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P6 maths・6D3

Pie charts

Pie charts, which show how the parts make up the whole: the whole circle is 100% and the angles at the centre add up to 360°; finding the largest and smallest parts; finding a missing angle; finding the amount in a part, or the total, from angles or percentages; comparing two parts; and a caution: when two pie charts have different totals, comparing percentages alone is not enough. Pupils are not asked to draw pie charts by hand.

Key words

ChineseEnglish
圓形圖pie chart
扇形sector
圓心角angle at the centre
百分數percentage
全部whole

The 4 short lessons and the chapter test

Lessons are in Chinese for now.

  1. 認識圓形圖
  2. 圓心角
  3. 以百分數標示的圓形圖
  4. 闡釋圓形圖
  5. 章節測驗 (chapter test)

Sample questions (in Chinese)

Question 1根據圓形圖(六年級學生最喜愛的運動),哪一項最多?

足球籃球游泳
  1. 籃球
  2. 足球
  3. 游泳
Answer and explanation

答案:A.籃球

為甚麼?扇形越大,數量越多。「籃球」的扇形最大。

Question 2圓形圖顯示小明一天的時間分配。「上學」的扇形的圓心角是多少度?

睡覺180°上學?做功課90°

°

Answer and explanation

答案:90°

為甚麼?各扇形的圓心角合起來是 360°。360° − 180° − 90° = 90°。

Question 3小明一天的時間分配如圓形圖所示,總數是 24 小時。「上學」有多少小時?

睡覺120°上學90°做功課90°玩耍60°

小時

Answer and explanation

答案:6 小時

為甚麼?「上學」的圓心角是 90°,佔全部的 90360。24 × 90360 = 6 小時。

Question 4某班學生的上學方法如圓形圖所示,總數是 80 人。「步行」有多少人?

步行30%巴士40%港鐵30%

人

Answer and explanation

答案:24 人

為甚麼?80 × 30% = 80 × 30100 = 24 人。

Based on learning unit 6D3 of the Education Bureau’s Primary Mathematics Curriculum (2017).

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