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Unit 1: Rates, Ratios, and Proportions |
Big Idea 1 – Multiplication and Rates |
1-1: Factor Puzzles and the Multiplication Table |
1-2: Solving Factor Puzzles |
1-3: Rate Situations and Rate Tables |
1-4: Rate Situations and Unit Rate Language |
1-5: Unit Rates, Products, and Rate Tables |
Big Idea 2 – Special Rate Situations and Graphing |
1-6: Unit Pricing |
1-7: Constant Speed |
Big Idea 3 – Solve Problems with Ratio and Proportion |
1-8: Ratio as Linked Rates |
1-9: Finding Linked Values in Ratio Tables |
1-10: Seeing Proportions in Ratio Tables |
1-11: Identify and Solve Proportion Situations |
Big Idea 4 – Identify, Solve, and Write Proportion Situations |
1-12: Solve Numeric Proportion Problems |
1-13: Basic Ratio Solution Strategies |
1-14: Write and Solve Proportion Problems |
1-15: Focus on Mathematical Practices |
Unit 2: Area of Polygons |
Big Idea 1 – Derive Area Formulas and Solve Problems: Parallelograms and Triangles |
2-1: Units of Area |
2-2: Area of Any Right Triangle |
2-3: Area of Any Parallelogram |
2-4: Area of Any Triangle |
2-5: Select the Needed Measurements |
Big Idea 2 – Derive Area Formulas and Solve Problems: Trapezoids and Other Polygons |
2-6: Area of Any Trapezoid |
2-7: Area of a Complex Figure |
2-8: Area of Any Regular Polygon |
2-9: Graph Polygons in the Coordinate Plane |
2-10: Focus on Mathematical Practices |
Unit 3: Operations with Whole Numbers, Fractions, and Decimals |
Big Idea 1 – Multiplication and Division of Whole Numbers and Decimals |
3-1: Place Value and Whole Number Division |
3-2: Estimated Multipliers in Division |
3-3: Multiplying by a Decimal |
3-4: Decimal Divisors |
3-5: Multiplication or Division |
Big Idea 2 – Relating, Composing, and Decomposing Decimals and Fractions |
3-6: Comparing, Adding and Subtracting with the Same Unit |
3-7: Equivalent Fractions or Decimals |
3-8: Finding a Common Unit Fraction |
3-9: Mixed Problem Solving |
Big Idea 3 – Multiplying Fractions and Dividing with Fractions and Whole Numbers |
3-10: Multiplying with Fractions |
3-11: Dividing with Fractions and Whole Numbers |
3-12: Is it Multiplying or Dividing |
Big Idea 4 – Dividing a Fraction by a Fraction |
3-13: Dividing Numerators and Denominators |
3-14: Dividing by Unsimplifying |
3-15: Dividing by Multiplying by the Reciprocal |
3-16: Is it Multiplying or Dividing? |
3-17: Mixed Practice with Decimals and Fractions |
3-18: Focus on Math Practices |
Unit 4: Surface Area of Prisms and Pyramids |
Big Idea 1 – Nets and Surface Area of Prisms |
4-1: Nets and Surface Area for Rectangular Prisms |
4-2: Nets and Surface Area for Nonrectangular Prisms |
4-3: Surface Area of Prisms |
Big Idea 2 – Nets and Surface Area of Pyramids |
4-4: Nets for Pyramids |
4-5: Surface Area of Pyramids |
4-6: Focus on Mathematical Practices |
Unit 5: Expressions and Equations |
Big Idea 1 – Writing, Interpreting, and Analyzing Expressions |
5-1: Expressions and Order of Operations |
5-2: Expressions with Exponents |
5-3: Interpreting and Analyzing Expressions |
5-4: Modeling and Simplifying Expressions |
5-5: Expressions for Area and Surface Area |
Big Idea 2 – Equivalent Expressions |
5-6: Equivalent Expressions |
5-7: The Commutative and Associative Properties |
5-8: The Distributive Property |
5-9: Practice with Expressions |
Big Idea 3 – Representing and Describing Quantitative Relationships |
5-10: Relating Two Quantities |
5-11: Motion at a Constant Speed |
5-12: Relating Equations, Tables, and Graphs |
5-13: Writing Equations |
Big Idea 4 – Solving Equations and Inequalities |
5-14: Inequalities |
5-15: Solutions of Equations and Inequalities |
5-16: Addition and Subtraction Equations |
5-17: Multiplication and Division Equations |
5-18: Focus on Mathematical Practices |
Unit 6: Volume of a Rectangular Prism |
Big Idea 1 – Volume Formulas for Rectangular Prisms |
6-1: What is Volume? |
6-2: Fractional Unit Cubes |
6-3: Compose Rectangular Prisms with Fractional Edge Lengths |
6-4: Volume of Prisms with Fractional Edge Lengths |
6-5: Write and Solve Equations about Volume |
6-6: Focus on Mathematical Practices |
Unit 7: Ratios and Rates with Fractions, Decimals, and Percents |
Big Idea 1 – Ratios, Fractions, Unit Rates, and Cross-Multiplying |
7-1: Comparing Ratios |
7-2: Unit Rates |
7-3: Ratios, Fractions, and Fraction Notation |
7-4: Understanding Cross-Multiplication |
Big Idea 2 – Ratios with Tape Diagrams and Equations |
7-5: Describing Ratios with Tape Diagrams |
7-6: Ratios and Multiplicative Comparisons |
7-7: Solve Ratio and Rate Problems |
Big Idea 3 – Percent |
7-8: The Meaning of Percent |
7-9: Percent of a Number |
7-10: Percent Calculations |
7-11: Solve Percent Problems |
Big Idea 4 – Relate Different Measurement Units |
7-12: Convert Units of Length |
7-13: Convert Units of Liquid Volume, Mass, and Weight |
7-14: Focus on Mathematical Practices |
Unit 8: Analyzing Statistics |
Big Idea 1 – Displaying Data |
8-1: Making Sense of Data |
8-2: Dot Plots and Histograms |
Big Idea 2 – Summarizing Data: the Mean, the Median |
8-3: Making Data Groups Equal |
8-4: Use the Mean |
8-5: The Mean as a Balance Point |
8-6: Find and Use the Median |
Big Idea 3 – Describing Variability in Data |
8-7: Variability in Data |
8-8: Box Plots |
8-9: Mean Absolute Deviation |
8-10: Cluster, Peaks, Gaps, and Outliers |
8-11: Collect, Display, and Interpret Data |
8-12: Focus on Mathematical Practices |
Unit 9: Rational Numbers and the Coordinate Plane |
Rational Numbers and the Coordinate Plane |
Big Idea 1 – Discuss, Compare, and Graph Integers |
9-1: Negative Numbers in the Real World |
9-2: Integers on a Number Line |
9-3: Compare and Order Integers |
9-4: Integers and the Coordinate Plane |
Big Idea 2 – Discuss, Compare, and Graph Rational Numbers |
9-5: Rational Numbers on a Number Line |
9-6: Compare and Order Rational Numbers |
9-7: Rational Numbers and the Coordinate Plane |
9-8: Focus on Mathematical Practices |