1	Unit 1 Place Value and Multidigit Addition and Subtraction
Big Idea 1 - Place Value to One Million
1-1:  Place Value to Thousands		1. Place value models
1-1:  Place Value to Thousands
1. Place value models
1-2:  Place Value Patterns		1. Convert between standard and expanded form: up to 10,000 2. Writing numbers up to 100,000 in words: convert digits to words 3. Writing numbers up to 100,000 in words: convert words to digits 4. Value of a digit
1-2:  Place Value Patterns
1. Convert between standard and expanded form: up to 10,000 2. Writing numbers up to 100,000 in words: convert digits to words 3. Writing numbers up to 100,000 in words: convert words to digits 4. Value of a digit
1-3:  Round Numbers		1. Round to the nearest ten, hundred, or thousand 2. Compare numbers up to one hundred thousand
1-3:  Round Numbers
1. Round to the nearest ten, hundred, or thousand 2. Compare numbers up to one hundred thousand
1-4:  Numbers to One Million		1. Convert between standard and expanded form: up to 1,000,000 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words
1-4:  Numbers to One Million
1. Convert between standard and expanded form: up to 1,000,000 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words
1-5:  Compare and Round Greater Numbers		1. Compare numbers up to one million 2. Rounding: up to hundred thousands place Also consider: • Rounding puzzles
1-5:  Compare and Round Greater Numbers
1. Compare numbers up to one million 2. Rounding: up to hundred thousands place Also consider: • Rounding puzzles
Big Idea 2 - Addition with Greater Numbers
1-6:  Make New Groups for Addition		1. Add two multi-digit numbers 2. Add two multi-digit numbers: word problems
1-6:  Make New Groups for Addition
1. Add two multi-digit numbers 2. Add two multi-digit numbers: word problems
1-7:  Add Greater Numbers		1. Add two numbers up to six digits
1-7:  Add Greater Numbers
1. Add two numbers up to six digits
1-8:  Estimation and Mental Math		1. Estimate sums 2. Estimate sums: word problems Also consider: • Add two numbers up to seven digits • Addition: fill in the missing digits • Add 3 or more numbers up to millions
1-8:  Estimation and Mental Math
1. Estimate sums 2. Estimate sums: word problems Also consider: • Add two numbers up to seven digits • Addition: fill in the missing digits • Add 3 or more numbers up to millions
Big Idea 3 - Subtraction with Greater Numbers
1-9:  Subtract from Thousands		1. Subtract two numbers up to four digits 2. Subtract across zeros 3. Subtract two numbers up to four digits: word problems
1-9:  Subtract from Thousands
1. Subtract two numbers up to four digits 2. Subtract across zeros 3. Subtract two numbers up to four digits: word problems
1-10:  Subtraction Undoes Addition		1. Subtract two multi-digit numbers Also consider: • Subtraction: fill in the missing digits
1-10:  Subtraction Undoes Addition
1. Subtract two multi-digit numbers Also consider: • Subtraction: fill in the missing digits
1-11:  Subtract Greater Numbers		1. Subtract numbers up to seven digits 2. Estimate differences 3. Estimate differences: word problems
1-11:  Subtract Greater Numbers
1. Subtract numbers up to seven digits 2. Estimate differences 3. Estimate differences: word problems
1-12:  Practice Addition and Subtraction		1. Two-step addition and subtraction word problems 2. Add and subtract numbers up to six digits
1-12:  Practice Addition and Subtraction
1. Two-step addition and subtraction word problems 2. Add and subtract numbers up to six digits
1-13:  Problem Solving with Greater Numbers		1. Multi-step addition and subtraction word problems 2. Use equations to solve addition and subtraction word problems Also consider: • Addition and subtraction word problems
1-13:  Problem Solving with Greater Numbers
