Major Concept- B. Relations, Linear Functions, and Variation - Part I- Theory

 

Objective

 

1. To define the following terms- relation, ordered pair, abscissa, ordinate, function, linear function, slope, x-intercept, y-intercept, ratio, proportion, direct variation, partial variation.

 

2. To identify and express examples of relations in the real world

 

3.  To graph ordered pairs in the Cartesian coordinate plane.

 

4. To graph real-world relations in the Cartesian coordinate plane.

 

5. To read information from a graph.

 

6. To identify, graph, and interpret examples of linear functions describing real-world situations.

 

7. To graph a linear function using a table of values.

 

8. To determine if a relation is a function by employing the vertical line test

 

9. To solve equations in two variables given the domain of one of the variables.

 

10. To determine if an ordered pair is a solution to the linear equation.

 

11. To calculate the slope of a line graphically and algebraically when given two points that lie on the line.

 

12. To determine the slope of horizontal lines, vertical lines, parallel lines, and perpendicular lines.

 

13. To graph a linear equation using the x- and y-intercepts.

 

14. To graph a linear equation using the slope and y-intercept.

 

15. To write the equation of a line when given the slope and one point on the line.

 

16. To write the equation of a line when given two points that lie on the line.

 

17. To construct scatterplots from real-world data.

 

18. To interpret and critically analyze these constructed scatterplots.

 

Major Concept- B. Relations, Linear Functions, and Variation - Part II- Applications

 

 

Objective

 

19. To solve proportions involving direct variation.

 

20. To solve problems involving direct variation.

 

21. To identify partial variation.

 

22. To solve problems involving partial variation.

 

23. To define, illustrate, and identify an arithmetic sequence.

 

24. To determine the nth term of an arithmetic sequence.

 

25. To define arithmetic means, and to determine the required arithmetic means between given terms.

 

26. To calculate the sum of an arithmetic series.

 
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