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Unit 1: Addition and Subtraction with Fractions |
Big Idea 1 – Equivalent Fractions |
1-1: Introduce the MathBoard |
1-2: Explain Equivalent Fractions |
1-3: Equivalent Fractions and Multipliers |
1-4: Strategies for Comparing Fractions |
1-5: Fractions Greater Than One |
Big Idea 2 – Addition and Subtraction of Fractions |
1-6: Add and Subtract Like Mixed Numbers |
1-7: Add Unlike Fractions |
1-8: Subtract Unlike Fractions |
1-9: Solve with Unlike Mixed Numbers |
1-10: Practice with Unlike Mixed Numbers |
1-11: Reasonable Answers |
1-12: Real World Problems |
1-13: Focus on Mathematical Practices |
Unit 2: Addition and Subtraction with Decimals |
Big Idea 1 – Read and Write Whole Numbers and Decimals |
2-1: Decimals as Equal Divisions |
2-2: Thousands to Thousandths |
2-3: Equate and Compare Thousandths |
Big Idea 2 – Addition and Subtraction |
2-4: Adding and Subtracting Decimals |
2-5: Add Whole Numbers and Decimals |
2-6: Subtract Whole Numbers and Decimals |
2-7: Properties and Strategies |
Big Idea 3 – Round and Estimate with Decimals |
2-8: Round and Estimate with Decimals |
2-9: Graph with Decimal Numbers |
2-10: Focus on Mathematical Practices |
Unit 3: Multiplication and Division with Fractions |
Big Idea 1 – Multiplication with Fractions |
3-1: Basic Multiplication Concepts |
3-2: Multiplication with Non-Unit Fractions |
3-3: Multiplication with Fractional Solutions |
3-4: Multiply a Fraction by a Fraction |
3-5: Multiplication Strategies |
3-6: Multiply Mixed Numbers |
Big Idea 2 – Multiplication Links |
3-7: Relate Fraction Operations |
3-8: Solve Real World Problems |
3-9: Make Generalizations |
Big Idea 3 – Division with Fractions |
3-10: When Dividing is Also Multiplying |
3-11: Solve Division Problems |
3-12: Distinguish Multiplication from Division |
3-13: Review Operations with Fractions |
3-14: Focus on Mathematical Practices |
Unit 4: Multiplication with Whole Numbers and Decimals |
Big Idea 1 – Multiplication with Whole Numbers |
4-1: Shift Patterns in Multiplication |
4-2: Patterns with Fives and Zeros |
4-3: Sharing Methods for Multiplication |
4-4: Multiply Two-Digit Numbers |
4-5: Practice Multiplication |
Big Idea 2 – Multiplication with Decimal Numbers |
4-6: Multiply Decimals by Whole Numbers |
4-7: Multiply by Decimals |
4-8: Multiply with Decimals Greater than 1 |
4-9: Compare Shift Patterns |
4-10: Estimate Products |
4-11: Multiplication Practice |
4-12: Focus on Mathematical Practices |
Unit 5: Division with Whole Numbers and Decimals |
Big Idea 1 – Division with Whole Numbers |
5-1: Divide Whole Numbers by One Digit |
5-2: Explore Dividing by Two-Digit Whole Numbers |
5-3: Too Large, Too Small, or Just Right? |
5-4: Interpret Remainders |
5-5: Division Practice |
Big Idea 2 – Division with Decimal Numbers |
5-6: Divide Decimal Numbers by Whole Numbers |
5-7: Divide Whole Numbers by Decimal Numbers |
5-8: Divide with Two Decimal Numbers |
5-9: Division Practice |
5-10: Distinguish Between Multiplication and Division |
5-11: Focus on Mathematical Practices |
Unit 6: Operations and Word Problems |
Big Idea 1 – Equations and Problem Solving |
6-1: Situation and Solution Equations for Addition and Subtraction |
6-2: Situation and Solution Equations for Multiplication and Division |
6-3: Write Word Problems |
6-4: Determine Reasonable Answers |
Big Idea 2 – Comparison Word Problems |
6-5: Language of Comparison Problems |
6-6: Multiplicative Comparison Problems |
6-7: Types of Comparison Problems |
Big Idea 3 – Problems with More Than One Step |
6-8: Equations and Parentheses |
6-9: Multistep Word Problems |
6-10: Practice Problem Solving |
6-11: Focus on Mathematical Practices |
Unit 7: Algebra, Patterns, and Coordinate Graphs |
Big Idea 1 – Algebraic Reasoning and Expressions |
7-1: Read and Write Expressions |
7-2: Simplify Expressions |
7-3: Evaluate Expressions |
Big Idea 2 – Patterns and Graphs |
7-4: Patterns and Relationships |
7-5: The Coordinate Plane |
7-6: Graph Ordered Pairs |
7-7: Focus on Mathematical Practices |
Unit 8: Measurement and Geometry |
Big Idea 1 – Measurements and Data |
8-1: Convert Metric Units of Length |
8-2: Metric Units of Liquid Volume |
8-3: Metric Units of Mass |
8-4: Customary Units of Length |
8-5: Customary Measures of Liquid Volume |
8-6: Customary Units of Weight |
8-7: Read and Make Line Plots |
Big Idea 2 – Area and Volume |
8-8: Perimeter and Area of Rectangles |
8-9: Cubic Units and Volume |
8-10: Visualize Volume |
8-11: Introduce Volume Formulas |
8-12: Relate Length, Area, and Volume |
8-13: Volume of Composite Solid Figures |
Big Idea 3 – Classify Geometric Figures |
8-14: Attributes of Quadrilaterals |
8-15: Attributes of Triangles |
8-16: Attributes of Two-Dimensional Shapes |
8-17: Focus on Mathematical Practices |