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

Lesson 10.510.5 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can create and describe geometric designs using repetition, patterns, and rhythm, and use a pattern unit to predict what comes next — one step at a time, with support.

Remember10.5 Small Group · Group 1

Divide the shape number by the unit length and use the remainder to find the shape, where a remainder of 0 means the last shape. A pattern unit is the smallest part that repeats. Divide by its length to predict any 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 border repeats: star, heart, moon, star, heart, moon, and so on. What is shape number 10?

    Show your work

    Hint The unit is 3 shapes. 3 × 3 = 9, so shape 10 is the 1st shape of a new unit.

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

    Circle, square, triangle repeat in that order. What is shape number 31?

    Show your work

    Hint Divide 31 by 3. Use the remainder to find the place in the unit.

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

    Day 1 of a month is a Monday. The days of the week repeat every 7 days. What day of the week is day 17?

    Show your work

    Hint The pattern unit is 7 days, starting with Monday. Divide 17 by 7 and use the remainder.

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

    Circle, square, triangle repeat in that order. What is shape number 100?

    Show your work

    Hint You do not need to draw 100 shapes. How many complete units of 3 fit in 100?

    Final answer:

Explain your thinkingWhat does a remainder of 0 tell you? Use Lia's mistake about shape 24 to explain.

Sentence starter A remainder of 0 means the shape is the ___ shape in the unit. · Lia was wrong because ___.

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