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HOW TO TALK MATH Over 100 Math Words that every student MUST KNOW

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HOW TO TALK

MATH

Over 100 Math Words

that every student MUST KNOW

Other books by Brett Bernard:

Total Math Engagement

HOW TO TALK

MATH

Over 100 Math Words

that every student MUST KNOW

by

Published by Gold Medal Staff Development, LLC

www.brettbernard.com

Copyright © 2015 Gold Medal Staff Development, LLC

All rights reserved

In accordance with the U.S. Copyright Act of 1975, the reproducing, scanning, uploading, and electronic

sharing of any part of this book without permission of the publisher is unlawful piracy and the theft of the

author’s intellectual property. If you would like to use material from the book (other than for review

purposes), prior written permission must be obtained from the publisher. Thank you for supporting the

author’s rights.

Cover Design: Peacock Designs

Interior artwork by Shindeyash Designs

Printed by CreateSpace

Printed in the United States of America

ISBN-13: 978-1535110723

ISBN-10: 1535110724

Table of Contents

How to use this book.................................................................................................................. 1

Geometry ................................................................................................................................... 2

Create a Bumper Sticker .............................................................................................................. 13

Design a Cartoon Strip ................................................................................................................. 14

Write an Acrostic Poem ............................................................................................................... 15

Super Sentences........................................................................................................................... 16

Create a Word Search .................................................................................................................. 17

Glossary – Geometry ................................................................................................................... 18

Data and Measurement ........................................................................................................... 23

Create a Bumper Sticker .............................................................................................................. 34

Design a Cartoon Strip ................................................................................................................. 35

Write an Acrostic Poem ............................................................................................................... 36

Super Sentences........................................................................................................................... 37

Create a Word Search .................................................................................................................. 38

Glossary – Data & Measurement ................................................................................................. 39

Algebra .................................................................................................................................... 43

Create a Bumper Sticker .............................................................................................................. 54

Design a Cartoon Strip ................................................................................................................. 55

Write an Acrostic Poem ............................................................................................................... 56

Super Sentences........................................................................................................................... 57

Create a Word Search .................................................................................................................. 58

Glossary – Algebra ....................................................................................................................... 59

Number Sense and Operations ................................................................................................ 63

Create a Bumper Sticker .............................................................................................................. 74

Design a Cartoon Strip ................................................................................................................. 75

Write an Acrostic Poem ............................................................................................................... 76

Super Sentences........................................................................................................................... 77

Create a Word Search .................................................................................................................. 78

Glossary – Number Sense ............................................................................................................ 79

Scavenger Hunt ........................................................................................................................ 83

Math Enrichment Activities ...................................................................................................... 86

About the Author ..................................................................................................................... 87

How to use this book

This book is set up as a Whole Brain Journal with a glossary. Your job is to write each word (in

alphabetical order) from the glossary and its definition and then draw a colorful, detailed picture

to show what each word or phrase means. The first three words have been added to help you get

started.

Let’s take a look at the two ways you can do this.

1. Definition and Draw

2. Definition and Example

Even number: A counting number that can

be divided by two. For example, 2, 4, 6,

and 8 are even numbers.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

You will see that there are examples and drawings in the glossary. This is to help you understand

what the words mean. These drawings and examples are meant to give you a start. For example,

if the glossary shows an example of a cylinder, you could create a drawing of a soda can, a

garbage can, or any other container.

Be sure to do detailed work and to use color.

Geometry

Geometry 3

angle

apex

area

4 How to Talk Math

base

concave polygon

concentric circles

Geometry 5

i

cone

congruent

convex polygon

6 How to Talk Math

cube

cylinder

edge

Geometry 7

i

equilateral triangle

face

intersect

8 How to Talk Math

line segment

parallel

parallelogram

Geometry 9

i

pentagon

perpendicular

point

10 How to Talk Math

polygon

prism

pyramid

Geometry 11

i

ray

reflection

rotation

12 How to Talk Math

similar

translation

vertex

Geometry 13

i

Create a Bumper Sticker

Choose one of the math words from your Whole Brain Journal and create a bumper sticker that

shows the meaning of that word. Include a drawing or design that shows the meaning of the

word. Please use your creativity and color!

