Glendale Unified School District Elementary Year-at-a-Glance Grade Level 5th Trimester 1 Trimester 1 Trimester 1 Trimester 2 Trimester 2 Trimester 2 Trimester 3 Trimester 3 Trimester 3 Trimester 3 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Approximate number of school days needed to teach, review and test the unit 25 days 20 days 10 days 25 days 20 days 20 days 10 days 10 days 10 days 10 days Title Whole Number Operations Place Value with Decimals Add and Subtract Decimals Add and Subtract Fractions Multiply and Divide Decimals Multiplying Fractions Dividing Fractions Classifying 2-D Figures Volume Coordinate Plane Standards Standards of Mathematical Practice Required 4th Grade Standards 5.NBT.A.1 5.NBT.A.2 5.NBT.B.5 5.NBT.B.6 5.OA.A.1 5.OA.A.2 5.OA.A.2.1 5.NBT.A.1 5.NBT.A.2 5.NBT.A.3.a 5.NBT.A.3.b 5.NBT.A.4 5.MD.A.1 5.NBT.B.7 5.OA.A.1 5.NF.A.1 5.NF.A.2 5.MD.A.1 5.MD.B.2 5.OA.A.1 5.NBT.A.2 5.NBT.B.7 5.OA.A.1 5.NF.B.4.a 5.NF.B.4.b 5.NF.B.5.a 5.NF.B.5.b 5.NF.B.6 5.NF.B.3 5.NF.B.7.a 5.NF.B.7.b 5.NF.B.7.c 5.G.B.3 5.G.B.4 MP.2 MP.6 MP.7 MP.7 MP.8 MP.2 MP.3 MP.6 MP.7 MP.1 MP.3 MP.4 MP.6 MP.2 MP.3 MP.6 MP.7 MP.8 MP.1 MP.2 MP.4 MP.6 MP.1 MP.2 MP.4 MP.6 4.MD.A.2 4.NF.A.1 4.NF.C.5 4.MD.A.2 4.NF.B.4 4.MD.A.2 4.OA.A.1 4.OA.A.2 4.OA.A.3 4.NBT.B.4 4.NBT.B.5 4.NBT.B.6 4.MD.A.2 4.NBT.A.2 4.NBT.A.3 5.MD.A.1 5.MD.C.3.a 5.MD.C.3.b 5.MD.C.4 5.MD.C.5.a 5.MD.C.5.b 5.MD.C.5.c 5.G.A.1 5.G.A.2 5.OA.B.3 MP.3 MP.7 MP.4 MP.6 MP.7 MP.8 MP.4 MP.6 4.MD.C.5 4.MD.C.6 4.MD.C.7 4.G.A.1 4.G.A.2 4.G.A.3 4.MD.A.2 4.OA.C.5 5th Grade Text Correlations NOTE: ● Students entering Grade 5 should be tested for math facts fluency at the beginning of school. Students who do not have automaticity in basic facts (+ - * /) are not working at grade level.In addition, students entering Grade 5 this year may lack a strong conceptual understanding of base ten. Supplementary materials from lower grade levels may be needed to provide scaffolding. ● All MJ “Math Box” pages are up to teacher discretion as some of the topics that they cover are not aligned to Common Core. Unit Clusters 1 Whole Number Operations 5. NBT.A Understand the place value system. 5.NBT.B Perform operations with multi-digit whole number (in a later unit) and with decimals to hundredths. Standards 5.NBT.A.1 5.NBT.A.2 5.NBT.B.5 5.NBT.B.6 EDM Text Correlation Learning Targets 5.NBT.A.1 Recognize magnitude (powers of 10) 5.NBT.A.2 Explain patterns of zeros when multiplying whole numbers by powers of 10 5.NBT.B.5 Multiply multi-digit whole numbers (fluently) 5.NBT.B.6 Divide whole numbers using various strategies (Introduce Student Reference Book: 1.1) 5.NBT.A.1 ● 7.3 Scientific Notation (save expanded notation page for unit 2) 5.NBT.A.2 ● 7.2 Exponential Notation (Powers of 10) 5.NBT.B.5 ● (From 2.8) MJ pg.50 (Multiplication of Whole Numbers) ● 2.1 Estimation Challenge ● 4.1 Division Facts and Extensions (mental strategies) ● 4.2 Partial-Quotients Division Algorithm ● 4.4 Partial-Quotients Algorithm Strategies 5.NBT.B.6 ● 1.2 Rectangular Arrays ● 1.5 Divisibility Rules ● 4.6 Interpreting the Remainder (SMP 4) Swun Text Correlation (Rev. July, 2014, Based on Lesson Titles and Standards as Provided by Swun) 5.NBT.A.1 ● 1.1 Place Value Chart ● 1.2 Place Value ● 1.15 (Task Lesson: Place Value) 5.NBT.A.2 ● 1.3 Powers of Ten with Whole Numbers ● 1.4 Powers of Ten with Whole Numbers ● 1.15 (Task Lesson: Place Value) 5.NBT.B.5 ● 2.4 Link the Area Model to Multiplication Algorithm ● 2.5 Link the Distributive Property to Multiplication Algorithm ● 2.6 Multiply Using the Standard Algorithm ● 2.11 (Task Lesson: Multiplication and Division) 5.NBT.B.6 ● 2.7 Divide Using Multiplication ● 2.8 Division by Decomposing ● 2.9 Divide Using the Area Model ● 2.10 Division Suggested Supplements (Use Optional) 5.NBT.A.1 Ready Common Core lesson 1 Place Value 5.NBT.A.2 Ready Common Core lessons : 2 Powers of Ten LearnZillion video- “Use whole-number exponents to denote powers of 10” LearnZillion videos- “ Exploring powers of ten ” 5.NBT.B.5 Ready Common Core lessons : 5 Multiply Whole Numbers Free Multiplication Task Cards from TpT 5.NBT.B.6 Ready Common Core lessons : 6 Divide Whole Numbers 5.OA.A Write and interpret numerical expressions. 