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Explore graphing challenges and teacher tips to develop spatial reasoning skills and analyze and describe data. Includes lessons on collecting and organizing data, using diagrams as problem-solving tools, and exploring geometric transformations.
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MATH Graphing Challenges Teacher tips Maureen Curran and Mary Lou Aalbers Hazelwood School District
Graphing Challenge • The following lessons are addressing these standards: • Develop, analyze, & explain methods utilized to collect,organize,& describe data. (MO 1.1, 1.4,1.8, 2.1) • Use tree,Venn,or student-developed diagrams as problem-solving tools (MO 3.2, 3.3, and 3.6) • Explore transformations of geometric figures (MO 1.6) • Use spatial reasoning skills (MO 1.4, 1.6, 1.8) • Use reasoning processes in regard to spatial reasoning and reasoning with proportions and graphs. (MO 1.6,1.8, 3.5)
Teacher Tips • You will need to click the mouse to show the answers for activities. This will allow you to control the timing of answers shown. • We suggest that students keep a journal. • It is critical for students to use writing skills to explain their answers. • Please take time to discuss possible solutions to problems. • Click to see answer on each slide and click to go to the next slide.
TAKE THE CHALLENGE Activity #1
If you double the x and y coordinates,what will be the new vertices points? 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 (2,2) (8,2) (2,8) If you double the x and y coordinates, what will be the new vertices points? -2 -3 -4 -5 -6
If you multiply the x coordinates by a -3, what will be the new vertices? 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
6 Explain in your own words in your journal. 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 (-3,1) (-3,4) (-12,1) End of Activity -2 -3 -4 -5 -6