Angles and Turns

Overview

This 60-minute lesson is the third in the unit Year 4 Maths Across Aotearoa. Learners build on their understanding of direction and movement by recognising right angles and describing quarter-, half- and three-quarter-turns as clockwise or anticlockwise. They use body movement, rotating arrows and a corner template before applying their learning in a Turn and Angle Trail.

Learning intentions

• WALT recognise and identify a right angle.
• WALT describe quarter-, half- and three-quarter-turns.
• WALT use the words clockwise and anticlockwise accurately.
• WALT sort angles as acute, right or obtuse.

Success criteria

• I can identify a right angle using a corner template or square corner.
• I can show and describe a quarter-turn, half-turn and three-quarter-turn.
• I can say whether a turn is clockwise or anticlockwise.
• I can sort angles as acute, right or obtuse and explain my thinking.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge learners and deepen understanding.
• Mathsteasers / Alignment: mathematical challenge is connected to relevant textbook learning and prior classroom content.
• Additional resources for advanced learners: opportunities to reason, explain, compare and justify mathematical ideas.
• Mathematical practices: using representations, communicating mathematical thinking and solving unfamiliar problems collaboratively.

Lesson structure (60 minutes)

1. 0–7 min · Hook and movement warm-up. Teacher displays a compass-like arrow and asks, “If the arrow turns to face the opposite direction, how far has it turned?” using the opening movement challenge; students stand beside their desks and follow quarter-, half- and three-quarter-turn instructions, first without labels and then with a partner.

2. 7–17 min · Model angles and turns. Teacher uses a square corner template and the angle and turn explanation slides to model that a right angle is a square corner, a quarter-turn is 90°, a half-turn is 180° and a three-quarter-turn is 270°. Demonstrate clockwise as turning the same way as the hands of a clock and anticlockwise as turning the other way. Students make each turn with their bodies, hands or a rotating arrow, then tell a partner the size and direction of the turn.

3. 17–25 min · Guided checking. Teacher shows arrows in different starting positions and asks, “What turn has happened? How do you know?” Pause after each example in the guided arrow questions and address the misconception that a turn’s name depends on where the arrow finishes. Students hold up fingers for quarter, half or three-quarter-turn, indicate clockwise or anticlockwise with a hand signal, and justify one answer.

4. 25–43 min · Turn and Angle Trail. Teacher places or displays a sequence of arrow and angle stations around the room, gives each pair a recording sheet from the Turn and Angle Trail worksheet, and models completing the first station. Students work in pairs, taking turns as “turner” and “checker”: they follow or demonstrate each direction, record the turn size and direction, identify right angles, and sort pictured angles as acute, right or obtuse. Encourage learners to rehearse physically before writing.

5. 43–52 min · Must Do, Can Do, Try. Teacher pauses the class for a three-level check: Must Do—identify a right angle; Can Do—show a half-turn; Try—sort angles as acute, right or obtuse. Use the Must Do, Can Do and Try prompts and select several learners to demonstrate. Students complete the level that matches their confidence, then explain one answer to a partner using “I know because…”.

6. 52–60 min · Plenary and exit check. Teacher revisits the opening arrow challenge with the final reflection prompts and asks learners to compare two possible descriptions of the same movement. Students complete the final three questions on the Turn and Angle Trail worksheet: draw a right angle, describe a 180° turn, and label one angle acute, right or obtuse. Invite two learners to share different strategies.

Resources

• the angles and turns slide deck
• the Turn and Angle Trail worksheet
• Square corner templates or card right-angle finders
• Large rotating arrows
• Small arrow cards or pencils for pairs
• Open floor or clear classroom pathways
• Blu tack or cones for marking trail stations
• Pencils, erasers and highlighters
• Clock face or analogue clock image

Assessment

• Listen for accurate use of quarter-turn, half-turn, three-quarter-turn, clockwise and anticlockwise during movement and partner explanations.
• Check the trail recording sheets for correct identification of right angles and accurate angle sorting; ask learners to demonstrate where reasoning is unclear.
• Use the final worksheet questions as an exit check. Record learners who need further practice identifying a right angle or distinguishing clockwise from anticlockwise.

Differentiation

• Support learners with a large arrow, a visible clock face, a square corner template and repeated body rehearsal before recording an answer.
• Pair learners strategically and provide the sentence frames “It is a ___-turn because…” and “It is ___ because…”.
• Reduce visual clutter by presenting one arrow or angle at a time, allow extra processing time, and read instructions aloud for learners who need it.
• For learners ready for challenge, ask them to find two different ways to describe a movement, create a trail instruction for a partner, or explain why an angle is acute, right or obtuse without using the template.