# Course

Course Summary
Credit Type:
Course
ACE ID:
Organization's ID:
S1 - 128827997, S2 - 128828149
Organization:
Location:
Online
Length:
4 weeks (120 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 2 intermediate algebra
Description

## Objective:

The course objective is to build upon the foundations established in pre-algebra and basic mathematics to develop a growing understanding of how to perform operations and solve problems with real numbers. Students will focus on the importance of linear relations; develop fluency with the language and operations of algebra to analyze and represent relationships; and perform exercises to demonstrate understanding. Students will explore quadratic equations, including solving, graphing, and interpreting quadratic graphs; work with exponential functions; identify if a sequence is arithmetic or geometric and use this knowledge to identify missing terms in a sequence; and create and analyze data sets.

## Learning Outcomes:

• Add, subtract, divide and multiply with real numbers
• Solve equations and inequalities with one variable
• Graph linear functions and inequalities
• Solve systems of equations
• Add, subtract, multiply and factor polynomials
• Identify parts of an exponential function and compare exponential, linear, and quadratic tables, graphs, and functions
• Create the formula and find terms for arithmetic and geometric sequences
• Analyze data to find measures of center and create data graphs
• Analyze a scatter plot to find the line of best fit

## General Topics:

• Working with real numbers
• Adding and subtracting rational numbers
• Multiplying and dividing fractions Properties of real numbers
• Order of operations
• Identifying and simplifying variable expressions
• Solving one-step equations
• Solving two-step equations
• Solving equations with variables on both sides
• Solving multi-step equations
• Solving absolute value equations
• Literal equations
• Introduction to inequalities
• One and two-step inequalities
• Multi-step inequalities
• Relations
• Functions
• Rate of change and slope
• Direct variation
• Slope intercept form
• Standard form
• Point slope form
• Linear inequalities
• Solving systems by graphing
• Solving systems by substitution
• Solving systems by elimination
• Systems of linear inequalities
• Parts of a polynomial
• Adding and subtracting with polynomials
• Multiplying polynomials
• Multiplying special cases of polynomials
• Greatest common factor
• Using GCF to factor
• Factoring with a coefficient of 1
• Factoring special cases
• Solving quadratics by taking square roots
• Solving quadratics by completing the square
• Horizontal and vertical shifts
• Stretches and shrinks
• Systems of linear and quadratic equations
• Exponential growth and decay
• Exponential, linear, and quadratic graphs
• Compare exponential, linear, and quadratic tables
• Compare exponential, linear, and quadratic models
• Arithmetic sequences
• Geometric sequences
• Mean, median, mode
• Interquartile range
• Dot plots, histograms, and box plots
• Scatterplots
• Linear models with data
Instruction & Assessment

## Instructional Strategies:

• Audio Visual Materials
• Computer Based Training
• Discussion
• Learner Presentations
• Practical Exercises
• Project-based Instruction

## Methods of Assessment:

• Other
• Performance Rubrics (Checklists)
• Quizzes
• scenarios, teacher facilitated discussions

## Minimum Passing Score:

70%
Supplemental Materials