Pre-Algebra
Build the mathematical foundation every student needs: number sense, ratios, expressions, geometry, and introductory linear relationships. This is the bridge from arithmetic to algebra.
6 units and 39 lessons, for Grade 6 to Grade 8. Free on Slate.
Unit 1: Number Sense & Operations
Build fluency with integers, rational numbers, and the full real number line.
- Integers and Absolute Value (10 min)
- Rational Numbers and the Number Line (10 min)
- Adding and Subtracting Integers (10 min)
- Multiplying and Dividing Integers (10 min)
- Fraction Operations (10 min)
- Decimals and Percents (10 min)
- Order of Operations (10 min)
- Prime Factorization, GCF, and LCM (10 min)
Unit 2: Ratios, Rates & Proportional Reasoning
Develop the proportional reasoning that underlies algebra, geometry, and data analysis.
- Ratios and Unit Rates (10 min)
- Proportions and Cross-Multiplication (10 min)
- Proportional Relationships and Graphs (10 min)
- Percent Applications (10 min)
- Percent Change and Error (10 min)
- Scale Drawings and Similar Figures (10 min)
Unit 3: Expressions & Equations
Transition from arithmetic to symbolic reasoning: writing, evaluating, and solving.
- Variables and Algebraic Expressions (10 min)
- Writing and Evaluating Expressions (10 min)
- Properties of Operations (10 min)
- Solving One-Step Equations (10 min)
- Solving Two-Step Equations (10 min)
- Inequalities and Their Solutions (10 min)
- Graphing Inequalities on the Number Line (10 min)
Unit 4: Geometry Foundations
Develop spatial reasoning with angles, area, surface area, and volume.
- Angle Relationships (10 min)
- Triangles: Types and Properties (10 min)
- Area of Polygons (10 min)
- Circles: Circumference and Area (10 min)
- Surface Area of Prisms and Cylinders (10 min)
- Volume of Prisms and Cylinders (10 min)
- Introduction to the Pythagorean Theorem (10 min)
Unit 5: Statistics & Probability
Analyze data distributions and reason about chance with precision.
- Mean, Median, Mode, and Range (10 min)
- Dot Plots, Histograms, and Box Plots (10 min)
- Measures of Variability: IQR and MAD (10 min)
- Introduction to Probability (10 min)
- Theoretical vs. Experimental Probability (10 min)
- Compound Events and Sample Spaces (10 min)
Unit 6: The Coordinate Plane & Linear Relationships
Connect algebraic and graphical representations of linear relationships.
- The Coordinate Plane (10 min)
- Graphing Linear Equations (10 min)
- Slope and Rate of Change (10 min)
- Slope-Intercept Form Preview (10 min)
- Direct Variation (10 min)