Course Description

This class lays the foundation for algebra and beyond. The course focuses on key mathematical concepts such as integers, fractions, decimals, ratios, proportions, and basic algebraic expressions. Through a combination of theoretical lessons, practice exercises, and problem-solving activities, students will build a solid understanding of pre-algebra concepts.

Students will learn to work with variables, solve simple equations, and understand the principles of the coordinate plane. The course also introduces basic geometry concepts and explores the relationships between shapes, areas, and volumes. Emphasis is placed on critical thinking, mathematical reasoning, and applying concepts to real-world situations.

By the end of the course, students will be prepared for algebra and have a strong foundation in essential pre-algebra skills. 

Course Details


Seventh Grade

Course Objectives

  • Develop a solid understanding of fundamental pre-algebra concepts.
  • Learn to work with integers, fractions, decimals, ratios, and proportions.
  • Understand basic algebraic expressions and solve simple equations.
  • Explore the principles of the coordinate plane and basic geometry.
  • Build problem-solving skills and apply mathematical concepts to real-world situations.

Course Outline

Unit 1: Understanding Numbers

  • Integers and Operations
    • Working with positive and negative numbers.
    • Understanding addition, subtraction, multiplication, and division of integers.
  • Fractions and Decimals
    • Converting between fractions and decimals.
    • Performing arithmetic operations with fractions and decimals.

Unit 2: Ratios, Proportions, and Percentages

  • Ratios and Proportions
    • Understanding the concept of ratios and solving proportion problems.
    • Applying proportions to real-world scenarios.
  • Percentages
    • Converting between fractions, decimals, and percentages.
    • Solving problems involving percentages, including discounts and interest.

Unit 3: Basic Algebraic Concepts

  • Algebraic Expressions
    • Understanding variables and algebraic expressions.
    • Simplifying algebraic expressions using basic operations.
  • Solving Simple Equations
    • Learning to solve one-step and two-step equations.
    • Applying algebraic methods to solve simple equations.

Unit 4: Geometry Basics

  • Lines and Angles
    • Understanding basic geometric terms and concepts.
    • Exploring types of angles and relationships between lines.
  • Polygons and Circles
    • Identifying common polygons and calculating their perimeter and area.
    • Understanding the properties of circles and calculating circumference and area.

Unit 5: Coordinate Geometry

  • The Coordinate Plane
    • Learning about the Cartesian coordinate system.
    • Plotting points and graphing lines on the coordinate plane.
  • Linear Equations
    • Understanding the concept of slope and y-intercept.
    • Graphing linear equations and solving for x and y.

Unit 6: Data Analysis and Probability

  • Basic Statistics
    • Learning to calculate mean, median, and mode.
    • Understanding the concept of range and standard deviation.
  • Introduction to Probability
    • Exploring basic probability concepts.
    • Solving simple probability problems.

Expected Outcomes

By the end of this course, students will have a solid understanding of fundamental pre-algebra concepts, including integers, fractions, ratios, algebraic expressions, and basic geometry. They will be prepared for algebra and have developed strong problem-solving and critical thinking skills. The course aims to equip students with the mathematical foundation necessary for success in higher-level math and real-world applications.

Syllabus for upcoming year coming soon. 

Coming soon.