Short Blocks

# Maths Year 3/4 Summer Measures and Data

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

## Area and Perimeter(suggested as 3 days)

### Planning and Activities

Day 1
Model and explore finding the area of a rectangle by counting squares, then by using number facts to multiply the number of squares in a row by the number of rows.
Further Teaching with Y4
Model finding areas of rectilinear compound shapes by splitting them into rectangles.
Group Activities: T with Y3
Y3 -- Find the area of book covers by counting squares, then by calculating.
-- Calculate areas. Draw rectangles with a given area.
Y4 -- Divide rectilinear shapes into rectangles to support finding the area.

Day 2
Model finding the perimeter of a rectangle by measuring all four sides, then adding. Introduce measuring just the length and width of the rectangle and using a doubling and adding strategy to find the perimeter.
Group Activities: T with Y4
Y3 -- Measure the perimeter of 2-D shapes using cm.
-- Calculate the perimeter of 2-D shapes using cm.
Y4-- Find the perimeter of a range of rectangles. Some children draw rectangles with a given perimeter.

Day 3
Revise how to find perimeter. Draw different rectangles with an area of 16cm2, then explore to determine which has the least/greatest perimeter. Draw a sequence of squares: 1cm × 1cm, 2cm × 2cm, 3cm × 3cm. Find the perimeter and area of each; reason about number patterns.

Group Activities: T with Y3
Y3/4 -- Explore patterns and relationships between the perimeter and area of squares and rectangles.

### You Will Need

• cm2 paper
• Mini-whiteboards and pens, colouring pencils
• Interactive whiteboard squared background
• Selection of books of different sizes
• Rulers, tape measures, metre stick
• Paper, pencils, scissors
• ‘Find the area’ Sheets 1 and 2 (see resources)
• Ruler ITP
• ‘Find the perimeter’ (see resources)
• 2-D shapes

### Short Mental Workouts

Day 1
8 Times table

Day 2
Choose suitable units of measure for a range of items

Day 3
I’m thinking of a rectangle ...

### Worksheets

Day 1
Y3 Rectangle areas.
Y4 Rectilinear areas.

Day 2
Y3 Calculate the perimeter of regular shapes.
Y4 Perimeter of rectangles.

Day 3
Y3 Calculate the perimeter of rectangles by doubling.
Y4 Area and perimeter.

### Mastery: Reasoning and Problem-Solving

Y3

• John has a rectangular bookmark. It measures 12cm × 5cm. Draw the bookmark and find its perimeter and area.
The bookmark is too short for John’s book, so he joins two identical bookmarks together, end-to-end. What is the perimeter and area now?
• Find a large book (e.g. an atlas). Write its perimeter in 2 different ways, e.g. using m and cm or cm and mm.
• This rectangle (see download) has a side of 10cm and a perimeter of 36cm.
What is the length of its shorter side?
• A room measures 4 metres by 3 metres. What is its perimeter?
If another room has walls half as long, is its perimeter also half?

Y4

• John has a rectangular bookmark. It measures 15cm × 6cm. Draw the bookmark and find its perimeter and area.
The bookmark is too short for his book, so he joins two identical bookmarks together, end-to-end. What is the perimeter and area now?
• Tanya has a silk scarf. It measures 60cm × 30cm. Is its area more or less than 100cm²?
• This rectangle (see download) has a side of 13cm and a perimeter of 40cm.
What is the length of its shorter side?

Y3 and Y4 In-depth investigation
As Day 3 Group activity investigation

### Extra Support

Y3 Old Measures
Measuring lengths in centimetres and finding the difference between two lengths by counting up.

Y4 Maths on the Edge
Calculating perimeters.