Tech math 2 day 1 review


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  • 10-15 minutes
  • 15 min
  • 5 min
  • 5 min to review and classify
  • 10 min
  • Tech math 2 day 1 review

    1. 1. Tech Math 2 Day 1 Review
    2. 2. Tech Math 2 Mr. Kiser W arm up <ul><li>What is the next letter in the following series? O T T F F S S E </li></ul><ul><li>The letters in the alphabet fit into 3 different levels. I’ve given you some of them, you give me the rest </li></ul><ul><li>Level 1: A, E, F, H, I ,K, L, M, N </li></ul><ul><li>Level 2: B, D, G, J, P </li></ul><ul><li>Level 3: C, O </li></ul><ul><li>You have 1 second left. </li></ul>
    3. 3. What is the next letter in the following series? O T T F F S S E <ul><li>N </li></ul><ul><li>Each letter is the first letter of the integers when spelled out (One, Two, Three, Four, Five, Six, Seven, Eight… N ine) </li></ul>
    4. 4. “Letter Levels” <ul><li>Level 1: A E F H I K L M N T V W X Y Z </li></ul><ul><li>Level 2: B D G J P (Q) R (U) </li></ul><ul><li>Level 3: C O (Q) S (U) </li></ul><ul><li>Level 1: Letters contain only straight lines </li></ul><ul><li>Level 2: Letters contain straight line and curves </li></ul><ul><li>Level 3: Letters contain only curves </li></ul>
    5. 5. Course Description and Expectations <ul><li>Classroom Guidelines </li></ul><ul><li>ALL SCHOOL RULES APPLY. </li></ul><ul><li>In addition: </li></ul><ul><li>1. Be seated and working on the warm-up by the tardy bell. </li></ul><ul><li>2. Participation is required at all times. </li></ul><ul><li>3. Stay seated and quiet. If Mr. Kiser is talking, it is important. </li></ul><ul><li>4. Everything in this room is expensive. If it is not yours, do not touch it. </li></ul><ul><li>5. We are guests in this room. No food or drinks allowed. </li></ul><ul><li>Syllabus </li></ul>
    6. 6. Tech Math 2 Wiki <ul><li>What is a wiki????? </li></ul><ul><li>A wiki is a web site that lets any visitor become a participant:  you can create or edit the actual site contents without any special technical knowledge or tools. All you need is a computer with an Internet connection. A wiki is continuously “under revision.” It is a living collaboration whose purpose is the sharing of the creative process and product by many. One famous example is Wiki-pedia, an online encyclopedia with no “authors” but millions of contributors and editors. The word &quot;wiki&quot; comes from Hawaiian language, meaning &quot;quick&quot; or &quot;fast.&quot; </li></ul>
    7. 7. <ul><li>Ongoing student created “final exam study guide” </li></ul><ul><li>Vocab, examples, tricks/hints </li></ul><ul><li>Difficult/multi-step problems for you to collaborate on and solve </li></ul>
    8. 8. Review Real Numbers <ul><li>Natural/Counting Numbers – Numbers you count with </li></ul><ul><li>Whole Numbers – 0 and all counting numbers </li></ul><ul><li>Integers – Positve and negative whole numbers </li></ul><ul><li>Rational Numbers – all numbers that can be represented as a fraction </li></ul><ul><li>Irrational Numbers – Numbers that cannot be represented by a fraction </li></ul>
    9. 9. Classifying Real Numbers Give an example number for each situation and the group that the number belongs to. <ul><li>The amount of gas in your car’s gas tank in gallons after a trip to Walmart </li></ul><ul><li>The number of flies in a bowl of fruit at a picnic </li></ul><ul><li>The balance of an overdrawn bank account at Wachovia </li></ul><ul><li>The number of students in this class today </li></ul><ul><li>The number of pizzas eaten at a party </li></ul><ul><li>Your shoe size </li></ul><ul><li>The number of people living in your house </li></ul><ul><li>Your exact age right now </li></ul><ul><li>The number of days in a leap year </li></ul>
    10. 10. Comparing Real Numbers <ul><li>Number lines will help </li></ul><ul><li>Numbers are arranged in order from least to greatest with negative numbers on the left and positive numbers on the right </li></ul>
    11. 11. Symbols for Comparing Numbers <ul><li>A < B A is less than B </li></ul><ul><li>A > B A is greater than B </li></ul><ul><li>A ≥ B A is greater than or equal to B </li></ul><ul><li>A ≤ B A is less than or equal to B </li></ul><ul><li>(The small end is near the smaller number, the larger end is towards the larger number) </li></ul>
    12. 12. Review Absolute Value <ul><li>The absolute value of any number is the number of spaces it is from zero on a number line </li></ul><ul><li>|-36| = 36 negative 36 is 36 spaces from 0 </li></ul><ul><li>|15| = 15 15 is 15 spaces from zero </li></ul><ul><li>*Remember that it only applies to what is inside the brackets so… -|3| = -3 </li></ul>
