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.

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Presentation transcript:

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? <10 min.> After 5 min. ask for volunteers to share their solutions on Doc. Camera if available. If not, then on chart paper. This problem is intended to be a mathematically useful problem, but also to begin the discussion of anticipating student difficulties and, as a result, considering a parallel more appropriate task for some students. The problem will be revisited to create a parallel task after discussion around potential student difficulties has happened.

Possible strategies- Estimation 24 % ≈ 25 % or ¼ 90 Whole school Which is approximately 360. Ask which it is < or >. Good reasoning question. Since 24% is 90. The total is slightly more than 4 times 90, hence > 360. Hence the whole school is < 360? > 360?

Diagram 90 90 24% 90 students 96 % 360 students 4% 15 students 4x24 4x90 24/6 90/6 15 90 90

Diagram 24% = 24/100 = 6/25 (1 colour group) 4 colour groups fit in a 5x5 square each colour group represents 90 students coloured sq’s: 4x90 = 360 students but 1 square is uncloured each square is 1/6 of 90 = 15 students So, total is 360(coloured) + 15(uncloured) = 375 students Alternate presentation

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

Friendly Numbers 24% = 90 students 12% = 45 students 4% = 15 students ÷2 ÷3 X 25 Students may choose to work down and then up using friendly numbers.

Double Number Line x25 ÷6 4% 15 90 24% 375 100% A similar representation is to use a ‘double number line’.

Ratio Tables ÷ 2 ÷ 3 x 25 90 24 % 45 12% 4% 15 100% 375 A similar strategy can be arranged in a ratio table. Sample given in proportional package in appendices. This graphic organizer is used to create equivalent ratios. Entries in a column are multiplied or divided by the same amount.

Elastic Meter Manipulative 100 24 x 90 = Manipulative The elastic meter is another organizer for students to use. Students may find it useful when determining where to put the numbers in a ratio and then solve using a variety of strategies. Cross-multiply being one of then. The Elastic Meter video (GAINS website- manipulatives) shows how this strategy can be used. Show video if possible. Elastic Meter http://www.edugains.ca/newsite/math2/tipsmanipulativeinstructionalstrategies.html