Module 1 Module 2 Module 3 Module 4 Module 5 Module 6 10 Core Lessons. 25 Core Lessons

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1 EngageNY pacing guides modified by Federal Way Public Schools Federal Way, WA Fifth Grade Pacing Within the development of the pacing guides, it is expected that these will be reasonably flexible depending on the needs of your class and pre-assessment data by module. The pacing guide for Fifth Grade has 154 days of instruction including 6 days for remediation, enrichment and assessment. In addition to the eighteen days used for beginning of the year routines, state and district assessments, these 8 days can be flexed based on your student needs. Skills spiral throughout the year and students may not be at mastery by the end of an individual lesson. In fact, many lessons anticipate that students will need more practice in concepts. Therefore, we recommend that if re-teaching needs to happen, it occurs as a part of the next day s lesson. By doing this, teachers are able to present concepts in several ways and will not get stuck within the same lesson for multiple days. Module Map for Fifth Grade Module 1 Module Module Module 4 Module 5 Module 6 10 Core Lessons 5 Core Lessons 11 Core Lessons 5 Core Lessons 0 Core Lessons 14 Core Lessons + 11 with Supplemental for Problem Solving Tasks 4 for Remediation, Enrichment and Assessment Suggested 16 for Problem Solving Task 4 for Remediation, Enrichment and Assessment Suggested 1 for Problem Solving Tasks 5 for Remediation, Enrichment and Assessment Suggested 18 for Problem Solving Tasks 5 for Remediation, Enrichment and Assessment Suggested 1 Day for Problem Solving Task 4 for Remediation, Enrichment and Assessment Suggested 5 Materials for Problem Solving Task 4 for Remediation, Enrichment (Assessments are not recommended to be used) Suggested 1

2 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 1 Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 5.NBT.1 5.NBT. 5.MD.1 A Multiplicative Patterns on the Place Value Chart Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. Lesson : Lesson : Lesson 4: 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. 5.NBT. B Decimal Fractions and Place Value Patterns Lesson 5: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. Lesson 6: Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =. 5.NBT.4 C Place Value and Rounding Decimal Fractions Lesson 7: Round a given decimal to any place using place value understanding and the vertical number line. Lesson 8: Round a given decimal to any place using place value understanding and the vertical number line. Mid-Module Assessment: Topics A C (assessment ½ day, return ½ day, remediation or further applications 1 day) 1 Standards Topics and Objectives 5.NBT. 5.NBT. 5.NBT.7 D Adding and Subtracting Decimals Lesson 9: Add decimals using place value strategies and relate those strategies to a written method. Lesson 10: Subtract decimals using place value strategies and relate those strategies to a written method. 5.NBT. 5.NBT. 5.NBT.7 E Multiplying Decimals Lesson 11: 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 1 Modified by FWPS for the 014/015 School Year Module 1: Place Value and Decimal Fractions Date: 6/17/14 v 01 Common Core, Inc. Some rights reserved. commoncore.org

3 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 1 Lesson 1: reasoning used. Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point. 5.NBT. 5.NBT.7 F Dividing Decimals Lesson 1: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. Lesson 14: Lesson 15: Lesson 16: 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. 1 End-of-Module Assessment: Topics A F (assessment ½ day, return ½ day, remediation or further applications 1 day) Total Number of Instructional 14 Lesson Number Instructional Notes 4 Focus is on metric conversion 7 Two lessons on vertical number line. Remove 7, keep 8. 1 Instead, incorporate estimating products into lesson These lessons are abstract conceptual understanding is covered in Modules and 4. End of Module assessment Remove #4. Modified by FWPS for the 014/015 School Year Module 1: Place Value and Decimal Fractions Date: 6/17/14 vi 01 Common Core, Inc. Some rights reserved. commoncore.org

4 NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview 5 Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 5.NBT.1 5.NBT. 5.OA.1 A Mental Strategies for Multi-Digit Whole Number Multiplication Lesson 1: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. Lesson : Estimate multi-digit products by rounding factors to a basic fact and using place value patterns. 5.OA.1 5.OA. 5.NBT.5 B The Standard Algorithm for Multi-Digit Whole Number Multiplication Lesson : Write and interpret numerical expressions and compare expressions using a visual model. 6 Lesson 4: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. Lesson 5: Connect visual models and the distributive property to partial products of the standard algorithm without renaming. Lesson 6: Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. Lesson 7: Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming. Lesson 8: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. Lesson 9: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. 5.NBT.7 5.OA.1 5.OA. 5.NBT.1 C Decimal Multi-Digit Multiplication Lesson 10: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. Lesson 11: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal. Lesson 1: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation. 5.NBT.5 D Measurement Word Problems with Whole Number and Decimal Multiplication Modified by FWPS for the 014/015 School Year Module : Multi-Digit Whole Number and Decimal Fraction Operations Date: 6/17/14 vii 01 Common Core, Inc. Some rights reserved. commoncore.org