    13. 13. Comparing Real Numbers Choose the correct symbol to make each statement true <ul><li>-26 ___ 26 </li></ul><ul><li>10 ___ 5 </li></ul><ul><li>-3 ___ -3 </li></ul><ul><li>2 ___ -46 </li></ul><ul><li>7 ___ -3 </li></ul><ul><li>8 ___ 16 </li></ul><ul><li>99 ___ 296 </li></ul><ul><li>6 ___ -6 </li></ul><ul><li>2011 ___ 2010 </li></ul><ul><li>405 ___ 401 </li></ul><ul><li>5 ___ |-7| </li></ul><ul><li>|98| ___ |32| </li></ul><ul><li>|-101| ___ 2 </li></ul><ul><li>|-3| ___ 7/2 </li></ul>
    14. 14. Review The Coordinate Plane <ul><li>The coordinate plane allows us to locate points in 2 dimensional space (2D). A point is represented by an ordered pair (X,Y). </li></ul><ul><li>The coordinate plane consists of two number lines, one horizontal and one vertical. The horizontal line is called the X axis. The vertical line is called the Y axis. </li></ul><ul><li>The ordered pair tells you a point’s distance from zero on each number line. </li></ul>
    15. 15. The Coordinate Plane <ul><li>The coordinate plane is divided into 4 quadrants </li></ul><ul><li>Quadrant 1 (+,+) </li></ul><ul><li>Quadrant 2 (-,+) </li></ul><ul><li>Quadrant 3 (-,-) </li></ul><ul><li>Quadrant 4 (+,-) </li></ul>
    16. 16. Coordinate Plane Practice <ul><li>Plot points an label them with the correct letter. </li></ul><ul><li>A(2,-4) </li></ul><ul><li>B(-3,7) </li></ul><ul><li>C(-3,-9) </li></ul><ul><li>D(10,5) </li></ul><ul><li>Find the order pair for points E-J </li></ul>
    17. 17. Review Real Number Operations <ul><li>Addition Rules: </li></ul><ul><ul><li>If the numbers have the same sign, add the numbers and keep the sign. </li></ul></ul><ul><ul><li>If the numbers have different signs, subtract and keep the sign of the larger number. </li></ul></ul><ul><ul><li>5+3 = 8 -10+(-20) = -30 </li></ul></ul><ul><ul><li>15+(-4) = 11 -72+12 = -60 </li></ul></ul>
    18. 18. Review Real Number Operations <ul><li>Subtraction Rule: </li></ul><ul><ul><li>Change the operation sign to addition, and change the sign of the second number. Then work the problem as an addition problem. </li></ul></ul><ul><ul><li>5-3 = 5+(-3) = 2 </li></ul></ul><ul><ul><li>19-(-4) = 19+4 = 23 </li></ul></ul><ul><ul><li>-21-(-25) = -21+25 = 4 </li></ul></ul>
    19. 19. Review Real Number Operations <ul><li>“ Add” </li></ul><ul><li>Sum </li></ul><ul><li>Plus </li></ul><ul><li>Combine </li></ul><ul><li>Put together </li></ul><ul><li>“ Subtract” </li></ul><ul><li>Difference </li></ul><ul><li>Minus </li></ul><ul><li>Take away </li></ul><ul><li>Take apart </li></ul>Words That Mean:
    20. 20. Review Real Number Operations <ul><li>8 x 9 = 72 </li></ul><ul><li>3 x 4 = 12 </li></ul><ul><li>-2 x -3 = 6 </li></ul><ul><li>-5 x -10 = 50 </li></ul><ul><li>-6 x 4 = -24 </li></ul><ul><li>13 x -3 = -39 </li></ul><ul><li>-7 x 7 = -49 </li></ul><ul><li>8 x -12 = -96 </li></ul><ul><li>Multiplication and Division Rules: </li></ul><ul><ul><li>If the signs are the same, the answer will be positive. </li></ul></ul><ul><ul><li>If the signs are different, the answer will be negative. </li></ul></ul>
    21. 21. Review Multiplication and Division <ul><li>Multiply </li></ul><ul><li>Product </li></ul><ul><li>Times </li></ul><ul><li>Each </li></ul><ul><li>Divide </li></ul><ul><li>Quotient </li></ul><ul><li>Split </li></ul><ul><li>Parts </li></ul>Words That Mean:
    22. 22. Review Exponents <ul><li>There are 2 parts to every exponent: </li></ul><ul><ul><li>Base power </li></ul></ul><ul><ul><li>The base is the number that is being multiplied </li></ul></ul><ul><ul><li>The power is how many times to multiply the base by itself </li></ul></ul><ul><ul><li>2 5 = 2x2x2x2x2 </li></ul></ul><ul><ul><li>4x2x2x2 </li></ul></ul><ul><ul><li>8x2x2 </li></ul></ul><ul><ul><li>16x2 </li></ul></ul><ul><ul><li>32 </li></ul></ul>
    23. 23. Review Exponents <ul><li>Exponents of Negative Numbers </li></ul><ul><ul><li>If the negative sign is inside parentheses, the negative number is the base </li></ul></ul><ul><ul><li>(-3) 3 = (-3)(-3)(-3) = 9(-3) = 27 </li></ul></ul><ul><ul><li>(Hint: If a negative number is raised to an even power, the answer will be positive. If the power is odd, the answer will be negative. </li></ul></ul><ul><ul><li>If the negative sign is not inside parentheses, the positive number is the base and the negative sign applies to the answer </li></ul></ul><ul><ul><li>-2 4 = -(2x2x2x2) = -(4x2x2) = -(8x2) = -16 </li></ul></ul><ul><ul><li>-(9) 2 = -(9x9) = -81 </li></ul></ul>