1. Multi-step addition and subtraction word problems 2. Use equations to solve addition and subtraction word problems Also consider: • Addition and subtraction word problems
1-14:  Focus on Mathematical Practices		1. Interpret a table Also consider: • Create bar graphs • Interpret bar graphs
1-14:  Focus on Mathematical Practices
1. Interpret a table Also consider: • Create bar graphs • Interpret bar graphs

2	Unit 2 Multiplication with Whole Numbers
Big Idea 1 - Multiplication with Tens and Hundreds
2-1:  Arrays and Area Models		1. Make arrays to model multiplication Also consider: • Multiply to find the area of a rectangle made of unit squares
2-1:  Arrays and Area Models
1. Make arrays to model multiplication Also consider: • Multiply to find the area of a rectangle made of unit squares
2-2:  Connect Place Value and Multiplication		1. Multiply two multiples of ten Also consider: • Multiply a 1-digit number by a multiple of 10
2-2:  Connect Place Value and Multiplication
1. Multiply two multiples of ten Also consider: • Multiply a 1-digit number by a multiple of 10
2-3:  Mental Math and Multiplication		1. Multiplication patterns: multiples of 10 and 100
2-3:  Mental Math and Multiplication
1. Multiplication patterns: multiples of 10 and 100
Big Idea 2 - Multiply by One-Digit Numbers
2-4:  Model One-Digit by Two-Digit Multiplication		1. Multiply 1-digit numbers by 2-digit numbers using area models 2. Multiply 1-digit numbers by 2-digit numbers: word problems Also consider: • Multiply 1-digit numbers by teen numbers using grids • Multiply 1-digit numbers by 2-digit numbers: choose the area model
2-4:  Model One-Digit by Two-Digit Multiplication
1. Multiply 1-digit numbers by 2-digit numbers using area models 2. Multiply 1-digit numbers by 2-digit numbers: word problems Also consider: • Multiply 1-digit numbers by teen numbers using grids • Multiply 1-digit numbers by 2-digit numbers: choose the area model
2-5:  Estimate Products		1. Estimate products: multiply 1-digit numbers by 2-digit numbers
2-5:  Estimate Products
1. Estimate products: multiply 1-digit numbers by 2-digit numbers
2-6:  Use Place Value to Multiply		1. Multiply 1-digit numbers by 2-digit numbers using partial products
2-6:  Use Place Value to Multiply
1. Multiply 1-digit numbers by 2-digit numbers using partial products
2-7:  Algebraic Notation Method
2-7:  Algebraic Notation Method
2-8:  Compare Methods of One-Digit by Two-Digit Multiplication		1. Multiply 1-digit numbers by 2-digit numbers II
2-8:  Compare Methods of One-Digit by Two-Digit Multiplication
1. Multiply 1-digit numbers by 2-digit numbers II
2-9:  Discuss Different Methods		1. Multiply 1-digit numbers by 2-digit numbers
2-9:  Discuss Different Methods
1. Multiply 1-digit numbers by 2-digit numbers
2-10:  One-Digit by Three-Digit Multiplication		1. Multiply 1-digit numbers by 3-digit numbers using area models II 2. Multiply 1-digit numbers by 3-digit numbers using partial products 3. Multiply 1-digit numbers by 3-digit numbers 4. Multiply money amounts: word problems Also consider: • Multiply 1-digit numbers by 3-digit numbers using area models I
2-10:  One-Digit by Three-Digit Multiplication
1. Multiply 1-digit numbers by 3-digit numbers using area models II 2. Multiply 1-digit numbers by 3-digit numbers using partial products 3. Multiply 1-digit numbers by 3-digit numbers 4. Multiply money amounts: word problems Also consider: • Multiply 1-digit numbers by 3-digit numbers using area models I
2-11:  Multistep Word Problems		1. Word problems with extra or missing information
2-11:  Multistep Word Problems
1. Word problems with extra or missing information
Big Idea 3 - Multiplication with Two-Digit Numbers
