Major Concept- B. Relations, Linear Functions, and Variation - Part I- Theory
Objective |
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| 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. |
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| 2. To identify and express examples of relations in the real world |
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| 3. To graph ordered pairs in the Cartesian coordinate plane. |
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| 4. To graph real-world relations in the Cartesian coordinate plane. |
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| 5. To read information from a graph. |
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| 6. To identify, graph, and interpret examples of linear functions describing real-world situations. |
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| 7. To graph a linear function using a table of values. |
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| 8. To determine if a relation is a function by employing the vertical line test |
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| 9. To solve equations in two variables given the domain of one of the variables. |
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| 10. To determine if an ordered pair is a solution to the linear equation. |
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| 11. To calculate the slope of a line graphically and algebraically when given two points that lie on the line. |
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| 12. To determine the slope of horizontal lines, vertical lines, parallel lines, and perpendicular lines. |
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| 13. To graph a linear equation using the x- and y-intercepts. |
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| 14. To graph a linear equation using the slope and y-intercept. |
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| 15. To write the equation of a line when given the slope and one point on the line. |
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| 16. To write the equation of a line when given two points that lie on the line. |
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| 17. To construct scatterplots from real-world data. |
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| 18. To interpret and critically analyze these constructed scatterplots. |
Major Concept- B. Relations, Linear Functions, and Variation - Part II- Applications
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Objective |
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| 19. To solve proportions involving direct variation. |
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| 20. To solve problems involving direct variation. |
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| 21. To identify partial variation. |
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| 22. To solve problems involving partial variation. |
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| 23. To define, illustrate, and identify an arithmetic sequence. |
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| 24. To determine the nth term of an arithmetic sequence. |
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| 25. To define arithmetic means, and to determine the required arithmetic means between given terms. |
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| 26. To calculate the sum of an arithmetic series. |