Scribe, Friday 10/12

Hi guys! Sirus here with the lesson from today.

OK. First point. The main point of today's lesson was to solidify our knowledge of the four main algebraic properties, the multiplication, division, addition, and the subtraction properties of equality.

The properties are stated thusly:
Multiplicative: If a = c, then ac = bc.
Division: If a = c, then a/c = b/c.
Addition: If a = c, then a+c = b+c.
Subtraction: If a = c, then a-c = b-c.

We also explored how writing about math helps you to understand it. These were the problems that we had to write about.

1) Explain how to undo multiplication in algebra.

2) What does x/2 signify?

3) Explain how solve for x and how to check x/3 = 4.

4) Come up with three algebraic equations for each property. You must use at least one negative number for each property, not for each equation.

5) You have two choices for this one.

1: If you aren't too familiar with the properties yet, try to solve the equations you created in number 4.
2: If you are familiar, write a word problem for each property.

Some of the problems that we came up with follow. Try them! (Be sure to define your variables)

1. There were a certain number of bees in the hive, until 3 left. After the 3 left, only 7 remained. How many bees were in the hive before the 3 left?

2. Bob had 144 skateboards. Now he only has one quarter as many as he did before. How many skateboards does he have now?

3. Mark had a certain amount of money. As he was walking to the store, a mysteriously heavy bag of money fell on his head, knocking him out and nearly concussing him. When he came to, somehow there was only $4 in the bag. If he now has $14, how much did he have before the bag fell on his head?

There is no homework. Since only 3 other people have at the moment accepted the invite, I nominate Marco to be the next Scribe.

Scribe Post Instructions

You will be responsible for posting a summary of the day's lesson. Your post must appear on the blog by 8:00 pm on the day that you are the scribe.

Scribe Post Requirements:

1. Title the post as a scribe post with the day's date.
   
2. Briefly explain the major concepts or skills.
3. Provide copies of the problems & their solutions.
4. Highlight any important issues associated with the problems. (These might include key steps, likely errors, connections to previous material, tips for understanding or memorizing, etc.)
5. List new homework assignments, and provide reminders for any upcoming assignments, quizzes, or class schedule changes.
6. Pick the next scribe(s).

Tips for success:

• COME TO CLASS EVERYDAY!
• Check the blog the night before to see if you are the next scribe.
• Read and practice the night before you are the scribe. Make sure that you understand and have practiced the most recent skills that we have learned.

Thursday's Class 10/11/07

Today we just practiced solving equations that had multiplication and division.

Remember: Use Inverse Operations!!!!!!!!!!

When an equation has addition or subtraction AND multiplication or division, take care of the addition/subtraction first.

HW: READ pgs. 115 - 117, pg. 117 # 1 - 3 All, 17 - 37 odd, 45


Practice, practice, practice!

See you tomorrow.

Wednesday 10/10/07

Howdy Bloggers!!

Today we took a super easy quiz and then practiced solving equations that involved multiplication and division.

The trick was to use two new properties:

• MPE - The Multiplication Property of Equality
• DPE - The Division Property of Equality

Try these two:

1. -3x = 12
2. -x/4 = -20

If you think you can solve them, add your solution as a comment to this post. (Click below where it says "comments")

Feel free to start your own post. Just be sure to keep it to math, keep it positive, and stay respectful to each other. If you need help; you can ask for it on the blog.

HW: Finish the practice Sheet


See you tomorrow :)

10/5, 10/8, 10/9

Friday's class:

• We practiced simplifying expressions.
• When adding or subtracting negative integers be sure to choose a technique: absolute value rules, number lines, or using additive inverses. If you take the time to work it out, you do not need to guess.

Monday's class:

• We started solving simple equation using pieces of paper to represent variables and numbers. By adding and removing papers from both sides of the equal sign we were able to isolate x (solve the equation).
• See pgs. 108 - 109 for examples

Tuesday's Class:

• We compared solving equations by moving pieces of paper with solving equations using just symbols.
• KEY IDEA: Cancel operations using their inverses (addition cancels subtraction, subtraction cancels addition)
• We learned the Addition Property of Equality (APE) and the Subtraction Property of Equality (SPE). We used these to justify making changes to equations.

Homework: Read 110 - 112, pg. 113 # 15 - 35 odd (this was assigned long ago)

Reminder: Quiz Tomorrow

• Operations with +/- integers
• Simplifying expressions (including distributive property)
  
• Evaluating expressions
  

10/4/07

Today: More practice with simplifying algebraic expressions.

The new trick is to use empty boxes to represent the terms. Keeping the operation signs separate from the terms should help alleviate some of the issues with negatives.

HW: Finish the problems from the practice sheet: 12-20, 28, 30, 31, 33.

Do the other problems if you want more practice.

Remember, quiz coming up on Wednesday.

Wednesday 10/3/07

Today we practiced simplifying algebraic expressions.

HW: pg. 105, # 7 - 27 odd

Check your answers in the back.

If you are having trouble, be sure to read the pages before the assignment.