Wednesday, May 20, 2015

POW 8 - On Your Own

The POW is due on Friday in class. There is no rough/final drafts, just one draft. Please see me or email me if you have questions or need help. 

Here are the instructions that I handed out in class today, with the added notes. Please note the MINIMUM number of sentences for #1, 4 and 5.

Monday, May 18, 2015

Monday May 18 - HOMEWORK

** If you did not hand in the final draft of the ship POW, it is due tomorrow (Tuesday) After that you lose a point each day it is late**

Assignment: Fill in Gross Income, Rent, Food, and Utilities on the budget page I handed out in class.


  • You must find a job to know your monthly income. 
  • You have to find a job that is actually available right now (check job listing websites or company websites) and that you are qualified for (high school diploma, little/no experience).
  • If the job listing does not say what it pays, check and search for the salary. 
  • You need to write your MONTHLY pay. If the salary is listed per week you have to multiply by 4, if it is listed per year you have to divide by 12. 
  • You must find an apartment to know your monthly rent.
  • Your apartment should be reasonably close to your job. 
  • Check if the rent includes: parking, utilities, cable/internet
  • If you want to lower rent costs, you can find a 2 bedroom and assume that you can find a roommate. This allows you to only pay half the rent. 
  • You should interview an adult about cost of food and utilities. 
  •  Ask an adult how much he/she pays each month for food. Then compare your needs to theirs. How many people are they buying for? You are only buying for yourself. 
  • Ask an adult how much he/she pays for utilities (electricity, water/sewer, gas, trash) each month. Then compare your needs to theirs. Do they run air conditioning a lot? Will you? If they have 10 people living in their house, your bills will be a lot lower. 
Due: Tomorrow (Tuesday) in class

Thursday, May 14, 2015

Thursday May 14 - HOMEWORK

Assignment: #2 and #3 of the package we worked on today in class
(the first page says Homework 12, #2 and #3 are on the last 2 pages)

For each question, read the points off of the graph for a, b, and c.
Then make an in-out table using those points (be sure to put the x-axis/independent in the IN column and the y-axis/dependent in the OUT column).
Then find the rule (see example below)
Then, using that rule, add 2 more rows to the table (see example below)
Due: Tomorrow in class

^^ In the example above, I subtracted on both sides, then divided the right side by the left side. That allows us to find the rule. Then, I used this rule to make 2 more rows (in bold).  This example uses made up numbers and is NOT the answer to the homework.

**Important** the final draft of your POW (the ship one) is due on Monday**

Monday, May 11, 2015

Monday May 11 - HOMEWORK

Assignment: Worksheet on independent and dependent variables

Details: Fill in the missing independent and dependent variables in the chart. Look at the graph for #5-7. Choose which variable (number of toppings or cost of pizza) is independent and which is dependent.

Extra help: For a refresher on independent vs dependent, check out this video

Due: Tomorrow (Tuesday) in class

Tuesday, May 5, 2015

Tuesday May 5 - HOMEWORK

Assignment: POW7: Hawaii to Tahiti to Hawaii


1. Problem statement: re-word the question. "Ships leave once a week from Tahiti and Hawaii. The trip takes 42 days. We want to figure out..."

2. Process: How did you solve this? Show your work

3. Solution: What is your answer?

4. Extensions
a) Did you include the ships you saw right as you were leaving Hawaii and right as you were arriving in Tahiti? (yes or no)
b) What if the ships just started sailing today and you were on the first boat? How many ships would you pass on your way to Tahiti? (hint: You won't pass one until you're halfway there)

5. Evaluation: Did you like this problem? Why/why not? Ask a question
Do the evaluation of your own work, as described on the POW sheet.

Due: Thursday morning in class

Monday, May 4, 2015

Monday May 4 - HOMEWORK

Assignment: Homework 9: Paddle Expressions at Home

When it says to "write a summary phrase" that means to write what the expression means.
When it says to "write an algebraic expression" that means to write the expression with letters
For #8 make sure your expression is meaningful for the situation

Due: Tomorrow (Tuesday) in class

**As always, I am here at 7am if anybody needs help**

Tuesday, April 21, 2015

Tuesday April 21 - HOMEWORK

Assignment: POW 6 Hokulea Problem 
1. Problem statement: Explain the problem (that the containers were weighed 2 at a time...)
2. Process: Explain how you solved it (listing all possible combinations, guessing and testing, checking...)
3. Solution:
a) What is the weight of each container?

b) Could there possibly be other weights for the containers?
4. Extensions: 
a) If the numbers could be fractions or decimals, would your answer be different?
b) Why did we need to know the individual weights?