5 NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview 5 Standards Topics and Objectives 5.NBT.7 5.MD.1 5.NBT.1 5.NBT. Lesson 1: Lesson 14: Lesson 15: Use whole number multiplication to express equivalent measurements. Use decimal multiplication to express equivalent measurements. Solve two-step word problems involving measurement and multidigit multiplication. Mid-Module Assessment: Topics A D (assessment ½ day, return ½ day, remediation or further applications days) 5.NBT.1 5.NBT. 5.NBT.6 E Mental Strategies for Multi-Digit Whole Number Division Lesson 16: Lessons 17: Use divide by 10 patterns for multi-digit whole number division. Use basic facts to approximate quotients with two-digit divisors. Lessons 18: Use basic facts to approximate quotients with two-digit divisors. 5.NBT.6 F Partial Quotients and Multi-Digit Whole Number Division Lesson 19: Lesson 0: Lesson 1: Lessons : Lessons : Combine lessons and. 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. 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. 4 5.NBT. 5.NBT.7 G Partial Quotients and Multi-Digit Decimal Division Lesson 4: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. Lesson 5: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. Lessons 6: Divide decimal dividends by two-digit divisors, estimating Modified by FWPS for the 014/015 School Year Module : Multi-Digit Whole Number and Decimal Fraction Operations Date: 6/17/14 viii 01 Common Core, Inc. Some rights reserved. commoncore.org

6 NYS COMMON CORE MATHEMATICS CURRICULUM Module Overview 5 Standards Topics and Objectives Lessons 7: quotients, reasoning about the placement of the decimal point, and making connections to a written method. Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. 5.NBT.6 5.NBT.7 H Measurement Word Problems with Multi-Digit Division Lesson 8: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. 1 Lesson 9: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. End-of-Module Assessment: Topics A H (assessment ½ day, return ½ day, remediation or further application days) Total Number of Instructional 9 Lesson Number Instructional Notes 10 Use for small group re-teaching if needed. Same content in lesson Can be used for additional practice/reteaching. - Problem set is rearranged to combine problems from each lesson. 6 Can be used for additional practice/reteaching. 7 Add problem set from lesson 7 to lesson 8 so students have one problem set to use during the lesson and one for independent practice. Modified by FWPS for the 014/015 School Year Module : Multi-Digit Whole Number and Decimal Fraction Operations Date: 6/17/14 ix 01 Common Core, Inc. Some rights reserved. commoncore.org

7 Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 4.NF.1 4.NF.c 4.NF.d A Equivalent Fractions Lesson 1: Make equivalent fractions with the number line, the area model, and numbers. Lesson : Make equivalent fractions with sums of fractions with like denominators. 5.NF.1 5.NF. B Making Like Units Pictorially Lesson : Add fractions with unlike units using the strategy of creating equivalent fractions. 4 Lesson 4: Add fractions with sums between 1 and. Lesson 5: Subtract fractions with unlike units using the strategy of creating equivalent fractions. Lesson 6: Subtract fractions from numbers between 1 and. Lesson 7: Solve two-step word problems. Mid-Module Assessment: Topics A B (assessment ½ day, return ½ day, remediation or further applications day) 5.NF.1 5.NF. C Making Like Units Numerically Lesson 8: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. 5 Lesson 9: Add fractions making like units numerically. Lesson 10: Add fractions with sums greater than. Lesson 11: Subtract fractions making like units numerically. Lesson 1: Subtract fractions greater than or equal to one. 5.NF.1 5.NF. D Further Applications Lesson 1: Lesson 14: Lesson 15: Lesson 16: Modified by FWPS for the 014/015 School Year 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. 0 Module : Addition and Subtraction of Fractions Date: 6/17/14 vi 01 Common Core, Inc. Some rights reserved. commoncore.org

