Homework 7 Little Words Answer

We have the answer for Homework 7 Little Words if you need help figuring out the solution! Puzzles can introduce new words and concepts, while helping you expand your vocabulary. They can also help you to think creatively and use problem-solving skills, which will help you develop those skills and translate them into other areas of your life.

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Homework 7 Little Words Answer is…

Answer: assignment.

This clue last appeared in the 7 Little Words on December 20, 2023 . You can also find answers to past 7 Little Words .

Today's 7 Little Words Answers

Clue

Icon 7 Little Words

You can play 7 Little Words by downloading its mobile app ( Google Play / Apple App Store ).

Clue & Answer Definitions

  • preparatory school work done outside school (especially at home)
  • a duty that you are assigned to perform (especially in the armed forces)
  • the act of distributing something to designated places or persons

About the 7 Little Words

7 Little Words is a word puzzle game that was first introduced in 2011 and has since become a popular source of entertainment and mental stimulation for puzzle lovers around the world. The puzzles are created by a team of experienced puzzle constructors who are known for their creativity and skill in the field of puzzle construction.

7 Little Words How to Play

One of the cool features of 7 Little Words is its simple and easy-to-understand format. The clues and answers are presented in a straightforward manner, and the game's interface is clean and uncluttered.

The game includes several modes, including a daily puzzle mode, a free-play mode, and a puzzle pack mode. The daily puzzle mode is updated every day and provides a new set of puzzles for players to solve.

We hope this helped you to finish today’s 7 Little Words puzzle. You can find all of the answers for each day’s set of clues in the 7 Little Words section of our website.

Christine Mielke

Christine Mielke

Christine Mielke has been writing content for the web for over 15 years. She is well-known for concise, informative content and her transparency. Christine is a 2011 graduate of Santa Clara University’s JD/MBA program, after having graduated in 2007 from University of California, Irvine with B.A. in Economics and B.A. in Political Science.

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Introducing our engaging and educational Math Worksheets for 7-Year-Olds, specially designed to make learning math a fun and enriching experience! Tailored to cater to the learning pace and interests of 7-year-olds, these worksheets cover a wide range of topics, from basic arithmetic to introductory geometry, ensuring a solid foundation in math. With vibrant illustrations and interactive exercises, our worksheets aim to foster a love for math while enhancing critical thinking and problem-solving skills. Perfect for both classroom and home use, these Math Worksheets for 7-Year-Olds are your child's stepping stone to mastering math with confidence and ease.

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Shared Food Worksheet

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Counting Backwards: Treasure Hunt Worksheet

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Compare Length in Inches and Centimeters Worksheet

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Let's Count Faces! Worksheet

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Green Digit Value Worksheet

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Number 10 Printable

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Solving Problems: Number Lines Worksheet

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Counting Past 1: Assessment 1 Worksheet

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Number Worksheet: Counting With Peapods

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Math worksheets designed specifically for 7-year-olds serve as a vital educational tool, facilitating young learners' journey into the fascinating world of numbers and arithmetic. At this formative age, children are naturally curious and eager to explore new concepts, making it the perfect time to introduce structured, engaging math activities. These worksheets are incredibly beneficial for several reasons.

Firstly, they provide a solid foundation in basic math skills such as addition, subtraction, multiplication, and division, which are crucial building blocks for more complex mathematical concepts encountered later in their academic journey. By mastering these fundamentals, 7-year-olds develop confidence in their math abilities, encouraging a positive attitude towards learning.

Secondly, math worksheets for 7-year-olds are designed to be age-appropriate, ensuring that the difficulty level matches their developmental stage. This fosters an environment where children can learn at their own pace, reducing frustration and enhancing their problem-solving skills. The variety of exercises available on these worksheets keeps learning fresh and exciting, preventing boredom and maintaining students' interest in math.

Moreover, these worksheets offer an excellent opportunity for practice and repetition, which is key to retaining new information. Through consistent use, 7-year-olds can reinforce what they've learned in class, leading to improved academic performance and a deeper understanding of mathematical concepts.

In conclusion, math worksheets for 7-year-olds are an indispensable resource for educators and parents alike, providing young learners with a fun, engaging, and effective way to develop their math skills and foster a lifelong love for learning.

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math homework 7 little words

7th Grade Mathematics - Important Vocabulary Words

The mathematical vocabulary terms below can be found in the Mathworks Math Explorations textbooks.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Absolute Value

  • The absolute value of a number is its distance from zero.
  • For any x, |x| is defined as follows: | x |= x, if x > 0, and | x |= −x, if x < 0

Acute Angle An angle whose measure is greater than 0 degrees and less than 90 degrees.

acute angle

Acute Triangle A triangle in which all three angles are acute angles.

Addition Property of Equality If a= b, then a + c= b + c.

Additive Inverse For any number x, there exists a number −x, such that x + −x= 0.

Adjacent Angle Two angles that share a common vertex and a common side.

Altitude of a Triangle A segment drawn from a vertex of the triangle perpendicular to the opposite side of the triangle, called the base, (or perpendicular to an extension of the base).

triangle altitude

Angle An angle is formed when two rays share a common vertex.

Area The surface area of a two-dimensional figure.

Area Model A mathematical model based on the area of a rectangle, used to represent multiplication or to represent  fractional parts of a whole.

Arithmetic Sequence A sequence a1, a2, a3, a4,... is an arithmetic sequence if there is a number c such that for each n, an + 1= an + c, that is an + 1 – an = c.

Associative Property of Addition For any numbers x, y , and z: (x + y) + z= x + (y + z).

Attribute A distinguishing characteristic of an object such as angles or sides of a triangle.

Average See: Mean.

Axis A number line in a plane. Plural form is axes. Also see: Coordinate Plane.

Bar Graph A graph in which rectangular bars, either vertical or horizontal, are used to display data.

bar graph

  • If any number x is raised to the nth power, written as x^n, x is called the base of the expression;
  • Any side of a triangle;
  • Either of the parallel sides of a trapezoid;
  • Either of the parallel sides of a parallelogram.

Box and Whisker Plot For data ordered smallest to largest the median, lower quartile and upper quartile are found and displayed in a box along a number line. Whiskers are added to the right and left and extended to the least and greatest values of the data.

box plot

Cartesian Coordinate System See: Coordinate Plane.

Center of a Circle A point in the interior of the circle that is equidistant from all points of the circle.

circle center

Chord A segment whose endpoints are points on a circle.

circle chord

Circle The set of points in a plane equidistant from a point in the plane.

Circle Graph See: Pie graph.

Circumference The distance around a circle. Its length is the product of the diameter of the circle and pi.

Coefficient In the product of a constant and a variable the constant is the numerical coefficient of the variable and is frequently referred to simply as the coefficient.

Combining Like Terms nk + nm= n(k + m). Also commonly called factoring.

Common Denominator A common multiple of the denominators of two or more fractions. Also see: Least Common Denominator

Common Factor A factor that two or more integers have in common. Also see: Greatest Common Factor.

Common Multiple See: Least Common Multiple.

Commutative Property of Addition For any numbers x and y: x + y = y + x.

Commutative Property of Multiplication For any numbers a and b: ab= ba.

Complement The complement of a set is a set of all the elements of the universal set that are not in the given set.

Complementary Angles Two angles are complementary if the sum of their measures totals 90º.

complementary

Composite Number A prime number is an integer p greater than 1 with exactly two positive factors: 1 and p. A composite number is an integer greater than 1 that has more than two positive factors. The number 1 is neither a prime nor a composite number.

Compound Interest Interest added to the principal of an account, so that the added interest also earns interest going forward.

Compound Event See: Event.

Cone A three-dimensional figure with a circular base joined to a point called the apex.

cone

Congruent Used to refer to angles or sides having the same measure and to polygons that have the same shape and size.

Conjecture An assumption that is thought to be true based on observations.

Constant A fixed value.

Constant of Proportionality If a function has a rule in the form y= Kx, then for any input x ≠ 0, the quotient of y/x will always have the value K. The number K is called constant of proportionality.

Constant Rate Of Change y= mx + b, here m is the constant rate of change.

Constant Rate Of Proportionality Another term for scale factor.

