### Teaching and Group Activities for Understanding

**Day 1 Teaching**

Children list all the factors of 36. Take 1 pair of factors, e.g. 9 and 4. If we know 4 × 9 = 36, what is 4 × 90? 4 × 900? 4 × 9000? What is 36 ÷ 9? 360 ÷ 9? 360 ÷ 90? 3600 ÷ 9? Children use 1 other pair to generate a similar list of facts using place value. Children work out 2 × 456 and 10 × 456; then use to derive other facts, e.g. 4 × 456, 5 × 456, 20 × 456 and associated divisions. End by creating today’s ‘Top Tip for Tests’.**Group Activities**

-- Find factors and common multiples. Apply strategies for mental multiplication and division.

**Day 2 Teaching**

Show a worked example of 24 × 2153. Children working towards ARE work out 20 × 2153 and 4 × 2153, then add. Rest of class look at worked example to spot error – untidy work has led to wrongly adding the ‘carry’ figures in the addition at the end. End by creating today’s ‘Top Tip for Tests’.**Group Activities**

-- Round numbers to estimate products. Select an appropriate method for accurate written multiplication.

-- Select an appropriate method for accurate written multiplication.

**Day 3 Teaching**

Write 496 ÷ 3, 496 ÷ 6, 496 ÷ 12 and 896 ÷ 3. Children discuss which will have the smallest/biggest answer and why. Each quarter of the class work out 1 of the divisions using short division. A child from each group shows how they found the answer. Help to write each remainder as a fraction, simplifying where possible. End by creating today’s ‘Top Tip for Tests’.**Group Activities**

-- Divide 3-digit and 4-digit numbers by a single digit, using short division.

**Day 4 Teaching**

Martin the florist is making up bunches of 15 roses. He has 1250 roses in stock. How many bunches can he make? Remind children that making a list of multiples of the divisor is helpful for long division. Record this as today’s ‘Top Tip for Tests’. Model long division. The answer to the calculation is 83 r 5, but what is the answer to the question? Repeat with another problem.**Group Activities**

-- Use multiples of 15 to divide numbers between 150 and 1000 by 15.

-- Solve problems using long division. Decide how to handle remainders.