Course Number: MS095
Course Title: Pre-Algebra

STUDENT LEARNING OUTCOMES

General 

Students will be able to:

1. add and subtract whole numbers
2. multiply and divide whole numbers
3. perform operations with integers
4. find factors and calculate multiples
5. perform operations with fractions
6. perform operations with decimals
7. calculate ratios, proportions, and percentages
8. measurement, geometry, statistics and the usage of formulas
9. solve basic algebraic expressions

Specific 

Students will be able to:

1. add and subtract whole numbers
    a. add and subtract whole numbers
    b. determine decimal place values
    c. round, estimate, and put whole numbers into order
    d. borrow and carry
    e. list and describe the properties of addition
    f. solve applications involving addition and subtraction

2. multiply and divide whole numbers
    a. list and describe the properties of multiplication
    b. multiply and divide by numbers with more than one digit
    c. demonstrate usage of the long division algorithm
    d. solve applications involving multiplication and division

3. perform operations with integers
    a. add and subtract integers
    b. multiply and divide integers
    3. calculate exponential expressions involving integers

4. find factors and calculate multiples
    a. distinguish between prime and composite numbers
    b. write composite numbers as products of prime numbers
    c. find the Greatest Common Factor
    d. find the Least Common Multiple

5. perform operations with fractions
    a. identify and distinguish proper & improper fractions, and mixed numbers
    b. convert improper fractions to mixed numbers and vice-versa
    c. determine whether fraction are equivalent simplify fractions
    d. multiply and divide fractions
    e. multiply fractions and mixed numbers
    f. simplify and dividing fractions
    g. add and subtraction fractions
    h. find the Least Common Denominator
    i. add and subtract fractions with different denominators
    j. add and subtract mixed numbers
    k. solve applications involving fractions

6. perform operations with decimals
    a. add and subtract of decimals
    b. determine place value in decimal fractions
    c. round decimals
    d. convert decimals to fractions
    e. multiply and divide decimals
    f. multiply and divide decimals by whole numbers
    g. multiply and divide decimals by powers of 10
    h. perform operations using scientific notation

7. calculate ratios, proportions, and percentages
    a. define the terms used with ratios and proportions
    b. solve ratio and proportion problems
    c. define the meaning of percent
    d. changing percent to fractions and decimals and back
    e. identify rate, base, and amount
    f. solve applications and word problems with ratios, proportions, and percent

8. measurement, geometry, statistics and the usage of formulas
    a. define the English system of measurement
    b. define the metric system of measurement
    c. describe the units of these systems
    d. describe the correlation of weight, volume, and length
    e. identify and distinguish lines, angles, and simple geometric figures
    f. describe the parts of a graph including the quadrants, axes, and ordered pairs
    g. recognize graphs of geometric figures
    h. find perimeter and circumference
    i. find area and volume from formulas
    j. Calculate square roots and the Pythagorean Theorem
    k. define and calculate basic terms of statistics

    l.  determine mean, mode, range, and median

9. solve basic algebraic expressions
    a. distinguish real numbers and subsets
    b. distinguish between equations and expressions
    c. calculate using positive and negative values and the rules of operation
    d. solve problems using the steps for solving equations
    e. evaluate algebraic expressions
    f. convert statements to equations
    g. solve basic equations with positive and negative values