14 How to Talk Math

Design a Cartoon Strip

Choose one (or as many as you would like) of the math words in this book and create a cartoon

strip that shows the meaning of the word or words. You can use your own characters or your

favorite characters that you know from books and television. Have fun and don’t forget to be

creative and use color.

Geometry 15

i

Write an Acrostic Poem

You can write an acrostic poem using the directions below.

1. Choose one of the math vocabulary words.

2. Write the word vertically on your paper. Be sure to capitalize each letter.

3. Start each line of the poem with the capital letters you wrote.

4. Each line of the acrostic poem should include a word or phrase related to that word.

Please see the example for reference.

5. For an added bonus, you may choose to make this colorful.

Example: Multiplication Addition Triangle Horizontal Try your own acrostic poem below.

16 How to Talk Math

Super Sentences

Choose fifteen of your vocabulary words and write each one in a complete sentence following the

directions below.

1. Use capital letters and punctuation.

2. Do your best to spell correctly.

3. Underline the vocabulary word.

4. Be sure that the sentence helps people understand what the word means.

Example: The building in Washington, D.C., is called the Pentagon, because it has five sides.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Geometry 17

i

Create a Word Search … become more familiar with your new math vocabulary

1. Choose sixteen of your new math words and write them in the word bank at the bottom of this

page.

2. Write the words in the grid. You may do this across (horizontally), up and down (vertically), and

diagonally.

3. Fill in the open spaces with random letters that will hide your words and make it challenging for

your friends to find them.

4. Double check your work to make sure it is neat and accurate.

5. Trade with a partner and start searching for those new math words!

Math Word Search

Word Bank

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

18 How to Talk Math

Glossary – Geometry

Angle: a figure that is formed by two rays or

two line segments with a common endpoint.

Apex: in a cone or pyramid, the vertex is

opposite to the base. In a pyramid, all the

faces except the base meet at the apex.

Area: the amount of surface inside a shape.

Area is measured in square units such as

square inches, square feet, or square yards.

Base: a name used for a side of a polygon or a

face of a three-dimensional figure

Concave polygon: a polygon in which at least

one vertex goes in. At least one inside angle of

a concave polygon is a reflex angle, with a

measure of more than 180 degrees.

Concentric circles: circles that have the same

center but radii of different lengths.

Cone: a three-dimensional shape that has a

circular base and a curved surface that ends in

a point called an apex or vertex.

Geometry 19

i

Congruent: figures that have the same shape

and the same size. Two figures are congruent

if they match exactly when placed on top of

each other.

Convex polygon: a polygon in which all

vertices are pushed outward. Each inside

angle of a convex polygon has a measure less

than 180 degrees.

Cube: a three-dimensional shape that has six

square faces. A cube has 12 edges and 8

vertices.

Cylinder: a three-dimensional shape with two

circular bases that are parallel and congruent

and are connected by a curved surface. A soda

can is shaped like a cylinder.

Edge: the line segment where two faces of a

solid figure meet.

Equilateral triangle: a triangle with all three

sides equal in length and all angles have the

same measure.

20 How to Talk Math

Face: a flat surface or side of a solid figure.

Intersect: to meet or to cross.

Line segment: a part of a line. A line segment

has two endpoints.

Parallel: always the same distance apart, and

never meeting or crossing each other. Railroad

tracks are parallel.

Parallel Lines

Parallelogram: a quadrilateral (four-sided

figure) that has both pairs of opposite sides

equal and parallel.

Pentagon: A polygon with five sides.

Perpendicular: two segments, rays, or lines

that form a 90 degree angle.

