1. Graphic Organizers
Used in Math Class

2. The Meaning of Place Value
Vocabulary Word
period
place value
Key
Words
decimal point
power of ten
Definition
The value of a digit determined
by its place in a number
7,205 in expanded form is
(7 x 103) + (2 x 102) + (5 x 100)
Grade 5 – Unit 1:
Explain that vocabulary words such as power of ten, period, and decimal point are essential to understanding the concept of place value.
The place value of 3 in
371,405,151 is 3 hundred million
Example
Related URLs: Base Blocks, Base Blocks Decimals, handout (PDF), Power of Ten
Example

3. Properties of Multiplication
Associative Property
(a x b) x c = a x (b x c)
Commutative Property
a x b = b x a
Multiplication
Properties
Distributive Property
a x (b + c) = (a x b) + (a x c)
Grade 5 – Unit 2:
Invite students to share what they know about each of the multiplication properties, make sure they use matheematical vocabulary such as factors and product. Then, have students write examples of equations that show each of the properties. Use the Multiplication Properties URL to play “Properties Game.”
Identity Property
a x 1 = 1 x a = a
Related URLs:
Multiplication Properties
Rectangle Multiplication
Multiplication Applet
Sieve of Eratosthenes
Summary of Patterns
Zero Property
a x 0 = 0 x a = 0

4. Information Path survey data frequency table line plot
stem-and leaf plot
Grade 5 – Unit 3:
Explain how data is collected, organized, and used. Have students explain why each step on the path is important to subsequent steps (i.e. without the survey there would be now data).
Explain the difference between the different graphs and why graphs are useful (i.e. to draw conclusions or make predictions).
line graph
histogram
bar graph
Related URLs:
Take a Survey!
Create a Graph
Histogram
Bar graph
Accessing and Investigating Data Using the World Wide Web
Collecting and Examining Weather Data
conclusion
predictions

5. Probability Of An Event
impossible
equally
likely
certain
Grade 5 – Unit 7:
This organizer shows a continuum scale for the outcome of an event. Point out that a probability of 0 means that the outcome is impossible. An equally likely outcome has a probability of ½ . A certain outcome has a probability of 1. As you move to the right on this continuum from ½, an outcome becomes more likely to occur. As you move to the left on the continuum form 1/2, an outcome is less likely to occur.
less
likely
more
likely 1
Related URLs: Spinner, Stick or Switch, Coin Toss,

6. Triangle Classification
scalene
no congruent sides
sides
isosceles
at least two congruent sides
equilateral
three congruent sides
Triangles
One obtuse angle
two acute angles
obtuse
angles
Unit 6 – Grade 5:
Discuss which of the triangles are classified by sides and which are classified by angles. Then discuss the definition of each type of triangle. Point out that an equilateral triangle has three congruent sides and isosceles has at least two congruent sides. Therefore all equilateral triangles are also isosceles triangles.
one right angle
two acute angles
right
three acute angles
acute
Related URLs: Virtual Congruent Triangles, Investigating the Concept of Triangle and the Properties of Polygons: Making Triangles,

7. Proper and Improper Fractions
unit
fraction
simple
form
mixed
number
Proper
Fractions
Improper
Fractions
Unit 5 - Grade 5:
Compare and contrast proper and improper fractions to show the differences between the two types of fractions. Proper fractions are less than 1 and can be unit fractions. Improper fractions are greater than or equal to 1 and can be written as mixed numbers. The graphic organizer also shows that both types of fractions have reciprocals and can be written in simplest form.
is less
than1
reciprocal
Is greater than
or equal to 1
Related URLs: Fractions - Parts of a Whole , visualizing, naming, adding, comparing, multiplying

8. Different Ways to Write a Number
Expanded form:
60, , =
Standard form:
65,921
4 different ways
Word form:
sixty-five thousand, nine hundred twenty-one
Short word form:
65 thousand, 921

9. Exploring Prime Numbers
Definition
Fact
A whole number that has only itself and 1 as factors
Even numbers can not be prime
1 is not prime
PRIME NUMBERS
Examples
Non-examples
12, 15, 16
19, 29, 31

10. Different Types of Polygons
Square
Pentagon
Parallelograms
Rectangle
Rhombus
Hexagon
Quadrilaterals
Polygons
Octagon
Trapezoid
Triangles
This organizer shows how to classify polygons by the number of sides. Explain that triangles are classified in tow ways: by the length of their sides (equilateral, isosceles, and scalene) and by the size of their angles (right, obtuse, and acute). Quadrilaterals are also broken down by type. A square, a rectangle, and a rhombus are all parallelograms. A trapezoid is not.
Equilateral
Right
Isosceles
Scalene
Obtuse
Acute

11. How to Plot an Ordered Pair
Name an ordered pair
x – axis
horizontal axis
x - coordinate
y – axis
vertical axis
y - coordinate
Show students how to plot an ordered pair. This flow chart begins with naming an ordered pair. Explain that the first number of an ordered pair is the x-coordinate. The x-coordinate tells how far to the right to move along the x-axis, or horizontal axis. The y-coordinate tells who far up to move along the y-axis, or vertical axis. Once you have determined how far to move along each axis, you plot the point at the intersection.
Plot the point at the intersection

12. Units of Measure Units of Measure length capacity weight temperature
centimeter
milliliter
length
inch
meter
capacity
cup
liter
foot
pint
yard
quart
gallon
Units of
Measure
Show students each form of measurement as you review each vocabulary word. Also clarify for students which units are metric and which are customary [metric will all appear in red in the series of actions].
weight
temperature
pounds
degrees Fahrenheit
kilograms
degrees Celsius