Coordinate(s) A number assigned to each point on the number line which shows its position or location on the line. In a coordinate plane that ordered pair, (x,y), assigned to each point of the plane showing its position in relation to the x-axis and y-axis.

Coordinate Plane A plane that consists of a horizontal and vertical number line, intersecting at right angles at their origins. The number lines, called axes, divide the plane into four quadrants. The quadrants are numbered I, II, III, and IV beginning in the upper right quadrant and moving counterclockwise.

Corresponding Angles

  • If two lines are cut by a transversal the angles on the same side of the transversal and on the same side of the two lines are corresponding angles. If the lines are parallel the pairs of angles will have equal measure.
  • If two polygons are similar the angles that are in the same relative position in the figures are corresponding angles and have equal measures.

Corresponding Sides If two polygons are similar the sides of the polygons in the same relative positions are corresponding sides and the ratio of the lengths of each pair is the same.

Counterclockwise A circular movement opposite to the direction of the movement of the hands of a clock.

counterclockwise

Counting Numbers The counting numbers are the numbers in the following never-ending sequence: 1, 2, 3, 4, 5, 6, 7... We can also write this as +1, +2, +3, +4, +5, +6, +7,... These numbers are also called the positive integers or natural  numbers.

Coupon A percentage discount or a fixed amount of money taken off the sale price of an item.

  • A three-dimensional shape having six congruent square faces.
  • The third power of a number.

cube

A three-dimensional figure with parallel circular bases of equal size joined by a lateral surface whose net is a rectangle.

cylinder

Data A collection of information, frequently in the form of numbers. Each individual piece of information is called a data point.

Data Analysis The process of making sense of collected data.

Data Point See: Data.

  • The circumference of a circle is divided into 360 equal parts or arcs. Radii drawn to both ends of the arc form an angle of 1 degree.
  • The degree of a term is the sum of the exponents of the variables. The degree of a polynomial is the highest degree of any of its terms.

Denominator The denominator of a fraction indicates into how many equal parts the whole is divided. The denominator appears beneath the fraction bar.

Dependent Variable The output values for a function.

Diameter A segment with endpoints on the circle that passes through its center.

Distributive Property n(k + m)= nk + nm.

Distance For any two numbers x and y, the distance between x and y is the absolute value of their difference; that is,  Distance= |x – y|.

Dividend The quantity that is to be divided.

Divisibility Suppose that n and d are integers, and that d is not 0. The number n is divisible by d if there is an integer q such that n= dq. Equivalently, d is a factor of n or n is a multiple of d.

Division Algorithm Given two positive integers a and b, we can always find unique integers q and r such that a= bq + r and 0  ≤ r < b. We call a the dividend, b the divisor, q the quotient, and r the remainder.

Divisor The quantity by which the dividend is divided.

Domain The set of input values in a function.

Edge A segment that joins consecutive vertices of a polygon or a polyhedron.

Elements Members of a set.

Empirical Probability Probability determined by real data collected from real experiments.

Empty set Also called a Null Set. A set that has no elements.

Equation A math sentence using the equal sign to state that two expressions represent the same number.

Equilateral Triangle An equilateral triangle is a triangle with three congruent sides. An equilateral triangle also has three congruent angles, which we can also call equiangular triangle.

  • A term used to describe equations or inequalities that have the same solution.
  • A term used to describe fractions or ratios that are equal.
  • A term used to describe fractions, decimals, and percents that are equal.

Event An event is any subset of the sample space. A simple event is a subset of the sample space containing only one possible outcome of an experiment. A compound event is a subset of the sample space containing two or more outcomes.

Experiment A repeatable action with a set of outcomes.

Experimental Probability See: Empirical Probability.

Expressions Mathematical phrases used to describe quantities.

Exponent Suppose that n is a whole number. Then, for any number x, the nth power of x, or x to the nth power, is the product of n factors of the number x. This number is usually written x^n. The number x is usually called the base of the expression x^n, and n is called the exponent.

Exponential Notation A notation that expresses a number in terms of a base and an exponent.

Face Each of the surface polygons that form a polyhedron.

Factor An integer that divides evenly into a dividend. Use interchangeably with divisor except in the Division Algorithm.

Factorial The factorial of a non-negative number n is written n! and is the product of all positive integers less than or equal to n. By definition 0!= 1!= 1.

Fraction Numbers of the form m/n, where n is not zero.

Frequency The number of times a data point appears in a data set.

Function A function is a rule which assigns to each member of a set of inputs, called the domain, a member of a set of outputs, called the range.

Graph of a Function The pictorial representation of a function.

Greater than, Less Than Suppose that x and y are integers. We say that x is less than y, x < y, if x is to the left of y on the number line. We say that x is greater than y, x > y, if x is to the right of y on the number line.

Greatest Common Factor, GCF Suppose m and n are positive integers. An integer d is a common factor of m and n if d is a factor of both m and n. The greatest common factor, or GCF, of m and n is the greatest positive integer that is a factor of both m and n. We write the GCF of m and n as GCF (m,n).

Height The length of the perpendicular between the bases of a parallelogram or trapezoid; also the altitude of a triangle.

Horizontal Axis See: Coordinate Plane.

Hypotenuse The side opposite the right angle in a right triangle.

Improper Fraction A fraction in which the numerator is greater than or equal to the denominator.

Independent Events If the outcome of the first event does not affect the outcome of the second event.

Independent Variable The input values for a function.

Inequality A statement that one expression is less than or greater than another.

Input Values The values of the domain of a function.

Integers The collection of integers is composed of the counting numbers, their negatives, and zero; ... −4, −3, −2, −1, 0, 1, 2, 3, 4...

Intersection of Sets A set whose elements are all the elements that the given sets have in common, written A ∩ B.

Irregular Polygon A polygon that is not a regular polygon.

Isosceles Triangle A triangle with at least two sides of equal length is called an isosceles triangle.

isosceles

Lateral Area The surface area of any three-dimensional figure excluding the area of any surface designated as a base of the figure.

Lattice Point A point of the coordinate plane, (x,y), in which both x and y are integers.

Law Of Large Numbers As the number of trials in an experiment are increased, the average of the experimental probability approaches the theoretical probability.

Least Common Denominator The least common denominator of the fractions p/n and k/m is LCM(n, m).

Least Common Multiple, LCM The integers a and b are positive. An integer m is a common multiple of a and b if m is a multiple of both a and b. The least common multiple, or LCM, of a and b is the smallest integer that is a common multiple of a and b. We write the LCM of a and b as LCM (a,b).

  • The two sides of a right triangle that form the right angle.
  • The equal sides of an isosceles triangle or the non-parallel sides of a trapezoid.

legs

Less Than See: Greater Than.

Line Graph A graph used to display data that occurs in a sequence. Consecutive points are connected by segments.

Line Plot A graph that shows frequency of data along a number line.

Line of Symmetry Half of the figure is the mirror image of the other half.

Line of Reflection The line across which a figure is reflected.

Linear Model for Multiplication Skip counting on a number line.

Magnitude The absolute value of a number; its distance from zero.

Mean The average of a set of data; sum of the data divided by the number of items. Also called the arithmetic mean or average.

Measures of Central Tendency Generally measured by the mean, median, or mode of the data set

Median The middle value of a set of data arranged in increasing or decreasing order. If the set has an even number of items the median is the average of the middle two items.

Missing Factor Model A model for division in which the quotient of an indicated division is viewed as a missing factor of a related multiplication.

Mixed Numbers The sum of an integer and a proper fraction.

Mode The value of the element that appears most frequently in a data set.

Multiplicative Inverse The number x is called the multiplicative inverse or reciprocal of the positive integer n if x · n= 1.

Multiplicity The number of times a factor appears in a factorization.

Natural Numbers See: Counting Numbers.

Net Yardage Total number of yards gained or lost at the end of a series of plays in a sports game.

Negative Integers Integers less than zero.

Nets One way to see the surface area of a three dimensional figure by cutting along its edges to produce a  two-dimensional figure.

Notation A technical system of symbols used to convey mathematical information.

Number Line Model A pictorial representation of numbers on a straight line.

Null Set See: Empty Set.

Numerator The expression written above the fraction bar in a common fraction to indicate the number of parts counted.

Obtuse Angle An angle whose measure is greater than 90 degrees and less than 180 degrees.

Obtuse Triangle A triangle that has one obtuse angle.

Opposite Angle The angle that is opposite to a given side of a plane figure.

Order Of Operations The order of mathematical operations, with computations inside parentheses to be done first, and addition and subtraction from left to right done last.

Ordered Pair A pair of numbers that represent the coordinates of a point in the coordinate plane with the first number  measured along the horizontal scale and the second along the vertical scale.

Origin The point with coordinate 0 on a number line; the point with coordinates (0,0) in the coordinate plane.

origin

Outcomes The set of possible results of an experiment.

Outlier A term referring to a value that is drastically different from most of the other data values.

Output Values The set of results obtained by applying a function rule to a set of input values.

Parallel Lines Two lines in a plane that never intersect.

parallel

Parallelogram A parallelogram is a four-sided figure with opposite sides parallel.

Percent A way of expressing a number as parts out of 100; the numerator of a ratio with a denominator of 100.

Perfect Cube An integer n that can be written in the form n= k ³ , where k is an integer.

Perfect Square An integer n that can be written in the form n= k ² , where k is an integer.

Perimeter The perimeter of a polygon is the sum of the lengths of its sides.

Perpendicular Two lines or segments are perpendicular if they intersect to form a right angle.

perpendicular

Pi The ratio of the circumference to the diameter of any circle, represented either by the symbol π , or the  approximation 22/7 or 3.1415926...

Pie Graph A graph using sectors of a circle that are proportional to the percent of the data represented.

pie graph

Polygon A polygon is a simple, closed, plane figure formed by three or more line segments.

Polyhedron A three-dimensional figure with four or more faces, all of which are polygons.

polyhedrons

Positive Integers See: Counting Numbers.

Power See: Exponent.

Prime Number See: Composite Number.

Prime Factorization The process of finding the prime factors of an integer. The term is also used to refer to the result of the process.

Prism A type of polyhedron that has two bases that are both congruent and parallel, and lateral faces which are parallelograms.

prisms

Probability In an experiment in which each outcome is equally likely, the probability P(A) of an event A is m/n where m is the number of outcomes in the subset A and n is the total number of outcomes in the sample space S.

Proof A reasoning to help establish a fact.

Proper Fraction A fraction whose value is greater than 0 and less than 1.

Proportion An equation of ratios in the form a/b = c/d, where b and d are not equal to zero.

Protractor An instrument used to measure angles in degrees.

Pyramid A type of polyhedron that has one face, called a base, and triangular lateral faces that meet at a point called the apex.

pyramid

Pythagorean Theorem The formula that states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a ² + b ² = c ² .

Quadrant See: Coordinate Plane.

Quadrilateral A plane figure with four straight edges and four angles.

Quotient The result obtained by doing division. See the Division Algorithm for a different use of quotient.

Radical Notation A math symbol to denote the root of an expression, such as square roots.

Radius The distance from the center of a circle a point of the circle. Plural form is radii.

Range The difference between the largest and smallest values of a data set. See Function for another meaning of  range.

Rate A rate is a division comparison between two quantities with different units. Also see Unit Rate.

Ratio A division comparison of two quantities with or without the same units. If the units are different they must be expressed to make the ratio meaningful.

Rational Number A number that can be written as a/b where a is an integer and b is a natural number.

Ray Part of a line that has a starting point and continues forever in only one direction.

Rebate Money that the customer receives, typically from the manufacturer, after making a purchase.

Reciprocal See: Multiplicative Inverse.

Rectangular Prism A solid 3D object that has six faces, each face being a rectangle.

rectangular prism

Reflection The transformation that moves points or shapes by “flipping” them across a line or axis; a mirror image of the original set of points. If B is the reflection of A in line L, then L is the perpendicular bisector of segment AB.

Regular Polygon A polygon with equal length sides and equal angle measures.

Relatively Prime Two integers m and n are relatively prime if the GCF of m and n is 1.

Remainder See: Division Algorithm.

Repeating Decimal A decimal in which a cycle of one or more digits is repeated infinitely.

Right Angle An angle formed by the intersection of perpendicular lines; an angle with a measure of 90º.

Right Triangle A triangle that has a right angle.

Root The nodes in a tree diagram to represent events.

Sale A reduction in the sale price of an item.

Sample Space The set of all possible outcomes of an experiment.

Scaffolding A method of division in which partial quotients are computed, stacked, and then combined.

Scale Factor If polygons A and B are similar and s is a positive number so that for each side of A with length k there is a  corresponding side of B with length sk, then s is the scale factor of A to B.

Scalene Triangle A triangle with all three sides of different lengths is called a scalene triangle.

scalene triangle

  • A process by which a shape is reduced or expanded proportionally.
  • Choosing the unit of measure to be used on a number line.

Scientific Notation A mathematical shorthand to represent large numbers.

Sector A region of a circle bounded by two radii and an arc of the circle which joins their endpoints.

Sequence A list of terms ordered by the natural numbers. The outputs of a function whose domain is the natural numbers or whole numbers.

Set A collection of objects or elements.

Set Model A representation of groups of objects.

Similar Polygons Two polygons whose corresponding angles have equal measures and whose corresponding side lengths form equal ratios.

Simple Event See: Event.

Simple Interest Interest (money) that one earns by investing money in an account.

Simplest Form of a Fraction A form in which the greatest common factor of the numerator and denominator is 1.

Simplifying The process of finding equivalent fractions to obtain the simplest form.

Skewed An uneven representation of a set of data.

Slant Height An altitude of a face of a pyramid or a cone.

Solution The value of the variable that makes the equation true.

Square Root For non-negative numbers x and y, y= x , read “y is equal to the square root of x,” means y ² = x.

Standard Notation Mathematical notation that is commonly used.

Stem and Leaf Plot A method of showing the frequency of a certain data by sorting and ordering the values.

Straight Angle An angle with a measure of 180 degrees formed by opposite rays.

Subset Set B is a subset of set A if every element of set B is also an element of set A.

Subtraction Property of Equality If a= b, then a – c= b – c.

Supplementary Angles Two angles are supplementary if the sum of their measures totals 180º.

supplementary

Surface Area The total area of all the faces of a polyhedron. The total of the lateral area and base area of a cone. The total of the lateral area and the two bases of a cylinder.

  • Each member of a sequence.
  • Each expression in a polynomial separated by addition and subtraction signs.

Terminating Decimal If a and b are natural numbers with b ≠ 0 and a ÷ b yields a finite quotient, the decimal formed is a terminating decimal.

Tessellation Tiling of a plane with some shape.

Theoretical Probability Probability based on mathematical law rather than a collection of data.

Translation A transformation that moves a figure along a line in a plane but does not alter its size or shape.

Transversal Any line that intersects two or more lines at different points.

Trapezoid A four sided plane figure with exactly one set of parallel sides.

Tree Diagram

  • A process used to find the prime factors on an integer.
  • A method to organize the sample space of compound events.

Triangle A plane figure with three straight edges and three angles.

Triangle Sum Theorem The sum of the measures of the interior angles of any triangle is 180 degrees.

Trichotomy A property stating that exactly one of these statements is true for each real number: it is positive, negative, or zero.

Unit Fractions Fractions of the form 1/n

Union of Two Sets A set that contains all of the elements that appear in either of the given sets, written A ∪ B.

Unit Rate A ratio of two unlike quantities that has a denominator of 1 unit.

Universal Set A set containing all of the elements under consideration.

Variable A letter or symbol that represents an unknown quantity.

Venn Diagram A diagram involving two or more overlapping circles that aids in organizing data.

  • The common endpoint of two rays forming an angle.
  • A point of a polygon or polyhedron where edges meet.

Vertical Angles If two straight lines intersect at a point, then each line is divided into two rays. The angles formed by using opposite rays from each line are called vertical angles.

Vertical Angle Theorem If two lines intersect at a point P, then the vertical angles formed will always have the same measure.

Vertical Axis See: Coordinate Plane.

Volume A measure of space; the number of unit cubes needed to fill a three-dimensional shape.

Whole Numbers The whole numbers are the numbers in the following never-ending sequence: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....

x-axis The horizontal axis of a coordinate plane.

x-coordinate The first number provided in an ordered pair (a, b).

y-coordinate The second number provided in an ordered pair (a, b).

y-axis The vertical axis of a coordinate plane.

