Algebra I in Grade 7 introduces students to variables, expressions, and equations as tools for problem-solving. Instead of only calculating answers, learners explore how algebra represents real-life situations and patterns. Through inquiry learning, students ask questions, test strategies, and compare solutions to deepen understanding. Activities such as graphing, modeling, and word problems show that algebra is not just symbols on paper, but a language to explain change, relationships, and logical thinking. By applying algebra to daily challenges, Algebra I becomes a foundation for future mathematics.
🟢 Starter
- Simplify: 2x + 3x.
- Solve: x + 7 = 15.
- Write an algebraic expression for “five more than a number.”
- Substitute x = 4 into 3x + 2.
- Identify the coefficient in 6y.
- Translate: “a number decreased by 9” into an expression.
- Solve: 12 – y = 7.
- Graph the points (0,2), (1,4), (2,6) on a coordinate plane.
- Write three examples of equations you might see in daily life.
- Solve: 5x = 20.
- Simplify: 8a – 3a.
- Substitute y = 2 into y² + 5.
- Write an inequality for “a number is less than 12.”
- Explain what the variable stands for in 2x + 5 = 11.
- Solve: x – 4 = 10.
- Identify like terms in 7m + 4 – 2m + 6.
- Write a word problem that could be modeled by x + 8 = 20.
- Graph the line y = 2x for x = 0,1,2.
- Convert “triple a number plus one” into an expression.
- Reflect: how does algebra help describe patterns?
🟡 Practice
- Solve: 4x – 3 = 17.
- Factor: 3x + 9.
- Write an equation to represent: “The cost is $5 per ticket plus $2.”
- Simplify: 2(3x + 4).
- Solve: x/5 = 7.
- Translate: “The product of a number and 6 increased by 2” into an expression.
- Solve: 2x + 5 = 19.
- Graph y = x + 1 for x = –2 to 2.
- Write three examples of algebra in sports or games.
- Identify the slope in y = 2x + 3.
- Simplify: (5x + 7) – (2x + 3).
- Write an equation for: “The perimeter of a square is 4 times the side length.”
- Solve: 9x + 2 = 38.
- Substitute a = 3, b = 2 into ab + a².
- Write an inequality for: “A number is at least 10.”
- Create a table of values for y = 2x – 1.
- Factorize: x² + 5x.
- Write a real-world problem that fits 7x = 84.
- Compare algebraic expressions and equations with examples.
- Reflect: how can algebra be used in budgeting?
🔴 Challenge
- Write an essay on how algebra explains patterns in nature.
- Solve: 3(x – 2) = 18.
- Graph y = –x + 4 for x = –3 to 3.
- Research how algebra is used in computer coding.
- Debate: is algebra more about numbers or ideas?
- Solve a word problem involving age differences using algebra.
- Write a report on how algebra helps in architecture or engineering.
- Solve: 2x + 3y = 12 when x = 2.
- Create a project showing linear relationships in daily life.
- Write a persuasive speech about why learning algebra matters.
- Research how ancient civilizations used algebraic ideas.
- Solve: (x/2) + 5 = 11.
- Graph the inequality y > x – 2.
- Compare linear vs nonlinear equations with examples.
- Write a diary entry from a student using algebra in a project.
- Investigate how algorithms use algebraic logic.
- Solve: 4x – 7 = 2x + 5.
- Reflect on how algebra helps solve real-world problems.
- Propose three ways to make algebra engaging for Grade 7 students.
- Create your own algebra-based puzzle and solve it.