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READY … SET … MATH !! . read until we begin. . Reminder…. Today is the last entry for your notebooks ! Be sure you go through your notebook assignment sheets and SELF-ASSESS that you have everything! If you can’t find it, then I can’t find it!
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READY…SET…MATH!! read until we begin.
Reminder… • Today is the last entry for your notebooks! Be sure you go through your notebook assignment sheets and SELF-ASSESS that you have everything! • If you can’t find it, then I can’t find it! • Highlight the titles of your homework to make it easier to find. • Do you have your name, date, ACE #s on everything?
Make sure your notebook assignment sheet looks like this: • #. Date Brief Description_________________ • 1. 10-3 S&S Problem 2.1 day 1/ ACE (1 a-f) • 10-4 S&S Problem 2.1 day 2/ ACE (14-15) • 10-5 S&S Problem 2.2 ACE 3, 16, 17 • 10-6 S&S Problem 2.3 ACE 5,6 • 10-11 S&S Problem 3.1 ACE 1-3, 22-25 • 10-12 S&S Problem 3.2 ACE 4-6, 26-31 • 10-13 S&S Problem 3.3 ACE 9-14, 38-41 • 10-18 S&S Problem 4.1 ACE 1, 2,15-20 BIG IDEA: Similarity and Ratios Book p. 58 You need: calculator Lab sheet 4.1
Think about it… • How do you think this technique produced these variations of the original shape? • If we think of these images as we did the Wumps, which ones would be in the same family? • How would you know they were in the same family? • Are these similar figures? • These figures don’t have straight sides like the Wumps did. What can we measure to check for similarity?
What patterns do you notice about the measures in the table?
What is a “ratio”? • A comparison of two quantities by division • Examples… • Length to width • Cost per ounce • Height to weight • Can YOU think of more?
A new figure is created that is similar to the original girl. The height of the girl in this new figure is 15 cm. What is her width? • Could you use ratios? • If so, how? • Height10 = 15 • Width8x • Are there other ways to write the ratio?
What do we do today? • Today, you will find ratios of SHORT SIDE to LONG SIDE for each rectangle. • Then you will compare the information that the ratios and the scale factors give about similar figures.
TIME TO GET TO WORK! • Work with a partner to complete Problem 4.1 using your lab sheet • The BACK of your lab sheet is where you will write your answers today!
Ratio A = 3/5 Ratio B = 3/5 Ratio C = 3/5 Ratio D = 3/10
Equal Ratios mean similar figures. Non-equal ratios mean that the figures are not similar.
The scale factor tells you how much bigger or smaller one shape is than the other shape.
If the shapes are similar, they will have equal ratios and a scale factor
All ratios are equal. Similar parallelograms are F & G. For parallelograms to be similar, the ratios AND the corresponding angles must be the same.
C. No. The ratios AND the corresponding angles must be the same.
Make sure your notebook assignment sheet looks like this: • #. Date Brief Description_________________ • 1. 10-3 S&S Problem 2.1 day 1/ ACE (1 a-f) • 10-4 S&S Problem 2.1 day 2/ ACE (14-15) • 10-5 S&S Problem 2.2 ACE 3, 16, 17 • 10-6 S&S Problem 2.3 ACE 5,6 • 10-11 S&S Problem 3.1 ACE 1-3, 22-25 • 10-12 S&S Problem 3.2 ACE 4-6, 26-31 • 10-13 S&S Problem 3.3 ACE 9-14, 38-41 • 10-18 S&S Problem 4.1 ACE 1, 15-25