Teaching and Group Activities for Understanding
Day 1 Teaching
Using different-shaped pieces of paper. Use these to demonstrate tearing into halves, and then tearing each half in two to get quarters. Demonstrate, using different shapes, and asking how each one can be divided into thirds. Use a strip of 8 shapes to divide into halves and quarters to show 1/4 of 8 = 2.
-- Place counters on each half/third/quarter of strips of paper to find fractions of amounts.
-- Fold strips of 12 and 24 objects to find 1/2, 1/3 and 1/4 of 12 and 24.
Day 2 Teaching
Children fold a strip of 7 objects (see resources) in half. Point out each half. Write: 1/2 of 7 is 31/2. Children, in pairs, make a tower of 26 cubes, then break it to find 1/2 of 26. Record. Discuss a jotting. Use a similar jotting to find half of 15.
-- Investigation: Children use cubes to help find half of odd and even numbers, and discuss what they notice.
Day 3 Teaching
Make 46 using place value cards. Split it to show 40 and 6. Ask half the class to halve 40, and the other half to halve 6. Children take the correct place value card. Put the two cards together to show that half of 46 is 23. Repeat to halve 58 and 74.
-- Investigation: Pick a number to start with. If the number is even, halve it; if the number is odd, add 1. Keep going until they get to 1. Try to make the longest and shortest halving chains possible.