Point: an exact location in space, often

represented by a dot.

Polygon: a closed figure with sides made of

straight-line segments. Some examples

include rectangles, triangles, and squares.

Geometry 21

i

Prism: a solid that has two parallel bases that

are formed by polygons with the same size

and shape. The other faces connect the bases

and are all shaped like parallelograms. Prisms

take their names from the shapes of their

bases. Triangular prisms and rectangular

prisms are two examples.

Pyramid: a solid in which one face, the base,

may have any polygon shape. All of the other

faces have triangular shapes and come

together at a vertex called the apex. A

pyramid takes its name from the shape of the

base. If the base is rectangular, it is a

rectangular pyramid.

Ray: a part of a line that has an endpoint and

goes forever in the other direction.

Reflection: the “flipping” of a figure over a line

so that its image reflects and is the mirror

image of the original figure.

Rotation: a movement of a figure around a

fixed point, or axis. A rotation is like a turn.

Similar: figures that have the same shape but

not the same size.

Translation: a movement of a figure along a

straight line. Each point of the figure slides the

same distance in the same direction.

22 How to Talk Math

Vertex: a point where the sides of the angle,

the sides of a polygon, or the edges of a solid

meet; any corner of a solid.

Data and Measurement

24 How to Talk Math

area

average

bar graph

Data and Measurement 25

broken line graph data

capacity

circle graph

26 How to Talk Math

circumference

diameter

landmark

Data and Measurement 27

length

line graph

line plot

28 How to Talk Math

mass

maximum

minimum

Data and Measurement 29

mean

median

meter

30 How to Talk Math

metric

outlier

perimeter

Data and Measurement 31

radius

range

square unit

32 How to Talk Math

survey

tally chart

U.S. customary system

Data and Measurement 33

volume

width

yard

34 How to Talk Math

Create a Bumper Sticker

Choose one of the math words from your Whole Brain Journal and create a bumper sticker that

shows the meaning of that word. Include a drawing or design that shows the meaning of the

word. Please use your creativity and color!

Data and Measurement 35

Design a Cartoon Strip

Choose one (or as many as you would like) of the math words in this book and create a cartoon

strip that shows the meaning of the word or words. You can use your own characters or your

favorite characters that you know from books and television. Have fun and don’t forget to be

creative and use color.

36 How to Talk Math

Write an Acrostic Poem

You can write an acrostic poem using the directions below.

1. Choose one of the math vocabulary words.

2. Write the word vertically on your paper. Be sure to capitalize each letter.

3. Start each line of the poem with the capital letters you wrote.

4. Each line of the acrostic poem should include a word or phrase related to that word.

Please see the example for reference.

5. For an added bonus, you may choose to make this colorful.

Example: Multiplication Addition Triangle Horizontal Try your own acrostic poem below.

Data and Measurement 37

Super Sentences

Choose fifteen of your vocabulary words and write each one in a complete sentence following the

directions below.

1. Use capital letters and punctuation.

2. Do your best to spell correctly.

3. Underline the vocabulary word.

4. Be sure that the sentence helps people understand what the word means.

Example: The building in Washington, D.C., is called the Pentagon, because it has five sides.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

38 How to Talk Math

Create a Word Search

… become more familiar with your new math vocabulary

1. Choose sixteen of your new math words and write them in the word bank at the bottom of this

page.

2. Write the words in the grid. You may do this across (horizontally), up and down (vertically), and

diagonally.

3. Fill in the open spaces with random letters that will hide your words and make it challenging for

your friends to find them.

4. Double check your work to make sure it is neat and accurate.

5. Trade with a partner and start searching for those new math words!

Math Word Search

Word Bank

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

Data and Measurement 39

Glossary – Data & Measurement

Area: the amount of surface inside a shape.

Ares is measured in square units such as

square inches, square feet, or square yards.

Area can also be found by multiplying the base

by the height.

Average: a typical value for a set of numbers.

