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Week 3: Warm – ups

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

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Week 3: Warm – ups

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  1. Week 3: Warm – ups CCGPS Coordinate Algebra

  2. 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 Math Starters 5-29, page 197

  3. 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:

  4. Answer key:

  5. 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

  6. 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.

  7. 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.

  8. 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.

  9. 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.

  10. Warm – up 8/30/2012

  11. August 30, 2012 • 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?

  12. August 30, 2012 • 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?

  13. August 30, 2012 • 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?

  14. August 30, 2012 • 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?

  15. August 30, 2012 • 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.

  16. August 30, 2012 • 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?

  17. August 30, 2012 • Opening Word Problem Example: • HF = Hot Fries • S = Snickers • F = Fanta

  18. August 30, 2012 • 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?

  19. August 30, 2012 • 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?

  20. August 30, 2012 • 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?

  21. August 30, 2012 • Opening Word Problem Example: • White Board Explanation • No, she cannot buy all the snacks!

  22. August 30, 2012 • 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?

  23. August 30, 2012 • Opening Word Problem Strategies • Check your work – does your answer make sense? • How can I tell? What are the units?

  24. August 30, 2012 • Work Period • Part 1: The Yo-Yo Problem Expectations: *Math-accountable talk *Working in your groups *Seated and engaged *Raise your hand for help

  25. August 30, 2012 • 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.*

  26. Warm – up 8/31/2012

  27. 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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