Fractions and Decimals Halve shapes and lengths, explaining it is half as big / long. Halve shapes, explaining halves are half as big / half the area. INVESTIGATIONS, REFLECTION AND PROBLEM SOLVING INVESTIGATION Have some paper squares, circles or strips. Divide them into half. Check if the parts are equal by superimposing and looking for gaps and overlaps Record your halves. How did you make your halves? Why is a half called a half? What is a half, half as big as? Reflection: What is a half? Have many of the same shape. Divide the shape into halves in different ways, for example, Check if your halves of the same shape are equal by cutting up one half and pasting it on the other half. Reflection: What is a half? Have shapes of different sizes. Divide them in half. Compare the areas of the shapes and the areas of the halves. Are all of the shapes and halves the same size? Which halves have a larger area? Why? Which halves have a smaller area? Why? Reflection: What is a half? Problem Solving William drew a circle, and coloured half of it blue. What might the circle look like? Problem Solving Mary covered half of her cake in chocolate icing, and half of her cake in strawberry icing. What could the cake look like? Problem Solving Susie cut a cake in half. What might the cake look like? Problem Solving How many different ways can you divide a square in half? Problem Solving These two halves are made from squares that are different sizes. Which half was made from the larger shape? How do you know?