Combining Angle Facts | I Do, We Do, You Do | Year 8 Maths | Print Free

Teach combining angle facts with this editable, 61-slide Year 8 maths PowerPoint. Pupils connect angles on a straight line, angles around a point, vertically opposite angles, triangle totals and quadrilateral totals.

Designed for print-free teaching: pupils record calculations, angle sizes and explanations in exercise books or on mini-whiteboards. Shared diagrams provide the information needed, so pupils do not need printed worksheets or copied figures.

WHAT IS INCLUDED?
• One editable PowerPoint containing 61 slides.
• Six retrieval questions with grouped answers.
• Six prerequisite questions with grouped answers.
• Illustrated vocabulary covering interior, exterior, adjacent and vertically opposite angles, vertices, reflex angles, apex angles and base angles.
• Teaching examples combining two or more angle facts.
• Six matched I Do/We Do examples with worked answers.
• Twenty AFL questions, each immediately followed by its answer slide.
• Twenty-four minimally different practice questions with answers.
• Eight Developing, eight Secure and five Greater Depth questions, plus a two-part Super Challenge, on one page.
• Worked answers for all differentiated tasks and the challenge.

MODELLING AND GUIDED PRACTICE
The six examples form three matched pairs: (1) with (4), (2) with (5), and (3) with (6). Pupils combine a straight-line fact with a triangle total, use vertically opposite angles before a triangle total, and connect an isosceles triangle with a quadrilateral. Separate teaching demonstrates how a reflex angle outside a triangle combines with its interior angle to make a full turn.

PRACTICE AND PROGRESSION
The main practice page contains three shared figures with eight questions for each. One given angle changes in small steps. Pupils calculate two unknown angles. The figures cover an extended triangle side, crossing lines and an isosceles triangle within a quadrilateral.

Developing uses different given angles from the main practice. Secure reverses the calculations, introduces equal and related unknowns, and asks how changing one angle affects the others. Greater Depth includes impossible angle values, correcting a mistaken angle fact, testing whether two angles can both be obtuse, and justifying an isosceles-triangle claim.

SUPER CHALLENGE
Pupils prove that an exterior angle of a triangle equals the sum of the two non-adjacent interior angles. They then decide whether equal exterior angles at two different vertices force the triangle to be isosceles. The worked solution connects equal exterior angles to equal interior angles and equal opposite sides.

CLASSROOM PRESENTATION
Editable diagrams use angle arcs, clear labels and matching side ticks. Reflex and split angles are marked separately. Diagram pages state that figures are not drawn to scale. Compact headings preserve task space, and a divider separates the Super Challenge from the other levels.

Suitable for Year 8, KS3 consolidation, tutoring and revision. Topic reference: M319.