1. 2nd 9 weeks Review

2. Strategies for word problems
Read the word problem- draw a picture if needed
Circle all numbers (symbols, words, special words)
Underline math vocabulary
Box the question (?) or the commanding statement
Equation – Write your equation
Solve and look at all the answers.

3. Scatterplot Correlation (Association or Trend)
Positive linear correlation
dots move along line to top
As x increases, y also increases
Negative linear correlation
Dots move along line to bottom
As x increases, y decreases
Non-Linear correlation
Dots move in a curve
No correlation
Dots everywhere!

4. Your Turn What variables are compared?
What kind of correlation is shown
How many students would you predict when it is 13 years since 1999?

5. Systems of Equations Has 2 equations or 2 graphs.
The solution is the point where both graphs intersect.
Make sure you identify the point correctly. (X,Y)
If you have to graph
1) make sure your equation is in y=mx+b form
2) Make a table: x|equation|y|point
3) Plot your points
4)repeat for the other graph
5) Find the intersection (point that both graphs share)
The solution
Is (-2,1)

6. Your turn
Find the solution to the systems shown.

7. Translations (Slides)
Looks Like
Effects:
Translations preserve both congruence and orientation.
Same shape & same size
Written translation:
The preimage was translated 2 units right and 5 units down
Algebraic representation:
(x,y)(x+2, y-5)

8. Your turn
Write the algebraic representation
(x,y)(

9. Reflections (Flips) Reflection across the x axis Same size & shape
Written description: triangle ABC is reflected across the x axis
Algebraic Representation: (x,y)(x, -y)
Reflection across the y axis
Same size & shape
Written description
Quadrilateral KLMN is reflected across the y axis
Algebraic Representation
(x,y)(-x,y)

10. Your turn
Algebraic Representation:
(X,Y)(

11. Rotations(Turns)- Rotated around a point. Trace and turn like a clock.
Looks the same as the original figure.
(x,y)(x,y)

12. Your Turn
Algebraic Representation:
(X,Y)(

13. Dilations – Enlargements & reductions
*The scale factor tells a lot. k which is called the scale 𝑓𝑎𝑐𝑡𝑜𝑟= 𝑁𝑒𝑤 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡 𝑜𝑙𝑑 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡
Scale Factor < 1
Scale factor is less than 1
(x,y)(kx, ky)
(x,y)(½ x, ½ y)
Scale Factor >1
Scale factor is greater than 1
(x,y)(2x,2y)
Scale Factor = 1
Scale factor is equal to 1
Same Image!!!!
Congruent!!!!!
(x,y)(kx,ky)
(x,y)(1x,1y)

14. Your Turn
Algebraic Representation:
(X,Y)(

15. Pythagorean Theorem State the formula a2 + b2 = c2
How do you identify the hypotenuse?
The longest side
The opposite of the 90 degree angle
How do you solve
Hypotenuse – you add
Leg – you subtract
It always has to be a right triangle and don’t forget to look at the units!
*Key terms – diagonal, pictures in the shape of a right triangle, length, distance between points

16. Your Turn Reading a model Testing the converse Real world problem
How does this model represent the Pythagorean theorem?
A triangle has sides with lengths of 6 cm, 8cm, and 10 cm. Is it a right triangle?
Mr. Harmon is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 15 feet high. The base of the ladder is 8 feet away from the house, where Mr. Harmon’s son is holding it steady. How long is the ladder?