Calculating Angles at a Point — Interactive Lesson (Year 5–6)

What do the angles around a single point always add up to? This 11-slide interactive lesson teaches calculating angles at a point using one reliable fact: they always sum to 360 degrees.

Mastering Calculating Angles at a Point in Year 5–6 Maths

Pupils apply the properties of angles at a point to calculate unknown angles, learning that angles at a point add up to 360 degrees because there are 360 degrees in a full turn. They use this to find a missing angle when one is given, such as 360 minus 125 equals 235, work through diagrams with several unknown angles labelled with letters, and solve a real-life problem finding the size of two equal unknown angles either side of a punch bag hung on a washing line.

What’s Included

• 11-slide interactive lesson on calculating angles at a point
• Learning objective on applying the 360-degree angle fact
• Worked examples finding a single missing angle
• Diagrams with several unknown angles to calculate
• A real-life punch-bag problem with instant feedback

Key Benefits for Students

• Gives pupils one reliable fact to apply confidently
• Builds up from simple to multi-angle diagrams
• The real-life example makes the rule memorable
• Instant feedback on answer questions

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• A concise lesson that fits a single session
• Self-marking questions support independent practice
• Suits teaching, revision and homework
• A dependable foundation before angles on a straight line

Love this? You’ll love…

• Classifying Angles — Interactive Lesson (Year 5)
• Short Division — Interactive Lesson (Year 5–6)
• Columnar Addition — Interactive Lesson (Year 5)

A dependable addition to a Year 5–6 geometry topic, giving pupils a single, reliable angle fact they can apply to a wide range of diagrams. Confidence here supports angles on a straight line and in polygons later on.

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FAQs

What year group is this for?
Years 5–6 (ages 9–11), KS2.

What is the key fact used?
Angles at a point always add up to 360 degrees.

Is it self-marking?
Yes, with instant feedback on the questions.