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Number of Students in a School

If 24% of the students in a school have visited at least two other provinces, how many students are in the school? Possible strategies, estimation, diagram, number line, friendly numbers, double number line, and ratio tables.

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Number of Students in a School

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  1. Choice A 90 students in a school have visited at least two other provinces. If this represents 24% of the students in the school, how many students are in the school?

  2. 90 90 90 90 Whole school Possible Strategies – Estimation 24 % ≈ 25 % or ¼ Which is approximately 360. Hence the whole school is < 360? > 360?

  3. 4×90 4×24 24/6 90/6 Diagram 90 90 24% 90 students 96 % 360 students 4% 15 students 100% 375 students 15 90 90

  4. Diagram • 24% = 24/100 = 6/25 (1 colour group) • 4 colour groups fit in a 5×5 square • Each colour group represents 90 students • Coloured squares: 4×90 = 360 students • 1 square is not coloured • Each square is 1/6 of 90 = 15 students So, total is 360 (coloured) + 15 (not coloured) = 375 students

  5. 375 360 96 % Number Line 90 90 90 90 15 24 % 24 % 24 % 24 % 4 %

  6. Friendly Numbers • 24% = 90 students • 12% = 45 students • 4% = 15 students • 100% = 375 students ÷2 ÷3 ×25

  7. ×25 ÷6 15 90 4% 24% ÷6 ×25 Double Number Line 375 100%

  8. × 25 ÷ 2 ÷ 3 45 15 375 12% 4% 100% ÷ 3 ÷ 2 × 25 Ratio Tables

  9. x 90 100 24 = Elastic Meter Manipulative Elastic Metre

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