Math Review May 12, 2014

1. Math Review May 12, 2014 • Distribute to solve for y • (x + 6) (x + 12) = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = x2 Solve for the unknown number. y= mx + b defines linear Solve 1a. 10 = lx – 2l 1b. 10 = 2(y+2) 1c. 6 =

2. Math Review May 13, 2014 • Distribute to solve for y • (x + 4) (x + 3) = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = 2x2 Solve for the unknown number. y= mx + b defines linear Solve 1a. 4 = lx – 6l 1b. 9 = 3(y+4) 1c. 4 =

3. Math Review May 14, 2014 • Distribute to solve for y • (x + 5) (x + 5) = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = -x2 Solve for the unknown number. y= mx + b defines linear Solve 1a. 14 = lx – 7l 1b. 12 = 4(y+4) 1c. 8 =

4. Math Review May 15, 2014 • Distribute to solve for y • (x + 3) (x + 3) = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = -2x2 Solve for the unknown number. y= mx + b defines linear Solve 1a. 4 = l2x + 6l 1b. 9 = -(y+4) 1c. 7 =

5. Math Review May 19, 2014 • Distribute to solve for y • (x + 3)2 = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = Solve for the unknown number. y= mx + b defines linear Solve 1a. 2 = l4x - 6l 1b. 9 > -(y-4) 1c. 3 =

6. Math Review May 20, 2014 • Distribute to solve for y • (x + 7)2 = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = Solve for the unknown number. y= mx + b defines linear Solve 1a. 9 = l-x - 6l 1b. 16 > -2(y-4) 1c. 7 =

7. Math Review May 21, 2014 • Distribute to solve for y • (x + 4)2 = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = Solve for the unknown number. y= mx + b defines linear Solve 1a. 12 = 2 lx + 2l 1b. -2 > -4(y+1) 1c. 4 =

8. Math Review May 22, 2014 • Distribute to solve for y • (x + 9)2 = y • Distribute – give one to everyone. • Wind and Wave • FOIL • Graph: • y = Solve for the unknown number. y= mx + b defines linear Solve 1a. 12 = 2 lx + 2l 1b. 16 > -2(y+4) 1c. 8 =

9. Agenda Algebra That a point is defined by two coordinates (x, y). I know ? Why is a point defined by two coordinates? Word Point 4-2-2013

10. Math Review April 7, 2014 Find the distance between (-2, 12) and (5, -12) Distance Formula • Plot the points and find the slope defined by: • (2, -6) and (-1, 0) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. 8x+(x+3)= (8x+x)+3 1b. 3a+b+2a= b+3a+2a 1c. 9 = -2 (y+2)

11. Agenda Algebra That a system of equation’s solution is found at the point of intersection. I know ? How do you know if two lines are parallel, perpendicular or neither? Word Parallel Perpendicular 4-1-2013

12. Math Review April 8, 2014 2. Find the distance between (-5, 24) and (2, 0) • Plot the points and find the slope defined by: • (2, -4) and (-1, 2) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. 0 = - (y+2) 1b. a+b+a= b+a+a 1c. x+(x+7)= (x+x)+7

13. Agenda Algebra I know That the Pythagorean Theorem works when I have a right triangle. ? How do you find a right angle in the real world? Word Right angle = 90° 3-20-2013

14. Math Review April 9, 2014 2. Find the distance between (-6, 0) and (1,0) • Plot the points Find the slope defined by: • (-2, 1) and (3,0) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -6 (2x+1)= 2x 1b. 2a+(3a+9)= (2a+3a)+9 1c. -3+v+9= v+-3+ 9 1c.

15. Agenda Algebra That the Pythagorean Theorem is used to solve real life problems. I know ? When can I assume a right angles exists? Word 2-dimension 3-19-2013

16. Math Review April 10, 2014 2. Find the distance between (-6, 0) and (1,0) • Plot the points and find the slope defined by: • (0, 2) and (2,0) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -6 (2x+1)= 2x 1b. -u+v+12u= v+12u+ -u 1c. x+(9x+1)= (x+9x)+1

17. Agenda Algebra That the Pythagorean Theorem can be used to find the side length of a right triangle. I know ? How can you tell if a triangle is a right triangle? Word a^2 + b^2 = c^2 3-18-2013

18. Math Review April 14, 2014 2. Find the distance between (-5, 2) and (1,-2) • Plot the points and find the slope defined by: • Line 1 • (0, 2) and (2,-2) • Line 2 • (10, 2) and (2,-2) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -4 = - (3m+1) 1b. 2u+2v+u= 2v+2u+u 1c. -x+(3x+2)= (-x+3x)+2

19. Agenda Algebra That the Line of Best Fit for a scatterplot has the same number of points above as below it. I know ? Why is the Line of Best Fit an average? Word points 3-13-2013

