Does a group of parallel line segments need to be the same length?

1 Parallel Line Segments Parallel t Parallel What is the same about the groups of parallel line segments? They are always the same distance apart. They do not intersect each other. If you extend the line segments, they will not intersect. Why aren t these line segments parallel? Some intersect each other. Some don t touch, but they are slanted toward each other. Please note: Students need to identify parallel sides within two dimensional shapes, particularly quadrilaterals. However, as an extension, teachers may choose to include parallel lines and rays in instruction. 1 You Try: Draw examples of line segments that are parallel. Then draw examples that are not parallel. Parallel t Parallel Does a group of parallel line segments need to be the same length? Page 1 of 13 MCC@WCCUSD (AUSD) 05/3015

2 Angles can have big openings or small openings. We can test the size of an angle by using the corner of a piece of paper. The corner of the paper is the same size as a right angle. Less than a Right Angle (smaller opening) Right Angle Greater than a Right Angle (bigger opening) We often mark a right angle with a square. Please note: Students are not required to use the words acute or obtuse, but teachers may choose to use those terms. Please note that obtuse angles are greater than a right angle (90 degrees) and less than a straight angle (180 degrees). Reflex angles are greater than 180 degrees and less than 360 degrees. 2 Test each angle below. Label the size of each angle using the phrases from the answer box. less than a right angle right angle greater than a right angle Page 2 of 13 MCC@WCCUSD (AUSD) 05/3015

3 A polygon is a closed, flat, shape with all straight sides. Some Types of Polygons: t Polygons: triangle quadrilateral This is not a polygon because it has a curved side. pentagon hexagon This is not a polygon because it is not closed. septagon or heptagon octagon This is not a polygon because it is not flat. It is a 3 dimensional object. Please note that students name the different polygons in second grade. Third grade focuses mainly on quadrilaterals,but teachers can include other polygons when looking for attributes. 3 You Try: Determine if each shape is a polygon. If it is a polygon, write its exact name. If it is not a polygon, explain how you know. Page 3 of 13 MCC@WCCUSD (AUSD) 05/3015

4 Look at the Attributes of a Polygon. What are the attributes of this polygon? number of sides 4 sides the same length 2 parallel sides 1 pair right angles 0 angles less than a right angle (acute) 2 angles greater than a right angle (obtuse) 2 Name it. quadrilateral, trapezoid Label the Attributes of a Polygon You can mark the polygon to show its attributes. The arrows show where the parallel sides are. The tic marks show which sides are the same length. Please note: Students should be able to mark a right angle. They are not required to use the other markings, or to read them. Experience marking the shapes can be beneficial. Some teachers use color to help students mark the shapes instead of the standard mathematical markings. 4 You Try: What are the attributes of this polygon? Label the attributes you can. number of sides sides the same length parallel sides right angles angles less than a right angle (acute) angles greater than a right angle (obtuse) Name it. Page 4 of 13 MCC@WCCUSD (AUSD) 05/3015

5 Parallelograms are quadrilaterals with 2 pairs of parallel sides. Some people say 2 sets of parallel sides. Is this a parallelogram? Is this a parallelogram? Quadrilateral?! Quadrilateral?! 2 pairs of parallel sides?! It only has 1 pair. 2 pairs of parallel sides?! This is not a parallelogram because it only has 1 set of parallel sides. It has a different name, trapezoid. This is a parallelogram because it is a quadrilateral with 2 sets of parallel sides. *Please note: Students also need to identify rectangles (quadrilaterals with 4 right angles), rhombuses (quadrilaterals with 4 sides the same length), and squares (quadrilaterals with 4 right angles and 4 sides the same length). Teacher definitions may vary slightly. 5 You Try: Is this a parallelogram? Justify your answer. Is this a parallelogram? Justify your answer. Page 5 of 13 MCC@WCCUSD (AUSD) 05/3015

6 Directions: For Part A and Part B, you may: *use a ruler to help you measure the sides *use the corner of a piece of paper to help you measure the angles Part A: What are the attributes for Shape A? 4 sides 2 pairs of parallel sides Shape A 4 sides the same length no right angles 2 angles that are less than a right angle (acute) 2 angles greater than a right angle (obtuse) Part B: How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes. Use complete sentences. Shape B 1) They both have 4 sides. 2) They both have 2 pairs of parallel sides. 3) They both have 4 sides the same length. You try for #6 is on the next page. Page 6 of 13 MCC@WCCUSD (AUSD) 05/3015

