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Table of Contents. Table of Contents. October 2012. Look at the set of points. (1,5) (2,6) (3,7) (4,__) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (_____,_____)
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Look at the set of points. (1,5) (2,6) (3,7) (4,__) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (_____,_____) 1c. Are they on a line? 1d. What is the relationship between each pair of numbers? Warm-Up #1
Look at the set of points. (3,9) (5,13) (7,17) (9,21) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (_____,_____) Are they on a line? What is the relationship between each pair of numbers? (______,______) Warm-Up #2
Stretching and Shrinking Introduction What does the word similar mean to you? Draw a picture of similar figures Similar means Summary: What can be the same and what can be different about two similar figures?
Look at the set of points. (2,1) (4,2) (6,3) (8,__) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (____,_____) 1c. Are they on a line? 1d. What is the relationship between each pair of numbers? (______,______) Warm-Up #3
Stretching and Shrinking Reducing and Enlarging Shapes Investigation 1.1 15in. _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ (use other side of paper if needed.)
Independent Work and Mathmatical Reflection Using the picture……How tall would the person in the picture be if the magazine was 15in. in reality and .5 in. on the picture? Show your work!!
Look at the set of points. (1,5) (2,6) (3,7) (4,__) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (____,_____) 1c. Are they on a line? 1d. What is the relationship between each pair of numbers? (______,______) Warm-Up #4
Investigation 1.3 Scaling Up---Scaling Down Vocabulary Word Corresponding Sides Corresponding Angles Definition: Example or Picture
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Look at the set of points. (1,5) (2,6) (3,7) (4,__) 1a. What number would go in the blank? Plot the points. 1b. What are some other points that would fit the pattern? Plot them. (___,____) (____,____) (____,_____) 1c. Are they on a line? 1d. What is the relationship between each pair of numbers? (______,______) Warm-Up #5
Given the information in the table predict what will be the difference between the wump family members? _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
2.1 Con’t…..Graph the Wumps… Attach the graph to the other side of this page ______________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Warm-Up #6 Ordered Pairs ( , ) ( , ) ( , ) ( , )
2.2 Hats off to the Wumps Changing a Figures Size and Location What happens when you add or subtract from a point on a graph versus what happens when you multiply by a number? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Warm-Up #8 Ordered Pairs ( , ) ( , ) ( , ) ( , )
2.3 Mouthing off and Nosing around NOTES EXAMPLE
Warm-Up #9 Ordered Pairs ( , ) ( , ) ( , ) ( , )
3.3 Scale Factor and Similar Figures Summary When figures are similar, how are the lengths, areas, and scale factor related?
Warm-Up #10 Ordered Pairs ( , ) ( , ) ( , ) ( , )
4.1 Ratios within similar parallelograms Vocabulary Ratios Equivalent Ratios Three ways a ratio can be written are….. Examples
Warm-Up #11 http://www.r-prollc.com/SavingEnergy.html • The graph has recorded trends from one day’s energy usage. • What is the largest source of residential energy cost according to the pie chart? _____________ • The graph represents residential energy source for one day. Which source is represented in the graph and why? _______________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________
4.2 Ratios within Similar Triangles ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Warm-Up #12 http://www.aquaprosolutions.com/index_files/Brac_greywater_reclamation.htm • The graph has recorded trends from weeks water usage. • Which is the largest source of water usage according to the pie chart? _____________ What can you do to conserve water?_______________________ • __________________________________________________________________ • The graph represents one source of residential water usage for a week. What story could this tell? Explain. _________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
4.3 Finding Missing Parts When you know two figures are similar, name two ways you can find the missing parts? Example