20. Math Review April 15, 2014 2. Find the distance between (-5, 3) and (10,-5) • Plot the points and find the slope defined by: • Line 1: • (2, 2) and (2,-2) • Line 2: • (2, 2) and (-2,2) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -11 = - (5m+1) 1b. u+v+10u= v+u+10u 1c. -2x+(x+2)= (-2x+x)+2

21. Math Review April 16, 2014 2. Find the distance between (-5, 33) and (4,-7) • Plot the points and find the slope defined by: • Line 1 • (7, -2) and (-1,-2) • Line 2 • (-1,-2) and (7, -2) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. 8 = - (3y+9) 1b. 2a+2b+a= 2b+2a+a 1c. 6x+(4x+8)= (6x+4x)+8

22. Agenda Algebra That a scatterplot has a line of best that is linear when the data has an average a constant rate of change. I know ? Why is the Line of Best Fit a straight line? Word Average 3-12-2013

23. Math Review April 17, 2014 2. Find the distance between (-5, 33) and (4,-7) • Plot the points and find the slope defined by: • Line 1 • (1, 0) and (-2,6) • Line 2 • (0, 0) and (3,-6) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. 8 = - (3y+9) 1b. 2a+2b+a= 2b+2a+a 1c. 6x+(4x+8)= (6x+4x)+8

24. Agenda Algebra I know That a scatterplot provides a summary of the data points. ? How do you draw a Line of Best Fit? Word Line of Best Fit 3-4-2013

25. Agenda Geometry I know How to analyze the pattern in an algebraic relationship using: tables, graphs and equations. ? How do you find the common ratio in a geometric sequence? Word 3-4-2013

26. Agenda Geometry How to analyze the pattern in an algebraic relationship using: changes in y. I know How do you find the common difference/slope in an algebraic sequence? ? Word m = 3-5-2013

27. Agenda Geometry I know the distance formula will find the distance between two points. ? How do you find the distance between two points? Word 3-6-2013

29. Math Review April 21, 2014 2a. Find the distance between (3, 4) and (0,0) 2b. Solve for c. a=4 and b=3 a2+b2=c2 • Plot the points, draw the line and find the equation defined by: • (-3, 5) and (0, 2) Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. a+(b+c)=(a+b)+c 1b. a+b +c=b+a+c 1c. 2(x+1)=10

30. Math Review April 22, 2014 • Plot the points, draw the line and find the equation defined by: • (-2, 4) and (1, 1) 2. Find the distance between (-4, 3) and (0,0) 2b. Solve for c. a=3 and b=4 a2+b2=c2 Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -(2x+2)=16 1b. 9x+y+3x= y+9x+3x 1c. 5x+(4x+3)= (5x+4x)+3

31. Math Review April 23, 2014 2. Find the distance between (2, 3) and (-6, 9) • Plot the points, draw the line and find the equation defined by: • (-2, -4) and (2, 4) 2b. Solve for c. a=6 and b=8 a2+b2=c2 Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. 3(2x+2)=18 1b. x+3y+5x= 3y+x+5x 1c. 7x+(3x+1)= (7x+3x)+1

32. Math Review April 24, 2014 2a. Find the distance between (-6, 3) and (6,-2) • Plot the points, draw the line and find the equation defined by: • (5, 3) and (-1, -3) 2b. Solve for c. a=5 and b=12 a2+b2=c2 Properties of Real numbers: Associative, Commutative and Distributive. y= mx + b defines linear 1a. -7(2x+2)=28 1b. 7x+y+x= y+7x+x 1c. 2a+(a+9)= (2a+a)+9

33. Solve Steps • Word Problems • Draw – picture, graph, table • Known- from inside and outside the problem • Unknown – what are you being asked to find • Relationship – between known and unknown • Solve • Answer: Does it make sense? Plug it back in

34. Solve Steps • Use GEMDAS - work one side then the other • Isolate the variable - when there is nothing left to do on either side • Use one variable to solve for the other(s) - for a system

35. Solve Steps • Read and write down the problem • Ask yourself - What do I do next? • Think - about what you know

38. 2y=4x+6 y=2x+3

41. Agenda Linear Functions I know the slope intercept form defines linear. ? Why do linear equations graph a straight line? Word 11-14-2012

42. Number Theory Real Irrational Rational Integers form positive, negative and zero Whole positive zero

43. Real Numbers

44. I know Multiplication is repeated addition; Division repeated subtraction Agenda ? What are the four things you can do to a number? Real Number Operations Word Inverse 9-10-2012

45. Decimal – place value

48. Y-intercept X-intercept • Find the y-intercept by setting x to zero and solving for y. • Find the x-intercept by setting y to zero and solving for x

49. Notebook Date Title Organizer Notes from class Notes from class

50. Happy Mole Day!!!!