1. CRCT Review

2. Types of Transformations
Translation:
slide
Rotation:
turn
Reflection:
flip/mirror image
Dilation:
enlarge / reduce

3. Transformation Rules: Rotation Reflection Translation (x, y) ->
90 around the origin (x, y) ->
(y, -x)
180 around the origin (x, y) ->
(-x, -y)
270 around the origin(x, y) ->
(-y, x)
Reflection
Over the x- axis (x, y) ->
(x, -y)
Over the y-axis (x, y) ->
(-x, y)
Translation (x, y) ->
Up/down add to the Y
Left/Right add to the X
Dilation (x, y) ->
Multiple to both the x and y

4. Congruent VS Similar Congruent Similar
Same Shape, Same Angles, Same Size
Similar
Same Shape, Same Angles, DIFFERENT Size

5. Angles Opposite / Vertical angles: Corresponding angles:
When 2 angles intersect; share a vertex
Corresponding angles:
Same position; same side of transversal
Alternate exterior angles:
Outside of parallel lines, opposite side of transversal
Alternate interior angles:
Inside of parallel lines, opposite side of transversal
Supplementary angles:
Angles that form a straight line
Complementary angles:
Angles that form a right angle

6. Angles Opposite / Vertical angles Corresponding angles
Alternate exterior angles
Alternate interior angles
Supplementary angles
Complementary angles

7. Exterior Angles Example: Angle a = 57 Angle b = 68
What is the measure of Angle d?

8. Exponents
( x m ) ( x n ) = x( m + n ) Ex: (x3)(x4) = ( xm ) n = x m n Ex: (x2)4 =

9. Exponents Negative Exponents – rewrite as a fraction ex: 𝑥 −3 =
Any base raised to the zero power has a value of 1

10. Scientific Notation Very LARGE numbers will have a POSITIVE exponent
Very SMALL numbers will have a NEGATIVE exponent

11. Scientific Notation
Write in decimal notation: 3.6 × 108 Convert 4.2 × 10–7 to decimal notation. Convert 93,000,000 to scientific notation.

12. Scientific Notation
Simplify and express in scientific notation: (2.6 × 105) (9.2 × 10–13)
Simplify and express in scientific notation: (8.2 × 10–3) ÷ (4 × 10–2)

13. Rational and Irrational #s
Rational #s= fractions, repeating decimals, terminating decimals, whole numbers, perfect square roots
Irrational #s= non-terminating and non- repeating decimals, non-perfect squares, and pi

14. irrational-numbers-game/rational-and- irrational-numbers-game.html

15. Square Roots

16. Cube Roots

17. Square Roots Non-perfect square roots
Find the perfect squares that are closest to the number.
Estimate a value between the square roots of the two closest perfect squares.
EX: 80

18. Linear Equations y = mx + b M= slope b = y-intercept EX: y = 2x – 6

19. Linear Function
What is the equation of the line?

20. Linear Equations
Intercept-Test/slope-intercept-test.html

21. X and Y Intercepts To find the x-intercept, set y = 0
To find the y-intercept, set x=0
Example find the x and y-intercepts:
3x + 4y = 12

22. Pythagorean Theorem

23. Pythagorean Theorem
theorem-game.html

24. Volume Cylinder= πr2h Cone=1⁄3πr2h Sphere= 4⁄3πr3

25. Big B / Little b Big B = Area of the b b= base
EX: Volume of a Cone V=1/3Bh
What does the “B” stand for?

26. Linear Functions Any function that forms a straight line
Has a constant rate of change
Can be written in slope intercept form
No exponents
Does not have a variable in the denominator
Linear or nonlinear??
y = 3x
y = 6 𝑥 + 8
y = 2𝑥 2 - 7

27. Functions Tables: Ordered Pairs Graphs: The x value cannot repeat
Vertical Line Test – only touches in 1 spot

28. Examples

29. Rate of Change
Slope
𝑅𝑖𝑠𝑒 𝑅𝑢𝑛
𝑌2−𝑌1 𝑋2−𝑋1

30. Slope

31. Bivariate Data 2 variables or quantities changing
Describe the association between age and height.

32. Scatter Plots
What is the equation for the line of best fit for each graph?

33. Systems of Equations
Graphing

34. Systems of Equations
Elimination:
x + y = 7
4x – y = 3

35. Systems of Equations
Substitution
3x – 2y = 5
x = 4y - 5