Year 7 Higher Term 3

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Cecil Brooks
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1 Year 7 Higher Term 3

2 Year 7 - Term 3: Higher Overview: Term 3 Learning Objectives Topic: Fractions, decimals and percentages - Convert between improper & mixed fractions. - Calculate with mixed numbers. Big Questions: - Multiply and divide fractions. - Show me a fraction that is equivalent to: - Multiply and divide decimals. - ¼ - Find a fraction of an amount. - 2/5-3/7 - True/sometimes/never: - Express one quantity of another as a percentage. (With Calculator). - Does a bigger denominator mean a bigger fraction? -Find a percentage of an amount (Non calculator). -Increase/decrease an amount by a given percent. (Non-calc) - Compare & order fractions. -Add & subtract fractions. - Compare fractions, decimals and percentages. -Express one quantity of another as a percentage. (Non-Calculator). Topic: Sequences, functions and graphs - Plotting straight line graphs from a table of values. - Solve simultaneous equations graphically. -Use y=mx+c to identify the equation of a line. Big Questions: - Show me two simultaneous equations with a solution x = 2 and y = What is the same/different about: y=x³, y=x³+2x-4, y=x³+x²-6x? -Recognise & plot horizontal & vertical lines. (x=1, y=3 ) Calculate the gradient of a linear graph. - Generate a sequence given the nth term rule. - Find the nth term rule given a sequence. - Recognise and use sequences of triangular, square and cube numbers and Fibonacci type sequences. -Calculate the mid-point of a line. - Use y = mx + c to identify parallel lines. - Find the equation of a line through two points or one point with a given gradient. - Sketch graphs of cubic and reciprocal functions from a table of values. - Mathematical reasoning with nth term rules. - Draw quadratic graphs from a table of values. - Recognise and use sequences of quadratic and geometric sequences.

3 FRACTIONS, DECIMALS AND PERCENTAGES KNOWLEDGE ORGANISER

4 HWK 1 - Term 3: Year seven H - Fractions, Decimals and Percentages Due Week 2 1) Add the following decimals ) Add the following decimals ) what is 40% of 300? 11) Write 75% as a fraction 3) Work out ) Which is bigger, 80% of 150 or ¾ of 200? 4) Work out ) Write as a mixed number 5/3 5) circle the decimal which is equal to onequarter 14) Work out 3 x 4/5 as a mixed number 6) circle the decimal which is equal to one-fifth 0.6, 0.25, 0.2, 0.3, ) Write 7/9 + 8/9 as a mixed number 7) Simplify the following fractions: 4/12, 3/9, 8/12 16) what is 7/9 x 3 as a mixed number? 8) Simplify the following fractions 7/21, 9/27, 8/64, 35/49 17) (Without calculator) if 10% of 300 is 30; what is 30% of 300? 9) What is 32% of ) which is bigger: 40% of 200 or 1/3 of 240?

5 Sequences, Functions and Graphs Along the corridor, up/down the stairs (x, y) Term to term rule tells you the next number in the sequence. 1, 3, 5, 7 [add 2] 29, 25, 21, 17 [subtract 4]

6 HWK 2 Term 3: H Sequences, Functions and Graphs Due week 4 1. (a) Complete the table of values for y=2x+1 4. The Straight line y + 2 = 5 has been drawn on the grid. X y -1 1 (b) On a separate sheet of paper. Draw the graph of y=2x+1 Complete this table of values for y=2x-1 X (a) Complete the table of values for y=x 2 +x X y (b) On a separate sheet of paper. Draw the graph of y=x 2 +x y b) On the grid, draw the graph of : y = 2x 1 c) Using your diagram to solve the simultaneous equations: Y = 2x = 5 Y = 2x 1 Y = X = 3. Here are the first five terms of a number sequence. 3, 8, 13, 18, (a) Write down the next two terms of the sequence. (b) Find an expression, in terms of n, for the nth term of the sequence.. (c) Explain why 387 is not a term of the sequence. (a) The line y=3x-5 crosses the y axis at P. What is the value of y at P? (b) Write down the equation of another line which is parallel to y=3x+5

7 RATIO & PROPORTION KNOWLEDGE ORGANISER

8 HWK 3 - Term 3: Year seven H - Ratio and proportion Due Week 6 1) Simplify the ratio: 32 : 24 10) A drink is made from lemonade, orange juice and coke in the ratio 6:3:2. How much lemonade used to 2) Write as a ratio in its simplest form: 4.5cm to 15mm 3) Write as a ratio in its simplest form: 1.50 : 80p 4) simply to the form 1:n 4:24 3:6 5) simply in form 1:n 12:16 6:12 6) simplify in form n:1 9:6 24:8 11) Which is the best value for money? 1 can of coke for 80p or a pack of 4 for ) Which is the best value for money? 2 cans of coke for 99p or a pack of 4 for ) Which is the best value for money? 3 cans of coke for 1.80 or a pack of 4 for 2. 14) If 1 = $1.45 how many dollars is a pair of Nike trainers costing 120 in England? 15) If 1 = $2.60 how many dollars is a Nintendo Switch costing 300 in England? 7) Share 120 into the ratio 1:2:3 16) if 1.00 = $1.70 how many pounds will I get for $45 8) Divide 45 in to the ratio 2:3 17) if the exchange rate is 1 = 2.20, how many pounds will I get for ) A drink is made from lemonade, orange juice and coke in the ratio 6:3:2. How much of each ingredient are needed to make 200ml of drink. 18) A and B are similar. Rectangle A has a base of 8cm and an area of 36cm2 Rectangle B has an area of 144cm2 Calculate the base length of

Year 9 Intermediate Term 3

Year 9 Intermediate Term 3 Year 9 - Term 3: Intermediate Overview Objectives Topic LOW - Convert between -Increase/decrease an Fractions, Decimals & Percentages -Add & subtract fractions. improper numbers