Zero Pair For any natural number n, n + (−n) is called a zero pair because their sum is zero.

  • Number Charts
  • Multiplication
  • Long division
  • Basic operations
  • Telling time
  • Place value
  • Roman numerals
  • Fractions & related
  • Add, subtract, multiply,   and divide fractions
  • Mixed numbers vs. fractions
  • Equivalent fractions
  • Prime factorization & factors
  • Fraction Calculator
  • Decimals & Percent
  • Add, subtract, multiply,   and divide decimals
  • Fractions to decimals
  • Percents to decimals
  • Percentage of a number
  • Percent word problems
  • Classify triangles
  • Classify quadrilaterals
  • Circle worksheets
  • Area & perimeter of rectangles
  • Area of triangles & polygons
  • Coordinate grid, including   moves & reflections
  • Volume & surface area
  • Pre-algebra
  • Square Roots
  • Order of operations
  • Scientific notation
  • Proportions
  • Ratio word problems
  • Write expressions
  • Evaluate expressions
  • Simplify expressions
  • Linear equations
  • Linear inequalities
  • Graphing & slope
  • Equation calculator
  • Equation editor
  • Elementary Math Games
  • Addition and subtraction
  • Math facts practice
  • The four operations
  • Factoring and number theory
  • Geometry topics
  • Middle/High School
  • Statistics & Graphs
  • Probability
  • Trigonometry
  • Logic and proof
  • For all levels
  • Favorite math puzzles
  • Favorite challenging puzzles
  • Math in real world
  • Problem solving & projects
  • For gifted children
  • Math history
  • Math games and fun websites
  • Interactive math tutorials
  • Math help & online tutoring
  • Assessment, review & test prep
  • Online math curricula


→ → Grade 7

This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math program, but go especially well with .














The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

All worksheets come with an answer key placed on the 2nd page of the file.

In seventh grade, students will study pre-algebra topics, such as integer arithmetic, simplifying expressions, the distributive property, and solving equations & inequalities. They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.


Introduction to algebra

(round to two decimal digits)

(by combining like terms; no negative numbers) (for example 4 + 2  or  · 3 · · · 7)

Integers

— numbers from −20 to 20 — numbers from −50 to 50 — numbers from −100 to 100







by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.


(for example −6 + − 5  or  −7 · )
One-step equations
Rational numbers


(includes negative decimals) (includes negative decimals) (includes negative decimals) (includes negative decimals)

(includes negative decimals) (includes negative decimals) (includes negative decimals)

This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.




These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.



- up to 8-digit numbers - up to 12-digit numbers

- up to 8-digit numbers - up to 12-digit numbers

either the numerator or the denominator is an integer
Equations and inequalities - constants and coefficients are non-negative whole numbers - constants and coefficients may be negative integers (have a larger absolute value)

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.


Constant speed, time, and distance : using quarter hours : using twelfths of an hour : using decimal hours or hours and minutes time is given to the fourth of an hour time is given to the twelfth of an hour problems involve conversion of a time unit Graphing & Slope (slope is a whole number) (slope can be a fraction)
(slope is a whole number) (slope can be a fraction)
(slope is a whole number) (slope may be a fraction) by Edward Zaccaro

Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.


Ratio
Proportions

Percent — includes percentages more than 100%
— easy, percents are multiples of ten — medium, percents are multiples of five — percentages over 100% — use a calculator - easy - use a calculator

Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.




Geometry

(scaling on the grid is from -50 to 50)


(halves, thirds, and fourths; the whole number part is max 2) (challenge: fractions up till sixths)
(easy) (using decimals)
when surface area or volume is given

Here is a non-intimidating way to prepare students for formal geometry. workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.



Circle & Pi



















































7 th Grade Math Worksheets

Free, Printable Math Worksheets for at-home Practice

7th Grade Math Worksheets | Thinkster Math

A Parent’s Guide to Seventh Grade Math + Practice Worksheets

Download this informative guide to learn how to best support your seventh grader as they learn and master important seventh grade math concepts.

Free Practice Worksheets

Choose a Grade

Click on a concept below to try a sample question

Ratio & Proportion

Number system.

Printable 7th Grade Math Worksheets | Thinkster Math

Probability

Why 7th grade math worksheets are important.

A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what Seventh Graders learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including Seventh Grade. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren’t effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

Seventh Grade Math Worksheets | Thinkster Math

How Our Seventh Grade Math Worksheets Reflect Common Core Standards

In Seventh Grade, CCSS recommends that instructional time should focus on four critical skills. Thinkster worksheets for seventh grade have been designed to cater to these skills:

  • Developing understanding of and applying proportional relationships
  • Developing understanding of operations with rational numbers and working with expressions and linear equations
  • Solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume
  • Drawing inferences about populations based on samples

7th Grade Math Worksheets: Critical Areas of Focus

Seventh grade is very much a transition year for math. Much will be expected this year from students—after all, this is middle school, and the level of instruction, as well as the level of expectations, has increased. Yet, seventh graders will also discover that their hard work in previous years has left them well-prepared for this year’s math. For example, the concepts of ratio and unit rates introduced in seventh grade evolve into calculating the constant of proportionality in tables, graphs, equations, and diagrams in seventh. Here are four critical areas of focus, straight from Common Core, that will be emphasized in seventh grade:

Proportional Relationships

As already stated, ratios and proportions are a fluency requirement for seventh grade. Some of the focus will include real-world situations such as tax, discounts, tips, and other percentage problems. Students will solve problems about scale drawings, will graph proportional relationships and learn about slope, and distinguish proportional relationships from other relationships.

Rational Numbers, Expressions and Linear Equations

Students will understand that fractions, decimals, and percentages are different representations of rational numbers. Furthermore, they will extend their mastery of the four basic operations (addition, subtraction, multiplication, and division) to rational and negative numbers as well as expressions and equations involving one variable.

Scale Drawings, Informal Geometric Constructions, and Cross Sections of Twoand Three-Dimensional Shapes

Seventh graders will continue to work with area, including circumference and the surface area of three-dimensional objects. Congruence and similarity are on the horizon in Grade 8, and to prepare for that, students will reason about relationships using scale drawings and informal geometric constructions, as well as the relationship between angles and intersecting lines. They will also work with three-dimensional figures by examining two-dimensional cross sections, and they will solve real-world problems involving area, surface area, and volume.

Drawing Inferences on Populations Based on Samples

Having previously worked on single data distributions in Sixth Grade, seventh graders will compare two data distributions and answer questions about the differences of the populations. Also, they informally will work with random sampling to generate data sets and learn about drawing inferences based on representative samples. Seventh Grade : Introduction, Common Core State Standards Initiative. -->

Seventh Grade Common Core Math Worksheets | Thinkster Math

Overview of Seventh Grade Math Topics

Though they may have seem detailed, the four areas of focus presented in the previous section are more just starting points of what seventh graders can expect during this crucial school year. From those areas, teachers and students will delve into more specific concepts that will prepare kids for eighth grade math and beyond. The five topics presented here, taken directly from CCSS 4 itself, include some details on what kids will be taught in seventh grade.

Common Core 7th Grade Math Worksheets | Thinkster Math

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve realworld and mathematical problems. By the end of seventh grade, students will become experts in ratios and proportions. The concepts and activities in store for them include:

  • Computing unit rates of ratios associated with fractions. For example, if you swim 1/4 of mile in 1/10 of an hour, a complex fraction of 1/4 / 1/10 miles, or 2.5 miles, per hour can be computed.
  • Deciding whether two quantities are in a proportional relationship. This can be achieved by testing for equivalent ratios in a table or graphing on a coordinate plane and looking for a straight line through the origin.
  • Identifying the constant proportionality—the unit rate—in tables, graphs, equations, diagrams, verbal descriptions, and word problems.
  • Representing proportional relationships by equations. For example, if the total cost (t) of something is proportional to the number of items purchased (n) at one constant price (p), the relationship between the total cost and the number items can be described as t=pn.
  • Explaining what a point (x,y) on a graph of a proportional relationship means in terms of the situation, especially to the points (0,0) and (1,r) in which r is the unit rate.
  • Using proportional relationship to solve multi-step real-world problems. For example, if you paid $50 at a restaurant, and that total included a 20 percent tip, how much did you just pay for dinner itself before tipping?