6 You Try: For Part A and Part B, you may: *use a ruler to help you measure the sides *use the corner of a piece of paper to help you measure the angles Part A: Answer the questions about the attributes for Shape A. How many sides? How many pairs of parallel sides? Shape A How many sides are the same length? How many right angles are there? How many angles are less than a right angle (acute)? How many angles are greater than a right angle (obtuse)? Part B: How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes. Use complete sentences. Shape B 1) 2) 3) Page 7 of 13 MCC@WCCUSD (AUSD) 05/3015

7 Which polygon does not belong in this group? Justify your answer. Possible Answers: This polygon does not belong because it is the only triangle. The other two are quadrilaterals. This polygon does not belong because it is the only one that does not have a right angle. This polygon does not belong because it is the only one that has only right angles. 7 You try: Which quadrilateral does not belong in this group? Justify your answer. Page 8 of 13 MCC@WCCUSD (AUSD) 05/3015

8 Selected Response How could you name this shape? A. quadrilateral B. parallelogram C. rectangle D. square 9 Selected Response: Match the shape with the description from the answer box. You may use the corner of a piece of paper to test the angles if you need to. no right angles A only 1 right angle B only 2 right angles C 4 right angles D End of Study Guide Page 9 of 13 MCC@WCCUSD (AUSD) 05/3015

1 You Try Solutions You Try: Draw examples of line segments that are parallel. Then draw examples that are not parallel. Student samples will vary. Use the examples from #1 as a guide. 2 Test each angle below. Label the size of each angle using the phrases from the answer box. less than a right angle right angle greater than a right angle greater than a right angle less than a right angle right angle right angle 3 You Try: Determine if each shape is a polygon. If it is a polygon, name it. If it is not a polygon, explain how you know. This is not a polygon because it has curved sides. pentagon This is not a polygon because it has curved sides. This is not a polygon because it is not closed. octagon Page 10 of 13 MCC@WCCUSD (AUSD) 05/3015

4 You Try: What are the attributes of this polygon? Label the attributes you can. number of sides 4 sides the same length 0 parallel sides 1 pair right angles 2 angles less than a right angle (acute) 1 angles greater than a right angle (obtuse) 1 Name it. quadrilateral, trapezoid 5 You Try: Is this a parallelogram? Justify your answer. Is this a parallelogram? Justify your answer. Quadrilateral?! 2 pairs of parallel sides?! This is a parallelogram because it is a quadrilateral with 2 pairs of parallel sides. Quadrilateral?! 2 pairs of parallel sides?! Actually, there are 3 pairs. This is not a parallelogram because it is not a quadrilateral. Page 11 of 13 MCC@WCCUSD (AUSD) 05/3015

6 You Try: Part A: Answer the questions about the attributes for Shape A. How many sides? 4 How many pairs of parallel sides? 2 pairs How many sides are the same length? 2 pairs of sides How many right angles are there? 4 right angles How many angles are less than a right angle (acute)? none How many angles are greater than a right angle (obtuse)? none Shape A Part B: How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes. Use complete sentences. Shape B 1) They both have right angles. 2) They both have parallel sides. 3) They both have some sides the same length. 7 You try: Which quadrilateral does not belong in this group? Justify your answer. Possible Answers: This quadrilateral does not belong because it only has 1 pair of parallel sides. It s the only trapezoid. This quadrilateral does not belong because it is the only one that has right angles. This quadrilateral does not belong because it is the only one that has 4 sides the same length. Page 12 of 13 MCC@WCCUSD (AUSD) 05/3015

8 Selected Response: How could you name this shape? A. quadrilateral B. parallelogram C. rectangle D. square 9 Selected Response: Match the shape with the description from the answer box. You may use the corner of a piece of paper to test the angles if you need to. no right angles A only 1 right angle B only 2 right angles C 4 right angles D Page 13 of 13 MCC@WCCUSD (AUSD) 05/3015