Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)
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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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This section includes helpful information about assessments, including where to locate answer keys for module problem and homework sets as well as the location of sample questions for state assessments that are released to the public.
- When will the Grades 3-8 ELA and mathematics Common Core state assessment scores be released?
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- Where can I find grades 3-8 ELA and mathematics assessment materials, such as annotated questions and guidance?
- Where can I find information about the new Common Core Regents exams?
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For Math Grades 6-12, the answers are included in the "Teacher Materials" documents available on the module landing pages. If you navigate to a Math grade level, you can click on the module number in the dynamic "Curriculum Map" on the left to navigate to a module landing page.
The New York State Education Department is no longer supporting the EngageNY.org website as of March 2022. The EngageNY mathematics curriculum resources were moved here on March 1, 2022 from the EngageNY website. These curriculum files will remain free and licensed under the Creative Commons Attribution-NonCommercial-ShareAlike (CC BY-NC-SA ...
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. Share this page to Google Classroom 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 ...
NYS COMMON CORE MATHEMATICS CURRICULUM 5•Lesson 41 Lesson 4: Use exponents to denote powers of 10 with application to metric conversions. Date: 4/1/14 1.A.45
Related Topics: More Lesson Plans for the Common Core Math
Assessments, Answer Keys, and Sample Questions. This section includes helpful information about assessments, including where to locate answer keys for module problem and homework sets as well as the location of sample questions for state assessments that are released to the public. When will the Grades 3-8 ELA and mathematics Common Core state ...
Lesson 5: The Zero Product Property. ro Product PropertyExercises 1-4Find values of and that sati. y each of the following equations. (There m. ne cor. ct answer.)Exe. ci. es. 5 .
Mathematics Learning Standards In September 2017, the Board of Regents approved the New York State Next Generation Learning Standards for Mathematics, which will become effective at the beginning of the 2022-2023 school year. The 2011 P-12 Learning Standards for English Language Arts & Literacy will remain effective until that time. The following are available resources related to the standards.
Mathematics experiences in early childhood settings should concentrate on (1) number (which includes whole number, operations, and relations) and (2) geometry, spatial relations, and measurement, with more mathematics learning time devoted to number than to other topics. Mathematical process goals should be integrated in these content areas.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 2 NYS COMMON CORE MATHEMATICS CURRICULUM 5•Lesson 1 Answer Key1 Problem Set
Eureka Math TM and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from G8-M4-TE-1.3.-09.2015 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM 8•4
Lesson 4: Percent Increase and Decrease. Students solve percent problems when one quantity is a certain percent more or less than another. Students solve percent problems involving a percent increase or decrease. Students begin the lesson by reviewing the prerequisite understanding of percent. Following this are examples and exercises related ...
NYS COMMON CORE MATHEMATICS CURRICULUM Name Date thousandths hundredths thousandths 341.84-21.92 1. 2. Subtract.
Objective: Place any fraction on a number line with endpoints 0 and 1. Related Topics: More Lesson Plans for the Common Core Math
ion Toward Mastery Assessment Task Item and S. STEP 1Little evidence of reasoning without a corre. swer or evidence of solid reasoning with an incorr. 4Evidence of solid reasoning with a correct answer.(4 Points)NBT.72.NBT.8The student provides one to two correct answers with correct s.
Use the graphs of quadratic functions and to fill in the table and answer the questions on the following page.
The New York State P-12 Common Core Learning Standards (CCLS) are internationally-benchmarked and evidence-based standards. These standards serve as a consistent set of expectations for what students should learn and be able to do, so that we can ensure that every student across New YorkState is on track for college and career readiness. The New York State Education Department
Lesson 19: The Remainder Theorem. nder TheoremStudent Outcomes Students know and apply the Remainder Theorem and understand th. y in the theorem.Lesson Notes In this lesson, students are primarily working on exercises that lead them to the concept of the Remainder Theorem, the connection between factors and zeros of a polynomial, and how this ...
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 10 Problem Set 7xq 3. Circle the expression(s) that gives the same product as -x 7. Explain how you know. 1.5?35 4+35 35
Lesson 7 Homework 5+1. NYS COMMON CORE MATHEMATICS CURRICULUM. Name Answer Key. Date 2/17/15. Fill in the table, and then round to the given place.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11 HomeworkDirect. ns: Draw a tape diagram to model the follo. g. roblem. Use numbers and words to explain your work. 2. At the zoo, Brooke learned that one of rhinos weighed 4,897 pounds, one of the giraffes weighed 2,667 pounds, one of the African elephants weighed 12,456. po.
Advanced Math questions and answers. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Problem Set 5.1 1. Name Date Complete the sentences with the correct number of units, and then complete the equation a. 4 groups of tenths is 1.6. 1.6 + 4 b. 8 groups of hundredths is 0.32. 0.32 +8 7 groups of thousandths is 0.084. 0.084 +7 2.0+5= d. 5 groups ...