| Originator: | Kuzma, Robert Status: Approved Department: TRM Transitional Math |
| Date Created: | 11/25/2020 Submitted: 11/25/2020 Completed: 03/12/2021 |
| Course Information: | Course Modification to an existing course |
| Course Full Title: | Pre-Algebra |
| Course Number: | 090 |
| Catalog Course Description: | Bridging basic arithmetic and beginning algebra, negative numbers, fractions, ratio, proportion, percentage, simple geometry, and unit analysis. |
| Previous Credit (Total): | 3 |
| Previous Lecture Hours: | |
| Previous Lab Hours: | |
| Prerequisite(s): | Appropriate score on placement exam or completion of PCS 023 with an "S" |
| Effective Academic Year: | 2021-2022 |
| If yes, please provide the established SUN number: | |
| Course Competencies and Objectives OR Course Competencies and Outline: | Competency 1. Demonstrate basic study skills necessary for success in college-level mathematics courses.
Objective 1.1 Demonstrate the techniques for reading a math textbook. Objective 1.2 Outline the importance of a regular study schedule and the timely completion of homework assignments. Objective 1.3 Demonstrate techniques for effective note taking in a math course. Objective 1.4 Utilize effective review and test taking strategies. Competency 2. Conduct basic operations on whole numbers and integers. Objective 2.1 Plot signed numbers on a number line. Objective 2.2 Order pairs of integers using < and > symbols. Objective 2.3 Define the set of integers, the set of whole numbers as a subset of the integers, and the set of natural numbers as a subset of the whole numbers. Objective 2.4 Define the additive inverse property. Objective 2.5 Calculate by identity the additive inverse for any integer. Objective 2.6 Determine the absolute value of any integer. Objective 2.7 Define absolute value as the distance of a number from 0 on the number line. Objective 2.8 Add whole numbers. Objective 2.9 Add integers with the same sign. Objective 2.10 Add integers with different signs. Objective 2.11 Utilize the commutative property of addition. Objective 2.12 Utilize the associative property of addition. Objective 2.13 Subtract whole numbers. Objective 2.14 Convert subtraction to the equivalency of the addition of a negative integer. Objective 2.15 Combine the addition and subtraction of integers. Objective 2.16 Identify the place values for integers. Objective 2.17 Round integers to a given place value. Objective 2.18 Estimate sums and differences using front-end rounding. Objective 2.19 Utilize both raised dot and parentheses notation to signify multiplication. Objective 2.20 Multiply whole numbers. Objective 2.21 Multiply integers with the same sign. Objective 2.22 Multiply integers with different signs. Objective 2.23 Utilize the commutative property of multiplication. Objective 2.24 Utilize the associative property of multiplication. Objective 2.25 Estimate products using front-end rounding. Objective 2.26 Divide whole numbers. Objective 2.27 Divide integers with the same sign. Objective 2.28 Divide integers with different signs. Objective 2.29 Utilize properties of division involving 0 and 1. Objective 2.30 Estimate quotients in application problems. Objective 2.31 Interpret remainders in application problems. Objective 2.32 Use exponents to denote repeated multiplication. Objective 2.33 Simplify expressions using rules for order of operations. Objective 2.34 Express division problems using fraction bars. Objective 2.35 Simplify perfect square roots Competency 3. Use expressions involving variables and solving simple linear equations at a level of basic mastery. Objective 3.1 Identify variables, constants, and simple algebraic expressions. Objective 3.2 Evaluate variable expressions for given replacement values. Objective 3.3 Construct equivalent expressions using the commutative, associative, and distributive properties. Objective 3.4 Utilize exponents with variables and variable expressions. Objective 3.5 Perform the distributive property. Objective 3.6 Construct a variable expression to state the distributive property. Objective 3.7 Define like terms. Objective 3.8 Use the distributive property to combine like terms. Objective 3.9 Simplify expressions by combining like terms. Objective 3.10 Multiply using the distributive