Whole Numbers In this module, you will begin by learning how numbers are named and the concept of place value.  You will learn the definition of a whole number and its properties.  In addition, you will add, subtract, multiply, and divide whole numbers.  Then you will learn how to estimate whole numbers, and lastly you will be shown techniques on how to round up whole numbers. Learning Objectives Upon completion of this module, you should be able to: 1A define whole numbers. 1B describe the notation and properties of whole numbers. 1C add and subtract whole numbers. 1D multiply and divide whole numbers. 1E evaluate exponents. 2A simplify using the order of operations. 6A identify the estimations of whole numbers. 6B round up whole numbers. 7A solve one-step equations with whole numbers. 8A solve word problems with whole numbers. Module 1 Reading Assignment Bittinger, M. L. (2010).  Basic college mathematics (11th ed.). Boston: Addison-Wesley (Pearson Education). Chapter 1. Fraction Notation: Multiplication and Division This module will focus on fractions and their properties.  You will begin by applying factorization.  Then you will learn about fraction notations and how to use natural numbers.  In addition, you will multiply and simplify fractions.  It is important to pay attention to the necessary steps involved in order to arrive at the correct answer. Learning Objectives Upon completion of this module, you should be able to: 1F define fractions and their properties. 1G identify fraction notations. 1H multiply fractions. 1I divide fractions. 1J simplify fractions. Module 2 Reading Assignment Bittinger, M. L. (2010).  Basic college mathematics (11th ed.). Boston: Addison-Wesle In this module, you will learn about mixed fractions.  The key to solving problems that involve mixed fractions is finding the least common denominator (LCD) or the least common multiple (LCM) of denominators.  You will then learn the differences between simple and mixed fractions.  In addition, you will apply the skills that you have learned and will add, subtract, multiply, and divide mixed fractions.  Lastly, you will be shown how to use the order of operations when working with mixed fractions. Learning Objectives Upon completion of this module, you should be able to: 1K define mixed fractions. 1L recognize the differences between simple and mixed fractions. 1M add and subtract mixed fractions. 1N multiply and divide mixed fractions. 6C describe estimation and the order of operations when using mixed fractions. Module 3 Reading Assignment This module will focus on decimals.  The word decimal comes from the Latin word decima, which means a tenth part.  You will learn about decimal notation and how to distinguish between fractions and decimals.  In addition, you will learn how to convert fractions to decimals and decimals to fractions.  Lastly, this module will provide techniques on how to add, subtract, multiply, and divide decimals. Learning Ob.

1. Whole Numbers
In this module, you will begin by learning how numbers are
named and the concept of place value. You will learn the
definition of a whole number and its properties. In addition,
you will add, subtract, multiply, and divide whole numbers.
Then you will learn how to estimate whole numbers, and lastly
you will be shown techniques on how to round up whole
numbers.
Learning Objectives
Upon completion of this module, you should be able to:
1A
define whole numbers.
1B
describe the notation and properties of whole numbers.
1C
add and subtract whole numbers.
1D
multiply and divide whole numbers.
1E
evaluate exponents.
2A
simplify using the order of operations.
6A
identify the estimations of whole numbers.
6B
round up whole numbers.

2. 7A
solve one-step equations with whole numbers.
8A
solve word problems with whole numbers.
Module 1 Reading Assignment
Bittinger, M. L. (2010). Basic college mathematics (11th ed.).
Boston: Addison-Wesley (Pearson Education). Chapter 1.
Fraction Notation: Multiplication and Division
This module will focus on fractions and their properties. You
will begin by applying factorization. Then you will learn about
fraction notations and how to use natural numbers. In addition,
you will multiply and simplify fractions. It is important to pay
attention to the necessary steps involved in order to arrive at the
correct answer.
Learning Objectives
Upon completion of this module, you should be able to:
1F
define fractions and their properties.
1G
identify fraction notations.
1H
multiply fractions.
1I
divide fractions.
1J
simplify fractions.
Module 2 Reading Assignment
Bittinger, M. L. (2010). Basic college mathematics (11th ed.).
Boston: Addison-Wesle

