Algebra I in Grade 8 helps students explore mathematical thinking beyond arithmetic. Learners investigate patterns, variables, and equations through inquiry, asking questions and testing solutions. Instead of only memorizing formulas, students apply reasoning to real-life contexts, such as problem solving with numbers, graphs, and functions. Writing reflections, experimenting with different solution paths, and discussing results build deeper understanding.
Algebra I supports critical thinking by encouraging students to see mathematics as a language of logic and patterns. With activities from basic expressions to real-world projects, learners gain confidence in using algebra as a tool for communication, exploration, and decision-making.
🟢 Starter
- Define the term variable.
- Write three examples of algebraic expressions.
- List three uses of algebra in daily life.
- Create a simple equation with one variable.
- Solve: x + 5 = 12.
- Write a reflection on why letters can represent numbers.
- List three steps in solving an equation.
- Create a number pattern and describe its rule.
- Identify the coefficient in 4x + 7.
- Write three sentences explaining what an equation is.
- Solve: 2x = 10.
- Create an expression for the total cost of 3 pencils at price p.
- Write three examples of constants in equations.
- Compare variables and constants.
- Reflect: why is algebra useful in school and life?
- Solve: x – 4 = 9.
- Create a two-step equation for classmates to solve.
- Write three properties of addition.
- Identify the variable in y – 3 = 8.
- Reflect: how does algebra connect to problem solving?
🟡 Practice
- Solve: 3x + 4 = 19.
- Write a paragraph on how algebra helps in technology.
- Create a word problem using an equation.
- Compare linear equations and inequalities.
- Solve: 2(x + 5) = 20.
- Write three strategies for checking solutions.
- Graph the equation y = 2x.
- Explain the meaning of slope in your own words.
- Solve: 5x – 7 = 18.
- Create a table of values for y = x + 2.
- Write a reflection on how patterns lead to rules.
- Research how algebra is used in engineering.
- Solve: x/3 + 2 = 6.
- Write three differences between expressions and equations.
- Create a function rule for doubling a number.
- Compare solving equations by substitution and elimination.
- Write a real-world example of an inequality.
- Solve: 4(x – 2) = 12.
- Reflect: how do graphs show relationships?
- Write a short explanation of why balance is important in algebra.
🔴 Challenge
- Solve: 2x + 3y = 12 and x – y = 4.
- Write an essay on how algebra changed mathematics.
- Research how ancient civilizations used algebra.
- Debate: should algebra be required for all students?
- Create a project showing algebra in business or science.
- Solve: y = 2x + 1 when x = –3, 0, 4.
- Write a reflection on challenges in learning algebra.
- Compare linear and quadratic equations.
- Create a graph to represent y = x² – 2x.
- Research how algebra is used in computer programming.
- Solve a real-world problem with simultaneous equations.
- Write a persuasive essay on why algebra is essential.
- Create a presentation on algebra and architecture.
- Compare exact solutions and approximations in algebra.
- Solve: (x + 2)(x – 2) = 0.
- Write a reflection on how algebra develops logical thinking.
- Research the role of algebra in space exploration.
- Create a function that models population growth.
- Debate: is technology reducing the need for algebra skills?
- Write a guide for younger students on how to approach algebra problems.