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Angles and Patterns

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Angles and Patterns

A group is making a repeating pattern for signs at a bush regeneration day. Explore turns and angles, then design a pattern of your own. An angle is the amount of turn between two arms that meet. A right angle is a square corner; an acute angle is smaller, and an obtuse angle is larger.

Spot the turns

Use the angle clues to solve each mission.

1.Two straight sticks are joined at one end to show a turn. What is the meeting point called?
  • A vertex
  • A side
  • A pattern
  • A curve
2.A square tile has four corners. Which kind of angle is at each corner?
3.Look at the marked turns on this number-line style angle guide. Which marked turn is the smallest?
  • 30°
  • 90°
  • 120°
4.Fill in the blanks: an angle smaller than a right angle is . An angle bigger than a right angle but smaller than a straight angle is .

Build a repeating pattern

The team is planning a border for a sign near the new seedlings.

Square

Triangle

Square

Triangle

Square

Draw the next tile

5.What tile comes next in the repeating pattern: square, triangle, square, triangle, square, ____?
6.True or false? A repeating pattern can use the same shapes and angles in the same order again and again.
TrueFalse
7.The corners of a square tile are right angles. How many right-angle corners does one square have?
8.Which option lists all the places where repeating geometric patterns might be seen?
  • On floor tiles
  • In a woven craft
  • On a building decoration
  • All of these

Design and explain

Make a pattern that could decorate the regeneration-day sign.

9.Draw a repeating pattern using at least two different shapes. Include one acute angle and one right angle. Label the two angles.
10.Explain how repeating the shapes in the same order helps make a pattern.

3 printable pages

  • Angles and Patterns, page 1 of 3: Spot the turns, Build a repeating pattern

    Page 1

  • Angles and Patterns, page 2 of 3: Triangle Square Draw the next tile

    Page 2

  • Angles and Patterns, page 3 of 3: Design and explain

    Page 3

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