Patterns from a given rule

What else must be true?

Explain features that follow from a given rule.

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8 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. Begin with the supplied rule and starting value, block or design. A few shown examples alone can fit more than one possible rule.
  2. Look for an additional feature, such as odd and even values, repeating ones digits or a relationship between shape counts.
  3. Explain why the rule preserves or changes that feature. Pairing objects, counting complete blocks and matching equal arms can help.
  4. Check the whole claim. A term number does not tell you whether its value is odd or even, and a feature of complete blocks may fail partway through a block.

Something to notice

Ask the learner to explain a chosen feature without reading the answer options. Look for a reason based on the rule, rather than only a list of examples. Ask for a counterexample to an incorrect claim, such as every odd position in the square-square-circle-triangle pattern being a square. Selecting a supplied justification is practice; an explanation in the learner's own words shows more about their reasoning.

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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