3. In this module, you will learn about mixed fractions. The key
to solving problems that involve mixed fractions is finding the
least common denominator (LCD) or the least common multiple
(LCM) of denominators. You will then learn the differences
between simple and mixed fractions. In addition, you will
apply the skills that you have learned and will add, subtract,
multiply, and divide mixed fractions. Lastly, you will be shown
how to use the order of operations when working with mixed
fractions.
Learning Objectives
Upon completion of this module, you should be able to:
1K
define mixed fractions.
1L
recognize the differences between simple and mixed fractions.
1M
add and subtract mixed fractions.
1N
multiply and divide mixed fractions.
6C
describe estimation and the order of operations when using
mixed fractions.
Module 3 Reading Assignment
This module will focus on decimals. The word decimal comes
from the Latin word decima, which means a tenth part. You
will learn about decimal notation and how to distinguish
between fractions and decimals. In addition, you will learn how
to convert fractions to decimals and decimals to fractions.
Lastly, this module will provide techniques on how to add,
subtract, multiply, and divide decimals.
Learning Objectives

4. Upon completion of this module, you should be able to:
1O
define decimals.
1P
identify notation of decimals.
1Q
distinguish between fractions and decimals.
1R
convert fractions to decimals.
1S
add and subtract decimals.
1T
multiply and divide decimals.
6D
describe estimation of decimals.
Module 4 Reading Assignment
Decimal Notation
This module will focus on decimals. The word decimal comes
from the Latin word decima, which means a tenth part. You
will learn about decimal notation and how to distinguish
between fractions and decimals. In addition, you will learn how
to convert fractions to decimals and decimals to fractions.
Lastly, this module will provide techniques on how to add,
subtract, multiply, and divide decimals.
Learning Objectives
Upon completion of this module, you should be able to:
1O
define decimals.

5. 1P
identify notation of decimals.
1Q
distinguish between fractions and decimals.
1R
convert fractions to decimals.
1S
add and subtract decimals.
1T
multiply and divide decimals.
6D
describe estimation of decimals.
Module 4 Reading Assignmen
Ratio, Proportion, and Percent Notation
In this module, you will learn about ratios and proportions. A
ratio is the quotient of two quantities. When two pairs of
numbers have the same ratio, they are considered proportional.
You will learn how to solve arithmetic problems using ratios
and proportions. This module will also focus on percentages.
Percent notation is often represented using a circle graph or pie
chart to show how the parts of a quantity are related. You will
learn how to solve problems using percent equations and
proportions. In addition, you will compute simple and
compound interest while using interest rates, sales tax,
commission rates, and discounts.
Learning Objectives
Upon completion of this module, you should be able to:
3A
define ratios and proportions.

6. 3B
distinguish between ratios and proportions.
3C
solve arithmetic problems using ratios and proportions.
3D
define percentages.
3E
identify examples of percentages and their notation.
7B
solve problems using percent equations and proportions.
7C
compute simple and compound interest.
7D
describe interest rates, sales tax, commission rates, and
discounts.
Module 5 Reading Assignment
Data, Graphs, Statistics, and Measurement
This module will focus on data, graphs, statistics, and
measurement. You will begin by examining the different types
of graphs and their various uses. You will learn about the
different indices of central tendencies. Also, the various ways
to present data will be included in this module. In addition, you
will learn about measurement. There are different units of
measurement, especially between the American system of
measurement and the metric system of measurement. Lastly,
you will learn how to calculate mass, weight, volume, time, and
temperature.
Learning Objectives
Upon completion of this module, you should be able to:

7. 5A
identify examples of statistical data and graphical displays.
5B
name the different types of graphs and their uses.
5C
examine the different indices of central tendencies.
5D
analyze the various ways to present data.
7E
define measurement.
7F
define the different units of measurement.
7G
differentiate between the American and the metric systems of
measurement.
7H
calculate mass, weight, volume, time, and temperature.
7I
solve arithmetic problems related to measurements.
Module 6 Reading Assignment
Geometry and Real Numbers
In this module, you will learn about the basic concepts of
geometry. You will learn how to distinguish among the
different geometric shapes and will learn how to distinguish
among area, volume, and perimeter. This module will instruct
you on the ways to compute area, volume, and perimeter using
the appropriate formulas. You will also solve problems using