5. Evaluation: 
a) Did you like this POW? Why/why not?
b) Ask a question related to the topic. 

Assignment: Homework 5 Lunch Time
*remember we have 14 students in our class
1. List EVERYTHING you need to buy (including all ingredients)
2. How much of each thing will you need? 
3. Find prices online (Safeway, Target, Foodland, Times, Amazon, etc)
4. Add up the total price
5. Divide by the number of people

Both assignments are due MONDAY in class. 

Monday, April 20, 2015

Monday April 20 - HOMEWORK

Assignment: Find the numbers for the Hokulea POW

Details: Come see me (lunch, study hall or morning) if you need help

Due: Tuesday in class (rough draft of POW is dues Thursday but you need to have the numbers by Tuesday)

Friday, April 17, 2015

Friday April 17 - HOMEWORK

Assignment:  List 10 items/tools the Polynesians might need on their voyage to Hawaii. For each item, list one possible use for it.

Details: Remember, this voyage took place in the 1200's, so they did not have iPads and cell phones. They didn't even have radios or guns. These people did not have contact with other countries or places. If you're not sure if something was used back then, Google it.

Due: Monday in class

As usual feel free to come see me in the morning if you need help.

Monday, April 13, 2015

Monday April 13 - HOMEWORK

Assignment: Homework 2 (handed out in class, pictured below)


Use the constraints (rules) from the Canoe Family handout pictured below.

1. For each type of family (Explorers, Colonizers, Warriors, and Royal Travelers) figure out the smallest number of people that could be in that family and largest number of people that could be in that family. For example, the first one cannot have less than 9 people and cannot have more than 15 people, so the answer is 9-15. Each type of family will have it's own max and min.

2. Add up all four minimums for the total minimum and add up all four maximums for your total max.

3. Remember we will have FOUR Explorers, FOUR Colonizers, FOUR Warriors and FOUR Royal Travellers.

Due: Tomorrow (Tuesday) in class

**Please come see me in the morning if you need help**

Tuesday, April 7, 2015

Tuesday April 7 - HOMEWORK

Assignment: Homework 1 (see picture below)

Details: Choose a "present day" (in the last 50 years) voyage. You can write about your family moving to Hawaii or any emigration you know about.  You could write about Mexicans moving to the United States,  the Irish leaving Ireland, Japanese emigration to Hawaii, etc.  You can research on the internet, or write about something you know.


My grandfather moved to Canada from Germany, as a teenager. Since he emigrated during World War II, he had to escape the Nazis in order to get out. This is different than the Polynesian voyage because most of them were not escaping anything, they were just exploring. My grandfather left Germany with the help of British soldiers. This is also different from the Polynesian voyage because the travelers did not have any outside help. My grandfather arrived in Canada and was very happy to be there. This is similar to the Polynesians because they seemed happy to be on the new islands. My grandfather travelled by boat, just like the Polynesians did, but his boat was a large military ship so it was much bigger. One main difference between my grandfather's voyage and the voyage of the Polynesians is that my grandfather was moving to an already established country, whereas the polynesians moved to remote islands and developed them once they arrived. One main similarity is that they both travelled by boat. 

Due: Thursday morning in class

Monday, April 6, 2015

Monday April 6 - QUIZ REVIEW

We will be taking a quiz tomorrow (Tuesday) in class.

Please come with a pencil, ready to write the quiz.

This quiz will cover 3 things

1. Distributing
To distribute you have to multiply the outside number by all the inside numbers.

Example:   2x ( 3a - 4b + 5c )
              =  6ax - 8bx + 10cx

2. Factoring
To factor, you have to find a number that each part can be divided by and also take out any letter than is common to all the parts.

