**Course Description**

Students taking Occupational Math compute with rational numbers. Students
use ratio and

proportion and formulas to solve problems. In each topic area, students solve
application

problems.

**Course Prerequisites**

none

**Textbooks**

Math Review

Author: Peter C. Esser

Publisher: Lulu.com

Source: SWTC Bookstore or directly from Lulu.com

**Supplies**

Scientific Calculator

Notebook

**Target Exit Learning Outcomes**

**General Education Outcomes**

A. Solve problems

**Core Abilities**

A. Act Professionally

B. Communicate Clearly

C. Value Learning

D. Work Productively

E. Work Cooperatively

F. Solve Problems

**Performance Expectations**

Goals

1. Compute using rational numbers

2. Compute using formulas.

3. Compute with proportions

4. Apply computational skills to application problems

**1. Compute using rational numbers **

Criteria - Criteria - Performance will be satisfactory
when:

o learner writes intermediate computation steps when solving generic rational
number (add,

subtract , multiply, divide: fractions, decimals, and percents) problems.

o final answer to a generic rational number problem is written to the tolerance
specified with

each question. (Example: " Round answer to nearest tenth of an inch.")

o learner successfully answers 80% of all questions.

o learner completes test within scheduled class period.

Conditions for Assessment - Conditions - Competence will
be demonstrated:

o Student may not use the Math Review textbook while taking quizzes and tests.

o Student may use pencil, blank paper, calculator, and 1/2 page of notes for all
chapter tests.

o In chapter tests.

**Learning Objectives**

a. Convert among different fraction forms (common, improper, mixed).

b. Compare relative size of given fractions.

c. Use " multiply top times top bottom times bottom" idea to multiply fractions
together.

d. Use "invert and multiply" idea to divide fractions .

e. Add and subtract fractions by putting fractions in common denominator form.

f. Explain decimal positional notation system .

g. Convert decimal to fractions and vice versa.

h. Round decimals to specified place value.

i. Convert decimal to a specified fractional value (ex: to the nearest 64th or
nearest 32nd.)

j. Compute with decimals using the four basic operations.

k. Solve basic word problems using decimal computational skills.

l. Convert among fractional, decimal, and percent form.

m. Identify the components of generic and word percent problems. Part, Base,
Rate

n. Solve percent problems by determining components known and solving for the
component

to be found.

**2. Compute using formulas.**

Criteria - Criteria - Performance will be satisfactory
when:

o learner demonstrates understanding of a given formula's variables by
substituting given

values into the correct position in the formula.

o answer is written to the indicated precision.

o answer is written with the correct unit of measure.

o student completes quiz/unit test with an 80% or higher score.

Conditions for Assessment - Conditions - Competence will
be demonstrated:

o when learner completes unit test.

**Learning Objectives**

a. Review symbolic notation (eg sq. roots, other symbols for multiplication,
exponents)

b. Review calculator skills

c. List the four levels of mathematical operations as indicated by the Order of
Operations .

d. Compute multi-operation expressions using the Order of Operations.

e. Determine the purpose of each variable and constant in a formula.

f. Substitute known values into the formula.

g. Evaluate the formula with calculator using the Order of Operations.

h. Express answer to the required accuracy with the correct units of measure.

i. Discuss how to obtain a reasonable estimate for the answer that can be used
to check the

final computed value.

**3. Compute with proportions**

Criteria - Criteria - Performance will be satisfactory
when:

o ratios are reduced to lowest terms

o ratios are written in the proper order

o learner shows the proportion set-up

o answer contains the correct units

o answer is within +- 1% of actual value

Conditions for Assessment - Conditions for assessment:

o in a unit test

o using a calculator

**Learning Objectives**

a. Write ratios based on given information

b. Solve existing proportions for an unknown

c. Classify direct and indirect proportions

d. Solve a problem by setting up and using a direct proportion

e. Solve a problem by setting up and using an indirect proportion

f. Apply skills to an application problem

**4. Apply computational skills to application problems**

Criteria - Criteria - Performance will be satisfactory
when:

o learner writes intermediate computation steps when solving generic rational
number (add,

subtract, multiply, divide: fractions, decimals, and percents) problems.

o final answer to a generic rational number problem is written to the tolerance
specified with

each question. (Example: " Round answer to nearest tenth of an inch.")

o learner successfully answers 80% of all questions.

o learner completes test within scheduled class period.

Conditions for Assessment - Conditions - Competence will
be demonstrated:

o Student may not use the Math Review textbook while taking quizzes and tests.

o Student may use pencil, blank paper, calculator, and 1/2 page of notes for all
chapter tests.

o In chapter tests.

o In order to complete the entire Applied Math course, Chapters 1-3 should be
completed by

the fifth week

**Learning Objectives**

a. Read problem thoroughly to understand what is to be determined or solved.

b. Determine whether or not enough information is given to solve the given
problem.

c. Determine the mathematical operation(s) needed to solve the problem.

d. Select the numbers necessary to solve the problem.

e. Estimate a reasonable answer for the given problem.

f. Compute with selected numbers and selected mathematical operations.