Patterns: Patterns with shapes

Patterns: Patterns with shapes

Lessons

In this lesson, we will learn:

  • How to identify patterns with shapes
  • How to describe and draw sequences of figures (compound shapes)
  • How to predict the next figure in a sequence with shapes and numbers

Notes:

  • A pattern is something that repeats over and over again
    • It could be a set of number, alphabetic letters, colors, objects, shapes, etc.

  • To create a pattern with shapes, there must be a repeated order
    • Ex. triangle, triangle, square, triangle, triangle, square, triangle …

Patterns: Patterns with Shapes

    • The order of shapes goes “triangle, triangle, square” and repeats
    • Using the pattern, you can predict what shape will come next (for this example, the next shape in the pattern is a triangle)

  • More complicated shape patterns use multiple shapes to build compound shapes
    • Each new form of the shape can be called a figure in the pattern sequence
    • A sentence description can be used to describe a pattern and help predict the next figure
    • Ex. “add one more block to the right and bottom sides of the figure each time”

Patterns: Patterns with Shapes
    • Creating a table for the figure number and the number of shapes can help you see number patterns too!

Patterns: Patterns with Shapes

    • For this pattern, two more squares are added each time. You can predict that the 4th figure will have 7 squares (5+2=7)
  • Introduction
    Introduction to Patterns with Shapes:
    a)
    What are shape patterns?

    b)
    How do you describe, draw, and predict for a sequence of figures?


  • 1.
    Next Shape in the Pattern
    Draw the next two shapes in the pattern.
    a)

    Patterns: Patterns with Shapes

    b)

    Patterns: Patterns with Shapes

    c)

    Patterns: Patterns with Shapes


  • 2.
    Multiple Shape Patterns
    Draw the next two figures in the pattern and use a short sentence to describe the pattern.
    a)

    Patterns: Patterns with Shapes

    b)

    Patterns: Patterns with Shapes

    c)

    Patterns: Patterns with Shapes

    d)

    Patterns: Patterns with Shapes


  • 3.
    Patterns with Shapes - Word Problem

    Patterns: Patterns with Shapes

    a)
    What is the rule for number of folds and number of parts created?

    b)
    How many parts will you create by folding the paper four times?

    c)
    If there are 14 parts, how many times was the paper folded?


  • 4.
    Using a Rule as a Shortcut for Patterns
    Analyze the pattern; count how many triangles are in each figure. How many triangles would there be in the 6th figure?

    Patterns: Patterns with Shapes