5.OA.A.1 5.OA.A.2 5.OA.A.2.1 Illustrate division of whole numbers in various ways 5.OA.A.1 Evaluate numerical expressions with parentheses, brackets, or braces 5.OA.A.2 Write simple numerical expressions 5.OA.A.1 ● 7.4 Parentheses in Number Sentences 5.OA.A.2 ● 7.5 Order of Operations ● 2.4 Addition/Subtraction Number Sentences ● MJ 64 “Addition/Subtraction Number Stories” from 3.2 American Tour 5.OA.A.2.1 ● 1.6 Prime and Composite Numbers ● 1.4 Factor Captor ● 1.9 Factor Strings and Prime Factorization 5.OA.A.1 ● 2.1 Parentheses, Brackets, Braces ● 2.11 (Task Lesson: Multiplication and Division) 5.OA.A.2 ● 2.2 Interpret Numerical Expressions 5.OA.A.2.1 ● 2.3 Evaluate Expressions ● 2.11 (Task Lesson: Multiplication and Division) 5.OA.A.1 Ready Common Core lessons : 19 Evaluate and Write Expressions Flocabulary “Order of Operations: PEMDAS” 5.OA.A.2 Ready Common Core lessons : 19 Evaluate and Write Expressions LearnZillion video- “Write, interpret, describe and reason about expressions “5-Minute Math” Activities Booklet ● pg. 2-3 “Powers of Ten” ● pg. 7 “Using Exponents” ● pg. 22 “Fraction Multiplication” (Unit Conversion) ● pg. 67 “Multiplication Patterns” ● pg. 69 “Patterns” ● pg. 74-76 “Sequences” ● pg. 77 “Grouping Symbols” ● pg. 78 “Using Parentheses” ● pg. 80 “Powers of Ten” ● pg. 86 “Divisibility Rules for 3” ● pg. 90 “Whole Number Factors” ● pg. 96-97 “Whole Number Division” ● pg. 106 “Order of Operations” ● pg. 107 “Multiple Operations” ● pg. 131 “Conversion of Units” ● pg. 133 “Conversions: Yards, Feet, Inches” ● pg. 134 “Units of Weight: Conversions” ● pg. 136 “Time Conversions” ● pg. 137 “Scale and Conversion” ● pg. 153 “Patterns” ● pg. 154 “Number Patterns” ● pg. 157 “Sequence: Square Numbers” ● pg. 162 “Patterns” ● ● ● ● ● ● 2 Place Value with Decimals 5.NBT.A Understand the place value system. 5.NBT.A.1 5.NBT.A.2 Explain patterns in the number of zeros of the product 5.NBT.A.2 5.NBT.A.3. a 5.NBT.A.3.a ● Read decimals to thousandths ● Write decimals to thousandths using base-ten numerals ● Write decimals to thousandths using number names ● Write decimals to thousandths using expanded form 5.NBT.A.3.b 5.NBT.A.1 Recognize magnitude (powers of 10) 5.NBT.A.3.b ● Compare decimals to the thousandths using the meanings of the digits in each place value 5.NBT.A.4 ● Use place value understanding to round decimals to any place 5.NBT.A.1 5.NBT.A.2 5.NBT.A.3.a ● (From EDM 7.3) MJ 217 only (expanded notation) 5.NBT.A.3.b 5.NBT.A.1 5.NBT.A.2 ● 1.5 Powers of 10 with Decimals ● 1.6 Powers of 10 with Decimals 5.NBT.A.3.a ● 1.7 Read and Write Numbers to the Thousandths Place ● 1.8 Read and Write Numbers to the Thousandths Place ● 1.9 Expanded Form to the Thousandths ● 1.10 Expanded Form to the Thousandths ● 1.15 (Task Lesson: Place Value) 5.NBT.3.b ● 1.11 Compare Decimals ● 1.12 Compare Decimals ● 1.15 (Task Lesson: Place Value) 5.NBT.A.4 ● 1.13 Rounding ● 1.14 Rounding ● 1.15 (Task Lesson: Place Value) pg. pg. pg. pg. pg. pg. 163 “Grouping Symbols” 172 “Divisibility Rules for 3 and 9” 177 “Whole Number Theory” 193-194 “Order of Operations” 216 “Measurement Comparison” 242 “Sequence: Square Numbers” 5.NBT.A.1 LearnZillion video “Understand that a digit is 1/10 the value of the digit to the left” “ Decimals & Fractions Using Models and Manipulatives” from TpT $ 5.NBT.A.2 Ready Common Core Lesson 2 Understand Powers of 10 5.NBT.A.3.a Ready Common Core lessons: 3 Read and Write Decimals Khan Academy video- “Decimal Place Value” LearnZillion videos- “ Read and write decimals to the thousands ” “ Decimals & Fractions Using Models and Manipulatives” from TpT $ LearnZillion videos- “Read and write decimals to thousandths using base-ten numerals“ Learn Zillion video- “Write decimals in expanded notation” 5.NBT.A.3.b Ready Common Core lessons: 4 Compare and Round Decimals “Decimals Mega Foldables Pack” from TpT $ Decimal of the Day worksheet 5.NBT.A.4 Ready Common Core lessons: 4 Compare and Round Decimals Khan Academy video- “Rounding Decimals” LearnZillion videos- “ Rounding Decimals ” “Rounding Decimals in Colonial America” from TpT $ 5.MD.A Convert like measurement units within a given measurement system. 