2-12:  Two-Digit by Two-Digit Multiplication		1. Multiply 2-digit numbers by 2-digit numbers using area models Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model
2-12:  Two-Digit by Two-Digit Multiplication
1. Multiply 2-digit numbers by 2-digit numbers using area models Also consider: • Multiply 2-digit numbers by 2-digit numbers: choose the area model
2-13:  Different Methods for Two-Digit Multiplication		1. Multiply 2-digit numbers by 2-digit numbers using partial products 2. Multiply a 2-digit number by a 2-digit number Also consider: • Box multiplication
2-13:  Different Methods for Two-Digit Multiplication
1. Multiply 2-digit numbers by 2-digit numbers using partial products 2. Multiply a 2-digit number by a 2-digit number Also consider: • Box multiplication
2-14:  Check Products of Two-Digit Numbers		1. Estimate products: multiply by 2-digit numbers 2. Estimate products: word problems Also consider: • Estimate products word problems: identify reasonable answers
2-14:  Check Products of Two-Digit Numbers
1. Estimate products: multiply by 2-digit numbers 2. Estimate products: word problems Also consider: • Estimate products word problems: identify reasonable answers
2-15:  Practice Multiplication		1. Review: Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: word problems Also consider: • Multiply a 2-digit number by a 2-digit number: complete the missing steps
2-15:  Practice Multiplication
1. Review: Multiply a 2-digit number by a 2-digit number 2. Multiply a 2-digit number by a 2-digit number: word problems Also consider: • Multiply a 2-digit number by a 2-digit number: complete the missing steps
Big Idea 4 - Multiplication with Thousands
2-16:  Multiply One-Digit and Four-Digit Numbers		1. Multiply 1-digit by 4-digit numbers using area models 2. Multiply 1-digit by 4-digit numbers 3. Multiply 1-digit numbers by multi-digit numbers using partial products 4. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
2-16:  Multiply One-Digit and Four-Digit Numbers
1. Multiply 1-digit by 4-digit numbers using area models 2. Multiply 1-digit by 4-digit numbers 3. Multiply 1-digit numbers by multi-digit numbers using partial products 4. Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
2-17:  Use the Shortcut Method		1. Multiply 1-digit numbers by 4-digit numbers 2. Estimate products: multiply by 1-digit numbers
2-17:  Use the Shortcut Method
1. Multiply 1-digit numbers by 4-digit numbers 2. Estimate products: multiply by 1-digit numbers
2-18:  Practice Multiplying		1. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers
2-18:  Practice Multiplying
1. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers
2-19:  Focus on Mathematical Practices		1. Multiplication word problems
2-19:  Focus on Mathematical Practices
1. Multiplication word problems

3	Unit 3 Division with Whole Numbers
Big Idea 1 - Dividing Whole Numbers
3-1:  Divide with Remainders		1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 3. Divide numbers ending in zeros by 1-digit numbers Also consider: • Division patterns over increasing place values
3-1:  Divide with Remainders
1. Divide 2-digit numbers by 1-digit numbers using arrays 2. Divide 2-digit numbers by 1-digit numbers: quotients up to 10 3. Divide numbers ending in zeros by 1-digit numbers Also consider: • Division patterns over increasing place values
3-2:  Relate 3-Digit Multiplication to Division		1. Divide using partial quotients with remainders Also consider: • Divide 3-digit numbers by 1-digit numbers using area models
3-2:  Relate 3-Digit Multiplication to Division
1. Divide using partial quotients with remainders Also consider: • Divide 3-digit numbers by 1-digit numbers using area models
3-3:  Discuss 2-Digit and 4-Digit Quotients		1. Divide larger numbers by 1-digit numbers: complete the table
3-3:  Discuss 2-Digit and 4-Digit Quotients
