Grade 6 Mathematics · Unit 10: Math Is...Standard MPP.7

Lesson 10.510.5 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can create and describe geometric designs using repetition, patterns, and rhythm, and use a pattern unit to predict what comes next, explain how I can tell, and judge a case I have not seen before.

Remember10.5 Small Group · Group 2

The quotient counts complete pattern units and the remainder points to a shape in the next unit, so you can predict without drawing. Division with remainders can also count how many times one shape appears, not just name one shape.

Words: repetition (repetición)pattern (patrón)pattern unit (unidad del patrón)rhythm (ritmo)predictability (previsibilidad)

  1. 1Complete each step, then write the final answer.

    A new pattern unit has 4 shapes: circle, circle, square, triangle. What is shape number 30?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Circle, square, triangle repeat. How many squares are in the first 32 shapes?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Day 1 is a Monday. How many Fridays are in the first 40 days?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Shapes repeat: circle, square, triangle. Their colors repeat too: red, blue, green, yellow. Shape 1 is a red circle. What is the next shape number that is a red circle?

    Show your work
    Final answer:

Explain your thinkingTo find shape 3,000, would you draw the border or divide? Explain what the quotient and the remainder each tell you.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help