1. Which is heavier?

2. Warm-up – April 1, 2013 Construct an x-y table and graph for each:
1. f(x) = 2x -3
2. g(x) = x2 + 1
3. g(x) = x2 + x + 1
4. g(x) = x3 - 1

3. Math is brought to you by the number …
April 1, 2013
Day 57 of 90
90-57 =

5. Interactive Notebook
p31 MCC912.A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
P33 MCC912.A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

6. EOCT

7. EOCT

8. EOCT

9. EOCT

10. Unit 5 Vocabulary
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.

11. Angle
A shape, formed by two lines or rays diverging from a common point (the vertex).
The angle is

12. Circle
The set of points on a plane at a certain distance, or radius, from a single point, the center

13. Perpendicular Line Two lines that intersect at a right angle (90°).
Written as

14. Parallel Line
Lines in a plane that either do not share any points and never intersect, or share all points.
Written as

15. Line Segment
A line with two endpoints.
Written as

16. Point An exact position or location in a given plane.
Point A or Point B

17. Line
The set of points between points P and Q in a plane and the infinite number of points that continue beyond the points.
Written as

18. Distance along a line
The linear distance between two points on a given line.

19. Right Angle
An angle that measures 90°.

20. Acute Angle
An angle measuring less than 90° but greater than 0°.

21. Obtuse Angle
An angle measuring greater than 90° but less than 180°.

22. One-to-One
A relationship wherein each point in a set of points is mapped to exactly one other point.

23. Pre-image
The original figure before undergoing a transformation.

24. Image
The new, resulting figure after a transformation

25. Isometry
A transformation in which the preimage and image are congruent.

26. Every segment is congruent to its image.
Transformations are called RIGID if every image is congruent to its preimage.
Rigid transformations can also be referred to as an ISOMETRY.
Every segment is congruent to its image.

27. Which of the following are rigid transformations? (Isometry)

28. Isometries not only preserve lengths, but they preserve angle measures parallel lines, and betweenness of points

29. Find the value of each variable, given that the transformation is an isometry.

30. Congruent
Figures are congruent if they have the same shape, size, lines, and angles.

31. Similar Triangles
Triangles are similar if they have the same shape but have different sizes.

32. Even and Odd Functions
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.

33. Algebraically A function is even if A function is odd if
All of the exponents of the variable are even.
A function is odd if
All of the exponents of the variable are odd.
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.
A function is neither if
The exponents are a mixture of odd and even

34. All constants really have a x0
BEWARE OF CONSTANTS
All constants really have a x0
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.

35. x0 is EVEN!!
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.

36. Graphically A function is even if A function is odd if
The graph reflects across the y-axis
(means you can fold it hotdog style and it would match up).
A function is odd if
The easiest thing to do is to plug in 1 and -1 (or 2 and -2)
if you get the same y, then it’s Even.
If you get the opposite y, then it’s Odd.
If you get different y’s, then it’s Neither.
The graph has 180 rotational symmetry about the ORIGIN
(means you could turn it upside-down & it would still look the same...it must go through the origin).

37. Even, Odd or Neither?
Ex. 1
Algebraically 1
ODD

38. Even, Odd or Neither?
Ex. 2
Algebraically x0
EVEN

39. Even, Odd or Neither?
Ex. 3
Graphically
EVEN

40. Even, Odd or Neither?
Ex. 4
Graphically
Neither 

41. Even, Odd or Neither? 1 x0
EVEN
ODD

42. Even, Odd or Neither? x0
ODD
ODD
Even

43. Even, Odd or Neither? 1
1 x0
neither
ODD
neither

44. Even, Odd or Neither? 
EVEN
ODD

45. Even, Odd or Neither?  
EVEN
Neither
ODD

46. If the dots shown are part of an even function, what points are also on the function?

47. If the dots shown are part of an odd function, what points are also on the function?

48. HW Practice WS