Mental multiplication and division and ratio - Teaching Presentation - Year 6

This presentation provides two days of teaching that cover the objectives:

• Multiply and divide decimals by whole numbers.
• Solve ratio problems.
• Solve problems involving similar shapes where the scale factor is known.

It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards.

Day 1 Teaching
Children to list all the factors of 42. Take 1 pair of factors, e.g. 6 and 7. If we know 6 × 7 = 42, what is 6 × 0.7? 6 × 0.07? What is 24 ÷ 6? 2.4 ÷ 6? 0.24 ÷ 6? Children use factors 3 and 12 to generate a similar list of facts, beginning 3 x 12 = 36. Children find 3 × 425, then use this to work out 3 × 42.5 and 4.25, then find 126 ÷ 6 and use to work out 12.6 ÷ 6 and 1.26 ÷ 6. Share ‘Top Tip for Tests’.

Day 2 Teaching
Draw a rectangle measuring 40cm by 20cm. Label the length of the longer side. The ratio of the longer side to the shorter side of this rectangle is 2 to 1. Children write length of shorter side answers on w/bs. Measure to check. Children draw a rectangle with same ratio of sides. Repeat for 20cm by 30cm rectangle. Share ‘Top Tip for Tests’.

This teaching is part of Hamilton’s Year 6 Revision block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.