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5th grade (Eureka Math/EngageNY)
Unit 1: module 1: place value and decimal fractions, unit 2: module 2: multi-digit whole number and decimal fraction operations, unit 3: module 3: addition and subtractions of fractions, unit 4: module 4: multiplication and division of fractions and decimal fractions, unit 5: module 5: addition and multiplication with volume and area, unit 6: module 6: problem solving with the coordinate plane.
Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)
Looking for video lessons that will help you in your Common Core Grade 5 Math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 5 students?
The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.
Related Pages Common Core Math Resources, Lesson Plans And Worksheets Common Core Math Video Lessons, Math Worksheets and Games for Grade 5 Common Core Math Video Lessons, Math Worksheets and Games for all grades
Grade 5 Homework, Lesson Plans And Worksheets
| Module 1 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NBT.1, 5.NBT.2, 5.MD.1 Days: 4 : Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. ( ) : Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths. ( ) : Use exponents to name place value units and explain patterns in the placement of the decimal point. ( ) : Use exponents to denote powers of 10 with application to metric conversions. ( ) | ||
| Standard: 5.NBT.3 Days: 2 : Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. ( ) : Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =. ( ) | ||
| Standard: 5.NBT.4 Days: 2 , : Round a given decimal to any place using place value understanding and the vertical number line. ( ) ( ) | ||
| : Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Standard: 5.NBT.2, 5.NBT.3, 5.NBT.7 Days: 2 : Add decimals using place value strategies and relate those strategies to a written method. ( ) : Subtract decimals using place value strategies and relate those strategies to a written method. ( ) | ||
| Standard: 5.NBT.1, 5.NBT.3, 5.NBT.7 Days: 2 : Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used. ( ) : Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point. ( ) | ||
| Standard: 5.NBT.3, 5.NBT.7 Days: 4 : Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. ( ) : Divide decimals with a remainder using place value understanding and relate to a written method. ( ) : Divide decimals using place value understanding including remainders in the smallest unit. ( ) : Solve word problems using decimal operations. ( ) | ||
| : Topics A-F (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Module 2 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NBT.1, 5.NBT.2, 5.OA.1 Days: 2 : Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. ( ) : Estimate multi-digit products by rounding factors to a basic fact and using place value patterns. ( ) | ||
| Standard: 5.OA.1, 5.OA.2, 5.NBT.5 Days: 7 : Write and interpret numerical expressions and compare expressions using a visual model. ( ) : Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. ( ) : Connect visual models and the distributive property to partial products of the standard algorithm without renaming. ( ) :Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. ( ) : Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming. ( ) : Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. ( ) : Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. ( ) | ||
| Standard: 5.NBT.7, 5.OA.1, 5.OA.2, 5.NBT.1 Days: 3 : Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. ( ) : Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal. ( ) : Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation. ( ) | ||
| Standard: 5.NBT.7, 5.NBT.7, 5.MD.1 Days: 3 : Use whole number multiplication to express equivalent measurements. ( ) : Use decimal multiplication to express equivalent measurements. ( ) : Solve two-step word problems involving measurement and multi-digit multiplication. ( ) | ||
| : Topics A-D (assessment ½ day, return ½ day, remediation or further applications 2 days) | ||
| Standard: 5.NBT.1, 5.NBT.2, 5.NBT.6 Days: 3 : Use patterns for multi-digit whole number division. ( ) , : Use basic facts to approximate quotients with two-digit divisors. ( ) ( ) | ||
| Standard: 5.NBT.6 Days: 5 : Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method. ( ) : Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( ) : Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( ) , : Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. ( ) ( ) | ||
| Standard: 5.NBT.2, 5.NBT.7 Days: 4 : Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. ( ) : Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. ( ) , : Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. ( ) ( ) | ||
| Standard: 5.NBT.6, 5.NBT.7 Days: 2 , : Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. ( ) ( ) | ||
| : Topics A-H (assessment ½ day, return ½ day, remediation or further application 2 days) | ||