Seventh Grade: Introduction, Common Core State Standards Initiative.

The Number System

• Apply and extend previous understandings of operations with fractions. Rational numbers also are emphasized with this topic, and students will understand how the additive property intertwines with this concept. Some areas taught include:

  • Adding and subtracting rational numbers (any number that can be written as a simple fraction, in which the denominator is not 0), and, from students’ understanding of fractions, applying these operations by using a number line.
  • Describing situations in which opposite quantities combine to make 0, which is an additive inverse. For example, spending $50 to pay off a negative account balance of -$50 to reach 0.
  • The knowledge of absolute value is extended: Understanding that p+q as the number located a distance |q| from p in a positive or negative direction (depending on if q was positive or negative).
  • Understanding that subtracting rational numbers is the same as adding the additive inverse. For example, 7 - 4 = 7 + (-4).
  • Dividing and multiplying rational numbers, and understanding that (-1)(-1)=1 and that -(p/q) = (-p)/q = p/(-q).
  • Converting a rational number to a decimal using long division, and the concept of repeating decimals.
  • Solving real-world problems involving rational numbers using the four basic operations.

7th Grade Math Worksheets | Thinkster Math

Expressions and Equations

• Use properties of equations to generate equivalent expressions. Students will apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. Also, they will discover that rewriting an expression or equation in a different form (for example, x + 0.1 = 1.1x is the same as increasing a number by 10 percent and is the same as multiplying by 1.1) can lead them to a better understanding of the problem at hand

• Solve real-life mathematical problems using numeric and algebraic expressions and equations. The algebra continues. Seventh graders will learn to:

  • Solve multi-step word problems with positive and negative rational numbers in any form (fractions, decimals, and whole numbers), and convert between forms when necessary (for example, if a business saw its profits increase by 10 percent in a year, it made 1/10 more money than last year).
  • Solve word problems that lead to equations such as px+q=r or p(x+q)=r, in which p, q, and r are rational numbers. Student s will also learn to compare the algebraic solution to an arithmetic solution and identify the series of operations in each approach—for example, if a rectangle has a perimeter of 30 inches and a length of 10 inches, what is the area?
  • Solve word problems involving inequalities; for example, a word problem that leads to the equation 2x + 5 < 25, so x < 10. Also, seventh graders will graph solution sets for inequalities—for example, if a pizza delivery driver makes $100 a week plus $2 per pizza, a student could graph how many pizzas the driver would need to deliver to make $175

• Draw, construct, and describe geometrical figures and describe the relationship between them. Students will solve problems involving scale drawings of geometric figures, will draw geometric shapes (by hand, with a ruler and compass, and with technology) with given conditions, and will describe two-dimensional figures resulting from slicing three-dimensional figures such as pyramids and rectangular prisms.

• Solve real-life and mathematical problems involving angle measure, area, surface, and volume. Seventh graders will master the formulas for area and circumference of circles and use this knowledge to solve problems. They will also work with different types of angles (supplementary, complementary, vertical, and adjacent) and solve problems involving volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Printable 7th Grade Math Worksheets | Thinkster Math

Statistics and Probability

• Use random sampling to draw inferences about a population. Students will understand that statistics can be used to gain information about a population, and they will also be taught about random sampling. Furthermore, seventh graders will gather data from a random sample to draw inferences about a population with an unknown characteristic. For example, if a classroom has three more girls than boys in it, make an estimate about how many more girls are at the entire school.

• Draw informal comparative inferences about two populations. Simply put, students compare two groups and arrive at conclusions, including inferences based on variability. For example, if one cross country team averages 9-minute miles during practice and a second team averages 10-minute miles, what will happen if a runner logging 7-minute miles switches from the first team to the second?

• Investigate chance processes, and develop, use, and evaluate probability models. Though it may not appear so at first glance, probability nicely ties in to many other topics seventh graders are being taught. Among the concepts explored:

  • Understanding that the probability of an event lies somewhere between 0 and 1— with near 0 being unlikely, around 1/2 as about even odds, and near 1 as likely.
  • Collecting data to approximate the probability of a chance event. For example, rolling a die 300 times and estimating a 6 will come up about, but likely not exactly, 50 times.
  • Developing a model for probability and explaining its results and discrepancies.
  • Using organized lists, tree diagrams, tables, and simulation to arrive at probabilities of compound events. For example, if half of the students in a classroom have brown eyes, what is the probability that if you pick a random eight kids, five will have that eye color?

Surviving Middle School Math

Junior high is a crazy time for many students. Many self-contained middle schools (schools that aren’t K-8) present unique challenges academically and socially. The homework load is greater, the routines are completely different, and kids that seemed so young just a couple years earlier are now ... teenagers. Moreover, 67 percent of middle school teachers feel that math is the toughest subject for students to re-engage in after summer break, and 50 percent added that kids' math skills regress more than any other school subject. Combining these factors creates a situation daunting for students and parents alike. And perhaps nowhere is the challenge more acute than with middle school math. However, there’s no reason why students can’t thrive during these two critical years. What follows are several tips for middle schoolers and their parents to help them through this part of their math education.

Printable 6th Grade Math Worksheets | Thinkster Math

Middle School Study Tips

• Be cool If you have been looking through this guide at the topics you can expect to learn for this school year, you may be understandably intimidated. However, the way Common Core is designed, you will get plenty of instruction, practice, and reinforcement with one concept before moving on.

Furthermore, you will discover that becoming good at a certain topic sets you up to succeed at the next. In many previous math curricula, teachers would move onto the next concept before many students felt they had mastered the last one. With Common Core, you can be confident you’ll be ready for whatever lies ahead.

• Practice When You Are Not Tired The homework loads of many students increase in middle school. However, your math capabilities are better suited for when you are most alert and less tired. Therefore, try to work on math homework in the later afternoon or early evening when you are at your freshest after school. Getting all your homework completed is important, but reading a book for a literature class won’t require the computing power from your brain that math will.

• Read the Question You might encounter math problems that appear intimidating, both on first glance and after you’ve read the question. No need to worry: Almost everything being thrown at you is stuff you have learned or are currently learning. Clear your mind and read the question again. Break down the problem by writing all the given information and relevant numbers. From there, work your way through the question on your path to the answer. Once you master this process, all those intimidating problems won’t seem so frightening.

• Check Your Work One helpful aspect of solving algebraic equations is that checking your work is easy: Simply plug in the answer into the variable of the original problem and do the math. This is a good habit to start with your homework because if you made a mistake, you have time to figure out what went wrong, which will help you all the more in the future. Furthermore, once you are proficient in checking your work accurately and quickly with your homework, you will naturally do the same on tests, possibly (and hopefully!) resulting in better grades because you are catching your mistakes before handing the test in.

• Keywords, Keywords, Keywords! One math strategy you likely learned in elementary school is to look for keywords when solving word problems. Keywords are simply clues within a word problem that guide you toward a solution. This strategy is just as applicable in middle school as it was when you were younger, maybe even more so as you work to solve multi-step problems. Moreover, with new concepts you are learning, a new set of words will be entering your math vocabulary. Look for terms such as save, rate, per, proportion, percentage, and compare in middle school word problems.

• Skip the Calculator You will encounter plenty of math in the coming years (especially in trigonometry and pre-calculus) that will require the use of a calculator. At this level, however, you should know how to perform almost every required operation without technological help. Skipping the calculator and figuring out problems by hand (for example, computing circumference by multiplying by 3.14) keeps your skills sharp, shows the teacher you are taking time to solve problems instead of taking a shortcut, and prepares you for tests on which a calculator isn't allowed.

• Math Everywhere Much of the math you are learning now can extend to rest of your life. Look for opportunities to practice your skills outside of school. For example, if you are watching a football game and see that a quarterback has completed 15 of 24 passes, try converting that number to a fraction and a percentage. Or, figure out what percentage a $5 tip on a $27 haircut is. Your math skills will help your realworld skills that when sharp, will improve your in-school math skills in turn.

• Ask for Help If you find yourself struggling with a specific concept or with math in general, by all means, seek help from your teacher. Educators want you to succeed, and they will do whatever they can to help you do so … but sometimes, you have to ask. Also, don’t be afraid to tell your parents that you are having a rough time. Most adults remember how challenging middle school math was, and your parents can provide encouragement, work with you and your teacher, or explore other options to get the help you need to succeed.

Parent Tips

Parenting a 12, 13, or 14 year old is already quite a task. Navigating middle school math only increases the challenge, as well as your possible level of stress. Arguing with your child about school work is counterproductive, so staying calm and working positively with him or her is essential, no matter how frustrated you may get. The time parents get with their growing children is short enough; you don’t want to spend the middle school years in a constant battle with your kids. Take a deep breath—you will survive math during these years. Here are some tips to keep your sanity along the way:

• Be cool This is sage advice for parents as well as students. The level of math education you and your child encounter in middle school is unlike anything you may have experienced before. Yet, students this age are ready to take their learning to another level the curricula wouldn’t include such content if they weren’t capable. Though there may be bumps along the way, your child can still reach the destination.

Sixth Grade Math Worksheets | Thinkster Math

• Relearn the Math One reason parents are apprehensive to engage their middle schooler with his or her math homework is that they might be a few decades removed from the math itself. Most parents remember how to multiply, but they might not have a clue how to solve two variable inequalities. Middle school math isn’t so difficult that adults can’t relearn the concepts. Many websites are available that describe a variety of math topics, or if you can sneak in 20 minutes here and there, read your student’s textbook (just don’t let your kids catch you!). Once you understand the math a little more, you will be better able to help your child when he or she is struggling.

• Understand Common Core Irrespective of your opinions about Common Core, more than likely, your kids are learning in a curriculum following the standards. Therefore, understanding the goals, guidelines, and structure of CCSS ultimately will help as you support your middle schooler through these years of math. For example, your child may be learning methods and strategies to solve a problem that you have never encountered. Your first inclination might be to dismiss these approaches and not offer any support. However, knowing that Common Core aims to provide multiple methods so that students achieve a well-rounded mastery will give you clarity on why your child is learning something a certain way … and it may inspire you to learn this new strategy as well.

• Drill for Skills Find opportunities for your middle schooler to practice math outside of his or her schoolwork. Challenge your daughter to compute tips. Direct your son to figure out what percentage of a gallon of gas is tax (the tax price is usually on the pump). If you are stuck in traffic or driving to an afterschool activity, rapid-fire some problems and equations, such as converting fractions to decimals. A couple extra minutes here and there keeps kids’ minds actively focused on math skills, which will be sharpened for when they are testing or doing homework.

• Become Involved If you are concerned with how Common Core is being implemented at your school, the amount of homework being given, or anything else in the math classroom, then you should absolutely get involved. Talk to teachers and administrators. Attend committee meetings. Research the subject that has you concerned. Parents naturally will have opinions about the quality of their children’s education. Those opinions can affect dialogue and solutions, but only if you take action. Your middle schooler is working hard to get the best education possible. There’s no reason you shouldn’t do the same for your child.

• Seek Help for Your Child If your middle-schooler is consistently struggling with math, your first step should be to talk to his or her teacher, who can provide guidance on how those struggles can be overcome. From there, another step you might consider is finding outside help your child. Several online resources provide math tutelage, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option, too. Innovative iPad-based math software has emerged that combines the personalized approach of a tutor with today’s technology. These revolutionary programs also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school

Tips for Helping Your Seventh Grader with These Seventh Grade Math Worksheets

In addition to the grade-specific standards it sets forth, Common Core also emphasizes eight “Standards of Mathematical Practice” that teachers at all levels are encouraged to develop in their students. Here are descriptions of these eight practices—designed to improve student performance—and how they apply to middle schoolers:

Seventh Grade Common Core Math Worksheets | Thinkster Math

Make sense of problems and persevere in solving them

Students explain the problem to themselves and determine ways they can reach a solution. Then, they work at the problem until it’s solved. By middle school, for example, many word problems are multi-step, requiring more than one operation on the way to an answer. Students must take care to determine what these steps are, decide what strategies (including correspondences between equations, verbal descriptions, graphs and tables, and looking for regularity and trends) will be necessary to solve the problem, and work toward the solution.

Reason abstractly and quantitatively

Students decontextualize and contextualize problems. By decontextualizing, they break down the problem into anything other than the standard operation. By contextualizing, they apply math into problems that seemingly have none. Middle-schoolers who are decontextualizing may envision a fraction or decimal into unit rates—for example, a student working with the fraction 3/8 might picture three squares across a chessboard—to help solve a problem. Students who are contextualizing might break a polygon into several smaller shapes in order to compute the total area.

Construct viable arguments and critique the reasoning of others

Students use their acquired math knowledge and previous results to explain or critique their work or the work of others, analyzing and using counterexamples as necessary. Most middle-schoolers have already learned how to work with classmates to achieve a goal. Students might be encouraged not only to work with a group to solve a particularly challenging math problem, but also to present and explain their solution to the teacher and the class.

Encourage them to show their work

This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer, especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.

Model with mathematics

This is just like it sounds: Students use math to solve real-world problems. For example, a national department store chain offers sales either in the form of percentages off retail price and by a flat dollar amount savings (and sometimes both). Middle-schoolers can use their knowledge of ratios and percentages to determine from which sales method they will save more.

Use appropriate tools strategically

Another self-explanatory practice: Students learn and determine which tools are best for the math problem at hand. For older kids, the tools may seem obvious—pencil, paper, calculator, protractor, and so on—but knowing when to use what is important. For example, graph paper can be a big help when solving variable inequalities.

Attend to precision

Students strive to be exact and meticulous—period. The math vocabulary introduced to middle-schoolers rapidly expanding, so students must be precise in their words as well as their numbers. Consider this example: An equation (x=1) is different than an expression (x-1) and an inequality (x>1). Middle-schoolers who know these definitions will have an easier time when working with the corresponding concepts.

Look for and make use of structure

Students will look for patterns and structures within math and apply these discoveries to subsequent problems. Take the equation x +5=10; to get an answer, 5 must be subtracted from both sides. This basic algebraic structure will apply to almost all equations middle-schoolers will encounter, no matter the operation or the number of variables. Once students recognize and master this structure, they will automatically think about both sides of the equation when solving.

Look for and express regularity in repeated reasoning

Students come to realizations—“aha” moments is a good term for these realizations—about the math operations that they are performing and use this knowledge in subsequent problems. For example, middle-schoolers may discover that tipping 15 percent is an easy computation: Figure out 10 percent of the bill, then take half of that and add to get 15 percent. In no time, they will want to figure out the tip when you are at a restaurant. 6 Standards for Mathematical Practice, Common Core State Standards Initiative. -->

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Seventh grade math

IXL offers hundreds of seventh grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Integers

  • 1 Understanding integers
  • 2 Integers on number lines
  • 3 Graph integers on horizontal and vertical number lines
  • 4 Understanding absolute value
  • 5 Absolute value and opposite integers
  • 6 Quantities that combine to zero: word problems
  • 7 Compare and order integers
  • 8 Integer inequalities with absolute values

B. Operations with integers

  • 1 Add integers using counters
  • 2 Add integers using number lines
  • 3 Integer addition rules
  • 4 Add integers
  • 5 Add three or more integers
  • 6 Subtract integers using counters
  • 7 Subtract integers using number lines
  • 8 Integer subtraction rules
  • 9 Subtract integers
  • 10 Integer addition and subtraction rules
  • 11 Add and subtract integers using counters
  • 12 Add and subtract integers
  • 13 Complete addition and subtraction equations with integers
  • 14 Add and subtract integers: word problems
  • 15 Understand multiplying by a negative integer using a number line
  • 16 Integer multiplication rules
  • 17 Multiply integers
  • 18 Integer division rules
  • 19 Equal quotients of integers
  • 20 Divide integers
  • 21 Integer multiplication and division rules
  • 22 Multiply and divide integers
  • 23 Complete multiplication and division equations with integers
  • 24 Add, subtract, multiply, and divide integers
  • 25 Evaluate numerical expressions involving integers