3 Add and Subtract Decimals 5.NBT.B Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.A.4 5.MD.A.1 5.MD.A.1 ● Convert measurements within the same measurement system ● Use measurement conversions to solve real-world problems 5.NBT.B.7 5.NBT.B.7 ● Add decimals to hundredths using various strategies ● Subtract decimals using various strategies ● Explain the reasoning of the strategy chosen for each operation 5.NBT.A.4 5.MD.A.1 5.NBT.B.7 ● 2.2 Addition of Whole Numbers and Decimals (Partial Sums) ● 2.3 Subtraction of Whole Numbers and Decimals (Partial Differences) 5.MD.A.1 (Lessons may not be restricted to decimals) ● 8.1 Length Multi-Step Word Problems ● 8.2 Length Multi-Step Word Problems ● 8.3 Weight Multi-Step Word Problems ● 8.4 Weight Multi-Step Word Problems ● 8.5 Volume Multi-Step Word Problems ● 8.6 Volume Multi-Step Word Problems ● 8.7 Time Multi-Step Word Problems ● 8.8 Time Multi-Step Word Problems ● 8.9 (Task Lesson: Measurement Multi-Step Word Problems) 5.NBT.B.7 ● 3.1 Add Decimals: Place Value Strategy ● 3.2 Add Decimals: Number Line Strategy ● 3.3 Add Decimals ● 3.4 Subtract Decimals: Place Value Strategy ● 3.5 Subtract Decimals: Number Line Strategy ● 3.6 Subtract Decimals ● 3.7 (Task Lesson: Add and Subtract Decimals) 5.OA.A.1 Decimal of the Day worksheet “Reading, Writing and Comparing Decimals Board Game” from TpT $ 5.MD.A.1 Ready Common Core lessons: 21 Convert Measurement Units Ready Common Core lessons: 22 Solve Word Problems Involving Conversions LearnZillion video- “Convert a smaller metric unit to a larger unit” Math Goodies word problems “ Converting units” “5-Minute Math” Activities Booklet ● pg. 14 “Decimal Place Value” ● pg. 89 “Decimal Place Value” ● pg. 94 “Decimal Place Value” ● pg. 91 “Whole and Decimal Number Rounding” ● pg. 178 “Decimal Rounding and Comparing” 5.NBT.B.7 Ready Common Core lesson 7 Add and Subtract Decimals Noodle video “Add Decimals- Partial Sums Method” Decimal of the Day worksheet MinecraftEdu “Decimal Island” world 5.OA.A.1 5.OA.A Write and interpret numerical expressions. 5.OA.A.1 5.OA.A.1 Evaluate numerical expressions with parentheses, brackets, or braces 5.OA.A.1 LearnZillion videos- “Use parentheses, brackets, or braces” “5-Minute Math” Activities Booklet ● pg.102 “Decimal Addition” ● pg. 104 “Decimal Addition” 4 Add and Subtract Fractions 5.NF.A Use equivalent fractions as a strategy to add and subtract fractions. 5.NF.A.1 5.NF.A.2 5.NF.A.1 ● Add fractions with unlike denominators ● Subtract fractions with unlike denominators ● Add mixed numbers with unlike denominators ● Subtract mixed numbers with unlike denominators 5.NF.A.2 Use mental estimation to assess the reasonableness of a sum or difference 5.NF.A.1 ● 5.4 Two Rules for Finding Equivalent Fractions (review of 4th grade, component of 5.NF.A.1) ● 8.1 Review: Comparing Fractions (review of 4th grade, component of 5.NF.A.1) ● 6.9 Clock Fractions and Common Denominators ● 6.10 Quick Common Denominators ● 8.2 Adding Mixed Numbers ● 8.3 Subtracting Mixed Numbers ● 8.4 Calculator Practice 5.NF.A.2 ● 6.8 Using a Slide Rule to Add and Subtract Fractions 5.NF.A.1 ● 4.1 Simplify Fractions ● 4.2 Simplify Fractions 5.NF.A.2 ● 4.3 Estimate Reasonableness of Fractions: Sums and Differences BOTH 5.NF.A.1 and 5.NF.A.2 ● 4.4 Add Fractions with Unlike Denominators: Area Model 1 ● 4.5 Add Fractions with Unlike Denominators: Area Model 2 ● 4.6 Add Fractions ● 4.7 Add