| Module 3 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NF.1, 5.NF.3 Days: 2 : Make equivalent fractions with the number line, the area model, and numbers. ( ) : Make equivalent fractions with sums of fractions with like denominators. ( ) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 5 : Add fractions with unlike units using the strategy of creating equivalent fractions. ( ) : Add fractions with sums between 1 and 2. ( ) : Subtract fractions with unlike units using the strategy of creating equivalent fractions. ( ) : Subtract fractions from numbers between 1 and 2. ( ) : Solve two-step word problems. ( ) | ||
| : Topics A-B (assessment ½ day, return ½ day, remediation or further applications 2 day) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 5 : Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. ( ) : Add fractions making like units numerically. ( ) : Add fractions with sums greater than 2. ( ) : Subtract fractions making like units numerically. ( ) : Subtract fractions greater than or equal to one ( ) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 4 : Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations. ( ) : Strategize to solve multi-term problems. ( ) : Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers. ( ) : Explore part to whole relationships. ( ) | ||
| : Topics C-D (assessment ½ day, return ½ day, remediation or further applications 2 day) | ||
| Module 4 Topics and Objectives | ||
|---|---|---|
| Standard: 5.MD.2 Days: 1 : Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots. ( ) | ||
| Standard: 5.NF.3 Days: 4 , : Interpret a fraction as division. ( )( ) : Use tape diagrams to model fractions as division. ( ) : Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. ( ) | ||
| Standard: 5.NF.4a Days: 4 : Relate fractions as division to fraction of a set. ( ) : Multiply any whole number by a fraction using tape diagrams. ( ) : Relate fraction of a set to the repeated addition interpretation of fraction multiplication. ( ) : Find a fraction of a measurement, and solve word problems. ( ) | ||
| Standard: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6 Days: 3 : Compare and evaluate expressions with parentheses. ( ) , : Solve and create fraction word problems involving addition, subtraction, and multiplication. ( ) | ||
| : Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Standard: 5.NBT.7, 5.NBT.4a, 5.NF.6, 5.MD.1 Days: 8 : Multiply unit fractions by unit fractions. ( : Multiply unit fractions by non-unit fractions. ( ) : Multiply non-unit fractions by non-unit fractions. ( ) : Solve word problems using tape diagrams and fraction-by-fraction multiplication. ( ) , : Relate decimal and fraction multiplication. ( ) : Convert measures involving whole numbers, and solve multi-step word problems. ( ) : Convert mixed unit measurements, and solve multi-step word problems. ( ) | ||
| Standard: 5.NF.5, 5.NF.6 Days: 4 : Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. ( ) , : Compare the size of the product to the size of the factors. ( ) : Solve word problems using fraction and decimal multiplication. ( ) | ||
| Standard: 5.OA.1, 5.NBT.7, 5.NF.7 Days: 7 : Divide a whole number by a unit fraction. ( ) : Divide a unit fraction by a whole number. ( ) : Solve problems involving fraction division. ( ) : Write equations and word problems corresponding to tape and number line diagrams. ( ) : Connect division by a unit fraction to division by 1 tenth and 1 hundredth. ( ) , : Divide decimal dividends by non-unit decimal divisors. ( )( ) | ||
| Standard: 5.OA.1, 5.OA.2 Days: 2 : Interpret and evaluate numerical expressions including the language of scaling and fraction division. ( ) : Create story contexts for numerical expressions and tape diagrams, and solve word problems. ( ) | ||
| : Topics A-H (assessment ½ day, return ½ day, remediation or further applications 2 days) | ||
| Module 5 Topics and Objectives | ||
|---|---|---|
| Standard: 5.MD.3, 5.MD.4 Days: 3 : Explore volume by building with and counting unit cubes. ( ) : Find the volume of a right rectangular prism by packing with cubic units and counting.( ) : Compose and decompose right rectangular prisms using layers. ( ) | ||
| Standard: 5.MD.3, 5.MD.5 Days: 6 : Use multiplication to calculate volume. ( ) : Use multiplication to connect volume as with volume as . ( ) : Find the total volume of solid figures composed of two non-overlapping rectangular prisms. ( ) : Solve word problems involving the volume of rectangular prisms with whole number edge lengths. ( ) , : Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. ( ) | ||
| : Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day) | ||
| Standard: 5.NF.4b, 5.NF.6 Days: 6 : Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. ( ) : Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. ( ) : Measure to find the area of rectangles with fractional side lengths. ( ) : Multiply mixed number factors, and relate to the distributive property and the area model. ( ) , : Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations. ( ) ( ) | ||
