[README]

MAT091: About the Course

The MCCCD Official Course Description for MAT091 is as follows.

   Description:  Emphasis on meanings related to variable, equality, 
   inequality, equivalence. The use of additive and multiplicative 
   reasoning in solving linear equations and inequalities in one variable. 
   Validation of solution(s) through a reasonable mathematical defense. 
   Transfer and apply knowledge through a process of sense making and 
   reasonableness in mathematical problems and practical application 
   situations. Recognize patterns and organize data to represent situations 
   where output is related to input. Understand the concept of function and 
   be able to represent functions in multiple ways, including tables, 
   algebraic rules, graphs and contextual situations, and make connections 
   among these representations. Read, represent, and interpret linear 
   function relationships numerically, analytically, graphically and 
   verbally and connect the different representations. Model and solve 
   real world problems involving constant rate of change.

   Requisites: Prerequisites: A grade of "C" or better or satisfactory 
   Math Diagnostic Assessment score for (MAT051, MAT052, MAT053, and MAT054), 
   or MAT081, or MAT082.

The MCCCD Official Course Competencies for MAT091 are as follows.


MCCCD Official Course Competencies

1. Build a case for algebra based on prior knowledge of number sense. 
2. Define Algebra, Variable, Expression, Equality, Inequality, Equivalence.
3. Interpret the structure of and evaluate expressions. 
4. Assign a variable based on reasonableness. 
5. Apply properties to manipulate expressions.
6. Create equations or inequalities that describe numbers or relationships. 
7. Use additive and multiplicative identities and properties to solve 
   linear equations and linear inequalities in one variable. 
8. Demonstrate solving is a process of reasoning through the 
   explanation of steps. 
9. Validate solution(s) through a reasonable mathematical defense. 
10. Transfer and apply knowledge through a process of sense making 
    and reasonableness in mathematical problems and practical 
    application situations. 
11. Read, construct and interpret quantitative information 
    when presented numerically, analytically, graphically 
    or verbally, while looking for patterns. 
12. Recognize and describe the meaning of each entry in an ordered pair. 
13. Recognize that on a graph an ordered pair represents a horizontal 
    and vertical distance from the origin. 
14. Describe the distinction between continuous and discrete data. 
15. Demonstrate how each point or collection of points on a graph 
    represents the solution to a relation. 
16. Identify and interpret horizontal and vertical intercepts when 
    presented numerically, analytically, graphically or verbally. 
17. Describe how the change in one quantity (input) affects the 
    other quantity (output). 
18. Model, solve and interpret solutions to contextual problems. 
19. Construct logical arguments about mathematical relationships and 
    critique the reasoning of others in written and verbal form.
20. Describe a mathematical relationship as a correspondence between 
    two quantities and determine when a relationship is a function. 
21. Represent functions in multiple ways, including tables, algebraic 
    rules, graphs and contextual situations, and make connections among 
    these representations. 
22. Use and interpret function notation in terms of input and output, 
    graphically and in contextual situations. 
23. Determine the rate of change between two data points and interpret 
    the meaning in terms of change of output compared to change of input 
    (co-variational reasoning). 
24. Analyze and build tables and graphs using rate of change and a data point.
25. Describe how the rate of change of a linear function relates to the 
    behavior of the graph. 
26. Interpret the rate of change (slope) and the constant term (vertical 
    intercept) of a linear model contextually. 
27. Construct logical arguments about linear behavior and critique 
    the reasoning of others in written and verbal form. 
28. Model data that exhibit a constant rate of change with linear 
    functions, equations and graphs. 
29. Utilize and justify the use of equivalent forms of linear equations, 
    such as slope-intercept, point-slope, and other standard forms, for 
    solving a given problem. 
30. Describe the relationship between vertical and horizontal lines 
    and the concept of slope. 
31. Construct an equation of a line when given the slope and vertical 
    intercept or given the slope and a point or given two points, and 
    express the equation in the various forms. 
32. Model contextual problems with systems of two linear equations, solve 
    using graphing and algebraic techniques and interpret the solutions. 

Creator: Gerald Thurman [gthurman@gmail.com]
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