Year 9 Intermediate Term 3

Transcription

1 Year 9 Intermediate Term 3

2 Year 9 - Term 3: Intermediate Overview Objectives Topic LOW - Convert between -Increase/decrease an Fractions, Decimals & Percentages -Add & subtract fractions. improper numbers & mixed fractions. amount by a given percent. (Non-calc) Big Questions - Is this always true. Dividing by a decimal gives you a smaller answer. -Calculate with mixed numbers. - Compare fractions, decimals and percentages. -Express one quantity of - Multiply and divide fractions. - Multiply and divide decimals. - Find a fraction of an amount. - Compare & order fractions. another as a percent- - Express one quantity as age. (Non-Calculator). a percentage of another. (With Calculator). -Find a percentage of an amount (Non calc). Topic - Solve simultaneous - Use y=mx+c to identify - Identify the turning Sequences, Functions & Graphs equations graphically. - Recognise and use se- the equation of a line. - Use y = mx + c to identi- point of a quadratic by sketching the graph. Big Questions - Show me two simultaneous equations with a solution x = 2 and y = Show me a coordinate that lies on the graph y=2x²- 2 quences of triangular, square and cube numbers and Fibonacci type sequences. -Calculate the mid-point of a line. fy 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. - Complete the square of a quadratic to calculate its turning point. - Geometric progression. Topic - Solve problems - Divide quantities by - Calculate similar shape Ratio & Proportion involving recipes. simple ratios. involving length. Big Questions - Which is the best buy? - Show me a question that can be solved using the unitary method. - Introduction to proportion. - Calculate the best value of a product. - Write ratios as a fraction. - Use ratio to convert between currencies. Use ratio to solve problems about exchange rates. - Calculate similar shape involving area & volume. - What is the same / different: -Relate ratios, fractions and graphs to each - 4:5 and 4:500p other. - 2:3, 34:51 and 3:2 - The answer is 350 and 450. What is the question?

3 FRACTIONS, DECIMALS AND PERCENTAGES KNOWLEDGE ORGANISER Number of years

4 HWK 1 - Term 3: Year nine I - Fractions, Decimals and Percentages Due.. Week 2 1) Work out ) Write as a mixed number 5/3 2) circle the decimal which is equal to one-quarter 3) circle the decimal which is equal to one-fifth 0.6, 0.25, 0.2, 0.3, 0.4 4) Simplify the following fractions: 4/12, 3/9, 8/12 5) Simplify the following fractions 7/21, 9/27, 8/64, 35/49 11) Work out 3 x 4/5 as a mixed number 12) Write 7/9 + 8/9 as a mixed number 13) what is 7/9 x 3 as a mixed number? 14) (Without calculator) if 10% of 300 is 30; what is 30% of 300? 6) What is 32% of ) which is bigger: 40% of 200 or 1/3 of 240? 7) what is 40% of 300? 16) Write as a fraction 8) Write 75% as a fraction 17) Which is bigger, 70% of 200 or ¾ of 160? 9) Which is bigger, 80% of 150 or ¾ of 200? 18) Which is bigger, 30% of 110 or ¼ of 180?

5 Sequences, Functions and Graphs y = mx + c

6 HWK 2 Term 3: I Sequences, Functions and Graphs Due Week 4 1. (a) Find the point of the graph that is needed to make an isosceles triangle. (b) Plot the following horizontal and vertical lines on the graph: I. X=1 II. Y=3 2. (a) Complete the table of values for y=2x+1 5. 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+14. (a) Complete the table of values for y=2x+1 (b) 3. (a) On Complete a separate the sheet table of of paper. values Draw for the graph y=x 2 +x of y=2x+1 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 A. Y = (b) On a separate sheet of paper. Draw the graph of y=x 2 +x 4. A line passes through the point (0,4). The gradient of this line is 2. Write down the equation of this line. B. X = 6) Write down the equation of the line which is parallel to the line with equation x +2y = 6 and passes through the point with coordinates (0,7)

7 RATIO & PROPORTION KNOWLEDGE ORGANISER

8 HWK 3 - Term 3: Year nine I - 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 make 300ml of drink. 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 rectangle B