Unit 1 – Fractions
- The meaning of fractions
- Equivalent Fractions including reducing
- Converting between mixed numbers and improper fractions
- Adding, Subtracting, Multiplying and Dividing fractions
- Adding, Subtracting, Multiplying and Dividing mixed numbers
- Word problems
- Find the fractional part of a number
- Finding fractions on the number line
- Comparing fractions
Unit 2 – Ratios and Proportional Relationships
- Ratios
- Unit Rate
- Equivalent Ratios and Tables
- Comparing Ratios
- Proportions
- Percent and Rates Per 100
- A Fraction as a Percent
- Ratio and Measurement Units
Unit 3 – Operations of Decimals
- Dividing Multi-Digit Numbers
- Decimal Place Value
- Comparing Decimals
- Finding decimals on the number line
- Add and Subtract Multi-Digit Decimals
- Multiply and Divide Multi-Digit Decimals
- Prime and Composite Numbers
- Least Common Multiple and Greatest Common Factor
- The Distributive Property and the Products of Decimals
Unit 4 – Rational Numbers
- Positive and Negative Numbers
- Operations on Positive and Negative Numbers
- Rational Numbers
- Writing and Interpreting Inequalities in Rational Numbers
- Absolute Value of Rational Numbers
- Rational Numbers and the Coordinate Plane
- Symmetry in the Coordinate Plane
- Distance on the Coordinate Plane
- Basic fraction/decimal/percent equivalents and conversions
Unit 5 – Expressions and Equations
- The Relationship of Operations
- Exponents
- The Order of Operations
- Substitute Letters and Numbers
- Expanded and Standard Form of Multiplication Expressions
- Equivalent Expressions
- Writing and Evaluating Expressions
- Converting between English and Metric Systems
- Solutions of Equations
- Solving One-Step Equations
Unit 6 – Inequalities
- Solving One-Variable Inequalities
- Solutions of Inequalities
- Solutions of Inequalities on a Number Line
- Applications of Inequalities
Unit 7 – Geometry
- Angles of a Triangle
- Area of Special Quadrilaterals
- Area of Right Triangles
- The Area of All Triangles
- The Area of Polygons Through Composition and Decomposition
- Volume of Right Rectangular Prisms
- Polygons on the Coordinate Plane
- Perimeter and Area of Polygons on the Coordinate Plane
- Nets and Surface Area
Unit 8– Data Displays
- Statistical Questions
- Data Distribution and Dot Plots
- Data Distribution and Histograms
- The Mean and Mode
- The Median, Range, and Interquartile Range
- Understanding Box Plots
- Comparing Data Distributions