Short Blocks

Maths Year 6 Spring Measures

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

Calculate areas of different shapes (suggested as 3 days)

Planning and Activities

Day 1 Teaching
Draw right-angled triangles and discuss how to find their areas by considering each as half of a rectangle. Demonstrate that this works for any triangle. Conclude area = half base × height.
Group Activities
-- Find the areas of rectangles and then divide these to find the areas of triangles.
-- Generalise how to find the area of right-angled triangles. Test with other types of triangle.

Day 2 Teaching
Show a set of quadrilaterals and identify parallelograms. Demonstrate how to find the area by dividing into 2 triangles and a rectangle. Find areas and derive formula after the activity.
Group Activities
-- Derive a formula for finding the area of a parallelogram.

Day 3 Teaching
Revise finding areas and perimeters of rectilinear shapes. Show some shapes with the same perimeter. Demonstrate that these have different areas. Can you approximate the area of a bedroom floor? The area of a village? The surface area of a little finger nail? One side of a sticky note?
Group Activities
Use the in-depth problem-solving investigation ‘Through the window’ from NRICH as today’s group activity.
Or, use this activity:
-- Use investigative strategies to find the dimensions of a rectangle of specified area. Investigate compound shapes.

You Will Need

  • Squared background on Interactive Whiteboard
  • Area of triangles sheet (see resources)
  • cm2 paper
  • A set of quadrilaterals on squared paper (see resources)
  • Scissors
  • Perimeter and area at https://web.archive.org
  • SATs-style practice questions (see download below)

Mental/Oral Maths Starters

Day 1
Area of rectangles (pre-requisite skills)

Suggested for Day 2
Times table bingo (simmering skills)

Suggested for Day 3
Perimeters of rectangles (simmering skills)

Worksheets

Day 1
Find the area of triangles and a compound shape made from triangles and a rectangle.

Day 2
Find areas of parallelograms.

Day 3
Draw rectangles with the same perimeter, but different areas.

Mastery: Reasoning and Problem-Solving

  • Find the area of the triangle (see download). The perpendicular height = 6cm and the base = 5cm
  • What is the area of the shape (see download)? The total length = 12cm and the base of the triangle is half the length of the rectangle. The triangle has two equal sides.
  • Draw two rectilinear shapes, one L-shaped and one T-shaped, with equal areas but different perimeters.

In-depth Investigation: Through the Window
The local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices? Through the Window from nrich.org.uk.

Extra Support

Folding Areas
Finding areas of rectangles and triangles