1. Divide larger numbers by 1-digit numbers: complete the table
3-4:  Digit-by-Digit Method		1. Divide 3-digit and 4-digit numbers by 1-digit numbers
3-4:  Digit-by-Digit Method
1. Divide 3-digit and 4-digit numbers by 1-digit numbers
3-5:  Relate Three Methods
3-5:  Relate Three Methods
3-6:  Divide by Any Method		1. Divide larger numbers by 1-digit numbers: word problems without remainders
3-6:  Divide by Any Method
1. Divide larger numbers by 1-digit numbers: word problems without remainders
Big Idea 2 - Division Issues and Word Problems
3-7:  Just-Under Quotient Digits		1. Divide larger numbers by 1-digit numbers
3-7:  Just-Under Quotient Digits
1. Divide larger numbers by 1-digit numbers
3-8:  Estimate to Check Quotients		1. Estimate quotients using compatible numbers: 1-digit divisors 2. Divide by 1-digit numbers: pick the better estimate Also consider: • Estimate quotients
3-8:  Estimate to Check Quotients
1. Estimate quotients using compatible numbers: 1-digit divisors 2. Divide by 1-digit numbers: pick the better estimate Also consider: • Estimate quotients
3-9:  Make Sense of Remainders		1. One-step word problems involving remainders Also consider: • Divide larger numbers by 1-digit numbers: word problems
3-9:  Make Sense of Remainders
1. One-step word problems involving remainders Also consider: • Divide larger numbers by 1-digit numbers: word problems
3-10:  Mixed Problem Solving		1. Addition, subtraction, multiplication, and division word problems 2. Multi-step word problems
3-10:  Mixed Problem Solving
1. Addition, subtraction, multiplication, and division word problems 2. Multi-step word problems
3-11:  Focus on Mathematical Practices		1. Multi-step word problems involving remainders Also consider: • Multi-step word problems: identify reasonable answers
3-11:  Focus on Mathematical Practices
1. Multi-step word problems involving remainders Also consider: • Multi-step word problems: identify reasonable answers

4	Unit 4 Equations and Word Problems
Big Idea 1 - Reasoning and Solving Problems
4-1:  Properties and Algebraic Notation		1. Evaluate variable expressions 2. Evaluate numerical expressions with parentheses Also consider: • Properties of addition • Properties of multiplication
4-1:  Properties and Algebraic Notation
1. Evaluate variable expressions 2. Evaluate numerical expressions with parentheses Also consider: • Properties of addition • Properties of multiplication
4-2:  Situation and Solution Equations for Addition and Subtraction		1. Solve one-step variable equations: addition and subtraction 2. Addition and subtraction word problems
4-2:  Situation and Solution Equations for Addition and Subtraction
1. Solve one-step variable equations: addition and subtraction 2. Addition and subtraction word problems
4-3:  Situation and Solution Equations for Multiplication and Division		1. Write variable equations to represent word problems: multiplication and division 2. Multiplication and division word problems Also consider: • Write equations to represent word problems
4-3:  Situation and Solution Equations for Multiplication and Division
1. Write variable equations to represent word problems: multiplication and division 2. Multiplication and division word problems Also consider: • Write equations to represent word problems
Big Idea 2 - Comparison Word Problems
4-4:  Multiplication Comparisons		1. Compare numbers using multiplication: word problems Also consider: • Compare numbers using multiplication
4-4:  Multiplication Comparisons
1. Compare numbers using multiplication: word problems Also consider: • Compare numbers using multiplication
4-5:  Discuss Comparison Problems		1. Comparison word problems with addition and subtraction 2. Comparison word problems: addition or multiplication?
