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Grade 2 · Addition

Nature-trail markers: add through a new ten

At a nature trail, a first group contains 81 trail markers and another group brings 34 trail markers. 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
Nature-trail markers: add through a new ten. Starting amount: 81. Joined so far: 0. Current total: 8181 + 0 = 81011581combined so farKeep the first part; add only the part that arrives.
The quantities are invented for this investigation. Controls change the model rather than real-world records. Displayed decimals are rounded; whole-number counts are exact.

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.

Starting amount
81
Joined so far
0
Current total
81

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.

At a nature trail, a first group contains 81 trail markers and another group brings 34 trail markers. Addition joins two disjoint groups. Keep the starting group in the count while the second group arrives; the result includes every object from both groups. The final 115 can be checked by removing the 34 arrivals and recovering 81. For larger totals the bars summarize quantities rather than drawing every object.

A relationship to keep

81 + 34 = 115

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

    At a nature trail, a first group contains 81 trail markers and another group brings 34 trail markers. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Scrub from no arrivals to all arrivals. The current total grows by the number of objects that have joined so far. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The final 115 can be checked by removing the 34 arrivals and recovering 81. For larger totals the bars summarize quantities rather than drawing every object. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Nature-trail markers: use the original situation. At a nature trail, a first group contains 81 trail markers and another group brings 34 trail markers. If one extra object joins the second group, what is the final total?

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

Compare your explanation

81 + (34 + 1) = 116. One additional arrival increases the total by one.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 2 · Algebra

Trade ten ones when adding

Regroup ten ones as one ten in two-digit addition.