C. Decimals

  • 1 Decimal numbers review
  • 2 Compare and order decimals
  • 3 Round decimals

D. Operations with decimals

  • 1 Add and subtract decimals
  • 2 Add and subtract decimals: word problems
  • 3 Multiply decimals
  • 4 Multiply decimals and whole numbers: word problems
  • 5 Divide decimals
  • 6 Divide decimals by whole numbers: word problems
  • 7 Estimate sums, differences, and products of decimals
  • 8 Add, subtract, multiply, or divide two decimals
  • 9 Add, subtract, multiply, and divide decimals: word problems
  • 10 Multi-step inequalities with decimals
  • 11 Maps with decimal distances
  • 12 Evaluate numerical expressions involving decimals

E. Number theory

  • 1 Prime factorization
  • 2 Greatest common factor
  • 3 Least common multiple
  • 4 GCF and LCM: word problems

F. Fractions

  • 1 Understanding fractions: word problems
  • 2 Equivalent fractions
  • 3 Write fractions in lowest terms
  • 4 Fractions: word problems with graphs and tables
  • 5 Least common denominator
  • 6 Compare and order fractions
  • 7 Compare fractions: word problems
  • 8 Convert between mixed numbers and improper fractions
  • 9 Compare mixed numbers and improper fractions
  • 10 Round mixed numbers

G. Operations with fractions

  • 1 Add and subtract fractions
  • 2 Add and subtract fractions: word problems
  • 3 Add and subtract mixed numbers
  • 4 Add and subtract mixed numbers: word problems
  • 5 Inequalities with addition and subtraction of fractions and mixed numbers
  • 6 Estimate sums and differences of mixed numbers
  • 7 Multiply two fractions using models
  • 8 Multiply fractions
  • 9 Multiply mixed numbers
  • 10 Multiply fractions and mixed numbers: word problems
  • 11 Multiplicative inverses
  • 12 Divide fractions
  • 13 Divide mixed numbers
  • 14 Divide fractions and mixed numbers: word problems
  • 15 Estimate products and quotients of fractions and mixed numbers
  • 16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems
  • 17 Maps with fractional distances
  • 18 Evaluate numerical expressions involving fractions

H. Rational numbers

  • 1 Convert fractions or mixed numbers to decimals
  • 2 Convert decimals to fractions or mixed numbers
  • 3 Convert between decimals and fractions or mixed numbers
  • 4 Identify rational numbers
  • 5 Classify rational numbers using a diagram
  • 6 Classify rational numbers
  • 7 Absolute value of rational numbers
  • 8 Compare rational numbers
  • 9 Put rational numbers in order
  • 10 Classify real numbers

I. Operations with rational numbers

  • 1 Add and subtract positive and negative decimals
  • 2 Add and subtract positive and negative fractions
  • 3 Add and subtract rational numbers
  • 4 Rational numbers: find the sign
  • 5 Apply addition and subtraction rules
  • 6 Identify quotients of rational numbers: word problems
  • 7 Multiply and divide positive and negative decimals
  • 8 Multiply and divide positive and negative fractions
  • 9 Multiply and divide rational numbers
  • 10 Apply multiplication and division rules
  • 11 Multi-step word problems with positive rational numbers

J. Exponents

  • 1 Understanding exponents
  • 2 Evaluate powers
  • 3 Solve equations with variable exponents
  • 4 Powers with negative bases
  • 5 Powers with decimal and fractional bases
  • 6 Powers of ten
  • 7 Evaluate numerical expressions involving exponents
  • 8 Scientific notation
  • 9 Compare numbers written in scientific notation

K. Square roots

  • 1 Square roots of perfect squares
  • 2 Estimate square roots

L. Ratios, rates, and proportions

  • 1 Understanding ratios
  • 2 Identify equivalent ratios
  • 3 Write an equivalent ratio
  • 4 Equivalent ratios: word problems
  • 5 Unit rates
  • 6 Calculate unit rates with fractions
  • 7 Compare ratios: word problems
  • 8 Compare rates: word problems
  • 9 Do the ratios form a proportion?
  • 10 Do the ratios form a proportion: word problems
  • 11 Solve proportions
  • 12 Solve proportions: word problems
  • 13 Estimate population size using proportions

M. Coordinate plane

  • 1 Coordinate plane review
  • 2 Quadrants and axes
  • 3 Follow directions on a coordinate plane
  • 4 Distance between two points

N. Proportional relationships

  • 1 Find the constant of proportionality from a table
  • 2 Write equations for proportional relationships from tables
  • 3 Identify proportional relationships by graphing
  • 4 Find the constant of proportionality from a graph
  • 5 Write equations for proportional relationships from graphs
  • 6 Identify proportional relationships from graphs and equations
  • 7 Identify proportional relationships from tables
  • 8 Complete a table and graph a proportional relationship
  • 9 Graph a proportional relationship: word problems
  • 10 Interpret graphs of proportional relationships
  • 11 Write and solve equations for proportional relationships

O. Percents

  • 1 What percentage is illustrated?
  • 2 Convert between percents, fractions, and decimals
  • 3 Compare percents to fractions and decimals
  • 4 Estimate percents of numbers
  • 5 Solve percent problems using strip models
  • 6 Percents of numbers and money amounts
  • 7 Percents of numbers: word problems
  • 8 Solve percent equations
  • 9 Solve percent equations: word problems
  • 10 Percent of change
  • 11 Percent of change: word problems
  • 12 Percent of change: find the original amount word problems
  • 13 Percent error: word problems

P. Consumer math

  • 1 Add, subtract, multiply, and divide money amounts: word problems
  • 2 Price lists
  • 3 Unit prices
  • 4 Unit prices with unit conversions
  • 5 Unit prices: find the total price
  • 6 Percent of a number: tax, discount, and more
  • 7 Which is the better coupon?
  • 8 Find the percent: tax, discount, and more
  • 9 Sale prices: find the original price
  • 10 Multi-step problems with percents
  • 11 Estimate tips
  • 12 Simple interest
  • 13 Compound interest

Q. Units of measurement

  • 1 Compare and convert customary units
  • 2 Mixed customary units
  • 3 Compare and convert metric units
  • 4 Convert between customary and metric systems
  • 5 Celsius and Fahrenheit temperatures

R. Expressions

  • 1 Write variable expressions: one operation
  • 2 Write variable expressions: two or three operations
  • 3 Write variable expressions: word problems
  • 4 Evaluate linear expressions
  • 5 Evaluate multi-variable expressions
  • 6 Evaluate absolute value expressions
  • 7 Evaluate nonlinear expressions
  • 8 Identify terms and coefficients
  • 9 Sort factors of variable expressions

S. Equivalent expressions

  • 1 Properties of addition and multiplication
  • 2 Simplify expressions by combining like terms: with algebra tiles
  • 3 Simplify expressions by combining like terms
  • 4 Multiply using the distributive property: area models
  • 5 Multiply using the distributive property
  • 6 Write equivalent expressions using properties
  • 7 Add and subtract linear expressions
  • 8 Add and subtract like terms: with exponents
  • 9 Factor linear expressions: area models
  • 10 Factors of linear expressions
  • 11 Identify equivalent linear expressions using algebra tiles
  • 12 Identify equivalent linear expressions I
  • 13 Identify equivalent linear expressions II
  • 14 Identify equivalent linear expressions: word problems

T. One-variable equations

  • 1 Which x satisfies an equation?
  • 2 Write an equation from words
  • 3 Solve equations using properties
  • 4 Model and solve equations using algebra tiles
  • 5 Write and solve equations that represent diagrams
  • 6 Solve one-step equations
  • 7 Solve two-step equations without parentheses
  • 8 Solve two-step equations with parentheses
  • 9 Solve two-step equations
  • • New! Solve two-step equations with fractions
  • 10 Choose two-step equations: word problems
  • 11 Solve two-step equations: word problems
  • 12 Solve equations involving like terms
  • 13 Solve equations: complete the solution

U. One-variable inequalities

  • 1 Solutions to inequalities
  • 2 Graph inequalities on number lines
  • 3 Write inequalities from number lines
  • 4 Solve one-step inequalities
  • 5 Graph solutions to one-step inequalities
  • 6 One-step inequalities: word problems
  • 7 Solve two-step inequalities
  • 8 Graph solutions to two-step inequalities

