Course Goals
To review arithmetic processes, and to introduce signed numbers, scientific notation, and measurement conversions.
To introduce the fundamentals of algebra and geometry which provide the necessary background for more advanced mathematics courses.
To develop the problem-solving skills needed to interpret, analyze, and solve application problems involving arithmetic and basic algebra, geometry, and statistics that relate to technical areas.
Core Course Topics
Whole Numbers
Evaluate expressions using the order of operations.
Solve applied problems.
Fractions
Add and subtract fractions.
Multiply and divide fractions.
Solve applied problems.
Decimals and Percents
Convert between fractions, decimals, and percents.
Round decimals to a particular place value.
Solve applied problems.
Signed Numbers
Add and subtract signed whole numbers and fractions.
Multiply and divide signed whole numbers and fractions.
Scientific Notation
Use the rules of exponents for powers of 10.
Write numerical values in scientific notation.
Add, subtract, multiply, and divide using numerical values expressed in scientific notation.
Measurements
Understand basic concepts of the metric system.
Convert measurements within the U. S. system and within the metric system.
Use conversion factors to change measurements from the U. S. system to the metric system and vice versa.
Polynomials
Evaluate algebraic expressions by substitution.
Simplify algebraic expressions by removing grouping symbols and combining like terms.
Add and subtract polynomials.
Multiply monomials and polynomials.
Divide a monomial and a polynomial by a monomial.
Equations and Formulas
Solve linear equations.
Translate words into algebraic symbols.
Solve a formula or literal equation for a particular variable.
Solve applied problems.
Ratio and Proportion
Reduce ratios.
Solve proportions.
Solve applied problems.
Basic Geometry
Apply basic definitions and relationships for angles, lines, and geometric figures to solve applied problems.
Find the area and perimeter of quadrilaterals and triangles.
Use the Pythagorean Theorem to find the missing side of a right triangle.
Use the relationships of similar polygons to solve applied problems using proportions.
Find the circumference and area of circles.
Find the volume, lateral surface area, and total surface area of prisms, cylinders, and spheres.
Basic Statistics
Read and interpret bar, line, and circle graphs.
Find the mean, median, and mode for a set of data.
Scientific Calculator
Demonstrate proficiency in using a non-graphing scientific calculator for basic arithmetic operations.
Demonstrate proficiency in using a non-graphing scientific calculator to help solve applied problems involving measurement conversions, proportions, geometric figures, and statistics.
Upon successful completion of this course, students will be able to: