Direct Proportion Demonstration This resource provides animated demonstrations

These questions all show two variables in direct proportion. When one quantity increases or

Proportionality constant (the multiplying factor) A sports car can travel 20 miles using

① ② ③ ① total feed days Over 2 days a herd of cows

① ② ③ ① total windows hours In 3 hours Mike cleans 12 windows.

① ② ③ ① total widgets employees 8 employees can produce 12 widgets in

① ② ③ ① T is directly proportional to D. ② When D =

① ② ③ ① P is directly proportional to Q. ② When P =

A virus reproduces every day. On day 1 there are 3 virus cells in

0 0 0 Linear Direct Proportion 0 0 0 What differences and similarities

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

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Direct Proportion – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

These questions all show two variables in direct proportion. When one quantity increases or decreases so does the other. Proportionality constant (the multiplying factor) Equation of Proportionality A car can travel 30 miles per litre of petrol. How far can the car travel with 5 litres of fuel? A shoe factory produces 120 shoes a day. How many shoes are produced in half a day?

Proportionality constant (the multiplying factor) A sports car can travel 20 miles using 4 litres of petrol. How far can the car travel with 11 litres of fuel? A shoe factory produces 90 shoes in 3 days. How many shoes are produced in 7 days? How can you find k? Show with an equation.

① ② ③ ① total feed days Over 2 days a herd of cows eat 16 kg of feed. How much feed does the herd eat over 3 days? ② 8 kg per day ③ kg

① ② ③ ① total windows hours In 3 hours Mike cleans 12 windows. How many windows can he clean in 5 hours? ② 4 windows per hour ③ windows

① ② ③ ① total widgets employees 8 employees can produce 12 widgets in a day. How many widgets can 10 employees produce in a day? ② 1. 5 widgets per employee ③ widgets

① ② ③ ① T is directly proportional to D. ② When D = 5, T = 30 Find the value of T when D = 7 ③

① ② ③ ① P is directly proportional to Q. ② When P = 48, Q = 6 a) Find the value of P when Q = 2 b) Find the value of Q when P = 32 ③

REWRITE & SUBSTITUTE

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A virus reproduces every day. On day 1 there are 3 virus cells in a body. On day 2 there are 12 virus cells in a body. On day 4 there are 48 virus cells in a body. Is this a direct proportional relationship between cells and days? This is a non-linear directly proportional relationship. virus cells days

0 0 0 Linear Direct Proportion 0 0 0 What differences and similarities are there? 0 0

REWRITE & SUBSTITUTE

1 2 3 4

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk