1 U n t er r i ch t spl a n Id e nt if y ing Quad ril at e ral s Ad vanc e d Altersgruppe: Y e ar 5 , Y e ar 6 Maths Standards: 5 .GM .2, 6.GM .3 Online-Ressourcen: Gue ss W hat ! Opening T eacher present s St udent s play Act ivit y 8 12 12 10 5 min min min min min ZIE L E : E x pe r i e nc e classification P r ac t i c e describing polygons L e ar n to describe convex and concave polygons De v e l o p geometry skills Ope ni ng | 8 min Display the following quadrilaterals: Copyright 2015 www.matific.com Closing 2 Ask: Which quadrilateral is different from the others? Responses may vary, but students should be encouraged to realize that one of the quadrilaterals is a parallelogram, and the other three are trapezoids. Display the following quadrilaterals: Ask: Which quadrilateral is different from the others? Responses may vary, but students should be encouraged to recognize that one of the quadrilaterals is c o nc av e ( ), and the other three are c o nv e x . Display the following pentagons: Ask: Which pentagon is different from the others? Responses may vary. Some students may recognize that there is one r e gul ar pentagon and three irregular. Others may notice that there is one concave pentagon and three convex. Display the following hexagons: Ask: Which hexagon is different from the others? Responses may vary. Some students may recognize that there is Copyright 2015 www.matific.com 3 Responses may vary. Some students may recognize that there is one r e gul ar hexagon and three irregular. Others may notice that there is one concave hexagon and three convex. Define the following terms: R e g u la r p o ly g o n – a polygon where all the angles are equal and all the sides have the same length R e f le x a n g le – an angle that is greater than 180 degrees but less than 360 degrees C o n v e x p o ly g o n – a polygon where no internal angle is greater than 180 degrees C o n c a v e p o ly g o n – a polygon where at least one internal angle is greater than 180 degrees T e ac he r pr e se nt s Gue ss W hat - I de nt i f yi ng Quadr i l at e r al s | 12 min Present Matific ’s episode Gue ss W hat ! - I de nt i f yi ng Quadr i l at e r al s to the class, using the projector. The goal of the episode is to describe polygons by their sides and angles. E x a m p le : Copyright 2015 www.matific.com 4 Click on the “Quadrilateral Hierarchy” on the right side of the screen. A sk: Is a trapezoid a parallelogram? Why or why not? No, a trapezoid is not a parallelogram because trapezoids have exactly one pair of parallel sides and parallelograms have two pairs of parallel sides. Also, we can see in the diagram that trapezoids and parallelograms are both subcategories within quadrilaterals, but there is no overlap between trapezoids and parallelograms. A sk: In which categories does a rhombus belong? A rhombus is a parallelogram and a quadrilateral. A sk: In which categories does a square belong? A square is a rectangle, a rhombus, a parallelogram, and a quadrilateral. Continue to review the hierarchy as necessary to ensure that the students understand how to read it. Close the “Quadrilateral Hierarchy” by clicking on it. A sk: Which shape should we choose? Click on the shape that the students indicate. A question will appear over the monster’s head. Read the question to the students. Students should answer based on the chosen shape. If they have difficulty detecting the features of the chosen shape, you can Copyright 2015 www.matific.com 5 move and rotate the shape so that it sits on the grid lines. Click on or , as the students indicate. If the answer is correct, the monster will swallow the shapes it has eliminated as your shape and then ask another question. If the answer is incorrect, the monster will look down, and the question will wiggle. The monster will continue to ask questions until it can identify the chosen shape. Click on the to proceed. The episode will ask you to pick a shape a total of three times. S t ude nt s pl ay Gue ss W hat - I de nt i f yi ng Quadr i l at e r al s | 12 min Have the students play Gue ss W hat ! - I de nt i f yi ng Quadr i l at e r al s on their personal devices. Circulate, answering questions as necessary. Copyright 2015 www.matific.com 6 A c t i v i t y | 10 min Display a regular hexagon. Have the students work in groups of four. Ask them to draw as many concave hexagons as they can. Can they draw a hexagon with more than one reflex angle? Possible responses: Display a regular octagon. Ask the students to draw as many concave octagons as they can. Can they draw an octagon with more than one reflex angle? Possible responses: If there is time, students can draw concave heptagons or nonagons. Collect drawings when the students are done, to display later. Copyright 2015 www.matific.com 7 C l o si ng | 5 min Distribute a small piece of paper. Have students draw polygons based on the following specifications. 1. Draw one quadrilateral with all equal sides and all equal angles (a regular quadrilateral). 2. Draw a parallelogram that is not a rhombus. 3. Draw a quadrilateral with two right angles that is not a rectangle. Collect the papers to review to ensure that all students’ responses are valid. Possible responses: 1. 2. 3. Copyright 2015 www.matific.com
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