The word average is the same as the mean of

a set of numbers.

Bar graph: a graph that uses horizontal or

vertical bars to represent data.

Broken line graph data: information that is

gathered by counting, measuring, questioning,

or observing.

Capacity: the amount a container can hold.

Capacity can be measured in gallons, pints,

and cups. Capacity also refers to the heaviest

weight a scale can measure.

Circle graph: a graph in which a circle is

divided into sectors, or parts, to show the

parts of a set of data. The whole circle

represents the whole set of data. It is also

known as a pie graph.

Circumference: the distance around a circle;

often referred to as the perimeter of a circle.

40 How to Talk Math

Diameter: a line segment that goes through

the center of a circle and has endpoints on the

circle. The diameter of a circle or sphere is

twice the length of the radius.

Landmark: a notable feature of a data set.

Landmarks can include minimum, maximum,

median, mode, mean, and range.

Length: the measurement of something from

end to end.

Line graph: a line graph uses line segments to

connect data points. Line graphs show how

something has changed over time.

Line plot: a sketch of data in which check

marks, x’s, or other marks above a labeled line

show the frequency of each value.

Mass: a measure of how much space a solid

figure takes up. Volume is measured in cubic

units such as cubic centimeters or cubic

inches. The volume or capacity will tell how

much the container will hold. Capacity is

measured in units like gallon or liters.

Maximum: the largest amount. The largest,

or greatest, number in a set of data.

Minimum: the smallest amount. The smallest

number in a set of data.

Data and Measurement 41

Mean: the average number in a set of data.

The mean is found by adding all of the data

values and dividing by the number of

numerals in the set of data.

Median: the middle number in a set of data

when the numbers are put in order from least

to greatest.

Meter: a unit of length equal to 100

centimeters.

Metric: a system of measurement based on

the base-ten numeration system. It is used in

most countries around the world. Examples of

metric measurement include decimeter (dm),

centimeter (cm), millimeter (mm), and

kilometer (km).

Milli – 0.001 1 millimeter = 0.001m

Centi – 0.01 1 centimeter = 0.01m

Deci – 0.1 1 decimeter = 0.1m

1 1 meter = 1m

Deka – 10 1 dekameter = 10m

Hecto – 100 1 hectometer = 100m

Kilo – 1,000 1 kilometer = 1,000m

Outlier: a number that is different from all the

other numbers in a set. For example, in this

set of numbers (3, 4, 2, 5, 19), 19 is the

outlier.

Perimeter: the distance around a polygon or

other shape.

Radius: a line segment from the center of a

circle to any point on the circle. The radius of a

circle is one-half of the diameter.

Range: the difference between the largest

(maximum) and the smallest (minimum)

numbers in a set of data.

42 How to Talk Math

Square unit: a unit used in measuring an area

such as a square centimeter or a square foot.

Survey: a way of gathering information or

data. For example, someone might take a

survey of what the most popular type of ice

cream is.

Tally chart: a table that uses marks, called

tallies, to show how many times each value

appears in a set of data.

U.S. customary system: the measuring system

most frequently used in the United States.

Some examples of units of measurement

include inches, feet, yards, and miles.

Volume: the measurement of how much

space a solid object takes up. Volume is

measured in cubic units, such as cubic

centimeters or cubic inches.

Width: the measurement of something from

side to side.

Yard: a unit of measure equal to 3 feet or 36

inches.

Algebra

44 How toTalk Math

algebraic expression

associative property of addition

associative property of multiplication

Algebra 45

commutative property of addition

commutative property of multiplication

composite number

46 How toTalk Math

distributive property

equal symbol =

equation

Algebra 47

equivalent

evaluate

exponent

48 How toTalk Math

expression

greater than symbol >

greater than or equal to symbol ≥

Algebra 49

identity property of addition

identity property of multiplication

inequality

50 How toTalk Math

irrational number

less than symbol <

less than or equal to symbol ≤

Algebra 51

not equal symbol ≠

number sentence

open sentence

52 How toTalk Math

order of operations

parentheses symbols ( )

prime number

Algebra 53

proportion

real number

variable

54 How toTalk Math

Create a Bumper Sticker

Choose one of the math words from your Whole Brain Journal and create a bumper sticker that

shows the meaning of that word. Include a drawing or design that shows the meaning of the

word. Please use your creativity and color!