Fractions with Unlike Denominators: Number Line ● 4.8 Add Fractions with Unlike Denominators: Number Line ● 4.9 Add Fractions: Algorithm ● 4.10 Add Fractions: Algorithm ● 4.11 (Task Lesson: Add Fractions) ● 5.1 Subtract Fractions with Unlike Denominators: Area Model 1 ● 5.2 Subtract Fractions with Unlike Denominators: Area Model 2 ● 5.3 Subtract Fractions with Unlike Denominators: Area Model 2 ● 5.4 Subtract Fractions with Unlike Denominators: Number Line ● 5.5 Subtract Fractions with Unlike Denominators: Number Line ● 5.6 Subtract Fractions: Algorithm ● 5.7 Subtract Fractions: Algorithm 5.NF.A.1 Ready Common Core Lessons: 10 Add and Subtract Fractions Fractions on a Line Plot from Illustrative Mathematics 5.NF.A.2 Ready Common Core Lessons: 11 Add and Subtract Fractions in Word Problems 5.MD.A Convert like measurement units within a given measurement system. 5.MD.B Represent and interpret data. 5.MD.A.1 5.MD.B.2 5.MD.A.1 ● Convert measurements within the same measurement system ● Use measurement conversions to solve real-world problems 5.MD.B.2 Make a line plot to display a data set of measurements 5.MD.A.1 5.MD.B.2 ● ● ● ● ● 5.8 Subtract Fractions with Regrouping: Area Model 5.9 Subtract Fractions with Regrouping: Area Model 5.10 Subtract Fractions with Regrouping: Algorithm 5.11 Subtract Fractions with Regrouping: Algorithm 5.12 (Task Lesson: Subtracting Fractions) 5.MD.A.1 ● 8.1 Length Multi-Step Word Problems ● 8.2 Length Multi-Step Word Problems ● 8.7 (?) Time Multi-Step Word Problems ● 8.8 (?) Time Multi-Step Word Problems ● 8.9 (Task Lesson: Multi-Step Word Problems) 5.MD.B.2 ● 8.10 Line Plots Involving Multi-Step Multiplication Word Problems ● 8.11 Line Plots Involving Multi-Step Multiplication Word Problems ● 8.12 Line Plots Involving Multi-Step Division Word Problems ● 8.13 Line Plots Involving Multi-Step Division Word Problems ● 8.14 (Task Lesson: Line Plots Involving Multi-Step Word Problems) 5.MD.A.1 Study Jams “Add and Subtract Measurements” 5.MD.B.2 Ready Common Core Lessons: 23 Make Line Plots and Interpret Data Fractions on a Line Plot from Illustrative Mathematics Line Plots of Fraction Measurements from EngageNY LearnZillion video- “Solve multi-step problems using information on a line plot” 5.OA.A Write and interpret numerical expressions. 5.OA.A.1 5.OA.A.1 EDM Differentiation Resources ● 5.1 Fraction Review (parts of whole taught in 3rd/4th, use for supplement as needed) ● 5.2 Mixed Numbers (concept taught in 4th, use for supplement as needed) ● 5.3 Comparing and Ordering Fractions (concept taught in 4th, use for supplement as needed) ● 6.1 Organizing data (concept taught in 4th, use for supplement as needed) ● 7.6 American Tour: Line Graphs 5.OA.A.1 Evaluate numerical expressions with parentheses, brackets, or braces 5.OA.A.1 “5-Minute Math” Activities Booklet ● pg.1 “Fractions” ● pg. 8-9 “Fractions: ½” ● pg. 26 “Fraction Addition and Subtraction” ● pg. 79 “Fractions” ● pg. 87 “Fractions: ½ and ¼” ● pg. 98-99 “Fraction Addition” ● pg. 101 “Fraction Subtraction” ● pg. 113 “Fraction Addition” ● pg. 165 “Fraction Equivalents, Adding Fractions” ● pg. 184 “Fraction Addition and Subtraction Word Problems” 5 Multiply and Divide Decimals 5.NBT.A Understand the place value system. 5.NBT.A.2 5.NBT.A.2 ● Explain patterns of zeros when multiplying whole numbers by powers of 10 ● Explain placement of decimal point when multiplying or dividing a decimal by a power of 10 ● Use whole-number exponents to denote powers of 10 5.NBT.A.2 5.NBT.A.2 ● 1.5 Powers of 10 with Decimals ● 1.6 Powers of 10 with Decimals ● 1.15 (Task Lesson: Place Value) 5.NBT.A.2 LearnZillion- “Multiply decimal numbers by powers of ten” Decimal of the Day worksheet 5.NBT.B Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.B.7 5.OA.A Write and interpret numerical expressions. 