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Welcome to Pre-Algebra
Monday: Quarter 2….Week 5
1. Please write your homework down in your
agenda book for the week.
2. Return and go over Quiz on Investigation 1
and 2
3. 3.1 Indentify Similar Figures
4. Tonight’s Assignment
– Follow up 3.1
Investigation 3:
Patterns of Similar
Figures

In the last investigation, you
met the Wump family. You
found that Mug, Bug, and Zug
are similar- they have exactly
the same shape. You also
discovered that, to make a
figure that is similar to a given
figure, you keep the same
angles and multiply each length
of the original figure by the
same number. For example, to
go from Mug to Zug, you use
the same angles and multiply
each length by 2. To make a
smaller member of the Wump
family, you could shrink Mug by
keeping the same angles and
multiplying each length by a
number less than 1, such as 0.5.
How good are you at spotting changes in a
figure’s shape? Can you look at two figures
and decide whether they are similar? In the
last investigation, you learned some
mathematical ideas about what makes figures
similar. Here, you will use your visual
perception to predict which figures might be
similar, and then use mathematics to check
your predictions.
Problem 3.1
• Examine the four sets of
polygons on Labsheet
3.1. Two shapes in each
set are similar, and the
other is an imposter.
• In each set, which
polygons are similar?
Explain your answers.
You may cut out the
polygons if it helps you
think about the question.
3.1 Follow -up
1. For each pair of similar figures on Labsheet 3.1,
tell what number the side lengths of the small
figure must be multiplied by to get the side
lengths of the larger figure.(scale factor)
2. For each pair of similar figures on Labsheet 3.1,
tell what number the side lengths of the large
figure must be multiplied by to get the side
lengths of the small figure. (scale factor)
3. How are the scale factors in parts 1 and 2
related?
Quarter 2: Week 5

Warm-up Tuesday
1. Choose the pair of
similar figures.
a)
b)
c)
d)

Z and Y
V and T
X and Y
Y and W

2. Find another pair of
similar figures. Explain
your reasoning.
Welcome to Pre-Algebra
Tuesday
1. Please have your homework on your
desk and get started on your warm up.
2. Class discussion
– Follow up 3.1

3. Please work on your core workbook p.
177 – 179. What you do not finish is
homework.
3.1 Follow -up
1. For each pair of similar figures on Labsheet
3.1, tell what number the side lengths of the
small figure must be multiplied by to get the
side lengths of the larger figure.(scale factor)
2. For each pair of similar figures on Labsheet
3.1, tell what number the side lengths of the
large figure must be multiplied by to get the
side lengths of the small figure. (scale factor)
3. How are the scale factors in parts 1 and 2
related?
Quarter 2: Week 4

Warm-up: Wednesday
• Are the following rectangles similar
1. A rectangle has a length of 10 and a width of
6. A larger rectangle has a length of 60 and a
width of 30.
2. A rectangle has a length of 7 and a width of
5. A larger rectangle has a length of 20 and a
width of 12.
Welcome to Pre-Algebra
Wednesday
1. Please have your homework on your desk
and get started on the warm up.
2. Please use a red pen to correct your
homework.
3. 3.2 Building with Rep-tiles
4. Tonight’s assignment
– Workbook p. 181
• A rep-tile is a shape whose
copies can be put together to
make a larger, similar shape.
The small triangle below is a
rep-tile. The two large
triangles are formed from
copies of this rep-tile. Can
you explain why each large
triangle is similar to the small
triangle?
• Today we will investigate several shapes to see
which of them are rep-tiles. I am going to
show you two shapes; the first shape is a reptile and the second is not. Look at the shapes
carefully, and tell me what you think a rep-tile
is.
Here are two more shapes. The
triangle is a rep-tile, but the hexagon is
not. Now what do you think a rep-tile
is?
Not rep-tiles

REP - TILES
Copy table in your journal….
Shape

Sketch a larger
shape

Number of
rep-tiles used

4

Scale factor
from small to
large

2

Scale factor
from large to
small

1
2
Quarter 2: Week 5

Warm-up Thursday
• Find the missing values.
1. x = ?
3

2
8

x

2. a= ?
4

2

2
a
6

4
Welcome to Pre-Algebra
Thursday
1. Please have your homework on your desk
and get started on your warm.
2. Please correct your homework with a red
pen
3. In groups complete follow up 3.2
4. Discuss follow up 3.2
5. Turn in Weekly Assignment Sheet

