Math
Math Posters Grades 5 – 9
STANDARDS
Visual Overview of Key Math Concepts!
Each poster provides a detailed look at a core, standards-based topic. Laminated for years of use! 23” x 35”
All About Fractions
Poster
A graphic overview of equal
parts of a whole; equivalent
fractions; fractions on a
number line; mixed numbers;
and adding & subtracting
fractions.
33-6101 ............................. $19.95
Area, Volume & Perimeter
Area Area formula
width
(w)
width
(w)
length ( )
length ( )
Area = length x width
Area = x w
Volume formula
height
(h)
width
(w)
length ( )
Volume = length x width x height
Volume = x w x h
Perimeter formula
width
(w)
width
(w)
length ( )
length ( )
Perimeter = (2 x length) +
(2 x width)
Perimeter = 2 + 2w
Area is the number of square units needed
to cover the inside of a figure.
A = l x w
A = 9 x 5
A = 45
Area = 45 square feet
Volume is the number of cubic units that
fill up a solid figure.
3ft
3ft
V = x w x h
V = 4 x 3 x 3
V = 36
Volume = 36 cubic feet
Perimeter is the distance around a plane figure.
P = 2 + 2
P = 2(12) + 2(6)
P = 24 + 12
P = 36
12m
6m 6m
Perimeter = 36 meters
9ft
Volume
4ft
Perimeter
5ft
12m
To find the perimeter you
may also add the lengths
of all sides.
P = 12 + 6 + 12 + 6 = 36
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Ratio, Proportions & Percent
80
100
Step 2
Ratio
A ratio is a comparison of two numbers.
These numbers are called the terms of the ratio.
Write a ratio to compare the number
of girls and boys in your classroom.
= boy
= girl
A proportion is an
equation showing that
two ratios are equal.
Ratios that are equal to
each other are called
equivalent fractions.
All About Decimals
78
100
Tenths Hundredths
0. 7 0
0. 7 8
1. 0 4
1. 4 0
Base Blocks Word Fraction Decimal
1 1. 3 2
Seven tenths
Seventy-eight
hundrendths
One and four
hundrendths
One and four tenths
Eleven and thirty-two
hundrendths
Subtracting Decimals
Decimals & Fractions:
0.7
1 1
Subtract the
Finding Volume
Add the
Volume of Prisms Volume of Cylinders
V = x w x h V = r
0.78
diameter (d) = 8 cm
radius (r) =
radius (r) =
r = 4 cm
3.14 • 4
2 • 9
Base
area (B) Height (h)
b • h, or • 4 • 7 = 14 12
12
V
V
Volume of Cones Volume of Spheres Volume of Pyramids
8 cm
4 3
V = r 3
13
3 • 3.14 • 33
• 3.14 • 9 • 8 4
3 • 3.14 • 27 V =
13
(B) =
B =
• 3.14 • 32 • 8 4
• w
4 • 6 = 24
The Pythagorean Theorem
Pythagoras
was a Greek
mathematician
and philosopher
who made
important
contributions
to mathematics
and astronomy. The
Pythagorean Theorem was
Pythagoras’ most famous
mathematical contribution.
Using the Pythagorean
Theorem
Square C
b
c
62 www.newpathlearning.com
All About Fractions
15
0 1
+ = – =
To add fractions with the same denominator: To subtract fractions with the same denominator:
All About Decimals
Poster
Comprehensive coverage of
decimals & fractions; place
value; ordering & comparing
decimals; and adding &
subtracting decimals.
33-6102 ............................. $19.95
Area, Volume &
Perimeter
Poster
Features illustrated instruction
on the formulas used to determine
these key measurements
along with graphic examples
of calculating the area of a
rectangle; perimeter of a plane;
and the volume of a solid.
33-6103 ............................. $19.95
Customary & Metric
Units of Measurement
Poster
A detailed look at key customary
and metric units to include length,
capacity, weight and temperature.
33-6104 ............................. $19.95
Ratio, Proportion
& Percent
Poster
An illustrated overview of the
key concepts of ratio, proportion
and percent as well as the
relationship between them.