Example:  10ax + 25x - 15bx
              = 5x ( 2a + 5 - 3b)

3. Solving for X
To solve for X you need X's on one side and numbers on the other. Do the opposite to get rid of a number in the wrong spot. At the end, divide by the number in front of the x to find out what 1x is. Remember, whatever you do to one side (of the equation) you always have to do to the other side.

Example:  3x + 4 = 13
                       - 4     -4

                   3x     =    9

                     x     =     3

Sometimes we have to cross multiply first

     Example:     x        4
                        __  =   __
                        10        5

Multiply the diagonals (10 x 4 and X x 5)

5x  = 40

x = 8

Please email me or come see me in the morning if you are confused about anything for the quiz. 

Thursday, April 2, 2015

Thursday April 2 HOMEWORK

Assignment: Practice quiz (2 pages)


You don't have to do the "24"

For the one that says "distribute" you multiply the outside number by each part inside the parentheses.

Ex:  -10x (2a+3b-5c)
= -20ax - 30bx + 50cx
(remember that a negative times a negative is a positive)

For the ones that say "factor" you have to work backwards. Find the biggest number you can divide each part by, and any letter than can be found in all the parts. Write this on the outside of the parentheses and fill in what is left.

Ex: 30ax - 20 bx + 10x)
The biggest number we can divide by is 10 and there is an x in each part, so I take out 10x
= 10x ( 3a - 2b + 1)

Due: Monday in class


Tuesday, March 31, 2015

Tuesday March 31 - HOMEWORK

Assignment: Worksheet, solve for S

Details: For both triangles, you need to solve for S. See the photo below for how to set up the ratios. Remember, you are doing the up&down line over the bottom line, for each triangle. Please look at the following diagram if you are having trouble setting up your ratios. In each picture, the green triangle is the small one and the orange is the big one. Note the green and orange ratios on the side.

To solve the first ratio you will need to cross multiply.
15(s+25) = 25x20

Remember to multiply 15 times everything inside the parentheses.
15s + 375 = 500

Then subtract the 375 from both sides so that you have letters on one side and numbers on the other.
15s = 125

Then divide by 15 so we know what S equals
S = 8.3

Solve the 2nd triangle the same way.

Due: Thursday in class

Friday, March 20, 2015

Friday March 20 - HOMEWORK

Assignment: rough draft of POW 19 (p. 455)

1. Subject of Exploration: What are we learning about? How does this apply to what we are learning in class? (angles? shapes?) What type of real-world problem could we solve using these skills?

2. Information gathering.
Include at least 4 pool tables (2x3, 2x4, 3x4, 3x5)

3. Results. What did you find? Does the ball always end up in a pocket? Which pocket? Did you find any patterns between the number of bounces it takes on different size tables?

4. Evaluation. Did you like this experiment? Why / why not? Ask a question about this topic,

Due: After spring break

Friday, March 13, 2015

Friday March 13 - HOMEWORK

Assignment: Homework 20 p. 459


Draw rectangular pool tables that measure:
And more if you like...

Start in the bottom left corner.

Draw your lines diagonally through the squares, to make sure all lines are 45 degrees.

Count how many lines it takes to get the ball into a pocket.

Here is an example of a 2x5 table. I started in the bottom left with the blue line.  I kept going until it finally got to a corner (pocket). Each line is a different color so you can count that there are 6 different lines.
The answer for this would be: 2x5 - 6

Due: Monday in class

Thursday, March 12, 2015

Thursday March 12 - HOMEWORK

Assignment: Final Draft of POW

Details: Read my comments on your rough draft and fix anything that needs to be fixed. If you didn't have a question, make sure you include a question that is related to the topic.

Due: Tomorrow in class

**If you didn't finish your quiz in class, you can finish it for homework**

Tuesday, March 10, 2015

Tuesday March 10 - HOMEWORK

Assignment: Homework 19 - p.453

Details: Use the diagram from class (with L, S, D, and H). Figure out a way to measure a tree using shadows.

