Mathematics in Grade 6 focuses on fractions, decimals, percentages, ratios, geometry, and early algebra. Through inquiry learning, students ask questions, test strategies, and apply concepts to real-life problems. Instead of only memorizing steps, they explore patterns, compare solutions, and explain their reasoning. Activities like data collection, modeling, and debates make math engaging and practical. By connecting numbers to everyday situations, Mathematics becomes more than calculations, it becomes a powerful way to understand and shape the world.
🟢 Starter
- Convert ¾ into a decimal and a percentage.
- Compare 2.45 and 2.54 – explain which is greater and why.
- Write three prime numbers between 20 and 50.
- Add 3/8 + 5/8 and explain the steps.
- Multiply 24 × 15 using a written method.
- Find the perimeter of a rectangle that is 12 cm by 8 cm.
- Solve: 2x + 7 = 19.
- Round 246.78 to the nearest tenth.
- Write three examples of ratios you see in daily life.
- Calculate the area of a triangle with base 10 cm and height 6 cm.
- Compare 25% of 200 with ⅓ of 200.
- Write a factor tree for 84.
- Subtract 5.67 – 2.89 and explain your method.
- Plot the points (2,3) and (5,7) on a coordinate plane.
- Convert 2 hours and 45 minutes into minutes.
- Write a short word problem involving percentages.
- Find the least common multiple (LCM) of 6 and 14.
- Identify the mean of these numbers: 4, 6, 8, 10, 12.
- Compare positive and negative numbers on a number line.
- Explain why 0.5, ½, and 50% are the same value.
🟡 Practice
- Solve: 5x – 3 = 27.
- Calculate the surface area of a cube with side length 5 cm.
- Write a paragraph explaining the difference between mean, median, and mode.
- Compare fractions: Which is greater, 7/12 or 5/8? Show why.
- Convert 3.5 km into meters.
- Create a bar graph showing classmates’ favorite sports.
- Solve a real-world problem using percentages (e.g., 20% discount on $45).
- Factorize 96 into prime factors.
- Write three examples of proportions in daily life.
- Solve a ratio problem: 2:5 = ? : 20.
- Calculate the volume of a rectangular prism (4 × 5 × 6 cm).
- Write a word problem using negative numbers.
- Research the Fibonacci sequence and list the first 10 terms.
- Compare simple and compound interest with examples.
- Create a pie chart showing how you spend your day.
- Solve: (36 ÷ 4) + (12 × 2).
- Convert 0.375 into a fraction.
- Write a paragraph about where you see geometry in architecture.
- Create and solve your own algebraic equation.
- Investigate symmetry in objects around your classroom.
🔴 Challenge
- Write an essay on why algebra is important in real life.
- Solve: 3(x – 4) = 27.
- Research how probability is used in weather forecasts.
- Create a project about the Golden Ratio in nature.
- Debate whether calculators should be allowed in exams.
- Solve a word problem involving speed, distance, and time.
- Write a report on how geometry is used in designing bridges.
- Compare the probability of rolling a 6 on one die vs two dice.
- Research how statistics are used in sports.
- Calculate the volume of a cylinder with radius 7 cm and height 10 cm.
- Create a linear graph showing the relationship between x and 2x + 3.
- Write a persuasive speech about the importance of financial literacy.
- Research how ancient civilizations used mathematics.
- Solve: (2/3 of 90) + (25% of 160).
- Write a diary entry from the perspective of a mathematician solving a problem.
- Investigate how algorithms are used in computer science.
- Compare probability and chance with real-life examples.
- Solve: 5x + 2y = 20 when x = 2 and y = 3.
- Write a reflection about a time you used math outside of school.
- Propose three new ideas for making math fun and interactive.