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Dec 05, 2024
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MAT 045 - Fundamentals of Math Credits: 4 Lecture Hours: 4 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Coll Prep The course includes the study of arithmetic operations on whole numbers, decimals, fractions, mixed numbers, percents, ratios, proportions, simple algebraic, and geometric concepts. Competencies
- Compute by hand, using the four arithmetic operations to whole numbers, fractions, decimals, and integers
- Compute whole numbers, fractions, decimals, and integers using the four arithmetic operations
- Compute and apply the order of operations to any numerical expression involving whole numbers, fractions, decimals, and integers
- Compute algebraic expressions using the four arithmetic operations
- Relate number theory to arithmetic computations
- Write related sentences
- Build true number sentences using <, >, or =
- Round numbers to a given place value
- Utilize rules for exponential notation
- Find the factors and multiples of a number
- Find the GCF and LCM of two or more numbers
- Compute calculations involving ratio, proportion, and percent
- Write ratios and percentages in fractional notation
- Write fractions and percentages in decimal notation
- Write decimals and fractions in percent notation
- Write ratios and proportions for verbal problems
- Translate percent problems into proportions and equations
- Solve proportions and equations using variables
- Relate simple statistics to problems
- Classify various representations of data
- Interpret data from tables, charts, and various graphs
- Convert measurements within the Metric and U.S. Customary systems of measurement
- State the common units of measure of weight, mass, capacity, length, time and temperature
- Use unit fractions to convert between one U.S. Customary unit to another
- Convert from one Metric unit to another
- Convert between Celsius and Fahrenheit temperature scales
- Calculate the perimeter, area, and volume of various geometric figures
- Calculate perimeter and circumference
- Find the area of parallelograms (including squares and rectangles), triangles, trapezoids, and circles.
- Calculate the volume of a rectangular solid, cylinder, sphere, and cone
- Calculate perimeter and area using variables
- Utilize square roots and the Pythagorean Theorem to solve right triangles
- Simplify expressions involving the square root of a perfect square
- Find the length of the third side of a triangle using the Pythagorean Theorem
- Utilize estimation techniques to check the reasonableness of results
- Estimate sums and difference by rounding
- Estimate products and quotients by rounding
- Examine integers
- Compare integers using <, >, or =
- Name the additive inverse of any integer
- Write the absolute value of any integer
- Evaluate algebraic expressions
- Evaluate an expression for a given value of the variable
- Utilize the commutative or associative property to simplify a given expression
- Utilize the distributive property to simplify an expression
- Utilize the properties of 0 or 1 to simplify an expression
- Assess the value of a given expression with exponents
- Apply the order-of-operations rules
- Solve first-degree equations in one variable
- Simplify expressions involving whole number exponents
- Define a whole number exponent
- Make use of the exponent rules for products, quotients, and powers
- Graph using a number line
- Graph rational numbers on a number line
- Graph decimals on a number line
- Solve word problems using algebraic methods
- Determine what information in a problem is pertinent
- Determine what operations will be necessary in solving the problem
- Translate word problems into equations and solve them using various strategies
- Check the feasibility of the answer
Competencies Revised Date: AY2023
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