Algebra 55

Design a Cartoon Strip

Choose one (or as many as you would like) of the math words in this book and create a cartoon

strip that shows the meaning of the word or words. You can use your own characters or your

favorite characters that you know from books and television. Have fun and don’t forget to be

creative and use color.

56 How toTalk Math

Write an Acrostic Poem

You can write an acrostic poem using the directions below.

1. Choose one of the math vocabulary words.

2. Write the word vertically on your paper. Be sure to capitalize each letter.

3. Start each line of the poem with the capital letters you wrote.

4. Each line of the acrostic poem should include a word or phrase related to that word. Please

see the example for reference.

5. For an added bonus, you may choose to make this colorful.

Example: Multiplication Addition Triangle Horizontal Try your own acrostic poem below.

Algebra 57

Super Sentences

Choose fifteen of your vocabulary words and write each one in a complete sentence following the

directions below.

1. Use capital letters and punctuation.

2. Do your best to spell correctly.

3. Underline the vocabulary word.

4. Be sure that the sentence helps people understand what the word means.

Example: The building in Washington, D.C., is called the Pentagon, because it has five sides.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

58 How toTalk Math

Create a Word Search … become more familiar with your new math vocabulary

1. Choose sixteen of your new math words and write them in the word bank at the bottom of this

page.

2. Write the words in the grid. You may do this across (horizontally), up and down (vertically), and

diagonally.

3. Fill in the open spaces with random letters that will hide your words and make it challenging for

your friends to find them.

4. Double check your work to make sure it is neat and accurate.

5. Trade with a partner and start searching for those new math words!

Math Word Search

Word Bank

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

Algebra 59

Glossary – Algebra

Algebra is the part of math in which letters and other

symbols are used to represent numbers and quantities.

Algebraic expression: an expression that

contains a variable. For example, if Brody is 2

inches taller than Nora, and if the variable B

represents Brody’s height, then the algebraic

expression B-2 represents Nora’s height.

Associative property of addition: grouping

the addends in different ways does not

change the sum (answer). For example,

3+(7+5)=(3+7)+5.

Associative property of multiplication:

grouping the factors in different ways does

not change the product (answer). For

example, 2x(5x6)=(2x5)x6

Commutative property of addition: it does

not make a difference in which order the

numbers are added. For example, 2+3=5 and

3+2=5.

Commutative property of multiplication: it

does not make a difference in which order the

numbers are multiplied. For example, 2x3=6

and 3x2=6.

Composite number: numbers that have 3 or

more factors. For example, 6 is a composite

number because it has 4 factors (1, 2, 3, 6).

60 How toTalk Math

Distributive property: a property of real

numbers stating that - a *(b+c)=(a*b) + (a*c).

For example, 3*(40+5)=(3*40)+(3*5).

Equal =: this symbol goes in between two

numbers and symbolizes that the numbers are

the same in value, or equal. For example, 4=4,

½=0.50.

Equation: a number sentence with an = (equal

sign) and a solution. 6-4=2 is an equation.

Equivalent: representing the same number or amount. For example, ½ and 2/4 are equivalent fractions.

Evaluate: to find a numerical expression or

equivalence for an equation, formula, or

function.

Exponent: a number written above and to the

right of another numeral to indicate how

many times the original number is used as a

factor. For example in 23 the number 2 is

multiplied 3 times: 2x2x2.