8. square roots and will apply the Pythagorean Theorem to solve
geometry problems. Lastly, you will learn about real numbers
and its problems. You will learn how to add, subtract, multiply,
and divide real numbers.
Learning Objectives
Upon completion of this module, you should be able to:
1U
define real numbers.
1V
identify the properties of real numbers.
1W
add and subtract real numbers.
1X
multiply and divide real numbers.
4A
define geometry and the need to study geometry.
4B
distinguish among the different geometric shapes.
4C
differentiate among area, volume, and perimeter.
4D
compute area, volume, and perimeter using the appropriate
formulas.
4E
describe angles and triangles.
4F

9. solve problems using square roots.
4G
apply the Pythagorean Theorem to solve geometry problems.
Module 7 Reading Assignment
Algebra: Solving Equations and Problems
This module will focus on algebra and its expressions. You will
learn about algebraic properties by analyzing examples and will
be given a list of rules for solving algebraic equations. You
will learn how to differentiate between linear equations and
expressions. Lastly, you will solve algebraic equations using
the rules and steps that you have learned in this module.
Learning Objectives
Upon completion of this module, you should be able to:
8B
define algebra.
8C
recognize algebraic expressions.
8D
explain algebraic properties using examples.
8E
list the rules for solving algebraic equations.
8F
differentiate between linear equations and expressions.
8G
describe the steps involved in solving algebraic equations.
8H
solve algebraic problems.
Module 8 Reading Assignment

10. Running head: [INSERT TITLE HERE]
[INSERT TITLE HERE]
Student Name
Allied American University
Author Note
This paper was prepared for [INSERT COURSE NAME],
[INSERT COURSE ASSIGNMENT] taught by [INSERT
INSTRUCTOR’S NAME].
PART I: EXERCISES
Directions: Answer each of the following questions. When
appropriate, please show work.
1. What are variables and coefficients?
2. Evaluate x + y when x = 5 and y = -7.

11. 3. Evaluate when x = 18 and y = 2.
4. What law or property do we use to multiply a real number
times an expression?
5. Multiply: 8(2 – n)
6. Multiply: -2(y – 1)
7. Recall from earlier what the GCF is and how to find it.
8. Factor: 28 – 35x
9. Factor: 9a + 27 + 45b
10. How do we know when we have like terms?
11. Collect like terms: 3x – 15y – 8x + y
12. Collect like terms: -4a + b + 6a – 12b
13. What is the Addition Principle?
14. Solve: t + 9 = 23
15. Solve: t – 7 = 21
16. What is the Multiplication Principle?
17. Solve: 7t = -42
18. Solve:
19. Solve: 6t + 4 = 7t - 1

12. 20. How can we rewrite an equation so that it has no fractions?
21. Solve:
22. Solve: 5 – t = 14
23. Solve:
24. Solve: 2.4t + 4.5 = 3.6t – 1.9 – 0.4t
25. Solve: 6(t + 4) = 54
26. Solve: -3t – 2(t – 1) = 5
27. Translate to an algebraic expression: Three less than some
number.
28. The perimeter of a rectangular piece of poster board is 96
in. The length is 8 in. greater than the width. Find the width
and the length.
29. Joseph allocates $800 to hotel stays. This represents 36%
of his expense budget. Find his expense budget.
30. A 19-ft board is cut into two pieces. One piece is 3 ft
longer than the other. How long are the pieces?
31. What is the formula for finding the amount in an account
after t years using simple interest?
32. Money is invested in a savings account at 5% simple
interest. After 1 year, there is $262.50 in the account. How
much was originally invested?
33. When 18 is subtracted from four times a certain number,
the result is 5/2 the original number. What is the number?

13. 34. What is the sum of all of the angles in a triangle?
35. The second angle of a triangle is three times as large as the
first. The third angle is 20 degrees less than the sum of the
other two angles. Find the measure of the first angle.
PART II: JOURNAL ACTIVITY
Directions: Write a page about how the previous Modules build
a foundation for working problems in Algebra. Also, define and
discuss what Algebra is and its origins. Please ensure to
document all sources that you utilize and remember to use
proper APA format. For APA formatting guidelines, please
visit the Academic Resource Center (ARC).