Due: Thursday in class

Friday, March 6, 2015

Friday March 6 - POW 18

Assignment: Rough Draft of POW 18 (p.438)

1. Problem Statement. Write the problem in your own words. You can find the problem at the end of the POW. ("Suppose three lengths, a, b, and c...)
2. Process: Explain what we did in class (using the pipe cleaners, listing lengths that worked and didn't work, looking for patterns)
3. Solution: Only answer the 2nd question (the problem statement). Explain in words, then use the > or < signs to make your condition.
4. Evaluation. Did you like this project? Why/why not? Think of a question about this project.

Remember! For the rough draft, you get 10/10 if you do all the parts, even if your answer is wrong. Just show me that you tried :)

Due: Monday in class

Monday, March 2, 2015

Monday March 3 - NO HOMEWORK

No homework tonight. We will try and get our work done in class this week, so you don't have to do any homework on testing week.

If you want to get started on something, you can start the POW we worked on in class (POW18)

Thursday, February 26, 2015

Thursday February 26 - REVIEW FOR QUIZ

Tomorrow's quiz will be on cross multiplying and parallel lines with transversals. 

Cross Multiplying Steps

         x + 1          2
         ____   =  ____

         12             3

- Circle the unknown (x+1)
- Multiply the diagonals (12 x 2 = 24)
- Divide by the other number (24 divided by 3 = 8)
- So if the unknown is 8, then x+1  =  8
- Which means x must be 7
x = 7

Names of Angles:



<1 and < 2 are SUPPLEMENTARY  ( add up to 180)
< 8 and < 7 are SUPPLEMENTARY ( add up to 180)

< 4 and < 3 are INTERIOR SUPPLEMENTARY ( add up to 180)
< 5 and < 6 are INTERIOR SUPPLEMENTARY ( add up to 180)



Monday, February 23, 2015

Monday February 23 - HOMEWORK

Assignment: Name all 9 angles on the last page of your homework package
 (we said 8 in class, I noticed there are actually 9)


The class notes on naming angles can be found below (in the next blog post).

Angles should be named using 3 letters, the MIDDLE letter is where the angle is at (also called the vertex)

Tip: You can number your angles and then name them. 

For example, Angle 2 is <ACB (<BCA is also correct)

Hint: Some of them have more than one correct answer. Angle #3 could be called <ACD or <ACE  (or  either of those backwards... <DCA or <ECA)

Due: Tomorrow (Tuesday) in class

**I will be here by 7:15am if anybody wants to come see me. You can also email me any time**

Monday February 23 - CLASS NOTES

Here are the notes from today on NAMING ANGLES

Friday February 20 - CLASS NOTES

Here are the class notes from Friday's lesson on triangles.

Saturday, February 14, 2015

Thursday February 12 HOMEWORK

Assignment: Homework 12 (p.433-434)

Details (including sentence starters!)
If you're not sure how to do the homework from the book, use my version of the questions. The questions are in bold and sentence starters are in italics. When there is a choice (like/this) you have to pick one.

1. Why must the two other angles of a right triangle be acute (less than 90 degrees)?
A triangle has a total of 180 degrees, so if one angle is 90...

2. Why do you think right triangles are considered important?
Right triangles are important because we use them in every day life.... (give example of something in real life that has a right angle)

3. What statements can you make about how the lengths of the sides of a right triangle compare to each other?
Draw a right triangle. How do the legs compare to the hypotenuse?
The legs of a right triangle are (longer/shorter) than the hypotenuse. If you combine the two legs, that length is (longer/shorter) than the hypotenuse. (If you notice anything else, please include it)

4. Draw a right triangle. Measure the legs and then draw one with legs twice as long. 
a) how does the hypotenuse compare?
The hypotenuse of the second triangle is (longer/shorter) than the hypotenuse of the first. (How much longer/shorter?)

b) How do the acute angles of the 2 triangles compare?
The two acute angles in the first triangle measure ___ and ___, the acute angles in the larger triangle measure ___ and ____. 

c) What do the answers from 4a and 4b tell you about the two triangles?
The side lengths of the two triangles are __________ and the angles are ___________

5. Draw a right triangle with acute angles of different sizes (use: 90 degrees, 30 degrees, 60 degrees)

Which leg is longer, the one opposite (across from) the bigger angle or the one adjacent (next to) the bigger angle?
The longer leg is the one that is  (opposite/adjacent) from the 60 degree angle. 

