MA 10 - Corequisite for College Algebra

1. Identify appropriate resources to support the learning objectives in MA 110.
2. Identify and apply effective personalized study strategies.
3. Recognize and develop a growth mindset toward mathematics.
4. Identify appropriate processes to find solutions to multistep or multi component problems.
5. Use estimation to evaluate if the outcome to a problem is reasonable.
6. Discern relevant and irrelevant information when seeking solutions to problems.
7. Connect experimental data to mathematical principals.
8. Connect practice to mathematical theories.
9. Manipulate algebraic expressions.
10. Solve linear equations and inequalities, quadratic, exponential, logarithmic, rational, and radical equations using symbolic and graphical approaches.
11. Draw connections between verbal phrases and algebraic notation.
12. Perform operations (adding, subtracting, multiplying, and simplifying) involving complex numbers.
13. Identify and differentiate between linear, quadratic, polynomial, rational, logarithmic, and exponential functions and equations.
14. Interpret the input and output of functions in real-world contexts.
15. Solve systems of equations algebraically and graphically.
16. Understand sequences as functions whose domain is the set of natural numbers.
17. Understand finite series as sums of sequences.
18. Identify appropriate problem solving strategies for application problems.
19. Interpret symbolic, numeric, and graphical data.
20. Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it. 
21. Complete work accurately, with attention to detail. 

• Bullet points are developmental topics that are needed

Functions and Graphs

1. Definition of function

• properties of real numbers
• order of operations
• exponent rules
• absolute value
• expressions, equations

2. Function notation

• Order of operations
• Manipulate algebraic expressions

3. Domain and range

• Set notation
• Interval notation
• Inequalities (linear)

4. Graphs

• Cartesian coordinates
• Intercepts

5. Composition of functions

• Like terms
• Multiplying polynomials

6. Inverse functions

• Solving linear equations
• Solving rational equations
• Radicals
• Solving radical equations
• Factoring (GCF)

7. Transformations

• Moving points in Cartesian coordinates

Linear and Quadratic Functions

1. Graphs

• Intercepts
• Slope
• Slope-intercept form

2. Equations and inequalities

• Factoring
• Quadratic formula
• Square root property

3. Regression

• Plotting points

4. Modeling

• Applications
• Translating between verbal and mathematical expressions
• Obtaining data

Higher Degree Polynomial Functions

1. Operations on polynomials

• Order of operations

2. Rules of exponents

• Rules of exponents

3. Graphs

• Plotting points

4. Equations

• Factoring
• Zero-product property

5. Real and complex zeros

• Complex numbers (add, subtract, multiply)
• Simplify radicals

6. Regression

• Plotting points

7. Modeling

• Applications
• Translating between verbal and mathematical expressions
• Obtaining data

Radical Functions

1. Working with radicals

• Perfect squares
• Simplify radical expressions
• Add/subtract radical expressions
• Multiply/divide radical expressions

2. Rational exponents

• Exponent rules

3. Domain restrictions

• Solving inequalities (linear)
• Solving inequalities (quadratic)

4. Equations

• Checking solutions

5. Distance between two points

• Pythagorean theorem
• Simplify radical expressions

6. Equations of circles
7. Graphs

• Plotting points

8. Modeling

• Applications
• Translating between verbal and mathematical expressions
• Obtaining data

Rational Functions

1. Domain restrictions

• Solving polynomial equations (linear, quadratic)

2. Graphs

• Plotting points

3. Algebraic manipulation and simplification

• factoring
• LCD
• Arithmetic with rational numbers
• Adding/subtracting/multiplying/dividing rational expressions

4. Equations

• Checking solutions
• Domain

5. Modeling

• Applications
• Translating between verbal and mathematical expressions
• Obtaining data

Exponential and Logarithmic Functions

1. Definitions and graphs

• Inverse functions
• The number e

2. Properties of logarithms

• Properties of exponents

3. Equations

• Exponential & logarithmic functions as inverses

4. Regression

• Plotting points

5. Modeling

• Compound interest
• Percentages/base

Matrices and Systems of Equations

1. Solving 2 x 2 linear systems

• Arithmetic
• Combining like terms
• Graphing linear equations

2. Solving 3 x 3 linear system

• Arithmetic
• Combining like terms

Sequences and Series

1. General

• Function notation
• Order of operations

2. Arithmetic

• differences

3. Geometric

• ratios

Non-Cognitive Skills

• Growth Mindset
• Campus Resources
• Study strategies
• Study environment
• Importance of homework
• Organization
• Using tutoring lab

Group Work:  0 - 50%

Computer aided instruction:  0 - 50%
 
Mandatory Course Components:
weekly quizzes

attendance & participation

exam reviews
Equivalent Courses:
None