Key Stage 3 Mathematics Key Facts Level 6

Key Stage 3 Mathematics Key Facts Level 6

Level 6 Number and Algebra Week 1 • Trial and improvement based on algebra • Expressing amounts as a percentage • Equivalence between Fractions, Decimals and Percentages. • Ratio

Solve the equation x³ + x = 20 Using trial and improvement discover the value of x to the nearest tenth. NB – You will not get the exact solution We are looking for the nearest tenth. Guess Check Too Big/Too Small/Correct

Solve the equation x³ + x = 20 Using trial and improvement and give your answer to the nearest tenth Guess 3 Check 3³ + 3 = 30 Too Big/Too Small/Correct Too Big

Solve the equation x³ + x = 20 Using trial and improvement and give your answer to the nearest tenth Guess Check Too Big/Too Small/Correct 3 3³ + 3 = 30 Too Big 2 2³ + 2 = 10 Too Small

Solve the equation x³ + x = 20 Using trial and improvement and give your answer to the nearest tenth Guess Check Too Big/Too Small/Correct 3 3³ + 3 = 30 Too Big 2 2³ + 2 = 10 Too Small 2. 5³ + 2. 5 =18. 125 Too Small 2. 5 2. 6

Now Try: Solve the equation x³ + x = 8 Using trial and improvement and give your answer to the nearest tenth Remember you will not get the exact answer. Guess Check Too Big/Too Small/Correct

Amounts as a % • Fat in a mars bar 28 g out of 35 g. What percentage is this? Write as a fraction • =28/35 top ÷ bottom converts a fraction to a decimal Convert to a percentage (top ÷ bottom x 100) • 28 ÷ 35 x 100 = 80% Multiply by 100 to make a decimal into a percentage

Amounts as a % • Now try these: • 36 g out of 180 g • 12 children out of 96 • £ 15 out of £ 60

A percentage is a fraction out of 100

Now try to make your own triangles using the following please: • 3/10 • 12. 5% • 0. 28

The ratio of boys to girls in a class is 3: 2 Altogethere are 30 students in the class. How many boys are there?

The ratio of boys to girls in a class is 3: 2 Altogethere are 30 students in the class. How many boys are there? The ratio 3: 2 represents 5 parts (add 3 + 2) Divide 30 students by the 5 parts 30 ÷ 5 = 6 (divide) Multiply the relevant part of the ratio by the answer (multiply) 3 × 6 = 18 boys

Now try these: The ratio of boys to girls in a year group is 4: 3 Altogethere are 210 students in the year group. How many boys are there? The ratio of flour, sugar and butter in a recipe is 1: 3: 5 Altogethere are 360 g of ingredients used. How much sugar was used?