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Grade 5 · Patterns

Wildlife-survey samples: predict an additive number pattern

A planning table for a wildlife field study begins at 2, adds 2 each time, and lists 5 terms. 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
Wildlife-survey samples: predict an additive number pattern. Terms revealed: 0. Added each time: 2. Term 5: 10Start 2 · add 2 each time246810Term 5 uses 4 additions, not 5.
This investigation explicitly uses an additive rule. A finite list alone can fit many rules, so the stated starting value and constant increment determine the continuation.

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.

Terms revealed
0
Added each time
2
Term 5
10

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 planning table for a wildlife field study begins at 2, adds 2 each time, and lists 5 terms. An additive pattern has a constant difference between neighboring terms. The first term already exists, so reaching term n requires n minus one additions, not n additions. Term 5 is 10, after 4 increments of 2. A different starting value shifts every term by the same amount.

A relationship to keep

Term n = 2 + (n − 1) × 2

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 planning table for a wildlife field study begins at 2, adds 2 each time, and lists 5 terms. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Reveal the terms from left to right. Compare consecutive differences before predicting the final term from the rule. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    Term 5 is 10, after 4 increments of 2. A different starting value shifts every term by the same amount. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Wildlife-survey samples: use the original situation. A planning table for a wildlife field study begins at 2, adds 2 each time, and lists 5 terms. What is the next term after the displayed 5 terms?

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

Compare your explanation

12. Add 2 once more to 10.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 5 · Algebra

Compare two rules in a table

Relate outputs of two multiplication patterns.