Discussion Prompt and Sample Response The new price was reduced by a further 20%. This means a total discount of 45%. Do you agree or disagree? Explain your reasoning. Further reduced by 20% The bicycle is further reduced by $30. The new price of the bicycle is $150 $30 = $120. – Discount of 45% The bicycle is reduced by $90. The new price for the bicycle is $200 - $90 = $110. I disagree with the statement. The 25% discount, followed by a further 20% discount saves $80. The 45% discount saves $90. Responses should include: an explanation of thinking in written or video form a comparison of the two solutions a contrast of the two solutions selection of a solution and an explanation why Common Error: an unclear understanding of a further discount Task 3: Basketball Season Problem and Sample Solution The Hagersville basketball team plays 80 games in a season. So far, Jackson played 27 games and scored 450 points. After an injury, Gerdon played 18 games and scored 320 points. If these players continue playing the way they have been, who will have the better season? Solution using unit rates: Jackson played 27 and scored 450 points. His unit rate is 450 ÷ 27 = 16.67 points/game. Gerdon played 18 and scored 320 points. His unit rate is 320 ÷ 18 = 17.78 points/game. Gerdon has a better points per game ratio and will have the better season. Solution using ratio tables: will score 150 points in 9 games. Jackson Gerdon will score 160 points in 9 games. Gerdon has a better points game ratio, so will have a better season if they continue playing this way. Responses should include: an explanation of thinking in written or video form a comparison of the two solutions a contrast of the two solutions selection of a solution and an explanation why
Discussion Prompt and Sample Response The new price was reduced by a further 20%. This means a total discount of 45%. Do you agree or disagree? Explain your reasoning. Further reduced by 20% The bicycle is further reduced by $30. The new price of the bicycle is $150 – $30 = $120. Discount of 45% The bicycle is reduced by $90. The new price for the bicycle is $200 - $90 = $110. I disagree with the statement. The 25% discount, followed by a further 20% discount saves $80. The 45% discount saves $90. Responses should include: an explanation of thinking in written or video form a comparison of the two solutions a contrast of the two solutions selection of a solution and an explanation why Common Error: an unclear understanding of a further discount Task 3: Basketball Season Problem and Sample Solution The Hagersville basketball team plays 80 games in a season. So far, Jackson played 27 games and scored 450 points. After an injury, Gerdon played 18 games and scored 320 points. If these players continue playing the way they have been, who will have the better season? Solution using unit rates: Jackson played 27 and scored 450 points. His unit rate is 450 ÷ 27 = 16.67 points/game. Gerdon played 18 and scored 320 points. His unit rate is 320 ÷ 18 = 17.78 points/game. Gerdon has a better points per game ratio and will have the better season. Solution using ratio tables: Jackson will score 150 points in 9 games. Gerdon will score 160 points in 9 games. Gerdon has a better points game ratio, so will have a better season if they continue playing this way. Responses should include: an explanation of thinking in written or video form a comparison of the two solutions a contrast of the two solutions selection of a solution and an explanation why
U4A7_ProportionalProblems_AODA.docx