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Math Review May 12, 2014

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- 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 =

- 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 =

- 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 =

- 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 =

- 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 =

- 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 =

- 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 =

- 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 =

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

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)

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

- 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

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

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

- 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

- 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

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

2y=4x+6

y=2x+3

Agenda

Linear Functions

I know

the slope intercept form

defines linear.

?

Why do linear equations graph a straight line?

Word

11-14-2012

Real

Irrational

Rational

Integers form

positive, negative and zero

Whole positive

zero

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

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

Date

Title

Organizer Notes from class

Notes from class

Happy Mole Day!!!!