| Standard: 5.G.3, 5.G.4 Days: 6 : Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. ( ) : Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes. ( ) : Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes. ( ) : Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes. ( ) : Classify two-dimensional figures in a hierarchy based on properties. ( ) : Draw and identify varied two-dimensional figures from given attributes. ( ) | ||
| : Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day) | ||
| Module 6 Topics and Objectives | ||
|---|---|---|
| Standard: 5.G.1 Days: 6 : Construct a coordinate system on a line. ( ) : Construct a coordinate system on a plane. ( ) , : Name points using coordinate pairs, and use the coordinate pairs to plot points. ( ) , : Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes. ( )( ) | ||
| Standard: 5.OA.2, 5.OA.3, 5.G.1 Days: 6 : Plot points, use them to draw lines in the plane, and describe patterns within the coordinate pairs. ( ) : Generate a number pattern from a given rule, and plot the points. ( ) : Generate two number patterns from given rules, plot the points, and analyze the patterns. ( ) : Compare the lines and patterns generated by addition rules and multiplication rules. ( ) : Analyze number patterns created from mixed operations. ( ) : Create a rule to generate a number pattern, and plot the points.( ) | ||
| : Topics A-B (assessment 1 day, return 1 day, remediation or further applications 1 day) | ||
| Standard: 5.G.1, 5.G.2 Days: 5 : Construct parallel line segments on a rectangular grid. ( ) : Construct parallel line segments, and analyze relationships of the coordinate pairs. ( ) : Construct perpendicular line segments on a rectangular grid. ( ) : Construct perpendicular line segments, and analyze relationships of the coordinate pairs. ( ) : Draw symmetric figures using distance and angle measure from the line of symmetry. ( ) | ||
| Standard: 5.OA.3, 5.G.2 Days: 3 : Draw symmetric figures on the coordinate plane. ( ) : Plot data on line graphs and analyze trends.( ) : Use coordinate systems to solve real world problems. ( ) | ||
| : Topics A-D (assessment 1 day, return 1 day, remediation or further applications 1 day) | ||
| Standard: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7c, 5.MD.1, 5.MD.5, 5.G.2 Days: 5 , , , , : Make sense of complex, multi-step problems and persevere in solving them. Share and critique peer solutions. ( ) | ||
| Days: 9 , : Solidify writing and interpreting numerical expressions. ( ) : Solidify fluency with Grade 5 skills. , : Solidify the vocabulary of geometry. ( ) : Explore the Fibonacci sequence. : Explore patterns in saving money. ( ) , : Design and construct boxes to house materials for summer use. ( ) | ||
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Eureka Math Grade 5 Module 3 Lesson 16 Answer Key
Engage ny eureka math 5th grade module 3 lesson 16 answer key, eureka math grade 5 module 3 lesson 16 problem set answer key.
Question 2. Half of Robert’s piece of wire is equal to \(\frac{2}{3}\) of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert’s wire than Maria’s? Answer: length of Robert’s wire = R Length of Maria’s wire = M Half Length of Robert’s piece of wire = \(\frac{2}{3}\) Maria’s wire . \(\frac{R}{2}\) = \(\frac{2}{3}\) M \(\frac{R}{M}\) = \(\frac{4}{3}\) 3R = 4M R = \(\frac{4M}{3}\) R + M = 10 feet . \(\frac{4M}{3}\) + M = 10 feet . lcm is 3 4M +3M = 30 7M = 30 M = \(\frac{30}{7}\) R = \(\frac{4(M)}{3}\) = \(\frac{4}{3}\) × \(\frac{30}{7}\) = \(\frac{40}{7}\) . Length of Robert wire = \(\frac{40}{7}\) Length of Maria wire = \(\frac{30}{7}\) Length of Robert wire more than Maria wire = \(\frac{40}{7}\) – \(\frac{30}{7}\) = \(\frac{10}{7}\) . Therefore, Robert’s wire is \(\frac{10}{7}\) than Maria’s wire .
Question 3. Half of Sarah’s wire is equal to \(\frac{2}{5}\) of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet? Answer: Length of Sarah’s wire = S Length of Daniel’s wire = D Length of Chris wire = C Half of Sarah’s wire is equal to \(\frac{2}{5}\) of Daniel’s \(\frac{S}{2}\) = \(\frac{2D}{5}\) D = \(\frac{S}{2}\) × \(\frac{5}{2}\) = 5S. Chris has 3 times as much as Sarah C = 3S Total length of wire = 6 ft . C + D + S = 6 3S + 5S + S = 6 9S = 6 S = \(\frac{6}{9}\) = \(\frac{2}{3}\) feet . Therefore, Length of Sarah’s wire in feet = \(\frac{2}{3}\) feet .
Eureka Math Grade 5 Module 3 Lesson 16 Exit Ticket Answer Key
Eureka Math Grade 5 Module 3 Lesson 16 Homework Answer Key
d. 3 roads P, Q and R. P is twice longer than R . Q is half of P . Total length of the roads are 12 miles . which is the shortest road and its length .
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Engage NY Eureka Math 5th Grade Module 4 Lesson 16 Answer Key Eureka Math Grade 5 Module 4 Lesson 16 Problem Set Answer Key. Solve and show your thinking with a tape diagram. Question 1. Mrs. Onusko made 60 cookies for a bake sale. She sold \(\frac{2}{3}\) of them and gave \(\frac{3}{4}\) of the remaining cookies to the students working at the ...
Solve word problems using tape diagrams and fraction by fraction multiplication, common core, help students, help teachers, help parents
Multiplication and Division of Fractions and Decimal Fractions. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.
