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MATH100

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Basic Technical Mathematics

MathematicsScience, Tech, Engr & Math

Course Goals

  1. To review arithmetic processes, and to introduce signed numbers, scientific notation, and measurement conversions.

  2. To introduce the fundamentals of algebra and geometry which provide the necessary background for more advanced mathematics courses.

  3. 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

  1. Whole Numbers

    1. Evaluate expressions using the order of operations.

    2. Solve applied problems.

  2. Fractions

    1. Add and subtract fractions.

    2. Multiply and divide fractions.

    3. Solve applied problems.

  3. Decimals and Percents

    1. Convert between fractions, decimals, and percents.

    2. Round decimals to a particular place value.

    3. Solve applied problems.

  4. Signed Numbers

    1. Add and subtract signed whole numbers and fractions.

    2. Multiply and divide signed whole numbers and fractions.

  5. Scientific Notation

    1. Use the rules of exponents for powers of 10.

    2. Write numerical values in scientific notation.

    3. Add, subtract, multiply, and divide using numerical values expressed in scientific notation.

  6. Measurements

    1. Understand basic concepts of the metric system.

    2. Convert measurements within the U. S. system and within the metric system.

    3. Use conversion factors to change measurements from the U. S. system to the metric system and vice versa.

  7. Polynomials

    1. Evaluate algebraic expressions by substitution.

    2. Simplify algebraic expressions by removing grouping symbols and combining like terms.

    3. Add and subtract polynomials.

    4. Multiply monomials and polynomials.

    5. Divide a monomial and a polynomial by a monomial.

  8. Equations and Formulas

    1. Solve linear equations.

    2. Translate words into algebraic symbols.

    3. Solve a formula or literal equation for a particular variable.

    4. Solve applied problems.

  9. Ratio and Proportion

    1. Reduce ratios.

    2. Solve proportions.

    3. Solve applied problems.

  10. Basic Geometry

    1. Apply basic definitions and relationships for angles, lines, and geometric figures to solve applied problems.

    2. Find the area and perimeter of quadrilaterals and triangles.

    3. Use the Pythagorean Theorem to find the missing side of a right triangle.

    4. Use the relationships of similar polygons to solve applied problems using proportions.

    5. Find the circumference and area of circles.

    6. Find the volume, lateral surface area, and total surface area of prisms, cylinders, and spheres.

  11. Basic Statistics

    1. Read and interpret bar, line, and circle graphs.

    2. Find the mean, median, and mode for a set of data.

  12. Scientific Calculator

    1. Demonstrate proficiency in using a non-graphing scientific calculator for basic arithmetic operations.

    2. 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:

Whole Numbers: Evaluate expressions using the order of operations.

Whole Numbers: Solve applied problems.

Fractions: Add and subtract fractions.

Fractions: Multiply and divide fractions.

Fractions: Solve applied problems.

Decimals and Percents: Convert between fractions, decimals, and percents.

Decimals and Percents: Round decimals to a particular place value.

Decimals and Percents: Solve applied problems.

Signed Numbers: Add and subtract signed whole numbers and fractions.

Signed Numbers: Multiply and divide signed whole numbers and fractions.

Scientific Notation: Use the rules of exponents for powers of 10.

Scientific Notation: Write numerical values in scientific notation.

Scientific Notation: Add, subtract, multiply, and divide using numerical values expressed in scientific notation.

Measurements: Understand basic concepts of the metric system.

Measurements: Convert measurements within the U. S. system and within the metric system.

Measurements: Use conversion factors to change measurements from the U. S. system to the metric system and vice versa.

Polynomials: Evaluate algebraic expressions by substitution.

Polynomials: Simplify algebraic expressions by removing grouping symbols and combining like terms.

Polynomials: Add and subtract polynomials.

Polynomials: Multiply monomials and polynomials.

Polynomials: Divide a monomial and a polynomial by a monomial.

Equations and Formulas: Solve linear equations.

Equations and Formulas: Translate words into algebraic symbols.

Equations and Formulas: Solve a formula or literal equation for a particular variable.

Equations and Formulas: Solve applied problems.

Ratio and Proportion: Reduce ratios.

Ratio and Proportion: Solve proportions.

Ratio and Proportion: Solve applied problems.

Basic Geometry: Apply basic definitions and relationships for angles, lines, and geometric figures to solve applied problems.

Basic Geometry: Find the area and perimeter of quadrilaterals and triangles.

Basic Geometry: Use the Pythagorean Theorem to find the missing side of a right triangle.

Basic Geometry: Use the relationships of similar polygons to solve applied problems using proportions.

Basic Geometry: Find the circumference and area of circles.

Basic Geometry: 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.

Basic Statistics: 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.

Scientific Calculator: Demonstrate proficiency in using a non-graphing scientific calculator to help solve applied problems involving measurement conversions, proportions, geometric figures, and statistics.