- Monday, September 18, 2017 (28)
- Work/answer questions on p 132 1-12
- Tuesday, September 19, 2017 (29)
- Topic - Solving systems of equations- three variables [9.9]
- Look at p 444 and graphs/intersections in three dimensions
- Here is an example of using the linear combination (dropout) method to solve a system with three equations & three variables.
- Here is an example of using the substitution method to solve a system with three equations & three variables.
- Assign p 447 1-12 (1st & 2nd columns) for Wednesday
- Wednesday, September 20, 2017 (30)
- ISTEP Review -
- Thursday, September 21, 2017 (31)
- ISTEP Review 3.1
- Go over p 447 1-12 (1st & 2nd columns)
- Topic - Linear Inequalities- Two Variables (Day 1) [3.7]
- This is a review of graphing linear inequalities
- Here is an example of graphing systems of inequalities
- Assign p 138 2-22 even (skip 6, 12, & 18) for Friday (You will need graph paper & colored pencils)
- Friday, September 22, 2017 (32)
- ISTEP Review 3.2
- Go over p 138 2-22 even (skip 6, 12, & 18)
- Topic - Linear Inequalities- Two Variables (Day 2) [3.7]
- Use online GeoGebra classic graphing
to see how we can
outline home plate by using systems of inequalities

(You can also download GeoGebra from Filewave on your MacBook) - Assign p 139 23-31 odd, 33-35 all for Monday (You will need graph paper)

- Monday, September 11, 2017 (23)
- Quiz 3.1-3.4

Graphing ordered pairs & linear equations;

slope; equations of lines - Tuesday, September 12, 2017 (24)
- ISTEP Review 2.1
- Use online GeoGebra classic graphing or download GeoGebra on your MacBook from Filewave
- How to find intersection of two lines w/GeoGebra
- Find the Input Bar at the top left of the screen (
- Type the first equation into the Input Bar and press RETURN
- Repeat for the second equation
- Look at the list of objects on the left side to see the letters
assigned to your two equations (they are probably
**f**and**g**) - Type the following into the Input Bar:
**Intersect[f,g]**(no spaces between characters- use letters that match your line names if they aren't**f**and**g**) and press RETURN - You have found the intersection of the two lines!

- Topic - Solving systems of equations- Graphing Method [3.5]
- Graphing Method:
- If lines intersect → the point of intersection (
*x*,*y*) is the ordered pair solution - If lines are parallel → "no solution"
- If lines are concurrent (the same line) → "infinitely many solutions"

- If lines intersect → the point of intersection (
- Assign Worksheet 3.5A - Systems of Equations #1-5 for Tuesday (here are the answers). Practice using GeoGebra to answer p 129 7-10 all. (Here is some graph paper)
- Wednesday, September 13, 2017 (25)
- ISTEP Review 2.2
- Go over Worksheet 3.5A - Systems of Equations #1-5 & p 129 7-10 (using GeoGebra)
- Topic - Solving systems of equations- Substitution method [3.5]
- Substitution Method:
- Good strategy if the coefficient of one of the variables is 1 or -1 (this makes it easy to get that variable by itself)
- May not be a fun way to solve if none of the coefficients is 1 or -1

- Assign Worksheet 3.5A - Systems of Equations #6-10 (here are the answers) and p 129 22-26 for Wednesday
- For #23-26, rearrange equations into
*Ax*+*By*=*C* - Thursday, September 14, 2017 (26)
- Go over Worksheet 3.5A - Systems of Equations #6-10 & p 129 22-26
- Topic - Solving systems of equations- Linear Combination Methods [3.5]
- Linear Combination (Subtraction/Dropout) Method:
- Need to get opposite coefficients for the same variable

(5*x*and -5*x*, for example) - When you combine (add) the two equations, that variable will drop out!
- Assign Worksheet 3.5A - Systems of Equations #11-15 (here are the answers) and p 129 27-28, 33-36 for Thursday
- For #27-28, rearrange equations into
*Ax*+*By*=*C* - For #33-36, here is an example of substituting for the fraction variables
- Friday, September 15, 2017 (27)
- ISTEP Review 2.3
- Go over Worksheet 3.5A - Systems of Equations #11-15 & p 129 27-28, 33-36
- Topic - Solving systems of equations- two equations & two variables- word problems [3.6]
- These two word problem examples show how to solve a money problem and a headwind/tailwind problem.
- Assign p 132 1-12 for Friday

- TIP for #2 → How many people show up for every single ticket? But how many people show up for every couple ticket?
- TIP for #7-8 → Express the time in hours, so 1 hr 15 minutes is 5/4 hrs

- Monday, September 25, 2017 (33)
- Topic - Review for Quiz 3.5-3.7
- Go over p 139 23-31 odd, 33-35 all
- You can check out Practice Quiz 3.5-3.7 (and the answers)
- BONUS opportunity- Quiz- 3.5-3.7 does not have a bonus question. This activity is a BONUS opportunity for the quiz. It is due by Monday, October 9. If more than one student submits the same response (this activity has an infinite number of possibilities), the points will be split among the students with the same responses.
- Tuesday, September 26, 2017 (34)
- Quiz 3.5-3.7

Solving systems of equations: graphing, substitution, & linear combination; linear inequalities w/two variables - Wednesday, September 27, 2017 (35)
- Topic - Functions - Day One [3.8]
- Domain →
*x*values (inputs)

Range →*y*values (outputs) - When we list a domain or range:
- Write from low to high

{-4, -1, 0, 5} is OK; {-1, 5, -4, 0} is NOT - Write a value no more than once

{-3, 2, 5} is OK; {-3, 2, 2, 2, 5} is NOT

- Write from low to high
- What needs to be excluded from domains?

*x*-values that make denominators = 0*x*-values that make square roots of negative #s

- If f(
*x*) = 5*x*+ 8, then

f(3) = 5(3) + 8

f(3) = 23 - What do we do with
*f*(*g*(*x*))? Here is an example of composite functions - you will see these on #36-40 on tomorrow's assignment - Thursday, September 28, 2017 (36)
- Return Quiz 3.5-3.7 and work on quiz corrections
- Topic - Functions - Day Two [3.8]
- What do we do with
*f*(*g*(*x*))? Here is an example of composite functions - you will see these on #36-40 on today's assignment - Assign p 143 Oral Exercises 2, 4, 12, 14, 16; p 144 Written Exercises 3-11 odd, 30-42 even for Thursday
- Friday, September 29, 2017 (37)
- Go over p 143 Oral Exercises 2, 4, 12, 14, 16; p 144 Written Exercises 3-11 odd, 30-42 even
- Topic - Linear Functions (Day 1) [3.9]
- Linear functions look like f(
*x*) =**m***x*+**b**

**m**is the slope

**b**is the y-intercept [which is f(0)] - When creating linear functions, we usually
- Find
**m** - Find
**b** - Write the function as f(
*x*) =**m***x*+**b**

- Find
- Here are examples of creating linear functions
- Assign p 149 1-29 odd for Monday

The
Mathway iPad app

may help you check the work to any math problem

The Slader iPad app
has answers to all problems from the textbook and some access to user-contributed work

Here is a link to the
MathGraph iPad app.

Factoring polynomials? Check out
this chart!

The GeoGebra
app has arrived!

Tuesday, September 26

Quiz 3.5-3.7

Solving systems of equations: graphing, substitution, & linear combination; linear inequalities w/two variables

Practice quiz
and answers

Phone:

260.356.6104 x1121

E-mail:

(combine Parts 1 and 2 with the "@" symbol)

Part 1: sbower

Part 2: hccsc.k12.in.us