Maricopa Community Colleges  MAT083   20016-99999 

Official Course Description:  MCCCD Approval:  4-28-2009

MAT083  2009 Fall – 2011 Summer II

LEC  5.0 Credit(s)  5.0 Period(s)  5.0 Load  Acad

Basic Arithmetic Expanded

Additional review of basic arithmetic skills. Fundamental operations with whole numbers, common fractions, decimals, and percentages. Additional topics include math anxiety reduction techniques, study skills, and test-taking strategies.

Prerequisites: None.

 

Course Notes: Students may receive credit for only one of the following: MAT081, MAT082, or MAT083.

 

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MCCCD Official Course Competencies:

 

MAT083  2009 Fall – 2011 Summer II

Basic Arithmetic Expanded

 

1.

Define math anxiety and describe several common symptoms of math anxiety. (I)

2.

List and describe the common causes of math anxiety. (II)

3.

Analyze the mathematical requirements of personal career choices, and describe the consequences of math avoidance on career choices. (III)

4.

Explain and practice techniques for coping with math anxiety, including study skills and test-taking strategies. (IV)

5.

Read and write the number symbols and number words of whole numbers. (V)

6.

Add, subtract, multiply, and divide whole numbers. (V)

7.

Calculate expressions involving more than one operation, using the order of operations rule with whole numbers. (V)

8.

Round off whole numbers. (V)

9.

Estimate sums, differences, products, and quotients of whole numbers. (V)

10.

Solve word problems involving the arithmetic of whole numbers. (V)

11.

Identify by name the commutative and associative laws of addition and multiplication as related to whole numbers. (V)

12.

Evaluate arithmetic expressions involving exponents and simple roots of whole numbers. (V)

13.

Write whole numbers in expanded notation using exponents. (V)

14.

Write a whole number as a product of primes or declare the whole number prime. (V)

15.

Use a hand-held calculator to perform whole number calculations with more than one operation. (V)

16.

Read and write the number symbols and number words of fractions. (VI)

17.

Add, subtract, multiply and divide fractions. (VI)

18.

Compare fractions to determine size and equivalence. (VI)

19.

Calculate expressions involving more than one operation, using the order of operations rule with fractions. (VI)

20.

Estimate sums, differences, products, and quotients of fractions. (VI)

21.

Solve word problems involving the arithmetic of fractions. (VI)

22.

Identify by name the commutative and associative laws of addition and multiplication as related to fractions. (VI)

23.

Evaluate arithmetic expressions involving exponents and simple roots of fractions. (VI)

24.

Solve problems using ratio and proportion. (VI, VIII)

25.

Simplify (reduce) fractions. (VI)

26.

Write fractions as proper, improper, or mixed and convert between improper and mixed fractions. (VI)

27.

Use the basic operations of signed numbers. (VII)

28.

Read and write the number symbols and number words of decimals. (VIII)

29.

Add, subtract, multiply, and divide decimals. (VIII)

30.

Calculate expressions involving more than one operation, using the order of operations rule with decimals. (VIII)

31.

Round off decimals (VIII)

32.

Estimate sums, differences, products, and quotients of decimals. (VIII)

33.

identify by name the commutative and associative laws of addition and multiplication as related to decimals. (VIII)

34.

Write decimals in expanded notation using exponents. (VIII)

35.

Use a hand-held calculator to perform decimal calculations with more than one operation. (VIII)

36.

Differentiate between terminating decimal and a repeating decimal. (VIII)

37.

Show the equivalent relationship of fraction, decimals, and percents. (VI, VIII, IX)

38.

Solve word problems involving the arithmetic of percents. (IX)

39.

Read bar graphs, line graphs, and pic graphs. (X)

40.

Change units of length, weight, volume, and time within the United States customary system and the metric system. (XI)

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MCCCD Official Course Outline:

 

MAT083  2009 Fall – 2011 Summer II

Basic Arithmetic Expanded

I. Defining Math Anxiety

A. The physiology of anxiety

B. Relationship of anxiety to cognitive processes

C. Disabling effects of math anxiety

II. Cause of Math Anxiety

A. Math myths

B. Former experiences with math

C. Self-defeating beliefs

D. Self-fulfilling prophecies

III. Limitations of Math Anxiety

A. Career Choices

B. Analysis of mathematical requirements of students' career choices

C. Long-term effects of math avoidance on academic and career choices

IV. Overcoming math Anxiety

A. Interaction of cognitive processes and emotion

B. Self-talk exercise

C. Relaxation and desensitization

D. Study skills

E. Test-taking strategies

V. Whole Numbers

A. Number symbols and number words

1. Reading

2. Writing

B. Place value

C. Skills

1. Addition

2. Subtraction

3. Multiplication

4. Division

5. Order of operations rule

D. Applications

1. Rounding off

2. Estimation

3. Word Problems

4. Laws of arithmetic

a. Commutative

b. Associative

c. Other

5. Exponents and roots

6. Expanded notation

7. Prime factorization

E. Using the calculator

VI. Fractions

A. Number symbols and number words

1. Reading

2. Writing

B. Skills

1. Equivalence

2. Comparison

3. Addition

4. Subtraction

5. Multiplication

6. Division

7. Orders of operations rule

C. Applications

1. Estimations

2. Word problems

3. Laws of arithmetic

a. Commutative

b. Associative

c. Other

4. Exponents and roots

5. Ratio and proportion

6. Simplification

7. Proper, improper, and mixed fraction

VII. Arithmetic of Signed Numbers

A. Adding

B. Subtracting

C. Multiplying

D. Dividing

E. Opposites

F. Absolute value

VIII. Decimals

A. Number symbols and number words

1. Reading

2. Writing

B. Place value

C. Comparison

D. Skills

1. Addition

2. Subtraction

3. Multiplication

4. Division

5. Order of operations rule

E. Applications

1. Rounding off

2. Estimation

3. Word Problems

4. Laws of Arithmetic

a. Commutative

b. Associative

c. Other

5. Exponents and roots

6. Expanded notation

7. Ratio and proportion

8. Terminating and repeating decimals

F. Using the calculator

IX. Percents

A. Meaning of percent

B. Percents, fractions, and decimals relationships

C. Percentage

1. Finding percent

2. Finding rate

3. Finding base

D. Word Problems

X. Graphs

A. Bar

B. Line

C. Pie

XI. Measurement and Conversion

A. United States Customary

1. Length

2. Weight

3. Volume

4. Time

5. Other

B. Metric

1. Length

2. Weight

3. Volume

4. Time

5. Other

 

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