5.NBT.B.7 ● Multiply decimals using various strategies ● Divide decimals using various strategies ● Explain the reasoning of the strategy chosen for each operation 5.OA.A.1 Evaluate numerical expressions with parentheses, brackets, or braces Multiplying Fractions 5.NF.B Apply and extend previous understandings of multiplication and division. 5.NF.B.4 5.NBT.B.7 ● 2.8 Multiplication of Whole Numbers and Decimals (and 5.OA.A.2) ● 2.9 The Lattice Method of Multiplication (with Decimals) ● 4.5 Division of Decimal Number 5.NBT.B.7 ● 3.8 Multiply Whole Numbers by Decimals using the Area Model ● 3.9 Multiply Whole Numbers by Decimals using the Distributive Model ● 3.10 Multiply Whole Numbers by Decimals ● 3.11 Multiply Decimals by Decimals using the Area Model ● 3.12 Multiply Decimals by Decimals using the Distributive Model ● 3.13 Multiply Decimals by Decimals ● 3.14 Divide Decimals: Measuring Up ● 3.15 Divide Decimals: Dealing Method ● 3.16 Divide Decimals by Decimals ● 3.17 Divide Decimals using the Area Model ● 3.18 Divide Decimals using the Area Model ● 3.19 (Task Lesson: Multiply and Divide Decimals) 5.NBT.B.7 Ready Common Core lessons: 8 Multiply Decimals Ready Common Core lessons: 9 Divide Decimals Khan Academy- “Lattice Multiplication” Decimal of the Day worksheet “Dizzy Decimals Game” from TpT $ “5-Minute Math” Activities Booklet ● pg. 183 “Division Word Problems, Decimals” ● pg. 186 “Decimal Multiplication” 5.OA.A.1 ● 2.7 Estimating Products 5.OA.A.1 6 5.NF.B.4 ● Multiply a whole number by a fraction ● Multiply a fraction by a fraction 5.NF.B.4 ● 8.7 Multiplication of Fractions and Whole Numbers ● 8.8 Multiplying Fractions and Mixed Numbers 5.NF.B.4 5.NF.B.4 Math-Play “Multiplying Fractions Millionaire” online game 5.NF.B.4.a 5.NF.B.4.b 5.NF.B.5.a 5.NF.B.5.b 5.NF.B.6 5.NF.B.4.a ● Use a visual model to show multiplication of fraction and whole number ● Use a visual model to show multiplication of fractions 5.NF.B.4.b ● Find the area of a rectangle with fractional side lengths using tiles 5.NF.B.5.a Interpret multiplication as scaling/resizing by analyzing the product when one factor is kept constant 5.NF.B.5.b Interpret multiplication as scaling/resizing by analyzing the product when the factor is less than one 5.NF.B.6 ● Solve real world problems involving multiplication of fractions 5.NF.B.4.a ● 8.6 An Area Model for Fraction Multiplication 5.NF.B.4.b 5.NF.B.5.a 5.NF.B.5.b ● 8.5 Fractions of Fractions 5.NF.B.6 BOTH 5.NF.B.4.a and 5.NF.B.6 ● 6.10 Solve Word Problems Involving Multiplication of Fractions ● 6.11 Solve Word Problems Involving Multiplication of Fractions ● 6.14 Creating Word Problems 5.NF.B.4.b ● 6.8 Multiplying Fractions Using an Area Model ● 6.9 Multiplying Fractions Using an Area Model ● 6.12 Area of a Rectangle ● 6.13 Area of a Rectangle 5.NF.B.5.a ● 6.3 Reasoning about Comparing Products ● 6.4 Reasoning about Comparing Products 5.NF.B.5.b ● 6.5 Reasoning about Multiplying Fractions by 1 ● 6.6 Reasoning about Multiplying Fractions by 1 ● 6.7 Multiplying a Fraction by a Fraction 5.NF.B.6 ● 6.1 Fraction as Division ● 6.2 Fraction as Division ● 6.15 (Task Lesson: Multiply Fractions) 5.NF.B.4.a Ready Common Core lessons: 13 Products of Fractions Khan Academy videos- “Multiplying Fractions” 5.NF.B.4.b Ready Common Core lessons: 14 Multiply Fractions Using an area Model (5.NF.B.4b) 5.NF.B.5.a LearnZillion- “Interpret multiplication as scaling” I 5.NF.B.5.b Ready Common Core lessons: 15 Multiplication as Scaling 5.NF.B.6 Ready Common Core lessons: 16 Multiply Fractions in Word Problems llustrative Mathematics- “Solve real world problems involving multiplication of fractions” “5-Minute Math” Activities Booklet ● pg. 23 “Fraction Multiplication” ● pg. 71 “Multiplying by ½” ● pg. 238 “Multiplying by Unit Fractions” 7 Dividing Fractions 5.NF.B Apply and extend previous understandings of multiplication and division. 5.NF.B.3 5.NF.B.7 5.NF.B.7.a 5.NF.B.7.b 5.NF.B.7.c 5.NF.B.3 ● Interpret a fraction as division of the numerator by the denominator ● Solve word problems involving division of whole numbers using fractions or mixed numbers 5.NF.B.7 ● Explain the relationship between multiplication of fractions and division of fractions 5.NF.B.7.a ● Divide unit fractions by whole numbers 5.NF.B.7.b ● Divide whole numbers by unit fractions 5.NF.B.7.c ● Interpret real world division of fractions using visuals 5.NF.B.3 ● 5.5 Fractions and Decimals Part I (and 5.NBT.A.4) ● 5.6 Fractions and Decimals Part II (and 5.OA.A.2.1) ● 5.7 Fractions and Decimals Part III 5.NF.B.7 5.NF.B.3 ● 6.1 Interpret a Fraction as Division ● 6.2 Interpret a Fraction as Division 5.NF.B.7 5.NF.B.7.a ● 7.7 Word Problems Involving Mixed Numbers and Whole Numbers 5.NF.B.7.a ● 5.NF.B.7.b 5.NF.B.7.c BOTH 5.NF.B.7.a and 5.NF.B.7c ● 7.1 Divide Unit Fractions by Whole Number: Word Problems ● 7.2 Divide Unit Fractions by Whole Number: Create a Story ● 7.3 Divide Unit Fractions by Whole Number BOTH 5.NF.B.7.b and 5.NF.B.7.c ● 7.4 Divide Whole Numbers by Unit Fractions: Word Problems ● 7.5 Divide Whole Numbers by Unit Fractions: Create a Story ● 7.6 Divide Whole Numbers by Unit Fractions 5.NF.B.7.a, 5.NF.B.7.b, and 5.NF.B.7.c ● 7.8 Divide Whole Numbers and Mixed Numbers ● 7.9 (Task Lesson: Divide Fractions) 5.NF.B.3 Ready Common Core lessons: 12 Fractions as Division Ready Common Core lessons: 18 Divide Unit Fractions in Word Problems 5.NF.B.7 Flocabulary “Dividing Fractions” “Dizzy Decimals Game” from TpT $ Illustrative Mathematics- 5.NF.B.7 5.NF.B.7.a Common Core lessons: 17 Division with Unit Fractions 5.NF.B.7.b Common Core lessons: 17 Division with Unit Fractions 5.NF.B.7.c “5-Minute Math” Activities Booklet ● pg. 185 “Fraction Multiplication and Division” ● pg. 188 “Fraction Division” 8 Classifying 2-D Figures 5.G.B Classify two-dimensional figures into categories based on their properties. 5.G.B.3 5.G.B.4 5.G.B.3 ● Understand that attributes belonging to a category of 2D figures also belong to all subcategories of that category 5.G.B.4 ● Describe the properties of 2D figures ● Classify 2D figures in a hierarchy based on properties 5.G.B.3 ● 3.7 Properties of Polygons BOTH 5.G.B.3 and 5.G.B.4 ● 10.1 Hierarchy of Polygons ● 10.2 Classify Polygons ● 10.3 Classify Polygons 5.G.B.3 Ready Common Core lessons: 31 Properties of Two-Dimensional Figures 5.G.B.4 Ready Common Core lessons: 30 Classify Two-Dimensional Figures LearnZillion “Classify 2-dimensional shapes in a hierarchy” 5.G.B.4 EDM Differentiation Resources 3.4 Using a Protractor (4th grade standard to measure with a protractor, omit if students are proficient.) “5-Minute Math” Activities Booklet ● pg. 61 “Properties of 2-Dimensional Shapes” ● pg. 64 “Identifying Characteristics of 2-Dimensional Shapes” ● pg. 141 “Regular Polygons” ● pg. 145 “Classifying Quadrilaterals” ● pg. 146 “Classifying Triangles” 9 Volume MD.A Convert like measurement units within a given measurement system. MD.C Geometric measurement: understand concepts of volume. 5.MD.A.1 5.MD.C.3.a 5.MD.A.1 ● Convert measurements within the same measurement system ● Use measurement conversions to solve real-world problems 5.MD.C.3.a ● Define volume of a solid figure 5.MD.A.1 ● 11.6 Capacity and Weight 5.MD.C.3.a 5.MD.A.1 (See Also: Units 2 and 4 for lessons on measurement from Swun Unit 8) 5.MD.C.3 (Cannot access the problems at this time in order to determine exact content) 5.MD.A.1 5.MD.A.1 videos, conversion key and practice resources 5.MD.C.3.a LearnZillion- 5.MD.C videos 5.MD.C.3.b 5.MD.C.3.b ● Explain the concept of volume measurement using a cubic unit 5.MD.C.4 ● Measure volume by counting unit cubes 5.MD.C.3.b ● 11.5 Finding Volume by a Displacement Method 5.MD.C.4 ● 9.8 Volume of Rectangular Prisms 5.MD.C.4 5.MD.C.5.a 5.MD.C.5.a ● Use multiplication and addition to help in solving real-world volume problems 5.MD.C.5.a ● ● ● 8.5 Volume Multi-Step Word Problems 8.6 Volume Multi-Step Word Problems 8.10 (Task Lesson: Measurement Multi-Step Word Problems) 