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FUNDAMENTAL OF ARITHMETIC AND ALGEBRA

COURSE OUTLINE

I. Whole Numbers

A. Place Value
B. Addition, Subtraction , Multiplication and Division of Whole Numbers
C. Exponential Notation
D. Prime Numbers and Factoring
E. Order of Operation
F. Rounding and Estimation
G. Application with Whole Numbers

II. Fractions

A. The Concept of Fractions
B. Simplifying Fractions
C. Improper Fractions and Mixed Numbers
D. Least Common Denominator and Building Fractions
E. Addition, Subtraction, Multiplication and Division of Fractions and Mixed Numbers
F. Applications with Fractions

III. Decimals

A. Decimal Notation and Place Value
B. Comparing , Ordering and Rounding Decimal
C. Addition, Subtraction, Multiplication and Division of Decimals
D. Conversions between Fractions and Decimals
E. Order of Operations with Decimals
F. Applications with Decimal

IV. Ratios and Proportions

A. Ratios and Rates
B. Understand the Concept of Proportions
C. Solving Proportions
D. Applications with Proportions

V. Percents

A. Understand Percents
B. Converting between Percents, Decimals, and Fractions
C. Solving Basic Percent Problems
D. Applications with Percents

VI. Measurement with American Units

A. Length
B. Volume
C. Weight
D. Time

VII. Geometry

A. Area of the fol lowing figures :

1. Squares
2. Rectangles
3. Triangles

B. Perimeter of any figure
C. Circles

1. Circumference
2. Area

D. Understand Angles in Triangles
E. Volume

1. Cylinder
2. Prism

VIII. Signed Numbers

A. Addition, Subtraction, Multiplication and Division of Signed Numbers
B. Order of Operations with Signed Numbers

IX. Introduction to Algebra
A. Variables and Like Terms
B. The Distributive Property
C. Solving Equations using :

1. Addition Property
2. Multiplication or Division Property
3. Using two of the above Properties

On completion of course, students will be able to:

• Use Basic operations with whole numbers and applied word problems.
• Use Basic operations with decimals and applied to word problems.
• Use Basic operations with fractions and applied to word problems.
• Work in percent, ratios, and proportion problems .
• Draw and use the number line and operations with signed numbers.
• Use Basic algebraic operations .
• Solve Fundamental algebraic equations

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