Math lesson plan · 4th grade (Year 5 in England) · 30 minutes
Angles as fractions of a full turn
Geometry
CCSS 4.MD.C.5.ACCSS 4.MD.C.5.BEngland: Y5 Geometry
Objective and success criteria
Students will: Angles as fractions of a full turn.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Turns and compass directions; Angles: types and measuring
Leads to: the next skill in this area.
Materials: Rulers and protractors, Squared or dotted paper, Shape cut-outs, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Turns and compass directions; Angles: types and measuring). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Sam faces West and makes a quarter turn clockwise. Which direction is Sam facing now? (North / East / South / West) → NorthPrompt: Clockwise goes North → East → South → West.
- What type of angle is 90°? (acute / right / obtuse / straight / reflex) → rightPrompt: Compare with a right angle (90°) and a straight line (180°).
- How many degrees is a quarter turn? → 90Prompt: A full turn is 360°.
Hook · 3 min
- Show a photo of a building, a tile pattern or a road sign and ask what shapes and angles students can spot.
- Share the objective: Angles as fractions of a full turn. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: What angle, in degrees, is 5/12 of a full turn?
- Step 1: 360 ÷ 12 = 30
- Step 2: 30 × 5 = 150°
- Answer: 150
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- What angle, in degrees, is 1/6 of a full turn? → 60Prompt: A full turn is 360°.
- How many 40° angles fit together to make a full turn? → 9Prompt: A full turn is 360°.
You do: independent practice · 7 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- What angle, in degrees, is 1/3 of a full turn? → 120Prompt: A full turn is 360°.
- How many 30° angles fit together to make a full turn? → 12Prompt: A full turn is 360°.
Watch out for
- Thinking a square turned on its corner is no longer a square.
- Reading the wrong scale on a protractor.
Support and stretch
Support
- Review first: Turns and compass directions.
- Use concrete materials: rulers and protractors.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-4.
Free lesson plan from eurekami.com/lesson-plan-builder