Beautiful Number Systems!

Not so bad irrational numbers and weird rational numbers

Objective

Determine if a square root is rational or irrational
Convert fractions to decimals
Convert repeating decimals to fractions

Agenda

Notes
POW Quiz

Notes

Homework

Finish Study Guide

Extras

A video about turning repeating decimals to fractions

The Real Number System- At Warp Speed!

Test FRIDAY

We are hitting the integer rules and fraction rules again. This should be just a quick review but some kids are really struggling. I am trying to find better materials to help everyone remember. If you have something, please comment with it so we can be successful! I am printing some things for tomorrow.
Here is what I have:
New Integer Flowchart (much friendlier looking) PDF
Integer "Cootie Catcher"
Fraction Flow Chart (not very friendly but very detailed) PDF
Another Fraction Flow Chart (one page!)

Objective

Classify numbers in the real number system and perform operations with rational numbers.
Agenda

Bellwork
Go over POW Turn in POW
Review Fraction Rules
Get Study Guide
Discuss the Real Number system

Classwork

Homework

#1-6 On study guide

Decorate your pamplet (Pics on blog tomorrow!)

Test FAQ/POW

Objective

Complete a test about multiple representations

FAQ

What do I do with the minus/negative on number 3?

Treat the absolute value bars like you would parenthesis in the order of operations. Sometimes you see the order of operations called GEMDAS instead of PEMDAS to make that easier. The G is for grouping symbols. You solve the inside, then take the absolute value of that, then make it negative. The answer to the above problem is -2 . Highlight to see the answer

How do I do the bonus?

The bonus is asking for the domain of the part of the graph that is increasing and the domain for the part that is decreasing. 

POW

There is a typo on the homework side. Mark out the word "drove" on the second line. If you find any others, let me know!

This is from the side we do in class, not the one that is homework. (The side we do as homework is the one with the signature line.)  Remember to write on the grid if you don't need the space. All Benchmark OR's will have that grid so we need to get used to it. 

1.

Mileage day 1: 50mph(5hours)=250 miles

Mileage day 2: 60mph(5hours)=300 miles

Mileage day 3: 70mph(5hours)=350 miles

Total: 900 miles

2.  

If d=rt  then r=d/t so

900 miles/15 hours= 60 miles per hour

OR

Since he traveled the same hours per day we can add the speeds and divide by 3. 

50+60+70= 180

180/3= 60 mph

Review

Objective

Review chapter 4

Agenda

Turn in Test Corrections
Go over study guide

Study Guide

Piece-wise functions pt 1

Objective

Develop the graph of a piece-wise function

Agenda

Bellwork

Classwork

Bellwork

Classwork

Recording attempt 1

In 4th, we found a microphone and decided to try recording the lesson. It is rough but they asked that I post it.

Converting Equations to Standard Form

Objective

Express Functions in multiple ways

Agenda

Bellwork
Check Homework
Classwork

Bellwork

Classwork

Standard Form

If you are doing make-up work, it is very important that you do Friday's work before today's! We use information from that problem.

Objective

Use Standard Form of an Equation to represent a situation

Agenda

Finish 4.2

Notes

Homework

Finish 4.2 Problem 3 (Read these carefully!)

Standard Form of an Equation

Objective

Represent functions in standard form

Agenda

4.2 Problem 1
POW Quiz
Homework Quiz

Notes

Multiple Representations

Objective

Represent functions in multiple ways

Agenda

Turn in POW
Do Problem 1

Classwork

Homework

Problem 2. Remember: Round to the nearest 100th.

Tables to Graphs

Objective

Represent Functions in Multiple Ways

Bellwork

Start POW

Classwork

In this problem, we used the definition of the y-intercept to find b rather than having to plug numbers in. We were given that the graph goes through (0,0). Since the y-intercept is the point where x is zero, our y-intercept was 0.

Students did their own problem after each step of mine.

Practice Test Answers

Running into some problems posting this. Try clicking here and downloading the folder. It should let you open the practice test as a website.  Let me know if it's not working and I will try something else.

Review

TEST TOMORROW

Objective

Find slope, y-intercept, graph using slope and y-intercept, and write equations using slope and y-intercept.

Review FAQ

How do you find the rate of change when they don't give you points?

A line is made up of infinite points so they really did give you points, you just have to look harder. Find a place where the line and 2 grid lines intersect and put a dot there- that is a point you can use.

How can I find the unit rate for a rate of change like 3/4?

You do this the same way we found unit rate for anything, divide the numerator and denominator by the denominator. You will end up with 0.75/1.

What's the deal with #4-9 on the practice test?

You need to identify the slope on those. The instructions printed weird.
Your goal is to find the slope. The easiest way would be to get the problem in Slope-intercept form or y=mx+b. You do this by solving them for y or, in other words, getting y all alone on one side of the equal sign. Once your problem looks like y=mx+b but with numbers for m and b, the number in m's place is the slope.

Graphing using slope-intercept form (1-3)

Agenda

Homework Quiz
Notes
Practice

Homework Quiz

Notes

Writing Equations (4-7)

Objective

Write an equation when given 2 points.

Agenda

Homework Quiz

Review

Notes on one new thing

Practice

Homework Quiz

Copy the answers from the homework.

Notes

The number on the other problems are a little less than friendly so we did others after this. If you want more (or need) practice then try the rest of these. 

Homework

Have a great weekend and eat ALL your Halloween candy ASAP.