8 Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 Standards Topics and Objectives End-of-Module Assessment: Topics C D (assessment ½ day, return ½ day, remediation or further applications 1 day) Total Number of Instructional 16 Lesson Number Instructional Notes 1-16 These would be great enrichment lessons! Modified by FWPS for the 014/015 School Year Module : Addition and Subtraction of Fractions Date: 6/17/14 vii 01 Common Core, Inc. Some rights reserved. commoncore.org

9 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 4 Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 5.MD. A Line Plots of Fraction Measurements Lesson 1: Measure and compare pencil lengths to the nearest 1/, 1/4, and 1/8 of an inch, and analyze the data through line plots. 5.NF. B Fractions as Division Lessons : Lessons : Lesson 4: Lesson 5: Interpret a fraction as division. 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. 5.NF.4a C Multiplication of a Whole Number by a Fraction Lesson 6: Lesson 7: Lesson 8: Lesson 9: 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. 1 5.OA.1 5.OA. 5.NF.4a 5.NF.6 D Fraction Expressions and Word Problems Lesson 10: Compare and evaluate expressions with parentheses. Lesson 11 1: Solve and create fraction word problems involving addition, subtraction, and multiplication. Mid-Module Assessment: Topics A D (assessment ½ day, return ½ day, remediation or further applications 1 day) 5.NBT.7 5.NF.4a 5.NF.6 5.MD.1 5.NF.4b E Multiplication of a Fraction by a Fraction Lesson 1: Lesson 14: Lesson 15: Multiply unit fractions by unit fractions. Multiply unit fractions by non-unit fractions. Multiply non-unit fractions by non-unit fractions. 7 Lesson 16: Solve word problems using tape diagrams and fraction-byfraction multiplication. Lessons 17: Relate decimal and fraction multiplication. Lessons 18: Relate decimal and fraction multiplication. Modified by FWPS for the School Year. Module 4: Multiplication and Division of Fractions and Decimal Fractions Date: 6/17/14 ix 01 Common Core, Inc. Some rights reserved. commoncore.org

10 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 4 Standards Topics and Objectives Lesson 19: Lesson 0: Convert measures involving whole numbers, and solve multistep word problems. Convert mixed unit measurements, and solve multi-step word problems. 5.NF.5 5.NF.6 F Multiplication with Fractions and Decimals as Scaling and Word Problems Lesson 1: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. Lessons : Compare the size of the product to the size of the factors. Lesson 4: Solve word problems using fraction and decimal multiplication. 5.OA.1 5.NBT.7 5.NF.7 G Division of Fractions and Decimal Fractions Lesson 5: Lesson 6: Divide a whole number by a unit fraction. Divide a unit fraction by a whole number. 5 Lesson 7: Solve problems involving fraction division. Lesson 8: Write equations and word problems corresponding to tape and number line diagrams. Lessons 9: Connect division by a unit fraction to division by 1 tenth and 1 hundredth. Lessons 0 1: Divide decimal dividends by non unit decimal divisors. 5.OA.1 5.OA. H Interpretation of Numerical Expressions Lesson : Interpret and evaluate numerical expressions including the language of scaling and fraction division. 1 Lesson : Create story contexts for numerical expressions and tape diagrams, and solve word problems. End-of-Module Assessment: Topics A H (assessment ½ day, return ½ day, remediation or further applications days) Total Number of Instructional 0 Lesson Number Instructional Notes Modified by FWPS for the School Year. Module 4: Multiplication and Division of Fractions and Decimal Fractions Date: 6/17/14 x 01 Common Core, Inc. Some rights reserved. commoncore.org

11 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 4 This concept is thoroughly covered in lesson and 4. 7 Move from concrete to abstract in tape diagrams by replacing or connecting counters with numbers when working with greater values. 9 This lesson would be a good extension or spiral review of measurement conversions. 10 This lesson needs contextual connections. 1 Remove given application problem and ask students to create a word problem for (7+5) using school lunch and students. 14 & 15 Combine these if your students are ready to move on. 18 Covered in Module. Use for re-teaching or review as needed. 1 Could use this as enrichment. 4 Could use this as enrichment. 8 Any model is acceptable for modeling division of fractions. Remove page 1 of problem set and problems 1 and from lesson. 0 This is a great strategy to teach, but is not required for mastery. 1- Could use this as enrichment. Remove #6. End of Module Assessment Remove #e, #f and #c Modified by FWPS for the School Year. Module 4: Multiplication and Division of Fractions and Decimal Fractions Date: 6/17/14 xi 01 Common Core, Inc. Some rights reserved. commoncore.org