Engage NY // Eureka Math Grade 5 Module 4 Lesson 16 Homework. Engage NY // Eureka Math Grade 5 Module 4 Lesson 16 Homework.
EngageNY/Eureka Math Grade 5 Module 4 Lesson 16For more videos, please visit http://bit.ly/engageportalPLEASE leave a message if a video has a technical diff...
Grade 5; Gr5Mod4; Lesson 1; Homework Solutions; Homework Solutions. HW Solutions: Eureka Math Grade 5 Module 4 Lesson 1 ... Lesson 16. Lesson 17. Lesson 18. Lesson 19. Lesson 20. Topic F: Multiplication with Fractions and Decimal... Lesson 21. Lesson 22. Lesson 23. Lesson 24.
Grade 4 Module 5 Collapse all Expand all. Fraction Equivalence, Ordering, and Operations . Eureka Essentials ... Homework Solutions Page. Promethean Flipchart Page. Google Slides Page. ... Lesson 16 Video Page. Lesson PDF Page. Homework Solutions Page. Promethean ...
Learn fifth grade math aligned to the Eureka Math/EngageNY curriculum—arithmetic with fractions and decimals, volume problems, unit conversion, graphing points, and more. ... Divide decimals like 16.8÷40 by factoring out a 10; Module 4: Multiplication and division of fractions and decimal fractions: Quiz 4 ... Line plots of fraction ...
School District U-46 / Homepage
Eureka Math Grade 5 Module 4 Lesson 16 ‹ Eureka Math Grade 5 Module 4 Lesson 15 up Eureka Math Grade 5 Module 4 Lesson 17 ...
1. ea. Minds. eureka-math.org5•52. Build 2 different structures with the followi. volumes using your unit cubes. Then, draw one. f the figures on the dot paper. On. s. 7 cubic units8 cubic units3. Joyce says that the figure below, made of 1 cm cubes, has. a volume of 5 cubic.
Bundle options are available for all of our materials (print, digital, PD, etc.). Prices vary by grade and size of class set. Certain grade-levels do not include all packets due to the nature of the grade-level content. Student workbooks are available in class sets of 20, 25, and 30. Prices vary by size of class set.
Standard: 5.MD.2 Days: 1 Module 4 Overview Topic A Overview Lesson 1: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots. (Video Lesson) B. Fractions as Division Standard: 5.NF.3 Days: 4 Topic B Overview Lesson 2, Lesson 3: Interpret a fraction as division
e. 1. 1 + 4 = 4f. 17 =11 + 27Lesson 1: Decompose fractions as a sum of unit f. 512b. 103c. 2Lesson 2:Decompose fractions as a sum of unit f. ac. 2. 156b. 87c. 10Lesson 2:Decompose fractions as a sum of unit f. d. agrams.Lesson 2 Homework2. Step 1: Draw and shade a tape d.
Engage NY Eureka Math 4th Grade Module 5 Lesson 16 Answer Key Eureka Math Grade 4 Module 5 Lesson 16 Problem Set Answer Key Question 1. Solve. a. 3 fifths - 1 fifth = _____2
Eureka Math Grade 5 Module 4 Lesson 4 Homework Answer Key. Question 1. Draw a tape diagram to solve. Express your answer as a fraction. Show the addition sentence to support your answer. The first one is done for you. a. 1 ÷ 4 = 14. b. 4 ÷ 5 =. Answer:
Addition and Multiplication with Volume and Area. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.
The source for the homework pages is the full module PDF at this address:https://www.engageny.org/resource/grade-2-mathematics-module-4
Eureka Math Grade 4 - Module 5 - Topic D - Lesson 16: Using visual models to add and subtract fractions with the same units
Engage NY Eureka Math 5th Grade Module 5 Lesson 16 Answer Key Eureka Math Grade 5 Module 5 Lesson 16 Problem Set Answer Key. Question 1. Draw a pair of parallel lines in each box. Then, use the parallel lines to draw a trapezoid with the following: a. No right angles. b. Only 1 obtuse angle. c. 2 obtuse angles. d. At least 1 right angle. Answer ...
Eureka Math Grade 5 Module 4 Lesson 7 Homework Answer Key. Question 1. Solve using a tape diagram. b. 14 of 48. c. 23 × 18. d. 26 × 18. e. 37 × 49.
Multiply non unit fractions by non unit fractions, common core, tape diagrams, area models, word problems, convert metric measure, simplify fractions, help t...
Eureka Math Grade 5 Module 3 Lesson 16 Homework Answer Key. Draw the following roads. a. 1 road. The piece shown below is only 37 of the whole. Complete the drawing to show the whole road. b. 1 road. The piece shown below is 16 of the whole. Complete the drawing to show the whole road.