V. Sequences

  • 1 Identify arithmetic and geometric sequences
  • 2 Arithmetic sequences
  • 3 Geometric sequences
  • 4 Sequences: mixed review
  • 5 Sequences: word problems
  • 6 Evaluate variable expressions for sequences
  • 7 Write variable expressions for arithmetic sequences
  • 1 Find the slope from a graph
  • 2 Find the slope from two points
  • 3 Find a missing coordinate using slope
  • 4 Graph a line using slope
  • 5 Constant rate of change
  • 6 Rate of change: tables
  • 7 Rate of change: graphs

X. Two-variable equations

  • 1 Identify independent and dependent variables
  • 2 Find a value using two-variable equations
  • 3 Evaluate two-variable equations: word problems
  • 4 Complete a table for a two-variable relationship
  • 5 Write a two-variable equation
  • 6 Identify the graph of an equation
  • 7 Graph a two-variable equation
  • 8 Interpret a graph: word problems
  • 9 Write an equation from a graph using a table
  • 10 Write a linear equation from a graph

Y. Lines and angles

  • 1 Name, measure, and classify angles
  • 2 Lines, line segments, and rays
  • 3 Parallel, perpendicular, and intersecting lines
  • 4 Identify complementary, supplementary, vertical, and adjacent angles
  • 5 Find measures of complementary, supplementary, vertical, and adjacent angles
  • 6 Write and solve equations using angle relationships
  • 7 Identify alternate interior and alternate exterior angles
  • 8 Transversals of parallel lines: name angle pairs
  • 9 Transversals of parallel lines: find angle measures
  • 10 Find lengths and measures of bisected line segments and angles

Z. Two-dimensional figures

  • 1 Identify and classify polygons
  • 2 Classify triangles
  • 3 Triangle inequality
  • 4 Identify trapezoids
  • 5 Classify quadrilaterals I
  • 6 Classify quadrilaterals II
  • 7 Graph triangles and quadrilaterals
  • 8 Find missing angles in triangles
  • 9 Find missing angles in triangles using ratios
  • 10 Find missing angles in quadrilaterals I
  • 11 Find missing angles in quadrilaterals II
  • 12 Interior angles of polygons
  • 13 Parts of a circle
  • 14 Central angles of circles

AA. Three-dimensional figures

  • 1 Bases of three-dimensional figures
  • 2 Nets of three-dimensional figures
  • 3 Front, side, and top view
  • 4 Cross sections of three-dimensional figures

BB. Perimeter and area

  • 1 Perimeter
  • 2 Area of rectangles and parallelograms
  • 3 Area of triangles and trapezoids
  • 4 Area and perimeter: word problems
  • 5 Circumference of circles
  • 6 Area of circles
  • 7 Circles: word problems
  • 8 Area of semicircles and quarter circles
  • 9 Semicircles: calculate area, perimeter, radius, and diameter
  • 10 Quarter circles: calculate area, perimeter, and radius
  • 11 Area of compound figures made of rectangles
  • 12 Area of compound figures with triangles
  • 13 Area of compound figures with triangles, semicircles, and quarter circles
  • 14 Area between two shapes

CC. Surface area and volume

  • 1 Surface area of cubes and prisms
  • 2 Surface area of pyramids
  • • New! Lateral area of prisms and pyramids
  • 3 Surface area of cylinders
  • 4 Volume of cubes and prisms
  • 5 Volume of cubes and rectangular prisms: word problems
  • 6 Volume of prisms: advanced
  • 7 Volume of pyramids
  • 8 Volume of cylinders

DD. Scale drawings

  • 1 Scale drawings of polygons
  • 2 Scale drawings: word problems
  • 3 Scale drawings: scale factor word problems
  • 4 Perimeter and area: changes in scale

EE. Transformations

  • 1 Identify reflections, rotations, and translations
  • 2 Translations: graph the image
  • 3 Translations: find the coordinates
  • 4 Reflections over the x- and y-axes: graph the image
  • 5 Reflections over the x- and y-axes: find the coordinates
  • 6 Reflections: graph the image
  • 7 Reflections: find the coordinates
  • 8 Rotations: graph the image
  • 9 Rotations: find the coordinates

FF. Congruence and similarity

  • 1 Similar and congruent figures
  • 2 Congruence statements and corresponding parts
  • 3 Side lengths and angle measures of congruent figures
  • 4 Side lengths and angle measures of similar figures
  • 5 Similar figures and indirect measurement

GG. Data and graphs

  • 1 Interpret line plots
  • 2 Create line plots
  • 3 Create and interpret line plots with fractions
  • 4 Interpret stem-and-leaf plots
  • 5 Create stem-and-leaf plots
  • 6 Interpret bar graphs
  • 7 Create bar graphs
  • 8 Interpret histograms
  • 9 Create histograms
  • 10 Create frequency charts
  • 11 Interpret circle graphs
  • 12 Circle graphs and central angles
  • 13 Box plots

HH. Statistics

  • 1 Calculate mean, median, mode, and range
  • 2 Interpret charts and graphs to find mean, median, mode, and range
  • 3 Mean, median, mode, and range: find the missing number
  • 4 Changes in mean, median, mode, and range
  • 5 Calculate mean absolute deviation
  • 6 Calculate quartiles and interquartile range
  • 7 Identify an outlier
  • 8 Identify representative, random, and biased samples
  • • New! Make inferences from multiple samples
  • 9 Compare populations using measures of center and spread

II. Probability

  • 1 Probability of simple events
  • 2 Probability of simple events and opposite events
  • 3 Probability of mutually exclusive events and overlapping events
  • 4 Experimental probability
  • 5 Make predictions using experimental probability
  • 6 Use collected data to find probabilities and make predictions
  • 7 Make predictions using theoretical probability
  • 8 Compound events: find the number of outcomes
  • 9 Compound events: find the number of sums
  • 10 Find the number of outcomes: word problems
  • 11 Probability of compound events
  • 12 Which simulation represents the situation?
  • 13 Identify independent and dependent events
  • 14 Probability of independent and dependent events

Seventh grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

  • Absolute value
  • Additive inverses
  • Adding and subtracting integers
  • Multiplying and dividing integers
  • Adding decimals
  • Subtracting decimals
  • Multiplying decimals by powers of 10
  • Multiplying decimals by whole numbers
  • Multiplying decimals
  • Dividing decimals by powers of 10
  • Dividing decimals by whole numbers
  • Dividing decimals
  • Rational numbers
  • Comparing rational numbers
  • Adding and subtracting rational numbers
  • Multiplying and dividing rational numbers

Exponents and powers of 10

  • Powers of 10

Properties and mixed operations

  • The distributive property
  • Order of operations

Percents, ratios, and rates

  • Unit rates with fractions
  • Simple interest
  • Percent change

Proportions and proportional relationships

  • Proportions
  • Proportional relationships
  • Constant of proportionality
  • Expressions and equations
  • Writing algebraic expressions
  • Evaluating expressions
  • Equivalent expressions
  • Simplifying expressions
  • Expanding expressions
  • Factoring expressions
  • Solving equations
  • Multi-step equations
  • Independent and dependent variables
  • Inequalities on a number line
  • Solving inequalities
  • Area of triangles
  • Area of parallelograms
  • Area of rhombuses
  • Area of trapezoids
  • Parts of a circle
  • Area of circles
  • Circumference of circles
  • Complementary angles
  • Supplementary angles
  • Adjacent angles
  • Vertical angles
  • What is surface area?
  • Surface area formulas
  • Volume formulas
  • Volume of rectangular prisms
  • Volume of prisms
  • Volume of cylinders
  • Volume of pyramids
  • Cross sections
  • Triangle inequality theorem

Statistics and probability

  • Mean, median, mode, and range
  • Mean absolute deviation
  • Box and whisker plots
  • Statistical questions
  • Probability
  • Compound probability
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    Possible Solution: ASSIGNMENT. Since you already solved the clue Homework which had the answer ASSIGNMENT, you can simply go back at the main post to check the other daily crossword clues. You can do so by clicking the link here 7 Little Words Bonus 4 February 4 2024.

  23. Free 7th Grade Math Worksheets—Printable w/ Answers

    Here you will find 200+ topic-specific printable 7th grade math worksheets. Each worksheet includes a variety of 7th grade math problems and a complete answer key so that students can check their work. Each worksheet can be downloaded as PDF file which can be shared online or by printing.