Math Courses

Math 7 – In-Depth Overview

Focus Areas:

• Proportional Reasoning

  • Understand and apply ratios, proportions, and percent to real-world problems (e.g., discounts, tax, scale drawings).

• Operations with Rational Numbers

  • Extend understanding of integers, decimals, and fractions, including operations with positive and negative numbers.

  • Apply order of operations and properties of operations with all rational numbers.

• Expressions and Equations

  • Simplify expressions using properties.

  • Solve one- and two-step equations and inequalities.

• Geometry & Measurement

  • Solve problems involving area, surface area, and volume of 2D and 3D figures.

  • Use angles and geometric tools to solve problems.

• Statistics and Probability

  • Analyze data distributions using mean, median, mode, and range.

  • Introduce probability models to predict outcomes.

Purpose:
Math 7 builds foundational algebraic and geometric reasoning, preparing students for deeper exploration in Math 8.

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Math 8 – In-Depth Overview

Focus Areas:

• Linear Equations and Functions

  • Understand the concept of a function and use function notation.

  • Graph linear relationships and understand slope as rate of change.

  • Solve systems of linear equations.

• Transformations and Geometry

  • Explore congruence and similarity through transformations (reflections, rotations, translations, dilations).

  • Use the Pythagorean Theorem to find distances in coordinate planes.

• Irrational Numbers & Exponents

  • Explore properties of exponents and scientific notation.

  • Understand irrational numbers (e.g., √2, π) and their placement on the number line.

• Volume and Surface Area

  • Calculate volumes of cones, cylinders, and spheres.

• Statistics

  • Use scatter plots and lines of best fit to interpret real-world data.

Purpose:
Math 8 is a bridge between middle school and high school mathematics, preparing students for success in Algebra 1.

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Algebra 1 – In-Depth Overview

Focus Areas:

• Expressions, Equations, and Inequalities

  • Simplify algebraic expressions and solve multi-step equations and inequalities, including those with variables on both sides.

• Linear, Quadratic, and Exponential Functions

  • Explore and compare linear, quadratic, and exponential models.

  • Analyze and interpret graphs, tables, and equations of these functions.

  • Solve systems of equations using graphing, substitution, and elimination.

• Factoring and Quadratic Equations

  • Factor trinomials and solve quadratic equations by factoring, completing the square, and the quadratic formula.

• Exponents and Polynomials

  • Use laws of exponents to simplify and operate with polynomials.

  • Understand the structure of expressions and rewrite them for clarity and efficiency.

• Real-World Applications

  • Model and solve problems involving motion, growth, and financial decisions using algebraic reasoning.

Purpose:
Algebra 1 is a foundational course for all higher-level math. It develops abstract thinking and prepares students for Geometry and Algebra 2.

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Geometry – In-Depth Overview

Focus Areas:

• Geometric Reasoning and Proof

  • Use deductive reasoning to construct logical arguments and formal proofs.

  • Prove theorems involving lines, angles, triangles, and parallelograms.

• Congruence and Similarity

  • Apply transformations and triangle congruence theorems (SSS, SAS, ASA) to establish similarity and congruence.

• Coordinate Geometry

  • Use algebra to prove geometric concepts (e.g., slope, distance, midpoint) on the coordinate plane.

• Circles and Volume

  • Investigate arcs, chords, and angles in circles.

  • Solve problems involving area and volume of 2D and 3D figures, including composite shapes.

• Trigonometry

  • Introduce right triangle trigonometry (sine, cosine, tangent) for angle and side calculations.

• Modeling with Geometry

  • Use geometric modeling to solve real-world problems (e.g., design, architecture, navigation).

Purpose:
Geometry builds spatial reasoning and deductive logic. It prepares students for Algebra 2 and applies math in real-world visual and physical contexts.

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Progression Summary: