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Date_____________
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Learning Targets
Chapter 5
Learning Targets
• #1: I can write a ratio in 4 different ways.
B: 1 2 3
I have these questions:
A: 1 2 3
Ratios
#1
A ratio is a comparison of two whole
numbers in the same unit.
4 Possible Ways to Write a Ratio
5
7
5: 7
5 to 7
5 girls to 7 boys
You solve a ratio by simplifying the fraction.
4

10
2
2

2
5
Learning Targets
•#2)
I can find equivalent ratios.
B: 1 2 3
I have these questions:
A: 1 2 3
LT
#2
EQUIVALENT RATIOS
To determine if two ratios are equivalent
simplify each ratio by dividing.
3 and 9
15
45
3
15
9
45
÷3 =
÷3
1
5
÷9
÷9
1
5
=
1= 1
5
5
3 and 9
the ratios
15
45
Since
are
equivalent.
The GIANT ONE is used to simplify ratios.
4

10
2
2

2
5
16

20
4
4

4
5
Learning Targets
•#3)
I can write a ratio in simplest form.
B: 1 2 3
I have these questions:
A: 1 2 3
LT #3
Ratios in Simplest Form
To find the simplest form divide the
numerator and denominator by the GCF.
Example: Write the ratio 15 bikes to
9 skateboards in simplest form.
bikes
15 Write the ratio as a fraction.
=
skateboards 9
5
15
÷
3
=
=
Simplify.
9÷3 3
The ratio of bikes to skateboards is 5:3, 5 to 3, or 5
3
Ratio
vs.
20 in. 20 in.
5


3 ft.
36 in.
9
A comparison of two
whole numbers in the
same units.
Always written as
two numbers.
3
4 : 9 15 to 1
2
Never write the units.
Reduce to simplify.
Rate
300 mi.
 60 mi. / hr.
5 hr.
A comparison of a number
to one in different units.
Always written as a single
number on a per unit basis.
30.7 words / min.
3 children / family
Always write the units.
Divide to simplify.
Learning Targets
•#4)
I can calculate a unit rate
B: 1 2 3
I have these questions:
A: 1 2 3
LT #4
Unit Rate
Unit Rate is a comparison of a number to another
number in different units. It is written as a fraction.
Divide to simplify and always include units in the answer.
1) 120 students in 4 classrooms
120 students
4 classrooms
4
4
30 students

1 classroom
2) 29 grams per cubic centimeter
29 grams
Unit Rate is a rate
3
that is reduced to
1cm
unit
1
Learning Targets
•#5)
I can calculate a unit price
B: 1 2 3
I have these questions:
A: 1 2 3
LT #5
Unit Price
Unit price is the same as unit rate, but
you divide the $ by the number of items.
Eexample: For a dozen (12) roses it costs
$36.00. What is the unit price (the cost of
ONE rose)?
$
$36

12
# of Items
=$3 per rose
Learning Targets
•#6)
I can use proportions to solve
problems.
B: 1 2 3
I have these questions:
A: 1 2 3
LT # 6
Proportions are Equations
Proportions are equations. If we do the same thing to
both sides of the equal sign, the left side still equals the
right AND we can figure out what value of the variable
makes the equation true.
x 9

Example: solve for x:
Isolate the variable.
(8)
Undo division by 8 with
multiplication on by 8 on both sides

8 12
x 9 (8)

8 12
9(8)
x
12
72
x
12
x=6
LT # 6
Proportions are Equations
If the variable is on the bottom, flip BOTH
fractions to make it easier to solve.
Example:
8 12

x 9
x 9

8 12
Step 1:
FLIP BOTH FRACTIONS!
(8)
Step 2:
Multiply by 8
Step 3:
Calculate to solve

x 9 (8)

8 12
9(8)
x
12
72
x
12
x=6
LT # 6
If it takes 6 cups of flour to make 30 cookies,
how many cookies can be made with 10 cups?
cups
cookies
cookies
cups
(10)
6
=
30
30
=
6
30
=
6
300
=
6
10
x
x
10
x (10)
10
x
x = 50 cookies
Let x = the
number of
cookies
Fifty cookies
can be made
with 10 cups
of flour.
Learning Targets
I can convert between common
measurements.
•#7)
B: 1 2 3
I have these questions:
A: 1 2 3
LT # 7
Common Measurements
Length
Time
12 inch. = 1 foot
36 inches = 1 yard.
3 ft. = 1 yd.
5280 ft. = 1 mile
60 seconds = 1 minute
60 min. = 1 hour
24 hrs. = 1 day
7 days = 1 week
365 days = 1 year
52 weeks = 1 year
Volume
8 ounces = 1 cup
16 oz. = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
Weight
16 ounces= 1 pound
2000 pounds = 1 ton
Learning Targets
I can use dimensional analysis to
solve problems.
•#8)
B: 1 2 3
I have these questions:
A: 1 2 3
LT #8
Dimensional Analysis is used to convert/change
units.
Change 10 feet
to inches
Change 3 hours
to minutes
10 ft
12 in.
•
1
1 ft
3 hours 60 min.
•
1
1 hr
 120 in.
 180 min.
Change 21 days 21 days • 1 week = 21 = 3 wks
to weeks
7
7 days
1
Learning Targets
I can identify similar figures,
corresponding sides and corresponding
angles.
•#9)
B: 1 2 3
I have these questions:
A: 1 2 3
LT # 9
Corresponding
Corresponding means “it goes with”
A
B
D
C
Corresponding Angles
<A and <W
<B and<X
<C and <Y
<D and <Z
W
X
Z
Y
Corresponding Sides
AB and WX
BC and XY
DC and ZY
AD and WZ
Learning Targets
I can identify similar figures,
corresponding sides and corresponding
angles.
•#9)
I have these questions:
LT # 9
Similar figures have: Corresponding sides and
congruent corresponding angles.
AB corresponds to DE
BC corresponds to EF
FD corresponds to CA
D
A
A=40 then D=40
o
40
B=90o then E=90o
40
90 50
B
o
C
90
E
C=50 then F=50
o
50
F
o
Learning Targets
I can find missing measures in
similar figures.
•#10)
B: 1 2 3
I have these questions:
A: 1 2 3
LT # 10
Two figures
SIMILAR if they have the same
shape but not necessarily the same size.
25
=
25
5
5
(10)25
=
X
10
5
In similar figures the lengths
250 =
of the corresponding sides
5
are proportional and the
corresponding angles have
equal measures.
x
10
x
10
x
50 = x
(10)