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Math 034 Arithmetic


A review of the fundamental operations of arithmetic including addition, subtraction, multiplication, and division of whole numbers, decimals and fractions. This is an adaptor course designed for those students who need to review and improve their knowledge of the fundamentals of mathematics.

During this course, the student will be expected to:

1. Apply the four arithmetic operations to whole numbers, fractions and decimals.
1.1 Apply the four arithmetic operations to whole numbers.
1.2 Apply the four arithmetic operations to decimals.
1.3 Add fractions with like denominators.
1.4 Add fractions with unlike denominators.
1.5 Subtract fractions with like denominators.
1.6 Subtract fractions with unlike denominators.
1.7 Add mixed numbers.
1.8 Subtract mixed numbers.
1.9 Multiply and divide fractions, whole, and mixed numbers.

2. Relate number theory to arithmetic calculations.
2.1 Write a word name for a number in standard or decimal notation.
2.2 Write a number in standard or decimal notation from a word name.
2.3 Write a word name for an amount of money and visa versa.
2.4 Write related sentences.
2.5 Write true number sentences using < or >.
2.6 Round numbers to a given place value.
2.7 Apply rules for exponential notation.
2.8 Simplify expressions using the rules for order of operations.
2.9 Find the factors and multiples of a number.
2.10 Find the GCF of two or more numbers.
2.11 Find the LCM of two or more numbers.

3. Execute calculations involving ratio and proportion.
3.1 Write ratios in fractional notation.
3.2 Write ratios and proportions for verbal problems.
3.3 Determine whether two pairs of numbers are proportional.
3.4 Solve proportions.
3.5 Define rate.
3.6 Define unit price.

4. Convert between fractional, decimal, and percent notation.
4.1 Convert between proper fractions and mixed numbers.
4.2 Convert between dollars and cents.
4.3 Convert between rational and decimal fractions.

5. Calculate with percents.
5.1 Translate percent problems into a standard model.
5.2 Calculate sales tax, commission, discounts and interest.

6. Relate simple statistics to problems.
6.1 Read data from tables, charts, and various graphs.
6.2 Interpret data from tables, charts, and various graphs.
6.3 Construct simple pictographs, bar graphs, line graphs, and circle graphs.
6.4 Distinguish between mean, median, and mode.
6.5 Compute mean, medium and mode.

7. Convert measurements within the Metric and American systems and between systems.
7.1 State the common units of measure of weight and mass, capacity, time and length.
7.2 Convert from one unit of time to another.
7.3 Convert from one American unit to another.
7.4 Convert from one Metric unit to another.
7.5 Convert between Metric and American units.
7.6 Convert between Celsius and Fahrenheit temperature scales.

8. Calculate the perimeter, area and volume of various geometric figures.
8.1 Calculate perimeter and circumference.
8.2 Relate diameter to radius.
8.3 Find the area of parallelograms (including squares and rectangles), triangles, trapezoids, and circles.
8.4 Calculate the volume of a rectangular solid, cylinder, sphere and cone.

9. Use square roots and the Pythagorean Theorem to solve right triangles.
9.1 Simplify expressions involving the square root of a perfect square.
9.2 Estimate square roots.
9.3 Find the length of the third side of a triangle using the Phythagorean Theorem.

10. Use estimation techniques to check the reasonableness of results.
10.1 Estimate sums and differences by rounding.
10.2 Estimate products by rounding.
10.3 Estimate quotients by rounding.
10.4 Use approximate measures to check unit conversions.

11. Solve word problems involving any of the above.
11.1 Determine what information in a problem is pertinent.
11.2 Determine what operations will be necessary in solving the problem.
11.3 Translate word problems into equations or other strategies.
11.4 Check the feasibility of the answer.