Math is Boundless

MPP.7 · Unit 10 · Lesson 5

Name   Period

Objectives / Objetivos

Content Objective: I can create and describe geometric designs using repetition, patterns, and rhythm, and use a pattern unit to predict what comes next.

Language Objective: I can describe a design using the words repetition, pattern, pattern unit, and rhythm.

Key Idea / Idea clave

Tessellations, Geometry & Mathematical Art. 1. Tessellation: Repeating pattern of polygons covering a plane with zero gaps and no overlaps. 2. Interior angles around every vertex must sum to exactly 360°. 3. Use translations, rotations, and reflections to generate symmetrical tile patterns

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
repetition
repetición		The same object, shape, or form repeated multiple times.
El mismo objeto, figura o forma repetido varias veces.
pattern
patrón		A set of objects or shapes that are repeated and arranged in a regular order.
Un conjunto de objetos o figuras que se repiten y se organizan en un orden regular.
pattern unit
unidad del patrón		The smallest chunk of a pattern that repeats.
La parte más pequeña de un patrón que se repite.
rhythm
ritmo		A design element created by varying the placement, size, orientation, or order of the same objects or shapes.
Un elemento de diseño creado al variar la posición, el tamaño, la orientación o el orden de los mismos objetos o figuras.
predictability
previsibilidad		Being able to know what comes next because the design follows a rule.
Poder saber qué viene después porque el diseño sigue una regla.

Practice Preview / Vista previa de práctica

Read each task. Show your work in the spaces provided and explain how you know.

1. In geometric design, what is repetition?

  1. A A set of different shapes arranged randomly
  2. B Shapes that vary in size and order of appearance
  3. C Any drawing that uses color
  4. D The same object or shape repeated multiple times

Answer:

2. The pattern unit circle-square-triangle repeats. What is shape number 12?

  1. A The pink circle
  2. B The blue triangle
  3. C The purple square
  4. D It cannot be determined

Answer:

3. Same pattern. What is shape number 20?

  1. A The purple square
  2. B The pink circle
  3. C The blue triangle
  4. D The 20th shape starts a new pattern

Answer:

4. The circle-square-triangle pattern continues. What is shape number 25?

  1. A The purple square
  2. B The blue triangle
  3. C There is no shape 25
  4. D The pink circle

Answer:

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: