Algebra 1 – 2 Six Weeks · 2018-09-07 · Algebra 1 – 2nd Six Weeks Second Six Weeks October 6...

Algebra 1 – 2nd Six Weeks

Second Six Weeks October 6 – November 14, 2014

Monday Tuesday Wednesday Thursday Friday

October 6 B Day 7 A Day 8 B Day 9 A Day 10 B Day Elaboration Day

Test 1 - Cluster 2 Test

Direct Variation

-parent functions (constant/linear)

-constant of variation

13 14 A Day 15 B Day 16 A Day 17 B Day

Professional

Development Day

Slope

-from a table,

ordered pairs,

equations, verbal

PSAT Day

9-11th

Slope

-from a table, ordered pairs, equations,

verbal

X and Y intercepts

20 A Day 21 B Day 22 A Day 23 B Day 24 A Day

Applications Day (Changes to m & b)

SKILL CHECK

Graphing Linear Equations - Day 1

-use y = and f(x)=

-from slope-intercept (solve for y and graph)

-from standard form (x and y intercepts)

Graphing Linear- Day 2

-transformations

including function

notation for specific a,

b, c, and d values

QUIZ

27 B Day 28 A Day 29 B Day 30 A Day 31 B Day Graphing Linear -Day 2

-transformations

QUIZ

Applications (Reasonable Domain and Range)

Review Concepts

-Slope

-Intercepts

-Graphing Linear

-Direct Variation

Test 2 – Teacher Test

Nov 3 A Day 4 B Day 5 A Day 6 B Day 7 A Day Writing Equations - Day 1

-given m and b

-point/slope

-given 2 points

-from a table

Writing Equations - Day 2

-verbal

-go between forms

Scatterplots

-regression

-correlation

coefficient

QUIZ

10 B Day 11 A Day 12 B Day 13 A Day 14 B Day Scatterplots

-regression

-correlation

coefficient

QUIZ

Parallel & Perpendicular Lines – Day 1

-use graphs to compare

-write parallel and perpendicular lines

-include horizontal and vertical

-parallel and perpendicular with respect to

the x & y axis (new)

Parallel & Perpendicular Lines – Day 2

1

Identify “k”

Sketch a graph for

each equation.

Create a table for

each graph.

What do you

notice about each

graph and each

table?

• Variables x and y show

when = .

• “k” is called the of .

• We say, “ varies with “.

y = -5x y = x y = x2

1

k = k = k =

3

Find the constant

of variation.

Assume y varies

directly with x.

Find the specified

value.

a. y = 3 when x = 24 b. y = 36 when x = -9

c.

a. If y = 8 when x = 4, find y when x = 12.

b. If y = -15 when x = 5, find x when y = -4.

Summary:

-2 50

-1 25

3 -75

4 -100

6 -150

4

Direct Variation

For each table find the constant of variation (slope) and corresponding equation.

1. k = _______ (slope)

Equation __________________

2. k = ________ (slope)

Equation ___________________

Tell whether each illustrates a direct variation. If yes, why?

3. A person’s arm span, and his or her height.

4. The number of eggs used in a particular recipe, and the number of cups of flour used.

5. The number of people sharing an apartment, and the number of dollars rent each one

must pay a month.

Find the constant of variation (k) for each. Assume y varies directly with x.

6. y = 12 when x = 24

7. y = 7 when x = 49

8. y = −36 when x = −4

x 3 4 5

y 18 24 30

x 1 4 7

y 4 16 28

Name Date

5

Solve. Assume y varies directly with x. (Hint: Set up proportion)

9. If y = 2 when x = 6, find y when x = 24.

10. If x = −12 when y = −3, find x when y = −6.

11. If y = 7 when x = 2, find y when x = 8.

12. If y = 6 when x = −3, find x when y = 24.

13. Gary’s wages vary directly with the times he works. If his wages for 5 hours are $60,

what are his wages for 50 hours?

14. Kate earned $120 for 12 cars she washed. If the amount Kate earns varies directly with

the number of cars she washed, how much will she earn for 5 cars?

6

Slope: Exploring Rate of Change

Complete the table to show Heather’s distance while bike riding.

# of hours Calculation Total Distance Ordered Pair 2 12 3 18 4 24 5 30

1. What does the ordered pair (3, 18) mean?

2. What is the rate of change for Heather’s bike ride?

3. Write the equation that describes the relationship between the number of

hours (h) Heather rides her bike and the total distance she travels (d).

4. Graph the ordered pairs from the table above. Label each axis.

5. a. What is the change in miles from (2, 12) to (5, 30)?

b. How did you get this answer?

c. On the graph, is the change in miles vertical or horizontal?

7

6. a. What is the change in hours from (2, 12) to (5, 30)?


c. On the graph, is the change in hours vertical or horizontal?

7. a. What is the speed as a fraction?

hour

miles


c. How do the answers you got in 5a and 6a relate to speed?

8. How did we find this speed using our x and y values on the graph?

(What is in the numerator and what is in the denominator?)

9. We are creating an equation we can use to find slope/rate of change

anytime! What do you think the equation is?

10. Complete the chart and show how you can use the definition of slope to find

the rate of change in the following table.

x y 3 12.75 4 17 5 21.25 6 7

Slope = ______

8

H – horizontal O – zero slope Y – crosses y-axis Y – y = #

V – vertical U – undefined slope X – crosses x-axis X – x = #

y = - 4 x = - 3

I can find SLOPE (M) from…

Graph Table Ordered Pairs Equation

x f(x)

-1 -2

2 4

4 8

5 10

8 16

(2, -3)

(5, -6) y = -2x + 5

9

Rate of Change RATIO Steepness of a Line

SLOPE

(M)

SLOPE

(M)

SLOPE

(M)

RATIO – Division!

x f(x)

-1 -2

2 4

4 8

5 10

8 16

Slope-Intercept Form

y = Mx + B

Ex: Find the slope:

y = -2x + 5

y = ¼x + 3

y = x

Ex: Find the slope of the line

that passes through the points

(2, -3) (5, -6)

SLOPE

(M)

10

Evaluate: Algebra I Name _______________________________

HW: Slope Date _______________ Period __________

Plot the points and draw a line through them. Without calculating, tell whether the slope of the line is

positive, negative, zero or undefined.

1. (1, -4) and (5, -8) 2. (-3, 6) and (-3, 0)

3. (7, 1) and (-2, 1) 4. (-4, -5) and (-3, -2)

Find the slope value of the line that passes through the points.

5. Slope = _________ 6. Slope = ___________ 7. Slope = ___________

a. Positive

b. Negative

c. Zero

d. Undefined

a. Positive

b. Negative

c. Zero

d. Undefined

a. Positive

b. Negative

c. Zero

d. Undefined

a. Positive

b. Negative

c. Zero

d. Undefined

11

Find the slope value of the line that passes through the points represented in each table.

8. Slope = _________ 9. Slope = _________ 10. Slope = _________

Find the slope value of the line that passes through the points.

11. Slope = _________ 12. Slope = _________ 13. Slope = _________

(3, 1) and (-5, 3) (3, 2) and (8, 2) (-5, -4) and (1, -2)

Find the slope value from the following equations.

14.Slope = _______ 15. Slope = _______ 16. Slope = _______

y = 2x + 7 y = -x -3 y = �

�x + 8

Find the value of x or y so that the line passing through the two points has the given slope.

17. (-3, y), (-9, -2); m = 1 18. (x, -7), (1, 2); m = 3

19. (8, 1), (1, y); m = -1 20. (7, 5), (x, 2); m = �

�

x y

-5 -3

1 2

7 7

x y

5 -2

5 5

5 8

x y

-1 2

4 -1

9 -4

12

x- and y-intercepts What is an x-intercept? What is a y-intercept? A. What are the x- and y-intercepts of the graph below? Write you answer as an ordered pair. x-intercept____________ y-intercept____________ Find the x- and y-intercepts in ordered pair form for the following two graphs.

x-intercept________ x-intercept__________ y-intercept________ y-intercept__________ B. Write the coordinates for the x- and y-intercepts for the following examples. 1. x-intercept is 4 2. y-intercept is 4 3. y-intercept is -1 4. x-intercept is -3.5 5. x-intercept is 0 6. y-intercept is -3/4

C. Graph the equation 632 =+ yx and then find the x- and y-intercepts. Use your calculator to

find good points! x-int: _________ y-int: _________

x y

13

Given the table below, what is the x-intercept and the y-intercept? x- intercept: __________ y intercept: _________ D. We can also find the intercepts using algebra rather than graphing. To find the x-intercept_______________________________________________ To find the y-intercept_______________________________________________ Find the x- and y-intercepts for the following examples using algebra. Show all work!

1. 7−= xy

2. 63

2+= xy

3. 1053 =− yx

4. -3x +9y = 12

x y

4 9

2 5

0 1

-.5 0

14

Algebra 1 Name ________________________

Linear Equations Assignment Date ______________ Period ____

Given Equation X-Intercept Y-Intercept graph Solve for Y Slope

1. -3x + y = 4

x-intercept

( , )

y-intercept

( , )

2. x – 2y = 4

x-intercept

( , )

y-intercept

( , )

3. y = 4

x-intercept

( , )

y-intercept

( , )

4. x = -2

x-intercept

( , )

y-intercept

( , )

15

Given Equation X-Intercept Y-Intercept graph Solve for Y Slope

5. 2x – y = -1

x-intercept

( , )

y-intercept

( , )

6. -3x + y = 0

x-intercept

( , )

y-intercept

( , )

7. x – y = 3

x-intercept

( , )

y-intercept

( , )

8. x + y = -1

x-intercept

( , )

y-intercept

( , )

16

Safari Hunt Treasure Map

18

Interpreting Slope and Intercepts

Fill in the table for each situation.

19


20


21

Understanding Slope and Intercepts

Identify the correct answer choice. Explain why the other answer choices are wrong.

1. The graph shows the amount of gasoline in a car’s gas tank after x

hours. Which statement is true?

A. The car uses 2 gallons of gas each hour.

B. The car uses 8 gallons of gas every 4 hours.

C. The car has a 16 gallon tank.

D. The gas tank is empty after 4 hours.

2. Alex’s office has a water cooler. The table shows how many liters y of water are left in the cooler

x days after it is filled. Which statement describes the x-intercept of the function that models the

data?

A. The cooler holds 36 liters of water.

B. The cooler is empty after 3 days.

C. People drink 9 liters per day.

D. People drink 12 liters per day.

3. The graph of the line models the amount of

memory remaining on Julia’s mp3 player as she

adds songs to the device. In this situation, what

does the slope of the line represent?

A. The memory remaining decreases at a

rate of approximately 4.2 MB per song.

B. The memory remaining increases at a

rate of approximately 4.2 MB per song.

C. The memory remaining decreases at a

rate of approximately 42 MB per song.

D. The memory remaining increases at a

rate of approximately 42 MB per song.

Name Date

22

4. In the equation y = 2x + 3, y represents the total number of preseason and regular season games

that your softball team played this summer. The variable x represents the number of weeks in

the regular season. Which statement is true?

A. The regular season lasts 2 weeks.

B. The preseason lasts 2 weeks.

C. Your team plays 3 preseason games.

D. Your team plays 3 regular season games each week.

5. A particular mosaic tile is being used in a kitchen backsplash design. The graph of the equation

that models the situation shows the relationship between the number of tiles needed and the

length of the design in feet. Which of the following best describes the meaning of the slope of

the line for this situation?

A. The length of the design increases at a rate of 12 tiles per foot.

B. The length of the design increases at a rate of 10 tiles per foot.

C. The length of the design increases at a rate of 6 tiles per foot.

D. The length of the design increases at a rate of 2 tiles per foot.

6. The cost of a plumbing repair includes a $50 fee plus a cost of $15 per hour. In a graph of the

equation to model this situation, what does the $50 fee represent?

A. x-intercept

B. y-intercept

C. slope

D. point of intersection

23

7. Belinda bought lemonade to serve at her birthday party. The graph models the relationship

between the number of glasses of lemonade served and the amount of lemonade remaining. In

this situation, what does the x-intercept represent?

A. Belinda is serving 12 ounces of lemonade per glass.

B. Belinda started with 320 ounces of lemonade.

C. Belinda has enough lemonade for about 26 servings.

D. Belinda can serve about 5 people per gallon.

8. The equation y = 4x + 5 gives the elevation y in meters of an elevator as a function of x seconds.

Which statement describes the meaning of the slope of the function?

A. The elevator starts at 4 meters above street level.

B. The elevator starts at 5 meters above street level.

C. The elevator rises 5 meters per second.

D. The elevator rises 4 meters per second.

9. Sam is walking down the stairs in his office building. The equation y = -4x + 11 gives his elevation

y in floors above the street after x minutes. What statement is true?

A. Sam starts below street level.

B. Sam descends 4 floors per minute.

C. Sam starts 4 floors above street level.

D. Same descends 11 floors per minute.

24

Name: __________________ Algebra 1

Graphing Lines

Graphing Lines

For questions #1 – 3, graph the line that contains the two points listed.

1. (-3, 1) and (2, 6) 2. (1,-2) and (- 1, 2) 3. (0, 4) and (0, 7)

Graph the following lines, given the slope and a point on the line.

4. m = 2/5 ; (0, -1) 5. m = -3 ; (0, 5) 6. m = 1/4 ; (0, 0)

25

7. m = 0 ; (-1, 6) 8. m = -1 ; (6, -2) 9. m = undefined ; (5, 4)

For #10-15, solve for y. Then graph the line.

10. y + 3 = -2(x – 5) 11. y + 4 = (x – 3) 12. 5x + 4y = 20

13. 3x + 4y = 12 14. X = 3 15. y = 5x + 3

2

3

m=______ ( , ) m=______ ( , ) ( , ) & ( , )

y=__________ Two Points: ( , ) & ( , ) y= _____________

26

HW Graphing Equations: Name_____________________

Date____________Period_____ Solve the following problems for the variable y and graph them on the graph provided. 1) 5x = y + 4 2) y - 10 = -4x

3) 6x + y = 6 4) 4x + 3y = 12

27

5) 6x - 2y = 2 6) 9x - 3y = 3

7) y -4 = 2 (x + 3) 8) y = -4x + 6

28

Transformations to Linear Functions – Engage

1. What is the linear parent function?

2. What is its slope?

3. What is its y-intercept?

4. Why is it considered a function?

5. What does its graph look like?

6. Where is its graph in relation to the origin?

7. What quadrants does its graph pass through?

8. What is its domain?

9. What is its range?

10. Why do you think it is called the parent function?

11. Compare and contrast the parent function to other lines

that you have seen.

29

Changes to m and b EXPLORE

1. y1 = x y2 = 2x y3 = 5x

Describe the change of the slope and the change of the graph. ________________________________

2. y1 = x y2 = 0.5x y3 = 0.8x

Describe the change of the slope and the change of the graph. ________________________________

3. y1 = x y2 = x + 1 y3 = x + 3

Describe the change of the y-intercept and the change of the graph. ________________________________ 4. y1 = x y2 = x – 1 y3 = x – 5

Describe the change of the y-intercept and the change of the graph. ________________________________

1. The parent function is y = x. Highlight (or circle) the part that is different on the y2, and y3 equations. 2. Sketch a graph of the following equations on the same coordinate plane, using a different color for each line.

30

Changes to and Meaning of m and b EXPLAIN

Changes to m: What is the equation of the line on the graph? EQ:

b =

m =

What is the new equation if the slope is changed to 2? Graph this EQ. When the slope _______________, the line got _______________.

What is the difference between y = 6x + 1 and y = 2/3 x + 1? y = 6x + 1

m =

b =

y = 2/3 x + 1

m =

b =

When the slope _______________, the line got _______________.

SUMMARY of changes to m: When the absolute value of the slope (_____) is increased, a line gets ___________________.

When the absolute value of the slope (_____) is decreased, a line gets ___________________.

When the sign of the slope (_____) is changed, the line changes ____________________.

Changes to b:

What is the equation of the line on the graph? EQ:

b =

m =

What is the equation that results when you replace b with -3? What happens to the line? What kind of lines are these?

What is the equation of the line on the graph? EQ:

b =

m =

What is the equation of this line if it is translated 5 units up?

What happens to the line? What kind of lines are these?

SUMMARY of changes to b: When the y-intercept (_____) is changed, it results in a ____________________ shift.

A positive change means an ____________________ shift.

A negative change means a ____________________ shift.

31

Meaning of m and b: 1. How do you find the y- intercept given the following linear representations a. an equation? b. a table or points? c. a graph?

2. How do you find the slope given the following linear representations a. an equation? b. a table or points? c. a graph?

3. What is the slope formula?

4. What does x

y

∆

∆mean?

Using this information, interpret the slope and y-intercept for each of the following:

5. a. What is the y-intercept? b. What does it mean? 6. a. What is the x-intercept? b. What does it mean?

7. a. What is the slope? b. What does it mean?

8. Label each axis as independent or dependent. 9. ______________ depends on ______.

10. How can the slope be interpreted given just the independent and dependent variables? Practice Equation: y = -25x + 500

11. What happens to the line if the slope changes to 50?

12. What happens to the line if the 500 is changed to a -40?

13. What would cause the line to shift up 15 units?

14. What would make the line flatter?

15. If the equation was a situation where amount of money in a savings account depends on the number of weeks, what is the meaning of the: slope? y-intercept? x-intercept?

32

Changes to and Meaning of m and b ELABORATE

1. A recording studio charges musicians a fee of $50 to record an album in their studio. Studio

time costs an additional $35 per hour. Next year, the fee will go up to $100 for the recording

and the hourly rate for studio time will change to $25.

Original EQ:

New EQ:

What effects would these changes have on the graph?

Meaning of the slope:

Meaning of the y-intercept:

2.

What would happen to the graph if you earned $0.07 per bottle you recycled? 3.

Irma has a 12-gallon bucket. She fills the bucket with 9 gallons of water. The bucket has a crack and leaks water.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with meaning:

Equation: Independent: Dependent:

Domain: Range:

What would happen to the graph if she only filled the bucket with 6 gallons?

Andrew sells electronics. He earns 14% commission on his daily sales.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with meaning:


Domain: Range:

What would happen to the graph if he earned 15% commission?

# bottles recycled 9 33 57 96

$ made 0.45 1.65 2.85 4.80

Slope and meaning: y-intercept and meaning:

33

Changes to and Meaning of m and b EVALUATE Name: __________________________ For #1-3, consider the following graph 1. What are the coordinates of the x-intercept? _______________ 2. If the x-intercept stays the same and the y-intercept is changed to (0, -6),

What happens to the slope of the line? ________________________ 3. If the y-intercept stays as shown and the x-intercept becomes (-8, 0), what

happens to the slope of the line? _____________________________ Give the new Equation for each line. 4. y = 5x + 9 is translated 7 units down 5. y = 1 – x is translated 5 up. 6. y = -8 + 3/2 x is translated 2 units up 7. y = x is translated 8 units down For #8-12, a submarine was at -195 meters and then it rose at 12 meters per minute. 8. Write the equation of the line. Find the reasonable domain and range. EQ:

Reasonable Domain:

Reasonable Range:

9. How would the slope of the line change if the -195 were changed to -250. a. The line would be steeper

b. The line would be less steep c. The line would have the same slope

10. How would the slope of the line change if the 12 were changed to 10. a. The line would be steeper

b. The line would be less steep c. The line would have the same slope

11. How would the y-intercept of the line change if the -195 were changed to -180. a. It would translate up 15

b. It would translate down 15 c. It would stay the same

12. How would the y-intercept of the line change if the 12 were changed to 15. a. It would translate up 3

b. It would translate up 15 c. It would stay the same

35

Dan visits his grandmother in Alaska. On Sunday he hears on the radio that the temperature in his grandmother’s city way -2° F from 8:00 AM until 4:00 PM.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with

meaning:


Domain: Range:

What would happen to the slope if the temperature was -7° F throughout the day?

A beetle is 28 inches underground. The beetle digs straight upwards, in a vertical line, at a constant rate until it reaches the surface.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with

meaning:


Domain: Range:

What would happen to the x-intercept if the slope was changed to 3?

The popcorn kernels weigh 30 ounces. Betsy pours the kernels into her popcorn maker at a constant rate.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with

meaning:


Domain: Range:

What would change about the graph if the slope was -3?

Dawn buys plastic beads in bulk. The beads sell for $3 a pound, including sales tax.

x-intercept with

meaning:

y-intercept with

meaning:

Slope with

meaning:


Domain: Range:

What would change about the graph if there was a shipping fee of $5?

36

Finding Intercepts with Meaning Name:

Equation A bird is 32 meters from its next. It flies further away at a rate of 1 meter per second.

x-intercept with meaning

y-intercept with meaning

Slope with meaning

Reasonable Domain: Reasonable Range:

Equation A beetle is 28 inches underground. The beetle digs straight upwards, in a vertical line, at a constant rate of 4 inches per minute until it reaches the surface.



Slope with meaning


Equation Andrew sells electronics. He earns 14% commission on his daily sales.



Slope with meaning


37

Equation Irma has a 12-gallon bucket. She fills the bucket with 9 gallons of water. The bucket has a crack. The graph shows the remaining amount of water with respect to time.



Slope with meaning


Equation Dan visits his grandmother in Alaska. On Sunday he hears on the radio that the temperature in his grandmother’s city way -2 degrees F from 8:00 AM until 3:00 PM.



Slope with meaning


You spent $500 setting up a jewelry business and charge $20 per necklace.

Define Variables: x = y = Equation:



Slope with meaning


A hot air balloon is at 200 feet and is descending at 5 feet per minute.

Define Variables: x = y = Equation:



Slope with meaning


38

Changes to M and B

Identify the correct answer choice.

1. The graph of y = x + 1 is shown. Which point will lie on the graph if the slope of the line is

doubled and the y-intercept stays the same?

A. (-2, -2) B. (0, 2) C. (1, 2) D. (2, 5)

2. Suppose the y-intercept of y = 2x – 3 doubles but the slope remains the same. Which point will

lie on the graph of the new line?

A. (1, 1) B. (2, 2) C. (1, -2) D. (2, -2)

3. The graph of y = 5

12x

5

4−− is shown. Which point will lie on the graph if the slope of the line is

tripled and the y-intercept is increased by 1?

A. (-2, 5

33 ) B. (0,

5

13− ) C. (1, 3) D. (2, -4)

4. Which line has the steepest slope?

A. y = 3x + 5 B. y = x – 8

C. y = -x + 10 D. y = -6x – 4

Name Date

39

5. What happens to the graph of y = -3x + 2 when the y-intercept is decreased by 2?

A. The new line is half as steep.

B. The graph rises from left to right.

C. The graph is 2 units higher for each value of x.

D. The graph passes through the origin.

6. What happens to the graph of y = x – 3 when the slope is divided by 2?

A. The new line is half as steep.

B. The new line is twice as steep.

C. The graph is 2 units higher for each value of x.

D. The graph is 2 units lower for each value of x.

7. The graph of a linear function is shown below. Another linear function, with a graph steeper

than the one shown, is to be added to the same grid. Which equation could represent the new

function?

A. y = 3

5x

B. y = 5

3x

C. y = 1.25x

D. y = 2.75x

40

8. How does multiplying the slope by -1 change the graph of y = -x + 1?

A. The line then rises from left to right.

B. The line then falls from left to right.

C. The y-intercept becomes -1.

D. The y-intercept is 1 unit less for every value of x.

9. The original function y = 3

2x – 7 is graphed on the same grid as the new function y =

4

3x – 7.

Which of the following statements about these graphs is true?

A. The graph of the original function is steeper than the graph of the new function.

B. The graph of the original function is parallel than the graph of the new function.

C. The graph of the new function is steeper than the graph of the original function.

D. The graph of the new function is the same as the graph of the original function.

10. How does the graph of y = 0.75x – 4 change when the y-intercept is increased by 0.25?

A. The slope becomes 1.

B. The line becomes less steep.

C. The graph is 0.25 unit higher for every value of x.

D. The graph is 0.25 unit lower for every value of x.

11. If the slope of the equation y = 4

3− x – 2 is

changed to y = 4

3x and the y-intercept remains the

same, which statement best describes this

situation?

A. The new line is perpendicular to the

original line.

B. The new line is parallel to the original line.

C. The new line and the original line have the

same graph.

D. The new line and the original line will

intersect at (0, -2).

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12. The function y = 6x – 4 is graph below. If the slope of the function is multiplied by 0.5, and the y-intercept

remains the same. Which of the following graphs best represents the new function?

A. B.

C. D.

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Algebra 1 – 2 Six Weeks · 2018-09-07 · Algebra 1 – 2nd Six Weeks Second Six Weeks October 6...

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Transcript of Algebra 1 – 2 Six Weeks · 2018-09-07 · Algebra 1 – 2nd Six Weeks Second Six Weeks October 6...