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Week 3: Warm – ups . CCGPS Coordinate Algebra. Warm-up 8/27/2012: Adding and Subtracting Integers.

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### Week 3: Warm – ups

CCGPS Coordinate Algebra

Warm-up 8/27/2012: Adding and Subtracting Integers

- Sometimes mathematicians are not interested in actual numbers, but simply whether or not a number is positive. A good example is the stockholder who is a concerned only with whether the value of his or her stocks go up.
- Problem: Describe each situation below as positive, negative, zero or cannot be determined.
- The sum of two positive integers.
- The difference of two positive numbers
- The sum of a number and its opposite
- The sum of a negative number and zero
- The difference of two negative numbers

- Problem: Describe each situation below as positive, negative, zero or cannot be determined.

Math Starters 5-29, page 197

Key Words in inequalities word problems

Is not greater than

Is more than

below

Minimum

Not more than

Is smaller than

Above

Is less than

At least

At most

Is greater than

Is not less than

Maximum

Is larger than

Not smaller than

- List below are key words or phrases that are often found in inequality word problems. Match the key words or phrase with the appropriate inequality symbol. , , , or .
- Then make a foldable using the key words and symbols:

Warm – up 8/28/2012:Solving Two-Step Equations

- Two – step equations are equations that must be solved by using two transformations. If each side of an equation is in simplest form, then the following steps should be followed:
- Add or subtract the same number to each side of the equation.
- Multiply or divide each side of the equation by the same non-zero number.
Problem: Of the four problems listed below, which have the same solution?

- 3a+ 4 = -2
- 2a+14 = 0
- 11 = 7 – 2a
- -3a+18 = 39

Math Starters 5-50, page 205

Warm – up 8/29/2012: The Muddiest point

- On a post-it, students will individually identify their muddiest point (any standard or concept he or she did not understand) of the Cara’s Candles and The Yo-Yo Problem.

Group Assessment 1st BlockStudents will participate in a group assessment. (Please see below for groups)Rules: 1. You may only talk to your group members to complete the assessment.2. All members names must be on the assessment in order to receive credit.3. The test will be timed. (Please work SMART not HARD).4. Each group will submit 1 test.5. If caught cheating the test will be omitted for the entire group. That means you will receive a ZERO!6. All members must participate.

Group Assessment 3rd BlockStudents will participate in a group assessment. (Please see below for groups)Rules: 1. You may only talk to your group members to complete the assessment.2. All members names must be on the assessment in order to receive credit.3. The test will be timed. (Please work SMART not HARD).4. Each group will submit 1 test.5. If caught cheating the test will be omitted for the entire group. That means you will receive a ZERO!6. All members must participate.

Group Assessment 4th BlockStudents will participate in a group assessment. (Please see below for groups)Rules: 1. You may only talk to your group members to complete the assessment.2. All members names must be on the assessment in order to receive credit.3. The test will be timed. (Please work SMART not HARD).4. Each group will submit 1 test.5. If caught cheating the test will be omitted for the entire group. That means you will receive a ZERO!6. All members must participate.

- Opening

Word Problem Example:

- Mya wants to buy Hot Fries, a Snickers bar, and a Fanta at the store. After school, she goes home to get money, but she realizes her little brother took her $20 bill and left her only $5. Mya angrily walks to the store and checks the prices of the snacks. The Hot Fries cost $1.95; the Snickers costs $2.50; and the Fanta costs $1.50. When she gets to the register, the cashier tells her the Hot Fries are on promotion for 50% off before tax, and the tax is 7%. Can Mya buy all of these snacks?

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Example:

- Mya wants to buy Hot Fries, a Snickers bar, and a Fanta at the store. After school, she goes home to get money, but she realizes her little brother took her $20 bill and left her only $5. Mya angrily walks to the store and checks the prices of the snacks. The Hot Fries cost $1.95; the Snickers costs $2.50; and the Fanta costs $1.50. When she gets to the register, the cashier tells her the Hot Fries are on promotion for 50% off before tax, and the tax is 7%. Can Mya buy all of these snacks?

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Example:

- Left $5
- Hot Fries $1.95; Snickers $2.50; Fanta $1.50
- Hot Fries are 50% off before tax, and the tax is 7%. Can Mya buy all of these snacks? Create an inequality to represent this situation.

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Example:

- Left $5
- HF = $1.95; S = $2.50; F = $1.50
- Hot Fries are 50% off before tax, and the tax is 7%. Can Mya buy all of these snacks?

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Example:

- White Board Explanation
- No, she cannot buy all the snacks!

- Opening

Word Problem Strategies

- Cross out information that not relevant
- Extract import given numbers
- Assign variables
- Circle key words
- Restate the question in your own words
- Solve
- Check your work – does your answer make sense?

- Opening

Word Problem Strategies

- Check your work – does your answer make sense?
- How can I tell? What are the units?

- Work Period

- Part 1: The Yo-Yo Problem

Expectations:

*Math-accountable talk

*Working in your groups

*Seated and engaged

*Raise your hand for help

- Closing

- Part 1: The Yo-Yo Problem
- Reflection/Discussion:
- Give an example of a time when the answer would not make sense in this problem. How can you check your equation?

- Homework: Create 2 word problems and solve them. Show all your work.*Don’t reuse my example with new numbers.*

Solving Two-Step Equations

- Creating algebra problems is sometimes more difficult than solving them.
- Problem: Write a two-step equation whose solution is x = -6. Then write an explanation of how you created the problem.

Math Starters 5-51, page 205

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