Proportion www mathsrevision com Level 4 Proportional Division

Proportion www. mathsrevision. com Level 4+ Proportional Division Proportion per item Direct Proportion Graph of Direct Proportion Inverse (Indirect) Proportion 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Starter Questions Level 4+ www. mathsrevision. com 9 8 6 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportional Division www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning to calculate proportional division by using shares. 1. Be able to find total shares. 2. Find fractional share. 3. Solve problems using appropriate working. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportional Division www. mathsrevision. com Level 4+ Example : Jack and Victor share a raffle win of £ 500 in the ratio 2: 3. How much does each get ? Are we Make smaller expecting Total number of shares : 2 + 3 = 5 shares fraction more or less Jack 29 -Nov-20 No. of shares 5 2 → → Created by Mr. Lafferty Maths Dept. £ 500

www. mathsrevision. com Are we Make smaller expecting fraction Level 4+ more or less Victor Proportional Division No. of shares 5 3 → → £ 500 Check : £ 200 + £ 300 = £ 500 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Level 4+ www. mathsrevision. com Ex : Proportional Division Ryan, Ross and Ben share 24 cakes in the ratio 1 : 2 : 3. How many cakes does each get ? Are we Make smaller expecting Total number of shares : 1 + 2 + 3 = 6 shares fraction more or less Ryan 29 -Nov-20 No. of shares 6 1 → → Created by Mr. Lafferty Maths Dept. Cakes 24

www. mathsrevision. com Are we Make smaller expecting fraction Level 4+ more or less Ross 29 -Nov-20 Proportional Division No. of shares 6 2 → → Created by Mr. Lafferty Maths Dept. Cakes 24

www. mathsrevision. com Are we Make smaller expecting fraction Level 4+ more or less Ben Proportional Division No. of shares 6 3 → → Check : 4 + 8 + 12 = 24 29 -Nov-20 Created by Mr. Lafferty Maths Dept. Cakes 24

Proportion www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 15. 1 Ch 15 (page 111) 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion www. mathsrevision. com Level 4+ Learning Intention 1 Success Criteria We are learning the value of one item using proportion. 1. Understand the term per item. 2. Solve simple proportional problems. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion www. mathsrevision. com Level 4+ If you know the total cost of several items, you can easily find the cost per item ( cost for 1 ). Example Are we : Make smaller expecting fraction more or less The cost of 5 chocolate bars is £ 8. 00. Find the cost of one. No. of Bars 5 1 Per item 29 -Nov-20 → → Created by Mr. Lafferty Maths Dept. £ 8. 00

Proportion www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 15. 2 Ch 15 (page 112) 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning the term Direct Proportion. 1. Understand the idea of Direct Proportion. 2. Solve simple proportional problems. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion www. mathsrevision. com Level 4+ Two quantities, (for example, number of cakes and total cost) are said to be in DIRECT PROPORTION, if : Are we “. . When you double the number of cakes Make smaller expecting you double the cost. ” fraction more or less : Example The cost of 6 cakes is £ 4. 20. Find the cost of 5 cakes. No. of cakes 6 5 29 -Nov-20 → → £ 4. 20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion www. mathsrevision. com Level 4+ Example : Are we Make bigger expecting fraction more or less £ 30 50 29 -Nov-20 On holiday I exchanged £ 30 for $45. How many $ will I get for £ 50. → → $ 45 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion Level 4+ www. mathsrevision. com Example : 300 pencils cost £ 6. How much will 200 cost. Are we Make smaller expecting fraction more or less Pencil 300 29 -Nov-20 → → £ 6 Created by Mr. Lafferty Maths Dept.

Proportion www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 15. 3 Ch 15 (page 113) 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion Graphs www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning about Direct Proportion Graphs. 1. Understand that Direct Proportion Graph is a straight line. 2. Construct Direct Proportion Graphs. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion Graphs Level 4+ www. mathsrevision. com The table below shows the cost of packets of “Pencilss”. We can construct a graph to represent this data. What type of graph do we expect ? 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Notice that the Direct Proportion Graphs points lie on a straight line passing through the origin Level 4+ This is true for any two quantities which are in Direct Proportion. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion Direct Proportion Graphs www. mathsrevision. com Level 4+ Key. Point Two quantities which are in DIRECT PROPORTION always lie on a straight line passing through the origin. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Linear Patterns ! Can you find a formula connecting y and x Proportion Direct Proportion Graphs Level 4+ www. mathsrevision. com Example : Plot the points in the table below. Are they in direct proportion? x y 1 3 2 6 3 9 4 12 We plot the points (1, 3) , (2, 6) , (3, 19) , (4, 12) 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Proportion www. mathsrevision. com Level 4+ Direct Proportion Graphs y 12 Plotting the points 11 10 (1, 3) , (2, 6) , (3, 9) , (4, 12) 9 8 7 Since we have a straight line 6 passing through the origin 5 x and y are in 4 direct proportion. 3 2 1 29 -Nov-20 Created by Mr. Lafferty Maths Dept. 0 1 2 3 4 x

Proportion Direct Proportion Graphs www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 15. 4 Ch 15 (page 114) 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ y x x xx x x 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Ratio & Proportion Inverse Proportion www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning the term Inverse Proportion. 1. Understand the idea of Inverse Proportion. 2. Solve simple inverse proportion problems. 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Ratio & Proportion Inverse Proportion Level 4+ www. mathsrevision. com Inverse proportion is when one quantity doubles and Are wethe other halves. The two quantities are said expecting to be INVERSELY PROPORTIONAL) to each other. moreor or(INDIRECTLY less Example : If it takes 3 workers 8 hours to build a wall. How long will it take 4 men. Easier method Workers Hours. Men Hours 3 8 (less) 4 1 3 x 8 = 24 hours 4 29 -Nov-20 Created by Mr. Lafferty Maths Dept. 24 ÷ 4 = 6 hours

Ratio & Proportion Inverse Proportion Level 4+ www. mathsrevision. com Example : It takes 10 workers 12 months to build a house. Are we How long should it take 8 men. expecting more or less Men Months 12 Easier 10 method 1 12 x 10 = 120 Workers months 8 120 ÷ 8 = 15 months 10 12 (more) 8 29 -Nov-20 Created by Mr. Lafferty Maths Dept.

Have you updated your Learning Log ? Proportion Direct Proportion Graphs www. mathsrevision. com Level 4+ Now try TJ 4+ Ex 15. 5 Ch 15 (page 116) Are you on Target ? I can ? 29 -Nov-20 Created by Mr. Lafferty Maths Dept.