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Grade 2 · Number lines

Community flowerpots: land on repeated equal jumps

A position marker at a community garden starts at 1 and makes 2 forward jumps of 5 units each. Change the controls and explain what the animation reveals.

Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.

Watch the relationship

Paused
Community flowerpots: land on repeated equal jumps. Start: 1. Current position: 1. Final position: 111 + 2 × 5 = 111611Current: 1Position = starting point + distance traveled.
The number line is uniformly scaled. Jumps are equal and forward; intermediate motion may pass through noninteger positions. Vertical decoration does not change the numerical position.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Start
1
Current position
1
Final position
11

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

Understand what you are seeing

The idea behind the motion.

A position marker at a community garden starts at 1 and makes 2 forward jumps of 5 units each. Equal-size jumps represent repeated addition. Starting at a nonzero position adds an initial amount that must be kept separate from the distance traveled. The travel covers 10 units, but the endpoint is 11 because the marker began at 1.

A relationship to keep

1 + 2 × 5 = 11

Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.

  1. STEP 1

    Read the starting situation

    A position marker at a community garden starts at 1 and makes 2 forward jumps of 5 units each. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Follow the moving point across the line. The point's position is the start plus the fraction of the total travel completed. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The travel covers 10 units, but the endpoint is 11 because the marker began at 1. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Community flowerpots: use the original situation. A position marker at a community garden starts at 1 and makes 2 forward jumps of 5 units each. Where would the marker finish after one more jump of the same size?

Use the values specified in the question. Reset restores the initial values for this investigation.

Compare your explanation

16. Add another 5 to the original endpoint 11.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 2 · Algebra

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