property. Objective 3.11 Define the difference between an expression and an equation. Objective 3.12 Determine if a given number is a solution for an equation. Objective 3.13 Construct variable equations using the principle of equality Objective 3.14 Simplify single variable linear equations using the commutative, associative and distributive properties. Objective 3.15 Derive formulas for the perimeter of a square and a rectangle from the definition of perimeter Objective 3.16 Calculate the perimeter or the length of a side for a given square using the formula for perimeter of a square. Objective 3.17 Calculate the perimeter, the length, or the width for a given rectangle using the formula for perimeter of a rectangle. Objective 3.18 Calculate the perimeter of a given parallelogram, triangle, or irregular closed geometric figure using the definition of perimeter. Objective 3.19 Calculate the circumference of a circle Objective 3.20 Calculate the area or the length of an unknown side of a given rectangle using the formula for the area of a rectangle. Objective 3.21 Calculate the area, the base, or the height of a given figure using the formula for the area of a triangle or parallelogram. Objective 3.22 Calculate the area of a trapezoid given two bases and the height Objective 3.23 Calculate the area of a circle Objective 3.24 Calculate a missing side length for a right triangle using the Pythagorean Theorem Objective 3.25 Calculate the volume of a cylinder or sphere using the radius Objective 3.26 Calculate the volume of a parallelepiped, cone, or triangle Objective 3.27 Calculate the surface area of cylinders, parallelepipeds, and spheres Objective 3.28 Calculate the sum of the angles in a polygon Objective 3.29 Calculate angles of intersecting, parallel, supplementary, complimentary, and perpendicular lines Objective 3.30 Identify the x and y coordinates of a point on a coordinate plane Objective 3.31 Calculate the slope of a line based off a graph Objective 3.32 Calculate side and angle measures of similar triangles Competency 4. Perform operations on rational numbers in fraction and mixed number form. Objective 4.1 Use fraction notation to designate part of a whole. Objective 4.2 Identify the numerator and the denominator of a fraction. Objective 4.3 Identify proper and improper fractions. Objective 4.4 Plot the position of positive and negative fractions on a number line. Objective 4.5 Calculate, by identifying, the absolute value of a fraction. Objective 4.6 Use multiplication by 1 to generate equivalent fractions. Objective 4.7 Write fractions in lowest terms. Objective 4.8 Reduce fractions by canceling common factors. Objective 4.9 Distinguish between prime and composite numbers. Objective 4.10 Write a number as the unique product of prime factors. Objective 4.11 Reduce fractions using prime factorization. Objective 4.13 Multiply signed fractions. Objective 4.15 Identify the reciprocal of a fraction. Objective 4.16 Divide signed fractions. Objective 4.18 Solve applied problems involving the multiplication and division of fractions. Objective 4.19 Simplify by adding and subtracting fractions with a common denominator. Objective 4.20 Calculate the least common denominator for fractions with unlike denominators. Objective 4.21 Calculate the Lowest Common Denominator (LCD) using prime factorization. Objective 4.22 Simplify by adding and subtracting fractions with unlike denominators. Objective 4.23 Simplify by adding and subtracting unlike fractions containing variables. Objective 4.24 Identify mixed numbers. Objective 4.25 Plot mixed numbers on a number line Objective 4.26 Convert mixed numbers to improper fractions. Objective 4.27 Convert improper fractions to mixed numbers. Objective 4.28 Simplify by multiplying and dividing mixed numbers. Objective 4.29 Simplify by adding and subtracting mixed numbers. Objective 4.30 Solve applied problems containing mixed numbers. Objective 4.31 Simplify fractions containing exponents. Objective 4.32 Simplify expressions involving fractions by applying the order of operations. Competency 5. Perform operations on rational numbers in decimal form. Objective 5.1 Use decimal notation to name part of a whole. Objective 5.2 Identify the place value of a decimal digit. Objective 5.3 Convert