Pre-Algebra in Grade 7 builds the bridge between arithmetic and algebra, preparing students for more advanced math. Through inquiry learning, students ask questions about numbers, test patterns, and reflect on problem-solving strategies. Instead of only memorizing formulas, they explore variables, equations, and proportions in real-life contexts. Activities such as puzzles, data analysis, and word problems make learning engaging. By linking abstract concepts to everyday situations, Pre-Algebra becomes a practical foundation for confidence in higher mathematics.
🟢 Starter
- Define the term “variable.”
- Write three examples of algebraic expressions.
- Solve: x + 5 = 12.
- Identify the coefficient in 3y + 7.
- Compare integers and whole numbers.
- Write three examples of positive and negative numbers.
- Solve: 2x = 18.
- Write a reflection on why equations matter.
- Simplify: 4 + 3 × 2.
- Write three examples of inequalities.
- Solve: x – 9 = 4.
- Explain what an exponent does.
- Write three examples of ratios.
- Convert 25% into a fraction.
- Solve: (2 + 3) × 4.
- Write three examples of simple equations from daily life.
- Identify the greatest common factor (GCF) of 12 and 18.
- Solve: 5x = 35.
- Write about why variables are useful in math.
- Reflect: how does pre-algebra prepare you for algebra?
🟡 Practice
- Solve: 3x + 5 = 20.
- Write a paragraph explaining what an equation is.
- Simplify: 2a + 3a – a.
- Compare prime and composite numbers.
- Solve: (12 ÷ 3) + (5 × 2).
- Write three real-life uses of ratios.
- Solve: 2x – 7 = 11.
- Research how algebra is used in engineering.
- Create a word problem involving proportions.
- Simplify: 5(2x + 3).
- Write a reflection on how patterns help solve problems.
- Solve: 4x + 6 = 18.
- Compare linear and nonlinear equations.
- Write about how fractions connect to algebra.
- Solve: (x ÷ 2) + 4 = 10.
- Create a bar graph of classmates’ favorite numbers.
- Solve: 3(x + 4) = 21.
- Write three strategies for solving word problems.
- Research how percentages are used in finance.
- Reflect: how can pre-algebra help in daily decisions?
🔴 Challenge
- Write an essay on why algebraic thinking is important in life.
- Solve: 2x + 3y = 12 when x = 3, y = 2.
- Research how formulas are used in construction.
- Create a project about the Golden Ratio.
- Solve: 5(x – 2) = 25.
- Debate: should calculators be allowed in pre-algebra?
- Write a reflection on solving multi-step problems.
- Solve: (x + 4)/2 = 6.
- Research how algebra supports computer programming.
- Write a diary entry as a student mastering equations.
- Solve: 7x – 4 = 24.
- Research how exponents are used in science.
- Write a persuasive essay about learning algebra early.
- Solve: 2(x + 3) + 4 = 18.
- Create a project showing algebra in architecture.
- Research how patterns in math connect to nature.
- Write a reflection on overcoming challenges in math.
- Solve: (3x + 5)/2 = 11.
- Compare pre-algebra problem-solving with arithmetic.
- Propose three new ways schools can make pre-algebra fun.