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Angles and Parallel Lines in Polygons - Lesson Overview

This lesson introduces students to different types of angles and parallel lines in polygons. It covers concepts such as right angles, parallel sides, and the characteristics of polygons. Students will learn to identify and differentiate between shapes based on these attributes.

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Angles and Parallel Lines in Polygons - Lesson Overview

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  1. Lessons 12.2 and 12.4 Identify Angles and Sides of Polygons

  2. Lesson Opening Describe (in words) how these shapes are alike and how they are different.

  3. Lesson Opening Alike: plane shapes, closed shapes, quadrilaterals Different: the aqua shape is slanted, the green shape is standing upright

  4. Today we are going to learn about… ANGLES

  5. ANGLES When two line segments meet, they form an angle.

  6. ANGLES When two line segments meet, they form an angle. This triangle has 3 angles. This is an angle. This is an angle.

  7. ANGLES Some angles are special and they have special names. This is a RIGHT ANGLE. It forms a square corner (like the 4 corners of most paper).

  8. RIGHT ANGLES These shapes have at least one RIGHT ANGLE. Can you find them?

  9. RIGHT ANGLES These shapes have at least one RIGHT ANGLE. Can you find them? This quadrilateral has 4 right angles. This hexagon has 4 right angles. This triangle has 1 right angle. This pentagon has 3 right angles.

  10. RIGHT ANGLES Sometimes a symbol (like a square) is put inside the angle to tell you that it is a right angle.

  11. RIGHT ANGLES Some letters have right angles.

  12. RIGHT ANGLES Some letters have right angles.

  13. RIGHT ANGLES What other letters have right angles?

  14. Exit Ticket Can you find some right angles in your classroom?

  15. LESSON 2 (continued) TODAY YOU ARE LEARNING ABOUT… PARALLEL LINES

  16. PARALLEL LINES All polygons are made of line segments. Line segments, or lines, that appear to never cross or meet are called PARALLEL LINES.

  17. PARALLEL LINES All polygons are made of line segments. Line segments, or lines, that appear to never cross or meet are called PARALLEL LINES.

  18. PARALLEL LINES All polygons are made of line segments. Line segments, or lines, that appear to never cross or meet are called PARALLEL LINES.

  19. PARALLEL LINES All polygons are made of line segments. Line segments, or lines, that appear to never cross or meet are called PARALLEL LINES. If these lines kept going on forever, would they ever touch? NO! So they are parallel lines.

  20. PARALLEL LINES What about the other line segments on this quadrilateral?

  21. PARALLEL LINES What about the other line segments on this quadrilateral?

  22. PARALLEL LINES What about the other line segments on this quadrilateral?

  23. PARALLEL LINES What about the other line segments on this quadrilateral? Will these lines eventually touch? Yes! So these lines are NOT parallel lines.

  24. PARALLEL LINES So this polygon has 1 PAIR OF PARALLEL SIDES.

  25. PARALLEL LINES Do these polygons have parallel sides?

  26. PARALLEL LINES Do these polygons have parallel sides? This quadrilateral has 2 pairs of parallel sides. This quadrilateral has 2 pairs of parallel sides. This triangle has NO pairs of parallel sides.

  27. PARALLEL LINES Some letters have parallel lines.

  28. PARALLEL LINES Some letters have parallel lines.

  29. PARALLEL LINES What other letters have parallel lines?

  30. Describe this shape

  31. Describe this shape • Plane shape • Closed shape • Polygon • Quadrilateral • 2 pairs of parallel sides • 4 right angles

  32. Describe this shape

  33. Describe this shape • Plane shape • Closed shape • Polygon • Quadrilateral • 2 pairs of parallel sides • (no right angles)

  34. Closing Describe (in words) how these shapes are alike and how they are different.

  35. Exit Ticket • Which shapes below have both: • Only 1 pair of parallel sides, and • At least 1 right angle • Select all the statements that describe BOTH shapes below. • They are both quadrilaterals. • They both have only 1 pair of parallel sides. • They both have 2 pairs of parallel sides. • They both have 2 right angles. • They both have 4 right angles.

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