Patterns from a given rule

A fresh pattern challenge

Apply the same reasoning to new rules, blocks and stages.

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8 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. Read the new starting value or block carefully. A familiar-looking question may use a different rule.
  2. For number patterns, keep term 1 fixed and count one rule application for each move to the next term.
  3. For repeating shapes, preserve the new block's order and repeated slots. Count only the positions the question requests.
  4. For the four-arm design, extend every arm to the requested stage and count the center once.
  5. Explain a feature using the new rule. Check that your reason still works when the starting value, block or requested position changes.

Something to notice

Let the learner begin a fresh question without a worked example. Ask what changed from an earlier task and which reasoning still applies. Look for careful reading of the new rule, correct position counting, complete shape counts and equal-arm construction. Revisit a new example on another day and invite a spoken or drawn explanation. This practice samples new examples in these pattern families; it does not establish understanding of every kind of pattern.

Try it. Change it. Explain it.

Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.

You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.

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Curriculum connection

Grade 4 · 4.OA · US Common Core

4.OA.C.5

This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.

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