Expression: a group of mathematical symbols

that represents a number – or can represent a

number if values are assigned to any variables

in the expression. An expression could include

numbers, variables, and operation symbols

such as +, -, x.

Greater than >: this symbol goes between two

numbers and symbolizes that the first number

is greater than the second number. For

example, 4>2.

Algebra 61

Greater than or equal to ≥: The symbol in

between a≥b means that a is greater than or

equal to b. This is known as an inequality.

Identity property of addition: adding zero to a

number gives a sum identical to the given

number. For example, 3+0=3.

Identity property of multiplication:

multiplying a number by 1 gives a product

identical to the given number. For example,

3x1=3.

Inequality: a number sentence with >, <, ≠.

For example, the sentence 8<15 is an

inequality.

Irrational number: a number that can’t be

written as a fraction, where both the

numerator and the denominator are integers

and the denominator is not zero. (pi) is an

example of an irrational number.

Less than <: this symbol goes between two

numbers and symbolizes that the first number

is less than the second number. For example,

2<4.

Less than or equal to ≤: This symbol in

between a≤ b means that a is less than or

equal to b. This is known as an inequality.

Not equal ≠: this symbol goes in between

two numbers and symbolizes that they are not

the same value, or not equal. For example,

4≠9.

Number sentence: similar to an English

sentence, except that it uses math symbols

instead of words. A number sentence must

contain at least two numbers (or variables that

stand for missing numbers) and one relation

symbol (=, <,>).

62 How toTalk Math

Open sentence: a number sentence that has

variables in place of one or more missing

numbers. An open sentence is usually neither

true nor false. For example, 6+x=13 is open.

The sentence would be true if we put a 7 in

the place of x. The sentence would be false if a

3 was put in place of the x.

Order of operations: rules that tell in what

order to perform operations in arithmetic and

algebra. The order of operations is as follows:

1. Do everything in parentheses first.

2. Calculate all the expressions with

exponents.

3. Multiply and divide in order from left

to right.

4. Add and subtract in order from left to

right.

Parentheses ( ): symbols used to group things

and tell us which parts of an expression should

be calculated first.

Prime number: a number greater than 1 that

has exactly 2 factors (1 and itself). 1 has only

one factor so it is not a prime number.

Proportion: a number model that states that

two fractions are equal. The fractions in a

proportion represent rates or ratios. For

example, the problem Ruby’s speed is 12 miles

per hour. At the same speed, how far can she

travel in 3 hours? can be modeled by the

proportion.

12 miles = n miles

1 hour 3 hours

Real Number: any number that is rational or

irrational. Some examples include -35, 0, -5.2,

½.

Variable: a letter or symbol that represents a

number.

Number Sense and Operations

64 How to Talk Math

addend

array

decimal

Number Sense and Operations 65

denominator

difference

digit

66 How to Talk Math

dividend

divisor

equation

Number Sense and Operations 67

equivalent

even number

fact family

68 How to Talk Math

factor

factor pair

fraction

Number Sense and Operations 69

hundredth

improper fraction

multiple

70 How to Talk Math

negative number

numerator

odd number

Number Sense and Operations 71

percent

positive number

product

72 How to Talk Math

quotient

remainder

sum

Number Sense and Operations 73

tenth

thousandth

whole numbers

74 How to Talk Math

Create a Bumper Sticker

Choose one of the math words from your Whole Brain Journal and create a bumper sticker that

shows the meaning of that word. Include a drawing or design that shows the meaning of the

word. Please use your creativity and color!

Number Sense and Operations 75

Design a Cartoon Strip

Choose one (or as many as you would like) of the math words in this book and create a cartoon

strip that shows the meaning of the word or words. You can use your own characters or your

favorite characters that you know from books and television. Have fun and don’t forget to be

creative and use color.

76 How to Talk Math

Write an Acrostic Poem

You can write an acrostic poem using the directions below.

