Short Blocks

# Maths Year 4 Summer Measures and Data (B)

Each unit has everything you need to teach a set of related skills and concepts.

## Find the area of rectilinear shapes(suggested as 2 days)

### Planning and Activities

Day 1 Teaching
Draw an 8 × 5 rectangle on IWB squared background. Explain that its area is the amount of paper it covers and that we measure this in square units. If each square measured one centimetre by one centimetre, we would call each square one square centimetre: 1cm². Give each child cm² paper. They draw a 5cm × 4cm rectangle. What is its area? Can you draw a different rectangle with an area of 20 whole squares? Now have a go at drawing a shape with an area of 20cm² that is not a rectangle…. Compare shapes. They look different, but all have the same area.
Group Activities
-- Find the area of book covers by counting squares.
-- Calculate areas. Draw rectangles with a given area.

Day 2 Teaching
Remind children how to find the area of a 6 × 4 rectangle by counting the rows and multiplying. Draw a rectilinear L shape (using two rectangles 6 × 4 and 2 × 6). Discuss how we can count the squares it covers to find the area. We can sometimes use a mixture of calculation and counting. Divide the shape into two rectangles and demonstrate how to find the area by adding the two areas.
Draw a second rectilinear shape and model dividing it into rectangles to find its area.
Group Activities
Use the ‘Pete’s pond problem’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Divide rectilinear shapes into rectangles to support finding the area.

### You Will Need

• Cm² paper
• Selection of books of different sizes
• Rulers
• ‘Find the area’ (see resources)
• Colouring pencils

### Mental/Oral Maths Starters

Suggested for Day 1
8 times table (simmering skills)

Suggested for Day 2
9 times table (simmering skills)

### Worksheets

Day 1
Find the area of rectangles by counting squares.

Day 2
Find the area of rectilinear shapes.

### Mastery: Reasoning and Problem-Solving

• John has a rectangular bookmark. It measures 20cm × 6cm.
Draw it and find its area. It is too long for his book, so he cuts 1cm off the bottom. What is its area now?
• Tanya has a silk scarf. It measures 60cm × 30cm. Is its area more or less than 100cm²?
• Find the area of this shape. Each little square is a 1 centimetre square.

In-depth Investigation: Pete's Pond Problem
Children apply knowledge of perimeter and area to make a generalisation and help Pete to fence around his pond.

### Extra Support

Polyominoes
Investigating rectilinear shapes and investigating systematically