Understanding Two-Way Tables with Ratios and Fractions

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Learn how to interpret two-way tables involving ratios and fractions in a math classroom setting. Explore examples of scenarios with varying numbers of students, gender distributions, and subject preferences. Discover the relationships between mathematics and English studies based on the provided data.


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  1. Representing data: Representing data: Two Way Tables with ratio and fractions. Two Way Tables with ratio and fractions. Silent Teacher Intelligent Practice Your Turn Narration Maths English Total Boys Girls Total Example For more videos visit mrbartonmaths.com/videos mrbartonmaths.com/videos

  2. Worked Example Your Turn 120 students in total. There are 12 more boys than girls altogether. The ratio Maths : English= 2 : 3 Half as many girls have Maths as have English. 120 students in total. There are 18 more boys than girls altogether. The ratio Maths : English= 3 : 2 Half as many girls have Maths as have English. Maths English Total Maths English Total Boys Boys Girls Girls Total Total @mathsmrgordon

  3. Worked Example Your Turn 120 students in total. There are 12 more girls than boys altogether. The ratio Maths : English= 2 : 3 Half as many girls have Maths as have English. 120 students in total. There are 18 more boys than girls altogether. The ratio Maths : English= 3 : 2 Half as many girls have Maths as have English. Maths English Total Maths English Total Boys 26 18 54 Boys 55 14 69 Girls 22 44 66 Girls 17 34 51 Total 48 72 120 Total 72 48 120 @mathsmrgordon

  4. 120 students in total. There are 8 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have Maths as have English. 240 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have Maths as have English. 240 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have English as have Maths. Maths English Total Maths English Total Maths English Total Boys Boys Boys Girls Girls Girls Total Total Total 120 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 3 : 1 A third as many girls have English as have Maths. 120 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have English as have Maths. 120students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 3 : 2 A third as many girls have English as have Maths. Maths English Total Maths English Total Maths English Total Boys Boys Boys Girls Girls Girls Total Total Total @mathsmrgordon

  5. 120 students in total. There are 8 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have Maths as have English. 240 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have Maths as have English. 240 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have English as have Maths. Maths English Total Maths English Total Maths English Total Boys 34 30 64 Boys 68 60 128 Boys 12 116 128 Girls 14 42 56 Girls 28 84 112 Girls 84 28 112 Total 48 72 120 Total 96 144 240 Total 96 144 240 120 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 3 : 1 A third as many girls have English as have Maths. 120 students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 2 : 3 A third as many girls have English as have Maths. 120students in total. There are 16 more boys than girls altogether. The ratio Maths : English= 3 : 2 A third as many girls have English as have Maths. Maths English Total Maths English Total Maths English Total Boys 51 17 68 Boys 9 59 68 Boys 35 33 68 Girls 39 13 52 Girls 39 13 52 Girls 39 13 52 Total 90 30 120 Total 48 72 120 Total 72 48 120 @mathsmrgordon

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