Agenda

Agenda

Algebra

?

I know

Word

That a point is defined by two coordinates (x, y).

4-2-2013

Why is a point defined by two coordinates?

Point

Math Review April 7, 20141a. 8x+(x+3)= (8x+x)+3

1b. 3a+b+2a=

b+3a+2a

1c.

9 = -2 (y+2)

2. Find the distance between (-2, 12) and (5, -12)

Distance FormulaProperties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

(2, -6) and (-1, 0)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That a system of equation’s solution is found at the point of

intersection.

4-1-2013

How do you know if two lines are parallel, perpendicular or

neither? Parallel Perpendicular

Math Review April 8, 20141a.

0 = - (y+2)

1b. a+b+a=

b+a+a

1c.

x+(x+7)= (x+x)+7

2. Find the distance between (-5, 24) and (2, 0)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

(2, -4) and (-1, 2)

y= mx + b

defines linear 2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That the Pythagorean Theorem works when I have a right triangle.

3-20-2013

How do you find a right angle in the real world?

Right angle = 90°

Math Review April 9, 20141a.

-6 (2x+1)= 2x

1b. 2a+(3a+9)= (2a+3a)+91c. -3+v+9=

v+-3+ 9

1c.

2. Find the distance between (-6, 0) and (1,0)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points Find the slope defined by:

(-2, 1) and (3,0)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That the Pythagorean Theorem is used to solve real life problems.

3-19-2013

When can I assume a right angles exists?

2-dimension

Math Review April 10, 20141a.

-6 (2x+1)= 2x

1b. -u+v+12u=

v+12u+ -u

1c.

x+(9x+1)= (x+9x)+1

2. Find the distance between (-6, 0) and (1,0)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

(0, 2) and (2,0)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That the Pythagorean Theorem can be used to find the side length of a

right triangle.

3-18-2013

How can you tell if a triangle is a right triangle?

a^2 + b^2 = c^2

Math Review April 14, 20141a.

-4 = - (3m+1)

1b. 2u+2v+u=

2v+2u+u

1c.

-x+(3x+2)= (-x+3x)+2

2. Find the distance between (-5, 2) and (1,-2)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

Line 1(0, 2) and (2,-2)Line 2(10, 2) and (2,-2)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That the Line of Best Fit for a scatterplot has the same number of

points above as below it.

3-13-2013

Why is the Line of Best Fit an average?

points

Math Review April 15, 20141a.

-11 = - (5m+1)

1b. u+v+10u=

v+u+10u

1c.

-2x+(x+2)= (-2x+x)+2

2. Find the distance between (-5, 3) and (10,-5)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

Line 1: (2, 2) and (2,-2)Line 2: (2, 2) and (-2,2)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Math Review April 16, 20141a.

8 = - (3y+9)

1b. 2a+2b+a=

2b+2a+a

1c.

6x+(4x+8)= (6x+4x)+8

2. Find the distance between (-5, 33) and (4,-7)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

Line 1(7, -2) and (-1,-2)Line 2(-1,-2) and (7, -2)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That a scatterplot has a line of best that is linear when the data has an average a constant rate of change.

3-12-2013

Why is the Line of Best Fit a straight line?

Average

Math Review April 17, 20141a.

8 = - (3y+9)

1b. 2a+2b+a=

2b+2a+a

1c.

6x+(4x+8)= (6x+4x)+8

2. Find the distance between (-5, 33) and (4,-7)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points and find the slope defined by:

Line 1 (1, 0) and (-2,6)Line 2 (0, 0) and (3,-6)

y= mx + b defines linear

2 2

2 12 1d y y x x

2 1

12

y ym

x x

Agenda

Algebra

?

I know

Word

That a scatterplot provides a summary of the data points.

3-4-2013

How do you draw a Line of Best Fit?

Line of Best Fit

Agenda

Geometry

?

I know

Word

How to analyze the pattern in an algebraic relationship using:

tables, graphs and equations.

3-4-2013

How do you find the common ratio in a geometric sequence?

Agenda

Geometry

?

I know

Word

How to analyze the pattern in an algebraic relationship using:

changes in y.

3-5-2013

How do you find the common difference/slope in an algebraic

sequence?

m =

Agenda

Geometry

?

I know

Word

the distance formula will find the distance between two points.

3-6-2013

How do you find the distance between two points?

22

2 1 2 1d y yx x

2 12 1d y y x x

Math Review April 21, 20141a. a+(b+c)=(a+b)+c

1b. a+b +c=b+a+c

1c. 2(x+1)=10

2a. Find the distance between (3, 4) and (0,0)

2b. Solve for c.a=4 and b=3

a2+b2=c2

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points, draw the line and find the equation defined by:

(-3, 5) and (0, 2) y= mx + b defines linear

2 2

2 12 1d y y x x

Math Review April 22, 20141a. -(2x+2)=16

1b. 9x+y+3x=

y+9x+3x

1c.

5x+(4x+3)= (5x+4x)+3

2. Find the distance between (-4, 3) and (0,0)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points, draw the line and find the equation defined by:

(-2, 4) and (1, 1) y= mx + b defines linear

2 2

2 12 1d y y x x

2b. Solve for c.a=3 and b=4

a2+b2=c2

Math Review April 23, 2014 1a. 3(2x+2)=18

1b. x+3y+5x=

3y+x+5x

1c.

7x+(3x+1)= (7x+3x)+1

2. Find the distance between (2, 3) and (-6, 9)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points, draw the line and find the equation defined by:

(-2, -4) and (2, 4) y= mx + b defines linear

2 2

2 12 1d y y x x

2b. Solve for c.a=6 and b=8

a2+b2=c2

Math Review April 24, 20141a. -7(2x+2)=28

1b. 7x+y+x=

y+7x+x

1c.

2a+(a+9)= (2a+a)+9

2a. Find the distance between (-6, 3) and (6,-2)

Properties of Real numbers: Associative, Commutative and Distributive.

3. Plot the points, draw the line and find the equation defined by:

(5, 3) and (-1, -3) y= mx + b defines linear

2 2

2 12 1d y y x x

2b. Solve for c.a=5 and b=12

a2+b2=c2

Solve StepsWord Problems 1. Draw – picture, graph, table 2. Known- from inside and outside the problem 3. Unknown – what are you being asked to find4. Relationship – between known and unknown 5. Solve6. Answer: Does it make sense? Plug it back in

Solve Steps1. Use GEMDAS - work one side then the

other2. Isolate the variable - when there is

nothing left to do on either side 3. Use one variable to solve for the other(s)

- for a system

Solve Steps1. Read and write down the problem 2. Ask yourself - What do I do next? 3. Think - about what you know

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

Agenda

Linear Functions

?

I know

Word

the slope intercept form defines linear.

11-14-2012

Why do linear equations graph a straight line?

Change in y

Change in x

Number Theory

Irrational

Real

Rational

Integers form positive, negative and zero

Whole positive zero

a

b

Real Numbers

Agenda

Real Number Operations

?

I know

Word

Multiplication is repeated addition; Division repeated subtraction

What are the four things you can do to a number?

Inverse 9-10-2012

Decimal – place value

Y-interceptX-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

Notebook

Notes from class

DateTitle

Organizer Notes from class

Happy Mole Day!!!!