Course Description
The student will study arithmetic concepts, including the four operations of real numbers, rates, proportions, and measurements. This course includes an introduction to algebra in simplifying expressions and solving simple linear equations. Computations and applications will be stressed. This course is designed to prepare students for college-level coursework.
Prerequisite(s)
Appropriate assessment score
Repeatable for Credit
Yes
Repeatable Times
Developmental- Repeat 2 Times
At the end of this course, students will be able to:
- Add, subtract, multiply, and divide real numbers.
- Apply the order of operations to simplify expressions involving exponents and real numbers.
- Classify, order, and compare real numbers.
- Write equivalent numerals for percents, fractions, and decimals.
- Write comparisons as ratios and/or rates, and solve problems with proportions.
- Compute with percents (using percent equation and/or proportion method).
- Evaluate variable expressions.
- Simplify variable expressions (using distributive property to eliminate parenthesis when necessary).
- Solve simple linear equations [a+x = b, ax = b, ax+b = c, ax+b = cx+d, a(x+b) = c].
- Convert units of measurement and area (including metric system).
- Solve application problems involving real numbers.
Topical Outline
1. Whole Numbers
a. Operations with whole numbers
b. Rounding and estimation
c. Exponents
d. Order of operations
2. Integers and Algebraic Expressions
a. Absolute value and opposites
b. Operations with integers and algebraic expressions
c. Order of operations
3. Solving Linear Equations
a. Simplifying expressions in equations
b. Solving linear equations using the properties of equality
c. Applications of linear equations
4. Fractions and Mixed Numbers
a. Simplifying fractions and equivalent fractions
b. Improper fractions and mixed numbers
c. Operations with fractions and mixed numbers
d. Order of operations
e. Solving equations containing fractions
5. Decimals
a. Rounding
b. Operations with decimals
c. Fractions and decimals
d. Order of operations
e. Solving equations containing decimals
f. Mean, median, and mode
6. Ratio and Proportion
a. Ratios and rates
b. Unit cost
c. Solving proportions and applications
7. Percents
a. Percents, fractions, and decimals
b. Percent proportions and applications
c. Percent equations and applications: sales tax, commission, discount, markup, percent increase/decrease, simple, and compound interest
8. Measurement and Geometry
a. US customary units of measurement
b. Metric units of measurement
c. Converting between US and Metric units
d. Applications of measurement
e. Lines and angles
f. Triangles and Pythagorean Theorem
g. Perimeter, area, and circumference
9. Graphs and Statistics
a. Rectangular coordinate system
b. Graphing two-variable equations
c. Tables, bar graphs, pictographs, and line graphs
d. Frequency distributions, histograms, and circle graphs
e. Introduction to probability