Transcript Stretching and Shrinking

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
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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
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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.
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(____,____)
(_____,_____)
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?
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Stretching and Shrinking
Reducing and Enlarging Shapes
Investigation 1.1
15in.
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(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?
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Investigation 1.3 Scaling Up---Scaling Down
Vocabulary Word
Definition:
Corresponding Sides
Corresponding Angles
Example or Picture
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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?
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2.1 Making Similar Figures
Given the information in the table
predict what will be the difference
between the wump family
members?
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2.1 Con’t…..Graph the Wumps…
Attach the graph to the other side of this page
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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
(
,
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1
(
,
)
2
(
,
)
(
,
)
3
Graphs
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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?
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Warm-Up #8
Functions can be represented
in various forms.
Function Tables
X
y = 2x +10
Y
Ordered Pairs
Ordered
Pairs
0
(
,
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2
(
,
)
4
(
,
)
(
,
)
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Graphs
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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
(
,
)
(
,
)
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Graphs
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3.3 Scale Factor and Similar Figures
Summary
When figures are similar, how are the lengths, areas, and scale factor related?
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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
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4.1 Ratios within similar parallelograms
Vocabulary
Three ways a ratio can be written are…..
Ratios
Equivalent Ratios
Examples
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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?
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b. The graph represents residential energy source for one day. Which source is
represented in the graph and why? _______________________________________
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4.2 Ratios within Similar Triangles
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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. _________________________________________________
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4.3 Finding Missing Parts
When you know two figures are similar,
name two ways you can find the missing
parts?
Example
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5.1 Using Shadows to find Height
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