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Quilt Pattern Triangle Calculation |

Find the number of triangles in the fifth square of a quilt pattern made from different-sized squares. |

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Quilt Pattern Triangle Calculation |

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 13–4) Main Idea Example 1: Problem-Solving Investigation Lesson Menu

  3. I will choose the best strategy to solve a problem. Main Idea/Vocabulary

  4. EMILIO: To make a quilt pattern, I pieced together triangles to make squares of different sizes. The first square is made from 2 triangles, the second square is made from 8 triangles, and the third square is made from 18 triangles. The quilt will have squares of five different sizes. Example 1

  5. YOUR MISSION: Find how many triangles are in the fifth square. Example 1

  6. Understand What facts do you know? • There are 2 triangles in the first square. • There are 8 triangles in the second square. • There are 18 triangles in the third square. Example 1

  7. Understand What do you need to find? • You need to find how many triangles are in the fifth square. Example 1

  8. Plan Look for a pattern to find the number of triangles. Example 1

  9. Solve Each square has twice as many triangles as small squares. First square 2 × 1 or 2 triangles Second square 2 × 4 or 8 triangles Third square 2 × 9 or 18 triangles Continuing the pattern, the fourth square has 2 × 16 or 32 triangles. The fifth square has 2 × 25 or 50 triangles. Example 1

  10. Check Draw the fifth square and count the number of triangles. Since there are 50 triangles in the fifth square, the answer is correct. Example 1

  11. End of the Lesson End Lesson

  12. Five-Minute Check (over Lesson 13–4) Image Bank Math Tool Chest Identify Angles Resources

  13. A B C D (over Lesson 13–4) Determine whether the statement is true or false. Explain. All squares are rhombi. • True; opposite sides are parallel and all sides are congruent. • False; all rhombi are squares. • False; only some squares are rhombi. • False; squares are never rhombi. Five Minute Check 1

  14. A B C D (over Lesson 13–4) Determine whether the statement is true or false. Explain. Some parallelograms are rectangles. • True; parallelograms with 2 parallel sides are rectangles. • True; parallelograms with 4 right angles are rectangles. • False; all parallelograms are rectangles. • False; parallelograms are never rectangles. Five Minute Check 2

  15. A B C D (over Lesson 13–4) Determine whether the statement is true or false. Explain.All parallelograms are rhombi. • True; all rhombi have 4 congruent sides. • False; parallelograms can never be rhombi. • False; only parallelograms with 4 congruent sides are rhombi. • True; parallelograms with 4 right angles are rhombi. Five Minute Check 3

  16. A B C D (over Lesson 13–4) Determine whether the statement is true or false. Explain.Some rectangles are squares. • False; all rectangles are squares. • False; rectangles can never be squares. • True; rectangles with 4 congruent sides are squares. • True; rectangles are always squares. Five Minute Check 4

  17. End of Custom Shows

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