Math+Week+6+(9-19+to+9-23)

Introduction Four Steps to Problem Solving

 * Understand the Problem:** Restate the problem in your own words. Use the following questions to have a better understanding of the problem.
 * Do you understand all the words? Can you explain the problem in our own words?
 * Do you know what is given? Do you know what the goal is?
 * Is there enough information to find a solution?
 * Can you think of a picture or diagram that might help you understand the problem?
 * Does the problem look familiar?


 * Devise a plan**: Determine the strategies to be used. A partial list of strategies:
 * Guess, check, and revise.
 * Set up an equation.
 * Make a picture/diagram.
 * Solve an equivalent problem.
 * Look for a pattern.
 * Use properties of numbers.
 * Make an orderly list.
 * Work backward.
 * Use symmetry.
 * Eliminate possibilities.
 * Solve a simpler problem.
 * Act it out.
 * Use a formula.
 * Consider special cases.
 * Break the problem into simpler ones.


 * Carry out the plan:** Implement the strategy or strategies you have chosen until the problem is solved or until you decide to use a different strategy. Be persistent: Give yourself a reasonable amount of time for solving the problem. If you are not successful, go back to step 2 or even step 1. Do not be afraid to start over. Often a fresh start or a new strategy will lead to success)


 * Look Back** (Check the results and interpret the solution in terms of the original problem. Explain how you know the solution is correct. Is the answer reasonable? Does it make sense?)

Introduce the Problem Solving Sheet: Card, Workmat, and Solution sections

Grade 8; #4 Explain and use the inverse and identity properties and use inverse relationships

 * 1) Review the Four Steps to Problem Solving
 * 2) Warmup: Card 2, Set C
 * 3) What did the 0 say to the 8? Nice belt
 * 4) Integers are the set of whole numbers and their opposites
 * 5) Write the integers in order from least to greatest: -5, 2, -3 / -17, 6, -8 / -9, -21, -14 / 3, -7, 0
 * 6) Additive Inverses are numbers the same distance from 0 but on opposite sides of the number line
 * 7) Find the additive inverse of each integer: -7, 13, -1, 25, 13
 * 8) Does anyone know how to simplify Absolute-Value Expressions?
 * 9) Simplify |-9| +|7|
 * 10) Work on Homework Problems

HOMEWORK: pg 4, #1-6, #10-19 ASSESSMENT: Homework Check

Grade 8; #4 Explain and use the inverse and identity properties and use inverse relationships

 * 1) Review Word Problem #1 ("Stay-U-Pay")
 * 2) Warmup: Card 3, Set C
 * 3) Review Homework
 * 4) If the signs are the same, use the absolute value (-7) + (-5) = 12
 * 5) If the signs are different, find the difference of the absolute values then use the sign of the integer with the greater absolute value (-7 + 5 = -2)
 * 6) Evaluate b + 11 for b = -6
 * 7) Work on Homework Problems

HOMEWORK: pg 5; #3-6, #10-15 ASSESSMENT: Homework Check

Grade 8; #4 Explain and use the inverse and identity properties and use inverse relationships

 * 1) Warmup: Card 4, Set C
 * 2) Review Homework
 * 3) If the signs are the same, use the absolute value (-7) + (-5) = -12
 * 4) If the signs are different, find the difference of the absolute values then use the sign of the integer with the greater absolute value (-7 + 5 = -2)
 * 5) Evaluate b + 11 for b = -6
 * 6) Work on Homework Problems

HOMEWORK: pg 5; #3-6, #10-15 ASSESSMENT: Homework Check

Grade 8; #4 Explain and use the inverse and identity properties and use inverse relationships

 * 1) Review the Four Steps to Problem Solving
 * 2) Warmup: Card 10, Set C
 * 3) Review Homework
 * 4) -7 - 7 = -7 + -7 = -14
 * 5) 2 - (-4) = 2 + 4 = 6
 * 6) -13 - (-5) = -13 + 5 = -8
 * 7) 6 - t for t = -4 / 6 - (-4) = 6 + 4 = 10
 * 8) Work on Homework Problems

HOMEWORK: pg 6, #1-6, #13-18 ASSESSMENT: Homework Check