5.MD.C.3.a ● 10.4 Identify and Label Solid Figures; Understanding 3-D Figures ● 10.7 Find Volume Using Base Area x Height ● 10.8 Find Volume Using Base Area x Height 5.MD.C.3.b and 5.MD.C.4 ● 10.5 Find Volume With Unit Cubes ● 10.6 Find Volume with Unit Cubes 5.MD.C.3.b ● 10.9 Find Volume Using Algorithm ● 10.10 Find Volume Using Algorithm 5.MD.C.3.c ● 10.11 Volumes of Two Figures ● 10.12 Volumes of Two Figures (Standard Not Stated) ● 10.13 (Task Lesson: Volume) Ready Common Core lessons: 24 Volume Math is Fun “Cuboids, Rectangular Prisms and Cubes” 5.MD.C.3.b LearnZillion- 5.MD.C videos Ready Common Core lessons: 24 Volume Annenberg Learner: Interactives Geometry 3-D shapes “Find the Volume of a Rectangular Prism” 5.MD.C.4 LearnZillion- 5.MD.C videos Ready Common Core lessons: 25 Find Volume Using Unit Cubes 5.MD.C.5.a Math Village “Volume of rectangular prisms” LearnZillion- 5.MD.C videos Ready Common Core lessons: 26 Find Volume Using Formulas 5.MD.C.5.b Math Village “Volume of rectangular prisms” LearnZillion- 5.MD.C videos 5.MD.C.5.b 5.MD.C.5.c 10 Coordinate Plane 5.G.A Graph points on the coordinate plane to solve real-world and mathematical problems. 5.G.A.1 5.G.A.2 5.MD.C.5.b ● Apply the formula for rectangular prisms 5.MD.C.5.c ● Explain the process of finding the volume of two non-overlapping rectangular prisms 5.G.A.1 ● Create a coordinate system using a pair of perpendicular lines called axes ● Differentiate between the x-axis (and x-coordinate) and y-axis (and y-coordinate) ● Explain how to graph an ordered pair using the x-axis and y-axis 5.G.A.2 ● Use the first quadrant of the coordinate plane to represent real world and mathematical problems ● Interpret coordinate values of points in the context of a 5.MD.C.5.b ● 9.10 Capacity: Liter, Milliliter, and Cubic Centimeter (and 5.G.B.6) Ready Common Core lessons: 26 Find Volume Using Formulas Illustrative Mathematics “Cari’s Aquarium” Google Search of “Volume of a rectangular prism” Illustrative Mathematics “Cari’s Aquarium” Google Search of “Volume of a rectangular prism” 5.MD.C.5.c Math Village “Volume of rectangular prisms” LearnZillion- 5.MD.C videos Ready Common Core lessons: 27 Find Volume of Composite Figures 5.MD.C.5.c “5-Minute Math” Activities Booklet ● pg. 52 “Volume of a Prism” ● pg. 214-215 “Volume” 5.G.A.1 ● 9.1 Hidden Treasure: A Coordinate Game ● 9.2 Coordinate Graphs: Part I 5.G.A.2 ● 9.3 Coordinate Graphs: Part II ● 10.7 Reading Graphs 5.G.A.1 ● 9.1 Vocabulary & Plot Ordered Pairs ● 9.2 Plot Ordered Pairs Using Different Scales ● 9.3 Plot Ordered Pairs ● 9.8 Graph Shapes ● 9.9 Graph Shapes 5.G.A.1 and 5.G.A.2 ● 9.4 Orientation and Distance Between Points ● 9.5 Orientation and Distance Between Points ● 9.6 Orientation and Distance Between Points ● 9.7 Orientation and Distance Between Points ● 9.10 Coordinate Plane 5.G.A.1 Ready Common Core lessons: 28 The Coordinate Plane Khan Academy “The Coordinate Plane” BrainPop “Coordinate Plane” Flocabulary “The Coordinate Plane” Math-Play.com online interactive game “Graphing points in the coordinate plane” MinecraftEdu Worlds “The Graphing Zone” and “Coordinate Hunt” 5.G.A.2 Ready Common Core lessons: 29 Graph Points in the Coordinate Plane 5.OA.B Analyze patterns and relationships. 5.OA.B.3 real-world or mathematical problem 5.OA.B.3 ● Generate numerical patterns using given rules (in/out boxes) ● Form coordinate points from the patterns/rules ● Graph the ordered pairs on a coordinate plane ● Analyze the various patterns on the graphs Omit the following lessons from EDM: 1.3 Factor Pairs (4th grade) (unit 1 differentiation) 1.7 Square Numbers (6th grade) (unit 1 differentiation) 1.8 Unsquaring Numbers (6th grade) (unit 1 differentiation) 2.5 Estimate Your Reaction Time (6th Grade) 2.6 Chance Events (6th Grade) 2.10 Comparing Millions, Billions, and Trillions 3.1 Introduction to the American Tour (6th Grade data analysis) 3.3 Exploring angle