33-6105 ............................. $19.95
Customary & Metric Units of Measure
9
1 2 3 4 5 6 7 8
cm
100
90
80
70
60
50
40
30
20
10
0
-10
-20
-30
-40
1 quart (qt) 2 pints
1 quart 4 cups
Temperature
200
180
160
140
120
100
80
60
40
20
0
-20
-40
1 2 3 4 5 6 7
Inch
1 mL
One Gallon
MILK
One
Quart
1,000 mg
total mass
5
grams 1
10 centimeters (cm)
10 decimeters
1,000 meters
gram 500 mg
500 mg
Customary Units Metric Units
Degrees
Celsius (ºC)
are metric
units of
temperature.
Length
Capacity
Weight
Degrees
Fahrenheit (ºF)
are customary
units of
temperature.
Length
Capacity
Mass
Temperature
The Customary System of Measurement
is used primarily in the United States.
The Metric System of Measurement is
used primarily in most parts of the world.
It is a base-ten system.
Comparing Metric &
Customary Measures
Length Capacity
Weight & Mass
1 in. = 2.54 cm
1 m ≈ 39.37 in.
1 m ≈ 1.09 yd
1 km ≈ 0.6 mi
1 mi ≈ 1.6 km
1 L ≈ 1.06 qt
1 gal ≈ 3.8 L
1 oz ≈ 28 g
1 kg ≈ 2.2 lb
1 foot (ft) 12 inches (in.)
1 centimeter (cm) 10 millimeters (mm)
1,000 milliliters (mL)
1 decimeter (dm)
1 meter (m)
1 kilometer (km)
1 yard (yd) 3 feet
1 yard 36 inches
1 mile (mi) 1,760 yards
1 mile 5,280 feet
1 pint (pt) 2 cups
1 liter (L)
10 deciliters (dL) 1 liter (L)
1 gram (g) 1,000 milligrams (mg)
1 pound (lb) 16 ounces (oz) 1 kilogram (kg) 1,000 grams
1 ton (T) 2,000 pounds
water freezes 32ºF
water boils 212ºF
normal body 98.6ºF
temperature
water freezes 0ºC
water boils 100ºC
37ºC
normal body
temperature
1 gallon (gal) 4 quarts
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
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• Mixed numbers
have a whole
number and a
fraction.
• A number line can be used to
compare fractions.
• Fractions that represent
the same amount of a
whole are called
equivalent fractions.
– One and one
half tomatoes
Equal Parts of a Whole
Equivalent
Fractions
Mixed
Numbers
Fractions on a
Number Line
2 equal parts
Halves
3 equal parts
Thirds
4 equal parts
Fourths
5 equal parts
Fifths
6 equal parts
Sixths
represents the
example: same amount as
8 equal parts
Eighths
10 equal parts
Tenths
12 equal parts
Twelfths
Adding Fractions Subtracting Fractions
1. Only add the numerators
2. Write the total over the
same denominator.
1. Only subtract the numerators
2. Write the difference over the
same denominator.
14
13
16
18
18
18
18
18
18
18
18
18
18
2
8
3
8
4
8
4
8
5
8
6
8
7
8
8
8
1
10
1
12
1 12
1 12
0
14
2
4
3
4
4
4
0
12
12
2
2
0
14
12
12
14
14
14
1
3
6
2
6
5
6
+ =
3
8
2
8
18
– =
1
Numerator
2 Denominator
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© Copyright NewPath Learning. All Rights Reserved. 34-6801
10
100
1
10
= =
Ratio Fraction
form
Word
form
Using
a colon
boys to girls
girls to the
total number
of students
boys to the
total number
of students
5 to 7 5:7
7 to 12
5 to 12
7:12
5:12
10% 25
100
1
4
5
7
7
12
5
12
= = 25%
50
100
1
2
= = 50% 75
100
3
4
= = 75% 100
100
10
10
= = 100%
20
20
4
5
x = =
15
15
15
15
Step 5
7
1
Equal Ratios:
Count the number of boys:
Count the number of girls:
Write a ratio to compare. Ratios can be
written in three different ways.
4
1
= = 12
3
8
2
4
1
= 4 ÷ 1 = 4 12
3
=12÷3= 4
8
2
= 8 ÷ 2= 4
Proportion
Percent What percent of this
grid is shaded?
