Mathematics in Grade 7 builds on earlier knowledge of fractions, decimals, and geometry by introducing deeper concepts in algebra, equations, ratios, probability, and statistics. Students are encouraged to ask questions, test strategies, and explain reasoning rather than rely on memorization. Inquiry learning emphasizes real-world applications, where learners connect mathematical ideas to science, technology, and everyday problem-solving. Activities include data analysis, projects, modeling, and debates that make mathematics active and engaging. By exploring patterns, relationships, and structures, students see that Mathematics is not only about solving problems but also about understanding the world, making decisions, and preparing for higher levels of study.
🟢 Starter
- Simplify: 3x + 4x – 2.
- Convert 5/6 into a decimal and percentage.
- Plot the points (–2, 1) and (4, –3) on a coordinate plane.
- Multiply 48 × 36 using a written method.
- Solve: 2x + 9 = 21.
- Write three prime numbers between 50 and 100.
- Find the perimeter of a triangle with sides 7 cm, 9 cm, and 12 cm.
- Round 8,946 to the nearest hundred.
- Write three examples of ratios in sports.
- Calculate the area of a parallelogram with base 12 cm and height 5 cm.
- Compare 40% of 250 with ⅖ of 250.
- Factorize 120 using a factor tree.
- Subtract 15.8 – 7.46 and explain the steps.
- Convert 3 hours and 25 minutes into minutes.
- Write a short word problem involving speed and distance.
- Find the least common multiple (LCM) of 8 and 12.
- Calculate the mean of these numbers: 12, 15, 20, 23, 25.
- Compare integers: –12 and –9.
- Explain why 0.25, ¼, and 25% are equal.
- Write a reflection on how you use numbers when shopping.
🟡 Practice
- Solve: 7x – 5 = 23.
- Calculate the surface area of a rectangular prism (3 × 4 × 5 cm).
- Write a paragraph explaining the difference between mean, median, and mode.
- Compare fractions: Which is greater, 11/20 or 9/16? Show why.
- Convert 4.2 km into meters.
- Create a bar graph showing classmates’ favorite school subjects.
- Solve a real-world discount problem (e.g., 15% off $120).
- Factorize 144 into prime factors.
- Write three examples of proportions in cooking.
- Solve a ratio problem: 3:7 = ? : 56.
- Calculate the volume of a cube with side 6 cm.
- Write a word problem using negative temperatures.
- Research and list the first 12 terms of the Fibonacci sequence.
- Compare simple and compound interest with real-world numbers.
- Create a pie chart showing how you spend a 24-hour day.
- Solve: (72 ÷ 6) + (15 × 3).
- Convert 0.625 into a fraction.
- Write a paragraph on how geometry appears in famous buildings.
- Create and solve your own algebraic equation.
- Investigate rotational symmetry in classroom objects.
🔴 Challenge
- Write an essay on how algebra connects to science and technology.
- Solve: 4(x – 3) = 40.
- Research how probability is used in medical studies.
- Create a project about the Golden Ratio in art.
- Debate whether students should use mental math or calculators.
- Solve a word problem involving distance, speed, and time.
- Write a report on how geometry is used in bridge or tower design.
- Compare the probability of flipping heads twice vs rolling a 7 on two dice.
- Research how statistics are used in business or economics.
- Calculate the volume of a cylinder with radius 5 cm and height 12 cm.
- Graph the line y = 2x + 1 for x values from –3 to +3.
- Write a persuasive speech about why financial literacy matters.
- Research how ancient civilizations like the Mayans used mathematics.
- Solve: (¾ of 120) + (30% of 200).
- Write a diary entry from the perspective of a student solving equations.
- Investigate how algorithms shape search engines and social media.
- Compare theoretical probability vs experimental probability with examples.
- Solve: 2x + 3y = 18 when x = 4 and y = 2.
- Write a reflection on when you solved a math problem outside school.
- Propose three innovative ways to make math learning more interactive.