1. Choose one of the math vocabulary words.

2. Write the word vertically on your paper. Be sure to capitalize each letter.

3. Start each line of the poem with the capital letters you wrote.

4. Each line of the acrostic poem should include a word or phrase related to that word. Please

see the example for reference.

5. For an added bonus, you may choose to make this colorful.

Example: Multiplication Addition Triangle Horizontal Try your own acrostic poem below.

Number Sense and Operations 77

Super Sentences

Choose fifteen of your vocabulary words and write each one in a complete sentence following the

directions below.

1. Use capital letters and punctuation.

2. Do your best to spell correctly.

3. Underline the vocabulary word.

4. Be sure that the sentence helps people understand what the word means.

Example: The building in Washington, D.C., is called the Pentagon, because it has five sides.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

78 How to Talk Math

Create a Word Search … become more familiar with your new math vocabulary

1. Choose sixteen of your new math words and write them in the word bank at the bottom of this

page.

2. Write the words in the grid. You may do this across (horizontally), up and down (vertically), and

diagonally.

3. Fill in the open spaces with random letters that will hide your words and make it challenging for

your friends to find them.

4. Double check your work to make sure it is neat and accurate.

5. Trade with a partner and start searching for those new math words!

Math Word Search

Word Bank

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

11. 12.

13. 14.

15. 16.

Number Sense and Operations 79

Glossary – Number Sense

Addend: any one of a set of numbers that are

added. For example, in 4+3+1=8, the addends

are 4, 3, and 1.

Array: an arrangement of objects, pictures, or

numbers in columns and rows.

Decimal: a dot used to separate the ones from

the tenths place in decimal numbers.

Denominator: the number below the line in a

fraction. It shows the total parts of the whole.

(Tip: the D stands for down.)

Difference: the result of subtracting one

number from another number. In 5-3=2, the

difference is 2.

Digit: any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8,

9.

Dividend: the number that is divided in

division. In 12÷4=3, 12 is the dividend.

80 How to Talk Math

Divisor: the number that you divide in

division. In 12÷4=3, 4 is the divisor.

Equation: a number sentence that contains an

equal sign. For example, 10+6=16 is an

equation.

Equivalent: equal to, or the same in value, but

possibly in a different form. For example, ½

and 50% are equivalent.

Even number: a counting number that can be

divided by two. For example, 2, 4, 6, and 8 are

even numbers.

Fact family: a group of related facts using the

same numbers. For example, 3, 4, 12. 3x4=12,

4x3=12, 12÷4=3, 12÷3=4.

Factor: one of two or more numbers that are

multiplied together to get a product. In 4x2=8,

4 and 2 are factors.

Factor pair: a set of two numbers, which,

when multiplied result in a definite number.

For example in 2x4=8 the factor pair is 2 and

4. In 1x8=8, the factor pair is 1 and 8.

Fraction: a number in the form of a/b or ½.

The top number is the numerator and the

bottom number is the denominator. Fractions

name the part of the whole or part of the

collection.

Hundredth: one part of a unit that is divided

equally into one hundred parts. It is written as

0.01 in decimal form and 1/100 as a fraction.

Improper fraction: a fraction whose

numerator is greater than or equal to its

denominator. For example 5/3 and 23/15 are

improper fractions.

Number Sense and Operations 81

Multiple: numbers that are products of a

given number. Some multiples of 4 are: 4, 8,

12, and 16. This is because 4x1=4, 4x2=8,

4x3=12, and 4x4=16. This can continue.

Negative number: a number that is less than

zero. A number that is to the left of the zero

on the number line. The symbol – is used to

represent a negative number. For example

“negative 6” is written as -6.

Numerator: the number above the line in a

fraction. It represents how many pieces or

parts are being discussed. (Tip: the N stands

for north and north is on top.)

Odd number: a counting number that cannot

be equally divided by two. The odd numbers

are 1, 3, 5, 7, 9, and so on.

Percent (%): per hundred or out of one

hundred. For example, the students got 97%

on their math test. That means they got 97

correct out of 100.

