2. Strategies for Success GOOD LUCK!!

3. Strategy 1 Can I plug it in? Can I plug it in?

4. Strategy 2 Can I graph it? Can I graph it?

5. Strategy 3 Can I make a table of values? Can I make a table of values?

6. Strategy 4 Can I draw a picture? Can I draw a picture?

8. Function Each “x” is paired with exactly one y Each “x” is paired with exactly one y x cannot repeat x cannot repeat The vertical line test can be used to determine whether a relation is a function The vertical line test can be used to determine whether a relation is a function

10. How it’s tested

11. Independent Variable The input or “x” variable The input or “x” variable Will be graphed on the “x” axis. Will be graphed on the “x” axis. Will be on the right side of the equation. Will be on the right side of the equation.

12. Dependent Variable The output or “y” variable The output or “y” variable Will be graphed on the “y” axis Will be graphed on the “y” axis Will be on the left side of the equation. Will be on the left side of the equation.

13. C=40+25h Dependent Variable Independent Variable # of hours COSTCOST

14. How it’s Tested

15. Domain Set of allowable “x” values Set of allowable “x” values

16. Range Set of allowable “y” values Set of allowable “y” values

17. How it’s Tested What is the domain of this function? a)-3 < y < 3 b)-3 < y < 3 c)-3 < x < 3 d)-3 < x < 3

18. Correlation On overall pattern in the data of a scatterplot On overall pattern in the data of a scatterplot The three types of correlation tested on the TAKS are positive, negative, and no correlation. The three types of correlation tested on the TAKS are positive, negative, and no correlation.

19. How it’s tested

20. Mapping A pair of ovals which show how x and y are paired. A pair of ovals which show how x and y are paired.

21. x-intercept Point where graph touches x-axis Point will be written (a, 0) To find the x-intercept, plug in 0 for y and solve

22. y-intercept Point where graph touches the y-axis Point where graph touches the y-axis Point will be written (0, b) Point will be written (0, b) To find the y-intercept, plug in 0 for x and solve. To find the y-intercept, plug in 0 for x and solve.

23. How it’s tested What is the x-intercept the function f(x) = 3x + 6 a)(6, 0) b)(0. 6) c)(0. -2) d)(-2, 0)

24. Slope Indicates the steepness of a line Indicates the steepness of a line Rise/Run Rise/Run Rate of Change Rate of Change

25. What is the rate of change for the graph below? What is the slope of the equation 2x – 5y = 10? a)2/5 b)5/2 c)-2/5 d)-5/2 How it’s tested

26. Parent Function The simplest form of a function family The simplest form of a function family There will be two parent functions tested on TAKS: Linear and Quadratic There will be two parent functions tested on TAKS: Linear and Quadratic

27. How it’s tested

28. Parameter Changes in Linear Functions In the linear function y = mx + b, m and b are called parameters. In the linear function y = mx + b, m and b are called parameters. When the slope or “m” is changed, the only thing effected is the steepness of a line. When the slope or “m” is changed, the only thing effected is the steepness of a line. When the y-intercept or “b” is changed, the line moves up or down the y-axis. When the y-intercept or “b” is changed, the line moves up or down the y-axis.

29. How it’s tested The line y = ¾ x is drawn on a coordinate grid. A second line is drawn with a slope of 1. Which statement best describes the relationship between these two graphs? The line y = ¾ x is drawn on a coordinate grid. A second line is drawn with a slope of 1. Which statement best describes the relationship between these two graphs? A) The second line is steeper than the first line A) The second line is steeper than the first line B) The graphs are perpendicular lines B) The graphs are perpendicular lines C) The second line is less steep than the first line C) The second line is less steep than the first line D) The graphs are parallel lines D) The graphs are parallel lines

30. Parameter Changes in Quadratic Functions In a quadratic function of the form y = ax 2 + c, “a” and “c” are called parameters. In a quadratic function of the form y = ax 2 + c, “a” and “c” are called parameters. The value of “a” affects the width of the parabola The value of “a” affects the width of the parabola Changing the value of “c” will cause a translation up or down. Changing the value of “c” will cause a translation up or down.

31. How it’s tested

32. System of Equations Two or more linear equations that use two or more variables. Two or more linear equations that use two or more variables. The solution to a system is a pair of numbers that makes both equations true. The solution to a system is a pair of numbers that makes both equations true. On the TAKS, anytime you see two equations in the same problem, solve them both for y and then graph on your calculator. On the TAKS, anytime you see two equations in the same problem, solve them both for y and then graph on your calculator.