4-5:  Discuss Comparison Problems
1. Comparison word problems with addition and subtraction 2. Comparison word problems: addition or multiplication?
4-6:  Graphs and Comparison Problems		1. Interpret picture graphs: comparisons 2. Interpret bar graphs: one-step problems
4-6:  Graphs and Comparison Problems
1. Interpret picture graphs: comparisons 2. Interpret bar graphs: one-step problems
Big Idea 3 - Problems with More Than One Step
4-7:  Solve Two-Step Problems		1. Two-step mixed operation word problems
4-7:  Solve Two-Step Problems
1. Two-step mixed operation word problems
4-8:  Solve Multistep Problems		1. Multi-step word problems I Also consider: • Multi-step word problems with strip diagrams
4-8:  Solve Multistep Problems
1. Multi-step word problems I Also consider: • Multi-step word problems with strip diagrams
4-9:  Practice with Multistep Problems		1. Multi-step word problems II
4-9:  Practice with Multistep Problems
1. Multi-step word problems II
Big Idea 4 - Analyzing Patterns
4-10:  Factors and Prime Numbers		1. Find all the factor pairs of a number 2. Prime and composite: up to 100 3. Choose the multiples of a given number up to 10 4. Identify factors
4-10:  Factors and Prime Numbers
1. Find all the factor pairs of a number 2. Prime and composite: up to 100 3. Choose the multiples of a given number up to 10 4. Identify factors
4-11:  Analyze Patterns		1. Use a rule to complete a number pattern 2. Extend growing shape patterns Also consider: • What is true about the given pattern? • What is true about the pattern made by the rule?
4-11:  Analyze Patterns
1. Use a rule to complete a number pattern 2. Extend growing shape patterns Also consider: • What is true about the given pattern? • What is true about the pattern made by the rule?
4-12:  Focus on Mathematical Practices		1. Complete a repeating pattern 2. Multi-step word problems III Also consider: • Number patterns: word problems
4-12:  Focus on Mathematical Practices
1. Complete a repeating pattern 2. Multi-step word problems III Also consider: • Number patterns: word problems

5	Unit 5 Measurement
Big Idea 1 - Converting Measurements
5-1:  Measure Length		1. Convert metric units of length 2. Conversion tables: metric units of length Also consider: • Compare metric units of length
5-1:  Measure Length
1. Convert metric units of length 2. Conversion tables: metric units of length Also consider: • Compare metric units of length
5-2:  Metric Measures of Liquid Volume and Mass		1. Conversion tables: metric units of mass and volume Also consider: • Which metric unit is appropriate? • Convert and compare metric units
5-2:  Metric Measures of Liquid Volume and Mass
1. Conversion tables: metric units of mass and volume Also consider: • Which metric unit is appropriate? • Convert and compare metric units
5-3:  Units of Time		1. Convert units of time 2. Elapsed time 3. Elapsed time: word problems 4. Find end times: word problems Also consider: • Compare units of time • Find start and end times: multi-step word problems
5-3:  Units of Time
1. Convert units of time 2. Elapsed time 3. Elapsed time: word problems 4. Find end times: word problems Also consider: • Compare units of time • Find start and end times: multi-step word problems
5-4:  Customary Measures of Length		1. Conversion tables: customary units of length 2. Convert customary units of length 3. Measure using an inch ruler
5-4:  Customary Measures of Length
1. Conversion tables: customary units of length 2. Convert customary units of length 3. Measure using an inch ruler
5-5:  Customary Measures of Weight and Liquid Volume		1. Convert customary units of weight 2. Convert customary units of volume 3. Customary conversion tables
5-5:  Customary Measures of Weight and Liquid Volume
1. Convert customary units of weight 2. Convert customary units of volume 3. Customary conversion tables
Big Idea 2 - Perimeter and Area
5-6:  Perimeter and Area of Rectangles		1. Find the perimeter of rectangles using formulas 2. Find the area of rectangles using formulas 3. Find the missing side length of a rectangle Also consider: • Relationship between area and perimeter
5-6:  Perimeter and Area of Rectangles
1. Find the perimeter of rectangles using formulas 2. Find the area of rectangles using formulas 3. Find the missing side length of a rectangle Also consider: • Relationship between area and perimeter