6. Is it possible for a right triangle to be isosceles? Equilateral? 
A right triangle (can/cannot) be isosceles because two of it's sides (can/cannot) be the same length.
A right triangle (can/cannot) be equilateral because all of it's sides (can/cannot) be the same length. 

Due: Tuesday in class
Reminder! Your final draft of the POW is also do in class on Tuesday

Monday, February 9, 2015

Monday February 9 HOMEWORK

Assignment: Homework 10 (p.426-427)

Details: make ratios to solve for the missing numbers (be sure to label your ratios either big/small or small/big)

Due: Tomorrow in class

Friday, February 6, 2015

Friday February 6 POW homework

Assignment: POW 17 (p.420-p.421)


1. Problem Statement: Re-write the problem (italics on bottom of p.420) in your own words. Make sure to add that we are working with circles and looking for patterns.

2. Process
a) What did we do?
b) Include at least one page of circle drawings (if you lost yours from class, make more)

3. Solution
a) Include your In-Out Table from Tuesday night's homework (if you lost it, make a new one). Make sure to go all the way up to 10 cuts.
b) Explain the pattern you found in the In-Out Table
c) How many pieces can you get from 10 cuts?
d) How did you figure out c?

4. Evaluation: Did you like the project? What did you learn from it? Ask at least one question about this project.

Due: ROUGH DRAFT is due Monday February 6 in class.

Grading: You get 10/10 for the rough draft if you answer all the parts, even if the answers are wrong. If you do it all and forget it at home, you get 0/10

Thursday, February 5, 2015

Thursday February 5 HOMEWORK

Assignment: p. 423 in your textbook. Find a counter-example for each of the 3 statements (if possible)

Details:  For each of these statements, you need to try and draw an example that proves it wrong.

Statement 1 - If two triangles have their corresponding angles equal, then the triangles are similar. 
** Try to draw 2 triangles with the same angles as each other, that are NOT the same shape**

Statement 2 - If two triangles are both isosceles, then the triangles are similar. 
** Try to draw 2 isosceles triangles (isosceles means 2 sides are the same length) that are NOT the same shape**

Statement 3 - If two triangles have their corresponding sides proportional, then the triangles are similar. 
**Try to draw 2 triangles with proportional (or same length) sides, that are NOT the same shape**

Hint: you will only be able to get a counter-example for Statement 2, but draw examples for the other statements too.

Due: Tomorrow (Friday) in class

Tuesday, February 3, 2015

February 3 HOMEWORK

Assignment: Copy this IN-OUT table, look for a pattern and fill in the missing numbers

Hint: Look at how much you are adding to each number in the OUT column.
You start with 2 then you  +2 to get 4. Then you +3 to get 7. Then what? How much do you add to 7 to get 11? Look for a pattern and keep going...

Due: Thursday February 5 in class

Monday, February 2, 2015

Monday February 2 HOMEWORK

Assignment: Draw a triangle that is similar to triangle ABC that I gave you.  Name the new triangle using any 3 letters.

Instructions: Measure the angles and side lengths of triangle ABC. Draw a new triangle that is either bigger or smaller, but similar. That means do not change any angles, and multiply or divide all the side lengths by the same number.  

If you want to make your new triangle bigger, multiply all the side lengths by the same number. If you want the new triangle to be smaller, divide all the side lengths by the same number. 

When you are done, label your new triangle. 

Due: Tomorrow (Tuesday) in class. 

Please email me or come see me if you need help.

The class notes from today are in the next post. 

Thursday, January 29, 2015

Thursday Jan 29 - HOMEWORK

Assignment: p. 419 in the textbook

Hints: Draw out the original triangle (with side lengths 2, 3, and 4) then draw 3 more triangles. One will have a bottom side = 6, one will have the left side = 6 and the last triangle will have the right side = 6. For each of the 3 triangles, use ratios to figure out the lengths of the other sides.

Due: Tomorrow in class (Friday Jan 30)

**If you need help, you can email me or come in to see me before homeroom.

Thursday January 29 - CLASS NOTES

Here are the class notes from today's class. The homework will be in a separate post.