measures (4th grade) (unit 8 differentiation) 3.4 Using a protractor (4th Grade) (unit 8 differentiation) 3.5 Using a Compass (copying line segments) (4th Grade) 3.6 Congruent Triangles (4th Grade) (unit 8 differentiation) 3.8 Regular Tessellations 3.9 Angles of polygons (6th Grade) (unit 8 differentiation) 3.10 Solving Problems Using Geom Template 4.7: use math master and study link only 4.7 Skills Review includes: ● calculator exploration of division (MJ 115: 4th Grade) (unit 1 differentiation) ● algebraic variables (Study Link: 6th Grade) ● triangle/polygon (MJ 116: 4th Grade) (unit 8 differentiation) 5.1 Fraction Review (4th Grade) (unit 4 differentiation) 5.2 Mixed numbers (4th Grade) (unit 4 differentiation) 5.3 Comparing and ordering fractions (4th Grade) (unit 4 differentiation) 5.8 Using a calculator to convert fractions to percents (6th Grade) (unit 6 differentiation) 5.9 Bar and circle graphs (6th Grade) 5.10 Percent circle: reading circle graphs (6th Grade) 5.OA.B.3 ● 4.3 American Tour (Converting distances on a map) ● 10.4 Rules, Tables, and Graphs: Part I ● 10.5 American Tour (MJ 350 only) ● 10.6 Rules, Tables, and Graphs: Part II 5.OA.B.3 ● 9.11 Relationship Between Two Patterns ● 9.12 Relationship Between Two Patterns ● 9.13 Graph Patterns ● 9.14 Graph Patterns 5.G.A.2 ● ● ● and 5.OA.B.3 9.15 Analyze Real World Data 9.16 Analyze Real World Data 9.17 (Task Lesson: Interpret Graphs on a Coordinate Plane) 5.OA.B.3 Ready Common Core lessons: 20 Analyze Patterns and Relationships 5.11 Percent circle: making circle graphs (6th Grade) 5.12 American Tour: School Days 6.1 Organizing data (6th Grade) (unit 4 differentiation) 6.2 Natural Measures of Length (4th grade) 6.3 Stem and Leaf Plots (6th Grade) 6.4 Mystery Plots (6th Grade) 6.5 Sample size and sound conclusions (6th Grade) 6.6 Analysis of sample data (6th Grade) 6.7 American Tour: Climate 7.1 Exponential Notation (6th Grade) (unit 1 differentiation) 7.6 American Tour: Line Graphs (6th Grade) (unit 4 differentiation) 7.7 Using Negative Numbers (6th Grade) 7.8 Addition of positive and negative numbers (6th Grade) 7.9 Subtraction of positive and negative numbers (6th Grade) 7.10 Using a Slide Rule to add and subtract (6th grade) 7.11 Calculator practice with negative numbers (6th grade) 8.9 Finding a Percent of a Number (6th Grade) 8.10 Relating Fractional Units to the Whole (4th Grade) (unit 6 differentiation) 8.11 American Tour: Rural and Urban (6th Grade) 8.12 Fraction Division (6th grade) (unit 6 differentiation) 9.4 Areas of rectangles (4th Grade) (unit 9 differentiation) 9.5 The Rectangle Method for Finding Area (6th Grade) (unit 9 differentiation) 9.6 Formulas for the Area of Triangles and Parallelograms (6th Grade) (unit 9 differentiation) 9.7 Earth’s Water Surface 9.9 Volume of Right Prisms (6th grade) (unit 9 differentiation) 10.1 Pan Balance Problems (6th Grade) 10.2 Pan Balance Problems with Two Balances ((6th Grade) 10.3 Algebraic Expressions (6th Grade) 10.8 Circumference of a circle (7th Grade) 10.9 Area of circles (7th Grade) 11.1 Review of geometric solids part I (Primary Grades) (unit 8 differentiation) 11.2 Review of geometric solids part II (Primary Grades) (unit 8 differentiation) 11.3 Volume of cylinders (8th Grade) 11.4 Volume of pyramids and cones (6th Grade) (unit 9 differentiation) 11.7 Surface Area (6th Grade) (unit 9 differentiation) 12.1 Factor Trees (to find GCF and LCM) (6th grade) (unit 4 differentiation) 12.2 Choices, Tree Diagrams, and Probability (7th Grade) 12.3 American Tour: Ratio Exploration (7th Grade) 12.4 Ratios of Parts to Wholes (some pages can be used as fractions of wholes rather than ratios) (7th Grade) 12.5 Number Models for Ratio Number Stories (7th Grade) 12.6 Finding Your Heart Rate (6th Grade) 12.7 Collecting, Graphing, and Interpreting Data (6th Grade) 12.8 Finding Your Cardiac Output (ratios: 6th Grade)
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