5-7:  Solve Measurement Problems		1. Measurement word problems 2. Perimeter: word problems 3. Area: word problems
5-7:  Solve Measurement Problems
1. Measurement word problems 2. Perimeter: word problems 3. Area: word problems
5-8:  Focus on Mathematical Practices		1. Area and perimeter: word problems 2. Compare area and perimeter of rectangles and squares Also consider: • Use area and perimeter to determine cost • Rectangles: relationship between perimeter and area word problems
5-8:  Focus on Mathematical Practices
1. Area and perimeter: word problems 2. Compare area and perimeter of rectangles and squares Also consider: • Use area and perimeter to determine cost • Rectangles: relationship between perimeter and area word problems

6	Unit 6 Fraction Concepts and Operations
Big Idea 1 - Fractions with Like Denominators
6-1:  Understand Fractions		1. Decompose fractions into unit fractions using models 2. Multiples of unit fractions 3. Fractions of a whole: word problems Also consider: • Write a fraction as a sum of unit fractions
6-1:  Understand Fractions
1. Decompose fractions into unit fractions using models 2. Multiples of unit fractions 3. Fractions of a whole: word problems Also consider: • Write a fraction as a sum of unit fractions
6-2:  Fractions That Add to One		1. Compare unit fractions
6-2:  Fractions That Add to One
1. Compare unit fractions
6-3:  Add and Subtract Fractions with Like Denominators		1. Add fractions with like denominators using strip models 2. Subtract fractions with like denominators using strip models 3. Add and subtract fractions with like denominators 4. Add and subtract fractions with like denominators: word problems Also consider: • Add fractions with like denominators • Subtract fractions with like denominators
6-3:  Add and Subtract Fractions with Like Denominators
1. Add fractions with like denominators using strip models 2. Subtract fractions with like denominators using strip models 3. Add and subtract fractions with like denominators 4. Add and subtract fractions with like denominators: word problems Also consider: • Add fractions with like denominators • Subtract fractions with like denominators
Big Idea 2 - Mixed Numbers with Like Denominators
6-4:  Mixed Numbers and Fractions Greater Than 1		1. Convert between improper fractions and mixed numbers
6-4:  Mixed Numbers and Fractions Greater Than 1
1. Convert between improper fractions and mixed numbers
6-5:  Add and Subtract Mixed Numbers with Like Denominators		1. Add mixed numbers 2. Subtract mixed numbers without regrouping
6-5:  Add and Subtract Mixed Numbers with Like Denominators
1. Add mixed numbers 2. Subtract mixed numbers without regrouping
6-6:  Practice with Fractions and Mixed Numbers		1. Add and subtract mixed numbers with like denominators 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes
6-6:  Practice with Fractions and Mixed Numbers
1. Add and subtract mixed numbers with like denominators 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract fractions with like denominators in recipes
Big Idea 3 - Multiply Fractions and Whole Numbers
6-7:  Multiply a Fraction by a Whole Number		1. Multiply unit fractions by whole numbers using models 2. Multiples of unit fractions: find the missing numbers 3. Multiply fractions by whole numbers using models 4. Multiply fractions by whole numbers using models: complete the equation Also consider: • Multiply unit fractions by whole numbers using number lines • Multiply fractions by whole numbers using number lines
6-7:  Multiply a Fraction by a Whole Number
1. Multiply unit fractions by whole numbers using models 2. Multiples of unit fractions: find the missing numbers 3. Multiply fractions by whole numbers using models 4. Multiply fractions by whole numbers using models: complete the equation Also consider: • Multiply unit fractions by whole numbers using number lines • Multiply fractions by whole numbers using number lines
6-8:  Practice Multiplying a Fraction by a Whole Number		1. Multiply unit fractions by whole numbers 2. Multiply fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers: word problems • Multiples of fractions: find the missing numbers • Multiply fractions by whole numbers: word problems
6-8:  Practice Multiplying a Fraction by a Whole Number
