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Grade 4 · Foundations · 8 minute lesson

Measure turns in degrees

Relate full, half, and quarter turns to degree measures.

Lesson 21 of 30 in Grade 4. Take the time you need; the lesson estimate is a guide.

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01 · Read and understand

What you will learn

  • Relate full, half, and quarter turns to degree measures.
  • Explain your method and check what the result means in the stated situation.

Before you start

Multiplication and division facts, simple fractions, place value, and basic length and area measurement.

Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.

Start with a question

A robot turns a quarter-turn right, then a half-turn right. How much has it turned in total?

Why this math matters

Describe motion using degrees instead of vague phrases such as a little or a lot. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Hands-on mathematics materials for exploring numbers, shapes, and measurement
Make a representation of your own.Sketch the quantities or relationships in this question before working through the solution. The cover image sets the learning scene; it does not show this problem’s exact values.

Set up the model

A useful answer starts with clear assumptions:

  • Use the units, grouping rules, and reference whole stated in the question.
  • Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.

02 · Work through the example

Follow the reasoning, one step at a time.

Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.

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The complete worked example, one idea at a time.

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Measure turns in degrees

Paused

Question: Start with the question. Paused.

Question

Start with the question

A robot turns a quarter-turn right, then a half-turn right. How much has it turned in total?

Before you calculate

Read what is known and what you need to find. Make a prediction before moving to the first calculation.

Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.

Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.

  1. Represent the situation

    Quarter-turn = 90°

    Four equal quarter-turns make a full 360° turn.

  2. Connect the parts

    Half-turn = 180°

    A half-turn consists of two quarter-turns.

  3. State and check the result

    90° + 180° = 270° clockwise

    Three quarter-turns describe the accumulated rotation.

The result

90° + 180° = 270° clockwise

Three quarter-turns describe the accumulated rotation.

Common mistakes to catch

  • Final orientation and total rotation are different quantities.
  • State turn direction when it matters.

03 · Practice independently

Try it before revealing the answer.

Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.

Practice 1

What is one sixth of a full turn?

Show a hint

Divide 360 by six.

Reveal answer and explanation

60°

Six equal sixty-degree turns complete a full rotation.

Practice 2

Is a 360° turn the same amount of rotation as zero degrees?

Show a hint

Distinguish final direction from distance turned.

Reveal answer and explanation

No, although the final direction matches

A full turn includes one complete rotation; zero includes none.

Take the idea with you

Describe motion using degrees instead of vague phrases such as a little or a lot.

04 · Reflect and continue

Can you explain it in your own words?

Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.

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