Positive number: a number that is greater

than zero; a number to the right of zero on

the number line. A positive number may be

written with the + symbol but is usually

written without it. For example, +10 = 10.

Product: the answer when two or more

factors are multiplied together. In 3x4=12, 12

is the product.

Quotient: the answer to a division problem.

See remainder for an example.

82 How to Talk Math

Remainder: the amount left over when one

number is divided by another number. In

37÷7, we would get 5 remainder 2 because 7

goes into 37 5 times and there are 2 left over.

Sum: the total amount resulting from adding

two or more numbers. In 6+2=8, 8 is the sum.

Tenth: one part of a unit that is divided

equally into ten parts. It is written as 0.1 in

decimal form and 1/10 as a fraction.

Thousandth: one part of a unit that is divided

equally into one thousand parts. It is written

as 0.001 in decimal form and 1/1000 as a

fraction.

Whole numbers: the counting numbers

together with 0. The set of whole numbers is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ….

Scavenger Hunt 83

Scavenger Hunt

Congratulations! You have successfully completed How to Talk Math and learned over 100 new

math words. Now it is time to go on a scavenger hunt to find real-life examples of some of your

new vocabulary. Your job is to write specific examples for each math word. You can look at home,

outside, online, in the newspaper, around school, and many other places.

Please see some examples to get you started and add as many more as you can. BONUS - Use

your phone or tablet to take pictures of what you find and share with your friends.

array a dozen eggs

circumference

cone

congruent

84 How to Talk Math

cube

decimal the toy in the store is $23.99

exponent

equation

fraction

maximum

Scavenger Hunt 85

minimum

Negative numbers Low temperature in the newspaper said -4. Brr.

Parallel

Percent

Perimeter the fence in a backyard

Variable

86 How to Talk Math

Math Enrichment Activities

Choose an activity to do alone, with a partner, or with a small group. When you have completed a

task, share it with your teacher. Put an X in the box when you are finished with the task.

Challenge yourself and see how many activities you can complete.

Create a game that uses at

least TEN of the math

vocabulary words from this

book (board game, activity,

game show, etc.).

Write a rap song or other song

that includes at least FIVE

words from this book and

their meanings.

Create a test with at least

TWENTY of the words from

this book. It should include

multiple choice questions and

true or false questions.

Choose at least TEN of the

words from this book and

write a funny story that

includes the words and their

meanings. This can be a true

story or made up.

Create a skit or puppet show

that teaches your audience at

least TEN of the math

vocabulary words from this

book.

Find a book in your library or

online about math. Read it

and tell your classmates about

it.

Interview an adult to find out

how they use math in their

career and/or their daily life.

Put a PowerPoint presentation

together that teaches others

the meaning of FIFTEEN of the

math vocabulary words from

this book.

Design a poster that includes

FIVE of your new vocabulary

words, their definitions, and

pictures or examples of the

words.

87

About the Author

Brett Bernard began his teaching career in 1995. He has spent his entire career developing and

implementing strategies to engage students and use their unique talents as part of his instruction.

Mr. Bernard has many life-experiences that he uses as examples to inspire others to learn and to

motivate others to reach for their dreams. He was a member of the U.S.A. Unicycle Team and the

National Champion of Unicycling in 1991, 1992, 1993, and 1994. Brett reached his dream of

becoming the World Champion of Unicycling in 1994.

Brett and his wife, Allison, met as teachers when they had classrooms right next door to each

other. They have two kids, Brody and Nora.

Mr. Bernard has his M. Ed in Curriculum and Instruction/Educational Leadership, is a teacher-

observer, and Track and Field Coach. He has done seminars for educators around the country,

and he is the author of a weekly newsletter that is read by teachers all across the nation. To

subscribe to Brett Bernard’s FREE newsletter, visit:

www.brettbernard.com

You may also contact the author at:

[email protected]