1. Multiply unit fractions by whole numbers 2. Multiply fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers: word problems • Multiples of fractions: find the missing numbers • Multiply fractions by whole numbers: word problems
6-9:  Mixed Practice		1. Decompose fractions multiple ways 2. Add, subtract, and multiply fractions 3. Add, subtract, and multiply fractions: word problems
6-9:  Mixed Practice
1. Decompose fractions multiple ways 2. Add, subtract, and multiply fractions 3. Add, subtract, and multiply fractions: word problems
6-10:  Focus on Mathematical Practices
6-10:  Focus on Mathematical Practices

7	Unit 7 Fractions and Decimals
Big Idea 1 - Comparing Fractions
7-1:  Compare Fractions		1. Compare fractions with like numerators or denominators using models 2. Compare fractions with like numerators or denominators 3. Order fractions with like numerators or denominators
7-1:  Compare Fractions
1. Compare fractions with like numerators or denominators using models 2. Compare fractions with like numerators or denominators 3. Order fractions with like numerators or denominators
7-2:  Fractions on the Number Line		1. Graph and compare fractions with like numerators or denominators on number lines 2. Compare fractions using benchmarks 3. Compare fractions in recipes Also consider: • Benchmark fractions • Graph and order fractions on number lines
7-2:  Fractions on the Number Line
1. Graph and compare fractions with like numerators or denominators on number lines 2. Compare fractions using benchmarks 3. Compare fractions in recipes Also consider: • Benchmark fractions • Graph and order fractions on number lines
7-3:  Fractions of Different Size Wholes
7-3:  Fractions of Different Size Wholes
Big Idea 2 - Equivalent Fractions
7-4:  Equivalent Fractions Using Multiplication		1. Find equivalent fractions using area models 2. Are the fractions equivalent? Also consider: • Graph equivalent fractions on number lines • Identify equivalent fractions • Fractions with denominators of 10 and 100 • Equivalent fractions: word problems
7-4:  Equivalent Fractions Using Multiplication
1. Find equivalent fractions using area models 2. Are the fractions equivalent? Also consider: • Graph equivalent fractions on number lines • Identify equivalent fractions • Fractions with denominators of 10 and 100 • Equivalent fractions: word problems
7-5:  Equivalent Fractions Using Division		1. Patterns of equivalent fractions 2. Write fractions in lowest terms Also consider: • Equivalent fractions: find the missing numerator or denominator
7-5:  Equivalent Fractions Using Division
1. Patterns of equivalent fractions 2. Write fractions in lowest terms Also consider: • Equivalent fractions: find the missing numerator or denominator
7-6:  Compare Fractions With Unlike Denominators		1. Compare fractions using models 2. Compare fractions 3. Add fractions: denominators 10 and 100 Also consider: • Compare fractions using benchmarks: find the missing numerator • Compare fractions: find the missing numerator or denominator
7-6:  Compare Fractions With Unlike Denominators
1. Compare fractions using models 2. Compare fractions 3. Add fractions: denominators 10 and 100 Also consider: • Compare fractions using benchmarks: find the missing numerator • Compare fractions: find the missing numerator or denominator
7-7:  Fractions and Line Plots		1. Create and interpret line plots with fractions
7-7:  Fractions and Line Plots
1. Create and interpret line plots with fractions
Big Idea 3 - Understanding Decimals
7-8:  Relate Fractions and Decimals		1. What decimal number is illustrated? 2. Model decimals and fractions
7-8:  Relate Fractions and Decimals
1. What decimal number is illustrated? 2. Model decimals and fractions
7-9:  Explore Decimal Numbers		1. Convert fractions to decimals: denominators of 10 and 100 2. Graph decimals on number lines Also consider: • Graph fractions as decimals on number lines
7-9:  Explore Decimal Numbers
1. Convert fractions to decimals: denominators of 10 and 100 2. Graph decimals on number lines Also consider: • Graph fractions as decimals on number lines
7-10:  Compare Decimals to Hundredths		1. Word names for decimal numbers
7-10:  Compare Decimals to Hundredths
1. Word names for decimal numbers
