﻿ Angles in Polygons Year 6 Properties of Shape Resource Pack – Classroom Secrets | Classroom Secrets

# Angles in Polygons Year 6 Properties of Shape Resource Pack

## Step 9: Angles in Polygons Year 6 Summer Block 1 Resources

This Angles in Polygons Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Summer Block 1.

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### What's included in the pack?

This pack includes:

• Angles in Polygons Year 6 Teaching PowerPoint.
• Angles in Polygons Year 6 Varied Fluency with answers.
• Angles in Polygons Year 6 Decimals Reasoning and Problem Solving with answers.

#### National Curriculum Objectives

Mathematics Year 6 (6G2a) Compare and classify geometric shapes based on their properties and sizes

Mathematics Year 6: (6G4a) Find unknown angles in any triangles, quadrilaterals and regular polygons

Differentiation:

Varied Fluency
Developing Questions to support finding angles in polygons or angles on a straight line (triangles or straight lines identified for children on shapes and some angles given.)
Expected Questions to support finding angles in polygons, angles on a straight line or at a point (triangles or straight lines identified for children on shapes.)
Greater Depth Questions to support finding angles in polygons, angles on a straight line, angles at a point and vertically opposite angles (children expected to independently split shapes into triangles, find straight lines and opposite angles.) Include irregular polygons?

Reasoning and Problem Solving
Questions 1, 4 and 7 (Reasoning)
Developing Identify if a given answer is true or false, using understanding of how a quadrilateral can be split into triangles to work out the sum of the interior angles.
Expected Identify if a given answer is true or false, using understanding of how a polygon can be split into triangles to work out the sum of the interior angles.
Greater Depth Identify if a given answer is true or false, using understanding of how a polygon can be split into triangles to work out the sum of the interior angles. Explore more than one possibility.

Questions 2, 5 and 8 (Problem Solving)
Developing Recognise relationships between the number of sides of a polygon and the number of triangles it can be split into. Calculate the sum of the interior angles of more than one shape (triangles and quadrilaterals.)
Expected Recognise relationships between the number of sides of a polygon and the sum of the interior angles. Calculate the sum of the interior angles of more than one shape.
Greater Depth Recognise relationships between the number of sides of a polygon and individual interior angles. Use understanding of interior angles to find the sum of angles in more than one shape.

Questions 3, 6 and 9 (Reasoning)
Developing Prove how many triangles a polygon can be split into (quadrilateral or pentagon.)
Expected Prove that the sum of the interior angles of a given polygon will always be the same.
Greater Depth Prove that the sum of the exterior angles of any given polygon will always be the same and that vertically opposite angles will always be equal.