33. TAKS Examples: Systems

35. Roots, Solutions, Zeros The x-intercepts of a function The x-intercepts of a function

36. Complementary Angles Two angles whose sum is 90 degrees Two angles whose sum is 90 degrees a b

37. Supplementary Angles Two angles whose sum is 180 degrees Two angles whose sum is 180 degrees ab

38. Dilation A proportional enlargement or reduction of a figure. A proportional enlargement or reduction of a figure. The size of the enlargement or reduction is called the scale factor of the dilation The size of the enlargement or reduction is called the scale factor of the dilation If the dilated image is larger than the original, then the scale factor > 1. This is called an enlargement. If the dilated image is larger than the original, then the scale factor > 1. This is called an enlargement. If the dilated image is smaller than the original figure, then the scale factor < 1. This is called a reduction. If the dilated image is smaller than the original figure, then the scale factor < 1. This is called a reduction.

39. Example Of Dilation

40. Reflections A mirror image of a figure across a line. A mirror image of a figure across a line. The line is called the line of reflection. The line is called the line of reflection. A figure and its reflected image are always congruent. A figure and its reflected image are always congruent.

42. Translation A movement of a figure along a line A movement of a figure along a line Can be described by stating how many units to the left or right the figure is moved and how many units up or down it is moved. Can be described by stating how many units to the left or right the figure is moved and how many units up or down it is moved. A figure and its translated image are always congruent A figure and its translated image are always congruent

44. Net A 2-dimensional representation of a 3- dimensional object. A 2-dimensional representation of a 3- dimensional object.

45. How it’s tested

46. Parallel Lines Two lines which have the same slope Two lines which have the same slope

47. Perpendicular Lines Lines which intersect at 90 degree angles. Lines which intersect at 90 degree angles. Two lines whose slopes are negative reciprocals of each other. Two lines whose slopes are negative reciprocals of each other.

48. Similar Figures Same shape Same shape Corresponding Angles of similar figures are congruent Corresponding Angles of similar figures are congruent The lengths of corresponding sides are proportional The lengths of corresponding sides are proportional

49. How it’s tested

50. Right Triangles Use the Pythagorean theorem when you know 2 sides and need a 3 rd Use the Pythagorean theorem when you know 2 sides and need a 3 rd

51. Right Triangles Use the properties of special right triangles when you only know ________ side. Use the properties of special right triangles when you only know ________ side.

52. Distance Formula Use whenever you need to find the length of a line segment. Use whenever you need to find the length of a line segment.

53. Midpoint Formula Use whenever you need to find the midpoint or “half-way” point of a line segment. Use whenever you need to find the midpoint or “half-way” point of a line segment.

55. Arc of a Circle Part of circle determined by any two points on the circle. Part of circle determined by any two points on the circle. The length of an arc is proportional to the circumference of the circle. The length of an arc is proportional to the circumference of the circle. The length of an arc can be found by setting up and solving a proportion. The length of an arc can be found by setting up and solving a proportion. There are 360 degrees in a circle. There are 360 degrees in a circle.

57. Sector of a Circle Part of a circle bounded by two radii and an arc. Part of a circle bounded by two radii and an arc. Shaped like a piece of pie. Shaped like a piece of pie. The area of a sector of a circle is proportional to the area of the circle. The area of a sector of a circle is proportional to the area of the circle.

59. Resetting the Memory

60. Friendly Viewing Window When tracing functions on the graphing calculator, it is helpful to have a “friendly” viewing window. When tracing functions on the graphing calculator, it is helpful to have a “friendly” viewing window. To obtain a “friendly” window, you must use multiples of 9.4 in the x min and x max. To obtain a “friendly” window, you must use multiples of 9.4 in the x min and x max.

61. Zoom 6 When you want the “standard” 10 by 10 window, on your graphing calculator, press zoom 6. When you want the “standard” 10 by 10 window, on your graphing calculator, press zoom 6.

62. Zoom 0 Zoom Fit Window Zoom Fit Window Use this window, to fit the function you have in y =. Use this window, to fit the function you have in y =.

63. Table Setup Press 2 nd Window to set up your table Press 2 nd Window to set up your table At TblMin tell the calculator where you want the table to start. At TblMin tell the calculator where you want the table to start. At Tbl, tell the calculator what to go up by. At Tbl, tell the calculator what to go up by.

64. Solve Algebraically, Confirm Graphically Solve Graphically, Confirm algebraically