# Maths Year 5/6 Autumn Shape

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

## Quadrilaterals, other polygons and circles(suggested as 2 days)

### Planning and Activities

Day 1 Teaching
Children each draw a quadrilateral, then discuss similarities and differences. Name and explore properties of quadrilaterals using an online activity.
Group Activities: T with Y5
Y5 -- Tear the four vertices from a quadrilateral and arrange around a point to find the total angle. Investigate diagonals of quadrilaterals;
Y6 -- Use a sorting tree, Carroll or Venn diagram to sort quadrilaterals. Make a range of quadrilaterals using art straws and identify features.

Day 2 Teaching
Children write facts about shapes, then use facts to guess a mystery shape.
Further Teaching with Y6
Discuss radius, circumference and diameter. Describe relationship of diameter and radius as a ratio (2 to 1, 2:1).
Group Activities: T with Y6
Use the in-depth problem-solving investigation for this unit ‘Polygon dissections’ as today’s group activity.
Or, use these activities:
Y5 -- Investigate how many different polygons can be made by drawing five equilateral triangles next to one another.
Y6 -- Draw circles, measure diameters and circumferences with string and work out ratio (Pi is introduced).

### You Will Need

• Mini-whiteboards and pens
• Internet access
• Rulers, protractors, scissors and glue sticks
• ‘Quadrilateral sort’ (see Day 1 Practice sheets)
• ‘Quadrilateral sorting tree’ (see resources)
• Art straws
• ‘Shape game board’ (see resources)
• Additional activity sheets (see resources)
• Calculators, lengths of string and pairs of compasses

### Short Mental Workouts

Day 1
Find lines of symmetry

Day 2
Time intervals

### Worksheets

Day 1
Y6:
Identify and classify quadrilaterals. Discuss the geometric properties possible and not possible in a quadrilateral. Write down reasoning with diagrams.

Day 2
Y5: Identify polygons. Identify properties of polygons.
Y6: Look for relationships between radius, diameter and circumference. Calculate using the formula C = p x d.

### Mastery: Reasoning and Problem-Solving

Y5

• Is a semicircle a polygon?
• Draw a polygon and list five of its properties.

Y6

• Draw a circle and label the radius and diameter. Explain how you could find the diameter.
• Use damp string to measure the circumference of a small plate. Now measure its diameter and calculate the circumference. How accurate was your damp string measurement?