2014 Caryn White: Caryn Loves Math 1
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1 2014 Caryn White: Caryn Loves Math 1
2 Coordinate Plane Geometry: Quadrilateral Task Cards By Caryn White Table of Contents Copy Right Informations:... 2 Instructions and Ideas... 3 Task Cards... 5 Wanted Template... 8 Blank Graph... 9 Key Credits Copy Right Informations: This package is copyrighted 2011/2013 by Caryn White: Caryn Loves Math All rights reserved. Purchase of this unit entitles the purchaser the right to reproduce the pages in limited quantities for classroom use only. You may also duplicate for use in with your students in your special education and English Language Learners support rooms. Duplication for an entire school, an entire school system or commercial purposes is strictly forbidden without written permission from the publisher. Please contact me if you wish to be granted special permission. I can be contacted using the questions section of my TPT store. Math Copying any part of this product and placing it on the Internet in any form (even a personal/classroom website) is strictly forbidden and is a violation of the Digital Millennium Copyright Act (DMCA). These items can be picked up in a google search and then shared worldwide for free Caryn White: Caryn Loves Math 2
3 Instructions and Ideas You have 10 quadrilateral task cards plus 2 challenge cards. The cards include 7 parallelograms (of those 1 rectangle, 1 rhombus and 1 square) and 3 quadrilaterals that are not parallelograms (of those 1 right trapezoid, 1 kite, 1 isosceles trapezoid) I have not added directions to the cards so that you can use them for multiple activities. Here are just a few of the directions you can use: 1. Determine what type of quadrilateral the shape is. 2. Use slope formula to determine if the shape is a parallelogram by showing opposite sides are parallel. 3. Use distance formula to determine if the shape is a parallelogram by showing opposite sides are congruent. 4. Use the midpoint formula to determine if the shape is a parallelogram by showing the diagonals bisect each other thus have the same midpoint. 5. Use the slope formula to determine if the shape is a rectangle by showing consecutive sides are perpendicular. 6. Use the slope formula to determine if the shape is a rhombus by showing the diagonal are perpendicular. Fun activities to do with the task cards: - Quadrilateral Detective (my favorite) In groups of 2-3, students are given a card. Without graphing, students are to use the slope formula, distance formula and midpoint formulas to determine whether the shape is a parallelogram (or more specific if you want). Once they decide, they must build a case and present their evidence to their client (the class). At the end of their presentation they will graph the points to show they are correct. - Wanted Posters Students graph their points and decide what type of quadrilateral they have. On their poster they show all the properties are true Opposite sides are congruent Opposite sides are parallel Diagonals bisect Etc Caryn White: Caryn Loves Math 3
4 Differentiation: For your advanced students I have included 2 challenge problems (card K and L). These cards use variables for their points. For students that are struggling with negative numbers, some cards have all the points in the 1 st quadrant. This allows them to succeed and build confidence in their math skill while completing the same activity as their peers. Yes, they still need to know how to find the slope/distance of lines where the points are negative and positive but the purpose of this activity is to see if they can use the properties to quadrilateral to determine if the shape is a parallelogram Caryn White: Caryn Loves Math 4
5 Task Cards A (-8, 1) B (-4, 4) C (2, 2) D (-2, -1) A (0, 4) B (3, 8) C (7, 5) D (4, 1) A (-8, -3) B (-4, -1) C (-3, -3) D (-7, -5) A (1, 4) B (5, 4) C (6, 1) D (1, 1) 2014 Caryn White: Caryn Loves Math 5
6 A (-2, 0) B (5, 1) C (4, -4) D (-3, -5) A (2, 6) B (6, 8) C (4, 4) D (1, 3) A (3, 6) B (6, 8) C (4, 5) D (1, 3) A (2, 6) B (8, 6) C (11, 1) D (5, 1) 2014 Caryn White: Caryn Loves Math 6
7 A (6, 6) B (7, 3) C (4, 0) D (1, 1) A (-3, -2) B (8, -4) C (16, -1) D (5, 1) A (0, 0) B (-b, b) C (0, 2b) D (b, b) A (0, 0) B (a, b) C (c+a, b) D (c, 0) 2014 Caryn White: Caryn Loves Math 7
8 Wanted Template Wanted Description 2014 Caryn White: Caryn Loves Math 8
9 Blank Graph 2014 Caryn White: Caryn Loves Math 9
10 Key A Figure ABCD is a Parallelogram A (-8, 1) B (-4, 4) C (2, 2) D (-2, -1) B Figure ABCD is a Square A (0, 4) B (3, 8) C (7, 5) D (4, 1) AB = 3 4 DC = 3 4 BC = 1 3 AB = 5 DC = 5 BC = 40 or 6.32 AD = 40 or 6.32 AC is ( -3, 1.5 ) BD is ( -3, 1.5 ) AB = 4 3 DC = 4 3 BC = 3 4 AD = 3 4 AB = 5 DC = 5 BC = 5 AD = 5 Diagonals = AC is ( 3.5, 4.5 ) BD is ( 3.5, 4.5 ) AD = 1 3 C Figure ABCD is a Rectangle A (-8, -3) B (-4, -1) C(-3, -3) D (-7, -5) D Figure ABCD is a Not Parallelogram, it s a Right Trapezoid A (1, 4) B (5, 4) C (6, 1) D (1, 1) AB = 1 2 DC = 1 2 BC = -2 AD = -2 AB = DC = BC = AD = AC is (-5.5, 3) BD is (-5.5, 3) AB = 0 DC = 0 BC = -3 AD = no slope AB = 4 DC = BC = 5 AD = 3 AC is (3.5, 2.5) BD is (3, 2.5) 2014 Caryn White: Caryn Loves Math 10
11 E Figure ABCD is a Parallelogram A (-2, 0) B (5, 1) C (4, -4) D (-3, -5) F Figure ABCD is a Not Parallelogram, it s a Kite A (2, 6) B (6, 8) C (4, 4) D (1, 3) AB = 1 7 DC = 1 7 BC = 5 AD = 5 AB = DC = BC = AD = AC is (1, -2) BD is (1, -2) AB = 1 2 BC = 2 CD = 1 3 DA = 3 AB = DC = BC = AD = AC is (3, 5) BD is (3.5, 3.5) G Figure ABCD is a Rhombus A (3, 6) B (6,8) C (4,5) D (1,3) H Figure ABCD is a Parallelogram A (2, 6) B (8, 6) C (11, 1) D (5, 1) AB = 2 3 DC = 2 3 BC = 3 2 AD = 3 2 AB = DC = BC = AD = AC is (3.5,5.5) BD is (3.5, 5.5) AB = 0 DC = 0 BC = 5 3 AD = 5 3 AB = 6 DC = 6 BC = AD = AC is (6.5, 3.5) BD is (6.5, 3.5) 2014 Caryn White: Caryn Loves Math 11
12 I Figure ABCD is an Isosceles Trapezoid A (6,6) B (7,3) C (4,0) D (1, 1) J Figure ABCD is a Parallelogram A (-3, -2) B (8, -4) C (16, -1) D (5, 1) AB = -3 BC = 1 CD = DA = 1 AB = DC = BC = AD = BD = AC = AC is (5, 3) BD is (4, 2) AB = 2 11 DC = 2 11 BC = AD = 8 AB = DC = BC = AD = AC is (6.5, -1.5) BD is (6.5, -1.5) K Figure ABCD is a Square L Figure ABCD is a Parallelogram A (0, 0) B (-b, b) C (0, 2b) D (b, b) AB = -1 DC =-1 BC = 1 AD = 1 AB = 2b 2 = 2 b DC = 2b 2 = 2 b BC = 2b 2 = 2 b AD = 2b 2 = 2 b AC is (0, b) BD is (0, b) A (0, 0) B (a, b) C (c+a, b) D (c, 0) AB = b a BC = 0 CD = b a DA = 0 AB = a 2 + b 2 BC = c CD = a 2 + b 2 DA = c AC is ( c+a 2, b 2 ) BD is ( c+a 2, b 2 ) 2014 Caryn White: Caryn Loves Math 12
13 Credits All graphics were designed by Caryn White except the following. Task Borders Wanted Poster Copyright Border Letter People 2014 Caryn White: Caryn Loves Math 13
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