12 Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 5 New York State Common Core Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 5.MD. 5.MD.4 A Concepts of Volume Lesson 1: Explore volume by building with and counting unit cubes. Lesson : Find the volume of a right rectangular prism by packing with cubic units and counting. Lesson : Compose and decompose right rectangular prisms using layers. 5.MD. 5.MD.5 B Volume and the Operations of Multiplication and Addition Lesson 4: Use multiplication to calculate volume. 6 Lesson 5: Use multiplication to connect volume as packing with volume as filling. Lesson 6: Find the total volume of solid figures composed of two nonoverlapping rectangular prisms. Lesson 7: Solve word problems involving the volume of rectangular prisms with whole number edge lengths. Lessons 8 9: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. Mid-Module Assessment: Topics A B (assessment 1 day, return ½ day, remediation or further applications ½ day) 5.NF.4b 5.NF.6 C Area of Rectangular Figures with Fractional Side Lengths Lesson 10: Find the area of rectangles with whole-by-mixed and whole-byfractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. 6 Lesson 11: Find the area of rectangles with mixed-by-mixed and fractionby-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. Lesson 1: Measure to find the area of rectangles with fractional side lengths. Lessons 1: Multiply mixed number factors, and relate to the distributive property and the area model. Lessons 14 15: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations. 5.G. D Drawing, Analysis, and Classification of Two-Dimensional Shapes 5 Modified by FWPS for the 014/015 School Year Module 5: Addition and Multiplication with Volume and Area Date: 6/17/14 vii 014 Common Core, Inc. Some rights reserved. commoncore.org

13 Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 5 New York State Common Core 5.G.4 Lesson 16: Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. Lesson 17: Lesson 18: Lesson 19: Lesson 0: Lesson 1: 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. End-of-Module Assessment: Topics A D (assessment 1 day, return ½ day, remediation or further applications ½ day) Total Number of Instructional 4 Lesson Number Instructional Notes 14 & 15 Consider choosing one question from these lessons to go deeper with as a performance task. Focusing on one problem as a lesson will build stamina for students instead of switching between 4 different problems. 1 Use remediation/enrichment day for guess my shape game for further practice classifying. Modified by FWPS for the 014/015 School Year Module 5: Addition and Multiplication with Volume and Area Date: 6/17/14 viii 014 Common Core, Inc. Some rights reserved. commoncore.org

14 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 6 In developing the pacing for this module, we found that EngageNY develops these standards significantly beyond the standard/s expectations at the 5 th grade level. These standards serve to introduce students to proportional relationships and the coordinate grid to prepare them for deeper work in 6 th grade. In backwards planning through possible items on SmarterBalanced, many lessons were removed. Some are replaced with supplemental material. It is important to read all instructional notes for this module to decide how best to teach these concepts in your classroom. Overview of Module Topics and Lesson Objectives Standards Topics and Objectives 5.G.1 A Coordinate Systems Introduce Coordinate Systems with Whole Numbers using Georgia Grade 5 Unit 5 Shoo-Fly (1 day) Air Traffic Controller (1 day) Lesson 1: Lesson : Lesson : Lesson 4: Lesson 5: Lesson 6: *see instructional notes 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. * 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. Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes. 6 5.OA. 5.OA. 5.G.1 B Patterns in the Coordinate Plane and Graphing Number Patterns from Rules Georgia Unit 5: Earth Day Project (1 day) Lesson 7: Plot points, use them to draw lines in the plane, and describe patterns within the coordinate pairs.* Time Varies 6-10 days Lesson 8: Generate a number pattern from a given rule, and plot Modified by FWPS for the 014/015 School Year Module 6: Problem Solving with the Coordinate Plane Date: 6/17/14 viii 014 Common Core, Inc. Some rights reserved. commoncore.org