Lemonade Making Directions
Percents show up everywhere in our
daily lives – sales tax on purchases,
tips at restaurants, discounts at stores,
among others. Percent means “per
hundred”. It is a ratio that compares a
number to 100. For example, 36 percent
is a ratio of 36 to 100 or 36 out of 100.
= water = lemon juice
• Mix 4 parts water with 1 part lemon juice.
• change to an equivalent
fraction with a denominator
of 100.
80%
45
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© Copyright NewPath Learning. All Rights Reserved. 34-6801
Finding Volume
Poster
Provides a graphic
representation of the formulas
used to determine volume along
with illustrated examples for
prisms, cylinders, cones, spheres
and pyramids.
33-6106 ............................. $19.95
8 cm
(d)
(h)
(r)
9 cm
5 cm
5 cm
14 • 12
3.14 • 16 • 9
3 cm 3 cm
7cm
3 cm
3 cm
8 cm
3 cm
4 cm 6 cm
• Since the bases are triangles,
the area of each triangle is
Area of
rectangular
base
3 cm
Rectangular Prism
Prism
(h)
( )
(w)
(h)
4 cm
(b)
12 cm
(h)
(h)
(r)
(h)
2 h
V
V =
V =
V =
V =
V =
45 cm3
3.14
168 cm3 452.16 cm3
d
2
8cm
2
V = r
2 h 13
V = B • h
V = 64 cm3
V
V
V 13
V
13
V 75.36 cm3 V 113.04 cm3
• 24 • 8
B =
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© Copyright NewPath Learning. All Rights Reserved. 34-6801
The Pythagorean
Theorem
Poster
What is the Pythagorean
Theorem? How is it applied to
problem-solving? A detailed
overview of this key geometric
concept and its uses!
33-6107 ............................. $19.95
The Pythagorean Theorem
• Pythagoras was one of the first
mathematicians to recognize
the relationship between the
sides of a right triangle. This
special relationship forms
the Pythagorean
Theorem.
• The Pythagorean
Theorem states
that the sum of the
squares of the legs
of a right triangle
equals the square
of the length of the
hypotenuse.
• According to the Pythagorean Theorem,
the sum of the two green squares, is equal
to the area of the blue square.
Therefore in algebraic terms, the
Pythagorean Theorem is stated as:
Find the length of the hypotenuse ( ).
A right triangle is a triangle with
an angle of 90º. The two sides
that form the right angle are
called legs. The side opposite the
right angle is the hypotenuse.
Square A a
hypotenuse
• Area of square A = a2
• Area of square B = b2
• Area of square C = c2
right
angle
leg
leg
a2 + b2 = c2
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
25 = c2
5 = C
Square B
C
C
3cm
4cm
Substitute
for the known
variables.
Take the
square root of
both sides.
The length of
the hypotenuse
is 5cm.
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Adding Decimals
Add 2.74 + 1.52
2.74
+ 1.52
Subtract 2.74 – 1.52
Step 1 Step 2 Step 3 Step 4 Step 1 Step 2 Step 3 Step 4
2.7 4
+ 1.5 2
6
2.74
+ 1.52
26
2.74
+ 1.52
4.26
2.74
– 1.52
2.74
– 1.52
2
2.74
– 1.52
22
2.74
– 1.52
1.22
ones
tens
tenths
hundreds
hundredths
7
10
1.04
1.4
4
100
1 2 1. 2 0
Place Value
Ordering & Comparing
Decimals
Decimal numbers are another way of writing
fractions or mixed numbers.
seven
tenths
one and
four
tenths
seventy -
eight
hundredths
one and
four
hundredths
• The numbers to the left of the
decimal point are whole numbers.
• The numbers to the right of the
decimal point are parts or fractions
of whole numbers.
• Line up the decimal points.
• Compare the digits in each column,
starting on the left.
One hundred twenty-one
and two tenths
4
10
Form
Base Blocks Word Fraction Decimal
Form
Line up the
decimal points.
hundredths
and regroup if
needed.
Add the tenths
and regroup if
needed.
Add the ones.
Place the
decimal point
in the sum.
Line up the
decimal points.
hundredths
and regroup if
needed.
Subtract the
tenths and
regroup if
needed.
Subtract the
ones. Place
the decimal
point in the
difference.
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15
15
15
15
BASED!
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