2. + Objective: Lessons 19: Draw kites and squares to clarify their attributes and define kites and squares based on those attributes. By the end of the lesson, you will be able to… 5th Grade Module 5 Lesson 19 K. Clauson

3. + Time to Sprint! Multiply by Multiples of 10 and 100 5th Grade Module 5 – Lesson 19 K. Clauson

4. + Divide by Multiples of 10 and 100

5. + Application Problem The teacher asked her class to draw parallelograms that are rectangles. Kylie drew Figure 1, and Zach drew Figure 2. Zach agrees that Kylie has drawn a parallelogram but says that it’s not a rectangle. Is he correct? Use properties to justify your answer. Figure 1 Figure 2

6. + Teacher notes Teacher and Students will need: Template - quadrilateral hierarchy Ruler Protractor Set square (or right angle template) Scissors Crayons, markers, or colored pencils Blank paper for drawing Concept Development

7. + Problem 1 a) Draw a square and articulate the definition What shapes have we drawn so far? Mystery Question! Can a rectangle ever be a rhombus? Can a rhombus ever be a rectangle? Turn and talk! We are going to draw a figure to answer this question! Concept Development Quadrilaterals, trapezoids, parallelograms, rhombuses, rectangles

8. + Problem 1 Draw a segment 3 inches long on your blank paper and label the endpoints A and B. Now using your set square, draw three inch segments from point A and from point B. Both at a 90° angle to AB. Label the endpoints as C and D. Are AC and BD parallel? How do you know? Use your straightedge to connect points C and D. AB C D What have we drawn? How do you know?

9. + Problem 1 a) Draw a square and articulate the definition Based on the property of parallel sides, tell your partner another name for this shape and justify our choice. AB C D What have we drawn? How do you know? Stu Dent said: It’s a trapezoid. It has a pair of parallel sides. Ima Kid said: I can call this a parallelogram because there are two sets of parallel sides.

10. + Problem 1 b) Measure and label its angles to explore their relationships Use your protractor to measure all of the angles. What are their measures? AB C D Trapezoid Since this is a parallelogram with four right angles and two sets of opposite equal sides, what can we call it? Parallelogram Rectangle Rhombus Since this is a parallelogram with four equal sides, what can we call it? Let’s return to our mystery question- Can a rectangle ever be a rhombus? Can a rhombus ever be a rectangle? Stu Dent: Yes. A square is a rhombus and a rectangle at the same time. Ima Kid: A rectangle can be a rhombus if it is a square.  A rhombus can be a rectangle if it is a square.

11. + Problem 1 a) Draw a square and articulate the definition List the attributes of a square! AB C D Trapezoid Parallelogram Rectangle Rhombus Square A square has four sides that are equal and four right angles. A square has opposite sides that are parallel, four right angles, and sides that are all equal in length. A square is a rectangle with four sides that are equal length. A square is a rhombus with four right angles.

12. + Problem 1 c) Measure to explore diagonals of squares Draw the diagonals in the square. Predict whether the diagonals will bisect each other. Measure the length of the diagonals. Them measure the distance from each corner to the point where they intersect to test your prediction. Now measure the angles inside where the diagonals intersect with your protractor. What did you find? What is the special name we call those diagonal lines that bisect one another and make a 90° angle? AB C D Perpendicular Bisectors

13. + Problem 2 a) Draw a kite and articulate the definition Draw an angle of measure with two sides are the same length. The two sides must be greater than 2 inches long. Mark the vertex as I and the endpoints as K and T Use your scissors to cut along the rays of your angle. Fold your angle in half matching points K and T. Open it and mark a point on the fold and label it E. Use your ruler to connect your point to the ends of the other segments. Then cut out your kite.

14. + Problem 2 b) Measure and label its sides and angles to explore their relationship Measure the two sides that you just drew. What do you notice about the sides? How are they different from parallelograms? Use your protractor to measure the angles of the kite and record the measurements on your figure. What do you notice? Stu Dent: There are two sets of sides that are equal to each other, but they are next to each other, not across from each other. Ima Kid: Opposite sides are not equal on mine, but adjacent sides are. None of these sides are parallel to each other.

15. + Problem 2 c) Measure to explore diagonals of kites. Draw the diagonals of the kite. Measure the length of the diagonals The length of the segments of the diagonals The angles where the diagonals intersect What can you say about the diagonals of a kite? Turn and talk.

16. + Attributes of a Kite! * A kite is a quadrilateral with equal adjacent sides. * It’s a quadrilateral with two pairs of adjacent sides that have equal lengths. Mystery Question! Can a kite ever be a parallelogram? Can a parallelogram ever be a kite? Why or why not? Stu Dent: Yes, a parallelogram can be a kite. A square and a rhombus both have all equal sides, so that fits the definition of a kite. Ima Kid: Squares and rhombuses have sides next to each other that are equal. They are the only parallelograms that could also be called kites. Any quadrilateral with all sides equal would have adjacent sides equal, so a rhombus and a square are kites.

17. + Extension: Concave kite (arrowhead) What can you tell me about these kites?

18. + Get Ready to Finish the Problem Set on Your Own! Let’s practice drawing more squares and kites and thinking about their attributes by completing the Problem Set. You will have 10 minutes to complete the Problem Set. Do your best to complete as much as you can in the time allotted. ----------------------------------------------------------------- Fast finishers: - Math Center Activities- choice boards, extra Sprint challenge - CML packets/ worksheets - Problem Solving pages 5th Grade Module 5– Lesson 19 K. Clauson

19. + 5th Grade Module 5- Lesson 19 K. Clauson Take 2 minutes to check your answers with your partner. Let’s share any insights you had while solving these problems. When???

20. + 5th Grade Module 5– Lesson 19 K. Clauson EXIT TICKET LESSON 19