Math With AmarA C A D E M Y

Grade 2 · Foundations · 6 minute lesson

Find positions on a hundred line

Locate a number between labeled tens on an equally spaced number line.

Lesson 4 of 30 in Grade 2. Take the time you need; the lesson estimate is a guide.

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01 · Read and understand

What you will learn

  • Locate a number between labeled tens on an equally spaced number line.
  • Explain your method and check what the result means in the stated situation.

Before you start

Counting and comparing whole numbers, basic addition and subtraction, and recognizing simple shapes.

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 line marks 40 and 50 with ten equal unit steps between them. Where is 46?

Why this math matters

Read a scale by identifying how much each equal gap represents. 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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Find positions on a hundred line

Paused

Question: Start with the question. Paused.

Question

Start with the question

A line marks 40 and 50 with ten equal unit steps between them. Where is 46?

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

    50 − 40 = 10

    The ten intervals each represent one unit.

  2. Connect the parts

    46 − 40 = 6

    Move six intervals right from forty.

  3. State and check the result

    46 is 6 steps after 40 and 4 before 50

    Both distances agree because six plus four makes ten.

The result

46 is 6 steps after 40 and 4 before 50

Both distances agree because six plus four makes ten.

Common mistakes to catch

  • Ten tick marks do not necessarily create ten intervals.
  • Check the value of one interval before counting steps.

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

Which number is three unit steps after 70?

Show a hint

Add three to seventy.

Reveal answer and explanation

73

70 + 3 = 73.

Practice 2

How far apart are 58 and 64 on a unit number line?

Show a hint

Count intervals rather than tick marks.

Reveal answer and explanation

6 units

64 − 58 = 6.

Take the idea with you

Read a scale by identifying how much each equal gap represents.

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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Up next: Count by twos and fives

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