TOPICS > Mathematics ​> Grades 6-7-8

1. The Four Operations
- Addition, Subtraction, Multiplication, and Division
- Properties of Operations
- Order of Operations

2. Decimals
- Place Value and Decimal Notation
- Decimal Operations: Addition, Subtraction, Multiplication, and Division
- Comparing and Rounding Decimals

3. Fractions and Mixed Numbers
- Understanding Fractions
- Equivalent Fractions and Simplification
- Adding, Subtracting, Multiplying, and Dividing Fractions
- Mixed Numbers and Improper Fractions

4. Integers
- Understanding Positive and Negative Numbers
- Absolute Value and Ordering Integers
- Operations with Integers

5. Ratios, Rates, Proportions
- Ratios and Rates
- Solving Proportions
- Proportional Relationships

6. Units of Measurement
- Measurement Systems (Metric and Imperial)
- Length, Area, Volume, and Capacity
- Converting Units of Measurement

7. Patterns and Sequences
- Recognizing Patterns
- Arithmetic Sequences
- Geometric Sequences

8. Transformations and Congruence
- Reflections, Rotations, and Translations
- Congruent Figures and Symmetry

9. Constructions
- Basic Constructions with a Compass and Straightedge

10. Probability
- Understanding Probability
- Probability of Events
- Probability in Real-Life Situations

11. Exponents and Square Roots
- Introduction to Exponents
- Simplifying Exponential Expressions
- Square Roots and Cube Roots

12. Linear Functions
- Introduction to Linear Functions
- Graphing Linear Equations
- Slope and Y-Intercept

13. One and Two Variable Equations
- Solving One-Step and Two-Step Equations
- Writing and Solving Two-Variable Equations

14. Monomials and Polynomials
- Monomials, Polynomials, and Degree
- Operations with Polynomials

15. Rational Numbers
- Rational and Irrational Numbers
- Converting between Decimals and Fractions
- Operations with Rational Numbers

16. Three-Dimensional Figures
- Identifying 3D Shapes
- Volume and Surface Area of 3D Figures

17. Two-Dimensional Figures
- Properties of 2D Shapes
- Perimeter and Area of 2D Figures

18. Problem Solving and Estimation
- Problem-Solving Strategies
- Estimation Techniques
- Word Problems and Applications

19. Statistics
- Data Collection and Representation
- Measures of Central Tendency
- Data Interpretation and Analysis

20. Pythagorean Theorem
- Understanding the Pythagorean Theorem
- Applying the Theorem to Solve Problems