decimals to fractions or mixed numbers. Objective 5.4 Convert fractions to repeating decimals Objective 5.5 Round decimals to any given place. Objective 5.6 Round money values to the nearest dollar or to the nearest cent. Objective 5.7 Identify rational and irrational numbers Objective 5.8 Simplify by adding and subtracting positive decimals. Objective 5.9 Simplify by adding and subtracting negative decimals. Objective 5.10 Estimate sums and differences by rounding decimals. Objective 5.11 Multiply positive and negative decimals. Objective 5.12 Estimate decimal products by rounding. Objective 5.13 Divide a decimal be an integer. Objective 5.14 Divide a number by a decimal. Objective 5.15 Estimate a quotient involving decimals by rounding. Objective 5.16 Simplify by applying the rules for order of operations to expressions containing decimals. Objective 5.17 Write fractions and mixed numbers as decimals. Objective 5.18 Use <, =, or > to order fractions and decimals on a number line. Objective 5.19 Solve applied problems involving equations with one unknown quantity. Objective 5.20 Solve applied problems involving equations containing decimals. Competency 6. Solve problems involving ratios, rates, and proportions. Objective 6.1 Write ratios using a fraction bar. Objective 6.2 Define fractions as ratios. Objective 6.3 Simplify ratios involving decimals. Objective 6.4 Convert units in ratio problems. Objective 6.5 Solve simple problems involving ratios. Objective 6.6 Define ratios and rates. Objective 6.7 Write rates using a fraction bar. Objective 6.8 Define unit rates. Objective 6.9 Solve applied problems involving unit cost. Objective 6.10 State the equivalence of two rates as a proportion. Objective 6.11 Use the cross products rule to identify a proportion as true or false. Objective 6.12 Solve for and unknown quantity in a proportion by using the multiplication or division properties of equality. Objective 6.13 Solve applied problems using proportions. Objective 6.14: Convert ratios and rates by scaling their denominators Objective 6.15 Convert units of length and weight using dimensional analysis Competency 7. Solve problems using percent notation and applied percentage. Objective 7.1 Define percent. Objective 7.2 Convert percent notation to decimal notation. Objective 7.3 Convert decimal notation to percent notation. Objective 7.4 Convert percent notation to fraction notation. Objective 7.5 Convert fraction notation to percent notation. Objective 7.6 Solve applications involving 100% and 50%. Objective 7.7 Define percent as a proportion. Objective 7.8 Use the percent proportion to identify the base given a part. Objective 7.9 Use the percent proportion to identify a part given the base. Objective 7.10 Use the percent proportion to solve applied percent problems. Objective 7.11 Define the percent equation. Objective 7.12 Solve basic percent problems using the percent equation. Objective 7.13 Find sales tax and total cost. Objective 7.14 Estimate and calculate restaurant tips. Objective 7.15 Calculate the discount and sale price. Objective 7.16 Calculate simple interest and the total amount due on a simple interest loan. Objective 7.17 Calculate the center of a set of data using mean, median, mode, and range Objective 7.18 Construct box-and-whisker plots using the quartiles of data. |
| Is this an AGEC course: | No |
| Course Learning Outcomes: | 1. Apply number sense in a basic algebra setting (3)
2. Analyze mathematic situations using proper mathematical representations (2,3) 3. Solve problems using spatial and logical reasoning (3) 4. Utilize the processing techniques essential to master each mathematical concept (3) |
| Previous Clinical Hours: | |
| New Credit Hours (Total): | 4 |
| New Lecture Hours: | 4 |
| New Lab Hours: | |
| New Clinical Hours: | |
| Reason for Evaluation: | Credit Breakdown Change Description Change Objectives, Outcomes, and/or Competencies changes |
| Articulated?: | No |
| Transfer?: | Not Applicable |
| Program Modification Required?: | No |
| If yes, list the degree or certificate: | |
| Course Impact?: | No |
| If yes, list the degree or certificate: | |
| New Internship Hours: | |
| Corequisite(s): | none |
| Mode of Instruction: | traditional online hybrid plural |
| If other, please explain: |