1. The Four Operations

- Addition, Subtraction, Multiplication, and Division

- Properties of Operations

- Order of Operations

Phet Links:

Arithmetic

Expression Exchange

2. Decimals

- Place Value and Decimal Notation

- Decimal Operations: Addition, Subtraction, Multiplication, and Division

- Comparing and Rounding Decimals

Phet Links:

Area Model Decimals

LabXchange Links:

Probability (for basic understanding of decimals)

3. Fractions and Mixed Numbers

- Understanding Fractions

- Equivalent Fractions and Simplification

- Adding, Subtracting, Multiplying, and Dividing Fractions

- Mixed Numbers and Improper Fractions

Phet Links:

Build a Fraction

Fraction Matcher

Fractions: Equality

Fractions: Intro

Fractions: Mixed Numbers

LabXchange Links:

Probability (for basic understanding of decimals)

4. Integers

- Understanding Positive and Negative Numbers

- Absolute Value and Ordering Integers

- Operations with Integers

Phet Links:

Number Line: Integers

LabXchange Links:

Coordinates & Equations (for operations with integers)

5. Ratios, Rates, Proportions

- Ratios and Rates

- Solving Proportions

- Proportional Relationships

Phet Links:

Ratio and Proportion

Unit Rates

LabXchange Links:

Sets & Venn Diagrams

Probability

6. Units of Measurement

- Measurement Systems (Metric and Imperial)

- Length, Area, Volume, and Capacity

- Converting Units of Measurement

Phet Links:

Area Builder

LabXchange Links:

Time, Speed & Distance (for practical applications)

7. Patterns and Sequences

- Recognizing Patterns

- Arithmetic Sequences

- Geometric Sequences

8. Transformations and Congruence

- Reflections, Rotations, and Translations

- Congruent Figures and Symmetry

Phet Links:

Area Builder

LabXchange Links:

Coordinates & Equations (for transformations and congruence)

9. Probability

- Understanding Probability

- Probability of Events

- Probability in Real-Life Situations

Phet Links:

Plinko Probability

LabXchange Links:

Introduction to Statistics

Probability

10. Exponents and Square Roots

- Introduction to Exponents

- Simplifying Exponential Expressions

- Square Roots and Cube Roots

LabXchange Links:

Exponents & Radicals

11. Linear Functions

- Introduction to Linear Functions

- Graphing Linear Equations

- Slope and Y-Intercept

Phet Links:

Graphing Lines

Graphing Slope-Intercept

LabXchange Links:

Coordinates & Equations

12. One and Two Variable Equations

- Solving One-Step and Two-Step Equations

- Writing and Solving Two-Variable Equations

Phet Links:

Equality Explorer: Basics

Expression Exchange

LabXchange Links:

Coordinates & Equations

13. Monomials and Polynomials

- Monomials, Polynomials, and Degree

- Operations with Polynomials

Phet Links:

Graphing Quadratics

LabXchange Links:

Quadratic Equations

14. Pythagorean Theorem

- Understanding the Pythagorean Theorem

- Applying the Theorem to Solve Problems

LabXchange Links:

Pythagoras' Theorem

15. Three-Dimensional Figures

- Identifying 3D Shapes

- Volume and Surface Area of 3D Figures

Phet Links:

Area Builder

16. Two-Dimensional Figures

- Properties of 2D Shapes

- Perimeter and Area of 2D Figures

Phet Links:

Area Builder

LabXchange Links:

Coordinates & Equations

17. Problem Solving and Estimation

- Problem-Solving Strategies

- Estimation Techniques

- Word Problems and Applications

Phet Links:

The Moving Man (practical applications)

Projectile Motion (practical applications)

LabXchange Links:

Time, Speed & Distance

18. Statistics

- Data Collection and Representation

- Measures of Central Tendency

- Data Interpretation and Analysis

Phet Links:

Mean: Share and Balance

Plinko Probability

LabXchange Links:

Introduction to Statistics

Data Visualization