7-11:  Decimals Greater Than 1		1. Convert mixed numbers to decimals: denominators of 10 and 100 2. Convert decimals to fractions and mixed numbers 3. Understanding decimals expressed in words 4. Expanded form for decimals Also consider: • Place values in decimal numbers • Relate decimals and money
7-11:  Decimals Greater Than 1
1. Convert mixed numbers to decimals: denominators of 10 and 100 2. Convert decimals to fractions and mixed numbers 3. Understanding decimals expressed in words 4. Expanded form for decimals Also consider: • Place values in decimal numbers • Relate decimals and money
7-12:  Compare Decimals Greater Than 1		1. Equivalent decimals 2. Compare decimal numbers Also consider: • Compare decimals using models • Compare decimals on number lines • Put decimal numbers in order II
7-12:  Compare Decimals Greater Than 1
1. Equivalent decimals 2. Compare decimal numbers Also consider: • Compare decimals using models • Compare decimals on number lines • Put decimal numbers in order II
7-13:  Focus on Mathematical Practices		1. Compare decimals and fractions on number lines 2. Compare decimals and fractions
7-13:  Focus on Mathematical Practices
1. Compare decimals and fractions on number lines 2. Compare decimals and fractions

8	Unit 8 Geometry
Big Idea 1 - Measuring and Drawing Angles
8-1:  Points, Rays, and Angles		1. Points, lines, line segments, rays, and angles 2. Acute, right, and obtuse angles
8-1:  Points, Rays, and Angles
1. Points, lines, line segments, rays, and angles 2. Acute, right, and obtuse angles
8-2:  Measuring Angles		1. Measure angles with a protractor 2. Draw angles with a protractor Also consider: • Angles of 90, 180, 270, and 360 degrees • Estimate angle measurements
8-2:  Measuring Angles
1. Measure angles with a protractor 2. Draw angles with a protractor Also consider: • Angles of 90, 180, 270, and 360 degrees • Estimate angle measurements
8-3:  Circles and Angles		1. Measure angles on a circle Also consider: • Angles as fractions of a circle • Use fractions to find the measure of an angle
8-3:  Circles and Angles
1. Measure angles on a circle Also consider: • Angles as fractions of a circle • Use fractions to find the measure of an angle
Big Idea 2 - Triangles and Angle Measurements
8-4:  Name Triangles		1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles
8-4:  Name Triangles
1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles
8-5:  Compose and Decompose Angles		1. Adjacent angles 2. Angle measures: word problems Also consider: • Complementary and supplementary angles: find the missing measure
8-5:  Compose and Decompose Angles
1. Adjacent angles 2. Angle measures: word problems Also consider: • Complementary and supplementary angles: find the missing measure
8-6:  Real World Problems
8-6:  Real World Problems
Big Idea 3 - Analyzing Quadrilaterals
8-7:  Parallel and Perpendicular Lines and Segments		1. Identify parallel lines 2. Identify perpendicular lines Also consider: • Identify parallel, perpendicular, and intersecting lines
8-7:  Parallel and Perpendicular Lines and Segments
1. Identify parallel lines 2. Identify perpendicular lines Also consider: • Identify parallel, perpendicular, and intersecting lines
8-8:  Classify Quadrilaterals		1. Classify quadrilaterals 2. Draw quadrilaterals 3. Pick all the names for a quadrilateral 4. Describe relationships among quadrilaterals Also consider: • Parallel sides in quadrilaterals • Identify parallelograms • Identify trapezoids • Identify rectangles • Identify rhombuses
8-8:  Classify Quadrilaterals
1. Classify quadrilaterals 2. Draw quadrilaterals 3. Pick all the names for a quadrilateral 4. Describe relationships among quadrilaterals Also consider: • Parallel sides in quadrilaterals • Identify parallelograms • Identify trapezoids • Identify rectangles • Identify rhombuses
8-9:  Decompose Quadrilaterals and Triangles
8-9:  Decompose Quadrilaterals and Triangles
Big Idea 4 - Analyzing Polygons
8-10:  Classify Polygons
8-10:  Classify Polygons
8-11:  Line Symmetry		1. Identify lines of symmetry 2. Line symmetry 3. Draw lines of symmetry
8-11:  Line Symmetry
1. Identify lines of symmetry 2. Line symmetry 3. Draw lines of symmetry
8-12:  Focus on Mathematical Practices		1. Count lines of symmetry
8-12:  Focus on Mathematical Practices
1. Count lines of symmetry

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