Pre-Algebra introduces students to the world of variables, equations, and patterns that prepare them for advanced mathematics. Through inquiry learning, students explore how numbers, operations, and unknowns connect to solve problems. Instead of only memorizing rules, they experiment with equations, analyze patterns, and apply logic to real-life situations. Activities such as modeling, puzzles, and projects build confidence and curiosity. By practicing critical thinking, Pre-Algebra becomes more than symbols, it becomes the foundation of problem-solving and mathematical reasoning.
🟢 Starter
- Write three examples of variables (like x, y, z).
- Solve: 3x = 12.
- Write a number pattern that increases by 5.
- Solve: 2x + 4 = 10.
- Write three sentences about why algebra uses letters.
- Convert ⅔ into a decimal.
- Compare even and odd numbers.
- Solve: x – 7 = 9.
- Write down a real-life example of a ratio.
- Create a table showing multiples of 6.
- Solve: 5x = 25.
- Write one question you have about equations.
- Compare expressions 2x + 3 and 2(x + 3).
- Write three prime numbers greater than 20.
- Solve: x + 12 = 20.
- Create a slogan about algebra.
- Write three examples of exponents (like 2²).
- Solve: 15 ÷ 3x = 5 (find x).
- Write a diary entry about solving a math puzzle.
- Draw a coordinate plane and plot (2, 4).
🟡 Practice
- Solve: 4x – 3 = 13.
- Write three ways to show the number 24 (factors, multiples, expressions).
- Compare expressions: 3(x + 2) and 3x + 6.
- Solve: 2x + 5 = 17.
- Write a paragraph about why variables are useful.
- Create a real-life problem using ratios.
- Solve: (x ÷ 2) + 7 = 15.
- Write three examples of distributive property.
- Research how algebra is used in coding.
- Solve: 5x + 2 = 17.
- Create a graph of y = 2x.
- Write three sentences about negative numbers.
- Solve: 3(x – 4) = 12.
- Write about how patterns appear in nature.
- Compare fractions ⅗ and 4/7.
- Solve: (2x + 4) ÷ 2 = 10.
- Create a table of values for y = x + 3.
- Write a short story problem with algebra.
- Solve: 2(x + 5) = 20.
- Research how algebra helps in architecture.
🔴 Challenge
- Solve: 2x + 3y = 18 when x = 3.
- Debate whether algebra is more useful than geometry.
- Research the history of algebra.
- Solve: (x + 4)(x – 4).
- Create a project about equations in daily life.
- Solve: 4(x – 2) + 3 = 19.
- Write an essay on how algebra builds problem-solving.
- Graph y = 2x + 1.
- Solve: 5x – 2 = 3x + 6.
- Research how algebra is used in business.
- Write a diary entry from the perspective of “x.”
- Compare linear and non-linear patterns.
- Solve: (3x + 6) ÷ 3 = 10.
- Write a persuasive speech about algebra in schools.
- Create your own algebra puzzle.
- Solve: 2(x + 3) = 3(x – 1).
- Research how algebra connects to physics.
- Write a reflection about solving a tough equation.
- Solve: (x² = 49).
- Propose three new ways to make algebra fun.