advertisement

Table of Contents Table of Contents October 2012 8 Shrinking and Stretching Pre Test Intro to Unit 9 Shrinking and Stretching 1.1 HMWK Variables and Patterns Work Book Pg. 7 10 11 12 Shrinking and Stretching Shrinking and Shrinking and 1.2 activity Stretching Stretching 1.3 2.1 2.2 HMWK HMWK Homework Variables and Variables and Variables and Patterns Patterns Patterns Work Book Work Book Workbook pg. Pg. 13 Pg. 17 18 15 Shrinking and Stretching 2.3 HMWK Stretching and Shrinking Workbook pg. 21 pg. 23 #1-3 16 Shrinking and Stretching 3.1 HMWK Stretching and Shrinking Workbook pg. 24 and pg25 #1-2a-f 17 Shrinking and Stretching 3.2 HMWK Stretching and Shrinking Workbook pg. 26 18 Shrinking and Stretching 3.3 HMWK Stretching and Shrinking Workbook pg. 27 19 Shrinking and Stretching Mid Chapter 22 Shrinking and Stretching 4.1 HMWK Stretching and Shrinking Workbook pg. 28 23 Shrinking and Stretching 4.1 and 4.2 HMWK Stretching and Shrinking Workbook pg. 29 24 Shrinking and Stretching 4.3 HMWK Stretching and Shrinking Workbook pg. 30 #1-6 25 Shrinking and Stretching 5.1 HMWK Stretching and Shrinking Workbook pg. 31 26 Shrinking and Stretching Review Workbook pg. 32-38 Bringing it all together 29 30 Shrinking and Stretching Review for test Homework Study 31 Shrinking and Stretching Shrinking and Stretching Test 1 Shrinking and Stretching/ Relooping Project 2 Shrinking and Stretching/ Relooping Project Warm-Up #1 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? 5 Warm-Up #2 (______,______) 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? 6 Stretching and Shrinking Introduction What does the word similar mean to you? Similar means Draw a picture of similar figures Summary: What can be the same and what can be different about two similar figures? Warm-Up #3 (______,______) 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? 8 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!! Warm-Up #4 (______,______) 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? 11 Investigation 1.3 Scaling Up---Scaling Down Vocabulary Word Definition: Corresponding Sides Corresponding Angles Example or Picture _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ Warm-Up #5 (______,______) 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? 14 2.1 Making Similar Figures 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 Functions can be represented in various forms. Function Tables X is the input y = 3x – 1 Y is the output Ordered Pairs Ordered Pairs 0 ( , ) 1 ( , ) 2 ( , ) ( , ) 3 Graphs 18 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 Functions can be represented in various forms. Function Tables X y = 2x +10 Y Ordered Pairs Ordered Pairs 0 ( , ) 2 ( , ) 4 ( , ) ( , ) 6 Graphs 20 2.3 Mouthing off and Nosing around NOTES EXAMPLE Warm-Up #9 Functions can be represented in various forms. Function Tables X y = 5x + 5 Y Ordered Pairs Ordered Pairs 0 ( , ) 2 ( , ) 3 ( , ) ( , ) 7 Graphs 22 3.3 Scale Factor and Similar Figures Summary When figures are similar, how are the lengths, areas, and scale factor related? 23 Warm-Up #10 Functions can be represented in various forms. Function Tables X y = 10x + 10 Y Ordered Pairs Ordered Pairs 0 ( , ) 5 ( , ) 8 ( , ) ( , ) 10 Graphs 24 4.1 Ratios within similar parallelograms Vocabulary Three ways a ratio can be written are….. Ratios Equivalent Ratios Examples 25 Warm-Up #11 http://www.r-prollc.com/SavingEnergy.html 1. The graph has recorded trends from one day’s energy usage. a. What is the largest source of residential energy cost according to the pie chart? _____________ b. The graph represents residential energy source for one day. Which source is represented in the graph and why? _______________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ 26 4.2 Ratios within Similar Triangles _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ 27 Warm-Up #12 5% Average Water Usage 35% 10% 20% Kitchen/Drin king Laundry 30% Toilet Flushing http://www.aquaprosolutions.com/index_files/B rac_greywater_reclamation.htm 1. The graph has recorded trends from weeks water usage. a. Which is the largest source of water usage according to the pie chart? _____________ What can you do to conserve water?_______________________ b. __________________________________________________________________ c. The graph represents one source of residential water usage for a week. What story could this tell? Explain. _________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ 28 4.3 Finding Missing Parts When you know two figures are similar, name two ways you can find the missing parts? Example 29 5.1 Using Shadows to find Height 30