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Topic 1: Multiplication and Division: Meaning and Facts |
1 – 1: Meanings of Multiplication |
1 – 2: Patterns for Facts |
1 – 3: Multiplication Properties |
1 – 5: Look for a Pattern |
1 – 6: Meanings of Division |
1 – 7: Relating Multiplication and Division |
1 – 8: Special Quotients |
1 – 9: Using Multiplication Facts to Find Division Facts |
1 – 10: Draw a Picture and Write an Equation |
Topic 2: Generate and Analyze Patterns |
2 – 1: Repeating Patterns |
2 – 2: Number Sequences |
2 – 3: Extending Tables |
2 – 4: Writing Rules for Situations |
2 – 5: Geometric Patterns |
2 – 6: Act It Out and Use Reasoning |
Topic 3: Place Value |
3 – 1: Representing Numbers |
3 – 2: Place Value Relationships |
3 – 3: Comparing Numbers |
3 – 4: Ordering Numbers |
3 – 5: Rounding Whole Numbers |
3 – 6: Make an Organized List |
Topic 4: Addition and Subtraction of Whole Numbers |
4 – 1: Using Mental Math to Add and Subtract |
4 – 2: Estimating Sums and Differences of Whole Numbers |
4 – 3: Adding Whole Numbers |
4 – 4: Subtracting Whole Numbers |
4 – 5: Subtracting Across Zeros |
4 – 6: Draw a Picture and Write an Equation |
Topic 5: Number Sense: Multiplying by 1-Digit Numbers |
5 – 1: Arrays and Multiplying by 10 and 100 |
5 – 2: Multiplying by Multiples of 10 and 100 |
5 – 3: Breaking Apart to Multiply |
5 – 4: Using Mental Math to Multiply |
5 – 5: Using Rounding to Estimate |
5 – 6: Reasonableness |
Topic 6: Developing Fluency: Multiplying by 1-Digit Numbers |
6 – 1: Arrays and Using an Expanded Algorithm |
6 – 2: Connecting the Expanded and Standard Algorithms |
6 – 3: Multiplying 2-Digit by 1-Digit Numbers |
6 – 4: Multiplying 3- and 4-Digit Numbers by 1-Digit Numbers |
6 – 5: Multiplying by 1-Digit Numbers |
6 – 6: Missing or Extra Information |
Topic 7: Number Sense: Multiplying by 2-Digit Numbers |
7 – 1: Arrays and Multiplying 2-Digit Numbers by Multiples of 10 |
7 – 2: Using Mental Math to Multiply 2-Digit Numbers |
7 – 3: Using Rounding to Estimate |
7 – 4: Using Compatible Numbers to Estimate |
7 – 5: Multiple-Step Problems |
Topic 8: Developing Fluency: Multiplying by 2-Digit Numbers |
8 – 1: Arrays and Multiplying 2-Digit Numbers |
8 – 2: Arrays and an Expanded Algorithm |
8 – 3: Multiplying 2-Digit Numbers by Multiples of 10 |
8 – 4: Multiplying 2-Digit by 2-Digit Numbers |
8 – 5: Two-Question Problems |
Topic 9: Number Sense: Dividing by 1-Digit Divisors |
9 – 1: Using Mental Math to Divide |
9 – 2: Estimating Quotients |
9 – 3: Estimating Quotients for Greater Dividends |
9 – 4: Dividing with Remainders |
9 – 5: Multiplication and Division Stories |
9 – 6: Draw a Picture and Write an Equation |
Topic 10: Developing Fluency: Dividing by 1-Digit Divisors |
10 – 1: Using Objects to Divide: Division as Repeated Subtraction |
10 – 2: Division as Repeated Subtraction |
10 – 3: Using Objects to Divide: Division as Sharing |
10 – 4: Dividing 2-Digit by 1-Digit Numbers |
10 – 5: Dividing 3-Digit by 1-Digit Numbers |
10 – 6: Deciding Where to Start Dividing |
10 – 7: Dividing 4-Digit Numbers by 1-Digit Numbers |
10 – 8: Multiple-Step Problems |
Topic 11: Fraction Equivalence and Ordering |
11 – 1: Factors |
11 – 2: Prime and Composite Factors |
11 – 3: Multiples |
11 – 4: Equivalent Fractions |
11 – 5: Number Lines and Equivalent Fractions |
11 – 6: Comparing Fractions |
11 – 7: Ordering Fractions |
11 – 8: Writing to Explain |
Topic 12: Adding and Subtracting Fractions and Mixed Numbers with Like Denominators |
12 – 1: Modeling Addition of Fractions |
12 – 2: Adding Fractions with Like Denominators |
12 – 3: Modeling Subtraction of Fractions |
12 – 4: Subtraction Fractions with Like Denominators |
12 – 5: Adding and Subtraction on the Number Line |
12 – 6: Improper Fractions and Mixed Numbers |
12 – 7: Modeling Addition and Subtraction of Mixed Numbers |
12 – 8: Addition of Mixed Numbers |
12 – 9: Subtraction of Mixed Numbers |
12 – 10: Decomposing and Composing Fractions |
12 – 11: Draw a Picture and Write an Equation |
Topic 13: Extending Fraction Concepts |
13 – 1: Fractions as Multiple of Unit Fractions: Using Models |
13 – 2: Multiplying a Fraction by a Whole Number: Using Models |
13 – 3: Multiplying a Fraction by a Whole Number: Using Symbols |
13 – 4: Fractions and Decimals |
13 – 5: Fractions and Decimals on a Number Line |
13 – 6: Equivalent Fractions and Decimals |
13 – 7: Decimal Place Value |
13 – 8: Comparing and Ordering Decimals |
13 – 9: Using Money to Understand Decimals |
13 – 10: Draw a Picture |
Topic 14: Measurement Units and Conversions |
14 – 1: Using Customary Units of Length |
14 – 2: Customary Units of Capacity |
14 – 3: Units of Weight |
14 – 4: Changing Customary Units |
14 – 5: Writing to Explain |
14 – 6: Using Metric Units of Length |
14 – 7: Metric Units of Capacity |
14 – 8: Units of Mass |
14 – 9: Changing Metric Units |
14 – 10: Units of Time |
14 – 11: Work Backward |
Topic 15: Solving Measurement Problems |
15 – 1: Solving Perimeter and Area Problems |
15 – 2: Solving Measurement Problems |
15 – 3: Solving Problems Involving Money |
15 – 4: Solving Problems Involving Line Plots |
15 – 5: Solve a Simpler Problem and Make a Table |
Topic 16 Lines, Angles and Shapes |
16 – 1: Points, Lines and Planes |
16 – 2: Line Segments, Rays, and Angles |
16 – 3: Understanding Angles and Unit Angles |
16 – 4: Measuring with Unit Angles |
16 – 5: Measuring Angles |
16 – 6: Adding and Subtracting Angle Measures |
16 – 7: Polygons |
16 – 8: Triangles |
16 – 9: Quadrilaterals |
16 – 10: Line Symmetry |
16 – 11: Make and Test Generalizations |