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New week 5

  • 1. Welcome to Pre-Algebra Monday: Quarter 2….Week 5 1. Please write your homework down in your agenda book for the week. 2. Return and go over Quiz on Investigation 1 and 2 3. 3.1 Indentify Similar Figures 4. Tonight’s Assignment – Follow up 3.1
  • 2. Investigation 3: Patterns of Similar Figures In the last investigation, you met the Wump family. You found that Mug, Bug, and Zug are similar- they have exactly the same shape. You also discovered that, to make a figure that is similar to a given figure, you keep the same angles and multiply each length of the original figure by the same number. For example, to go from Mug to Zug, you use the same angles and multiply each length by 2. To make a smaller member of the Wump family, you could shrink Mug by keeping the same angles and multiplying each length by a number less than 1, such as 0.5.
  • 3. How good are you at spotting changes in a figure’s shape? Can you look at two figures and decide whether they are similar? In the last investigation, you learned some mathematical ideas about what makes figures similar. Here, you will use your visual perception to predict which figures might be similar, and then use mathematics to check your predictions.
  • 4. Problem 3.1 • Examine the four sets of polygons on Labsheet 3.1. Two shapes in each set are similar, and the other is an imposter. • In each set, which polygons are similar? Explain your answers. You may cut out the polygons if it helps you think about the question.
  • 5. 3.1 Follow -up 1. For each pair of similar figures on Labsheet 3.1, tell what number the side lengths of the small figure must be multiplied by to get the side lengths of the larger figure.(scale factor) 2. For each pair of similar figures on Labsheet 3.1, tell what number the side lengths of the large figure must be multiplied by to get the side lengths of the small figure. (scale factor) 3. How are the scale factors in parts 1 and 2 related?
  • 6. Quarter 2: Week 5 Warm-up Tuesday 1. Choose the pair of similar figures. a) b) c) d) Z and Y V and T X and Y Y and W 2. Find another pair of similar figures. Explain your reasoning.
  • 7. Welcome to Pre-Algebra Tuesday 1. Please have your homework on your desk and get started on your warm up. 2. Class discussion – Follow up 3.1 3. Please work on your core workbook p. 177 – 179. What you do not finish is homework.
  • 8. 3.1 Follow -up 1. For each pair of similar figures on Labsheet 3.1, tell what number the side lengths of the small figure must be multiplied by to get the side lengths of the larger figure.(scale factor) 2. For each pair of similar figures on Labsheet 3.1, tell what number the side lengths of the large figure must be multiplied by to get the side lengths of the small figure. (scale factor) 3. How are the scale factors in parts 1 and 2 related?
  • 9. Quarter 2: Week 4 Warm-up: Wednesday • Are the following rectangles similar 1. A rectangle has a length of 10 and a width of 6. A larger rectangle has a length of 60 and a width of 30. 2. A rectangle has a length of 7 and a width of 5. A larger rectangle has a length of 20 and a width of 12.
  • 10. Welcome to Pre-Algebra Wednesday 1. Please have your homework on your desk and get started on the warm up. 2. Please use a red pen to correct your homework. 3. 3.2 Building with Rep-tiles 4. Tonight’s assignment – Workbook p. 181
  • 11. • A rep-tile is a shape whose copies can be put together to make a larger, similar shape. The small triangle below is a rep-tile. The two large triangles are formed from copies of this rep-tile. Can you explain why each large triangle is similar to the small triangle?
  • 12. • Today we will investigate several shapes to see which of them are rep-tiles. I am going to show you two shapes; the first shape is a reptile and the second is not. Look at the shapes carefully, and tell me what you think a rep-tile is.
  • 13. Here are two more shapes. The triangle is a rep-tile, but the hexagon is not. Now what do you think a rep-tile is?
  • 15. Copy table in your journal…. Shape Sketch a larger shape Number of rep-tiles used 4 Scale factor from small to large 2 Scale factor from large to small 1 2
  • 16. Quarter 2: Week 5 Warm-up Thursday • Find the missing values. 1. x = ? 3 2 8 x 2. a= ? 4 2 2 a 6 4
  • 17. Welcome to Pre-Algebra Thursday 1. Please have your homework on your desk and get started on your warm. 2. Please correct your homework with a red pen 3. In groups complete follow up 3.2 4. Discuss follow up 3.2 5. Turn in Weekly Assignment Sheet