15 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 6 Standards Topics and Objectives the points. * Georgia Unit 5: First to Arrive (1 day) Lesson 9: Generate two number patterns from given rules, plot the points, and analyze the patterns. Spend as much time as needed for students to explore relationships in the coordinate grid. 1-5 days Contextual Problems: Real Life Scenarios and Patterns with changes in x and y (see instructional notes) Lesson 10: Lesson 11: Lesson 1: 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. Mid-Module Assessment: Topics A B (assessment 1 day, return 1 day, remediation or further applications 1 day) Do not use midmodule assessment 5.G.1 5.G. C Drawing Figures in the Coordinate Plane Lesson 1: Construct parallel line segments on a rectangular grid. 0 Lesson 14: Construct parallel line segments, and analyze relationships of the coordinate pairs. Lesson 15: Construct perpendicular line segments on a rectangular grid. Lesson 16: Construct perpendicular line segments, and analyze relationships of the coordinate pairs. Lesson 17: Draw symmetric figures using distance and angle measure from the line of symmetry. 5.OA. 5.G. D Problem Solving in the Coordinate Plane Lesson 18: Draw symmetric figures on the coordinate plane. Problem Solving Task: Granny s Balloon Trip (1 day) Lesson 19: Plot data on line graphs and analyze trends. Lesson 0: Use coordinate systems to solve real world problems. 4 Georgia Unit 5: What s the Better Buy? (1 day) Modified by FWPS for the 014/015 School Year Module 6: Problem Solving with the Coordinate Plane Date: 6/17/14 ix 014 Common Core, Inc. Some rights reserved. commoncore.org

16 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 6 Standards Topics and Objectives End-of-Module Assessment: Topics A D (assessment 1 day, return 1 day, remediation or further applications 1 day) Do not use end of module assessment. 5.NF. 5.NF. 5.NF.6 5.NF.7c 5.MD.1 5.MD.5 5.G. E Multi-Step Word Problems Lessons 1 5: Make sense of complex, multi-step problems and persevere in solving them. Share and critique peer solutions. 5 F The Years in Review: A Reflection on A Story of Units Lessons 6 7: Solidify writing and interpreting numerical expressions. Time Varies Lesson 8: Solidify fluency with Grade 5 skills. Lessons 9 0: Solidify the vocabulary of geometry. Lesson 1: Explore the Fibonacci sequence. Lesson : Explore patterns in saving money. Lessons 4: Design and construct boxes to house materials for summer use. Total Number of Instructional 8- Lesson Number Instructional Notes 1 This lesson is a review of the number line. For whole class instruction, only use the Application problem and spend more time on it. Another activity that could be involved in this lesson is to have students create a treasure map and work together to solve each other s coordinate grid treasure map. The problem set is extension. Feel free to use to review points. Modified by FWPS for the 014/015 School Year Module 6: Problem Solving with the Coordinate Plane Date: 6/17/14 x 014 Common Core, Inc. Some rights reserved. commoncore.org

17 New York State Common Core Module Overview Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 5 6,4 Make sure to teach whole numbers in a coordinate plane prior to teaching fractions. 5 Read through the problem set prior to using this to know where to focus time during instruction. If wanted, remove some items to go deeper with key concepts. 6 This is extension. 7 and 8 Both of these lessons extend above the standard. To teach this standard, only use page 1 of each problem set. Do not use page of either homework. 10 This is extension and could be used for enrichment for students to work on independently (if needed). 6-4 Choose enrichment/review activities as needed. Contextual Situations in the Coordinate Grid (1-5 days) Possible Resources to Use: Tri-Triangles Level B or C, SmarterBalanced released items (on following pages) Video Examples: Input and Output Table, Intro to Ratios (create a free account to watch this video) Students must be able to generate rules from a graphed equation, coordinate pairs and tables. For example if given a table, they must be able to say, The rule for x is add and the rule for y is multiply by The following examples are things that they may be asked to do on the SmarterBalanced assessment: Evaluate the relationship between variables in a coordinate plane Plot points based on rules for X and Y (x,y) Identify the nth term in a sequence Identify or create coordinate pairs based on rules On the following three pages, you will find examples of released items. It is important for students to see the connection to real world context in these to make sense of the rules. Modified by FWPS for the 014/015 School Year Module 6: Problem Solving with the Coordinate Plane Date: 6/17/14 xi 014 Common Core, Inc. Some rights reserved. commoncore.org

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19 Evaluate the relationship between an input (A) and an output (B) of terms Identify or create coordinate pairs given rules (P, Q)

20 Create a graph or choose a graph based on rules in (x,y) Identify the (nth) term in a sequence based on pattern All examples are from SmarterBalanced Item Specifications