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Wednesday, April 11 th

Wednesday, April 11 th. Warm UP. Please complete Warm up. List all the prime numbers 1-20 Find GCF and LCM 78 and 24. CW Grade. Number Sense. Candy Toss. How do you x and ÷ Fractions. You have to make them IMPROPER. What is a helpful hint when you are multiplying fractoins ?. Cross

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Wednesday, April 11 th

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  1. Wednesday, April 11th Warm UP Please complete Warm up List all the prime numbers 1-20 Find GCF and LCM 78 and 24

  2. CW Grade Number Sense

  3. Candy Toss

  4. How do you x and ÷ Fractions

  5. You have to make them IMPROPER

  6. What is a helpful hint when you are multiplying fractoins?

  7. Cross Reduce

  8. What is an acronym to help us with dividing of fractions?

  9. KFC

  10. What the rule for adding and subtracting decimals

  11. “Line up your decimals, add in your zeroes, find the sum and don’t be a bum”

  12. Why couldn’t 2 x 4 x 5 Be the prime factorization of 40

  13. 4 is not PRIME

  14. Find GCF 18 and 36

  15. 18

  16. Elly can divide all her books into equal groups of 4 or equal groups of 5. What is the LEAST possible number of books Elly has?

  17. 20

  18. Algebra

  19. Part 1: Evaluating

  20. Algebraic expression • Algebraic expression – a group of numbers, symbols, and variables that express an operation or a series of operations. m + 8 r – 3 - 6r

  21. Variable • Variable – A variable is a letter or symbol that represents a number (unknown quantity). • 8 + n = 12

  22. Constant • Constant-a quantity that does not change. The number 8+ n = 12

  23. Evaluate algebraic expressions 4h-6 h=3 • Substitute given value in where variable is • Remember-once you substitute number in, the variable isn’t there anymore!

  24. Practice Helpful Hints Multiplication can be written like: X • 3 3x X(3) Division can be written like: x÷3 Evaluate when c=9 • C – 3 • c + 6.7 • 9c+10

  25. Part 2: Writing Expressions

  26. Web/phone lingo How would you write the following words shorthand? • Laugh out loud • Best friend • Talk to you later • Just kidding Can you think of anything else?

  27. This Is a part of algebra!!! It’s a shorthand way of writing things 

  28. + Operation Numerical Expression Words Algebraic Expression Words Adding 37 + 28 • 28 added to 37 • 37 plus 28 • the sum of 37 and 28 • 28 more than 37 x+ 28 • 28 added to x • x plus 28 • the sum of x and 28 • 28 more thanx

  29. subtracting  Operation Numerical Expression 90 — 12 • 12 subtracted from 90 • 90 minus 12 • the difference of 90 and 12 • 12 less than 90 • take away 12 from 90 Words Algebraic Expression k— 12 • 12 subtracted from k • 12minusk • the difference of k and 12 • take away 12 from k Words

  30. Multiplying  Operation Numerical Expression 8  48 or 8  48 or (8)(48) or 8(48)or(8)48 • 8 times 48 • 48 multiplied by 8 • the product of 8 and 48 Words Algebraic Expression 8 wor(8)(w)or8w • 8 timesw • w multiplied by 8 • the product of 8 and w • 8 groups of of w Words

  31. 327 3 n 3 Dividing  Operation 327 3 or Numerical Expression • 327 divided by 3 • the quotientof 327 and 3 Words n  3 or Algebraic Expression Words • ndivided by 3 • thequotient of n and 3

  32. WARNING “Less than” Is a tricky monster Whenever you see “less than” the first number will go second in your expression Example: 4 less than 9 9-4

  33. Write each phrase as a numerical or algebraic expression. A. 987 minus 12 987  12 B. x times 45 45 • x or 45x

  34. Lake Superior is the largest lake in North America. Let a stand for the area in square miles of Lake Superior. Lake Erie has an area of 9,910 square miles. Write an expression to show how much larger Lake Superior is than Lake Erie. To find how much larger, subtract the area of Lake Erie from the area of Lake Superior. a – 9,910 Lake Superior is a – 9,910 square miles larger than Lake Erie.

  35. Part 3: Solving Equations

  36. 3 + 2 5 An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale. =

  37. 10 + 15 27 12 + 15 27 Equations may contain variables. If a value for a variable makes an equation true, that value is a solution of the equation. s + 15 = 27 s = 12 s = 10 s = 12 is a solution because 12 + 15 = 27. s = 10 is not a solution because 10 + 15  27.

  38. Inverse operations “undo” or cancel the operations done to the variable. What is done to one side is ALWAYS done to the other x + 3 = 12 -3 -3 X= 9 • SHOW ALL WORK • Draw a line to separate left to right.

  39. The Goal of Algebra Get variable all by itself by using inverse operations. X= X + 4= 21

  40. Steps Remember: • Circle your variable • Draw your balance bar • Show inverses of each side

  41. Happy Couple #1 Inverse operations: Addition and Subtraction When you see addition= you subtract When you see subtraction= you add - +

  42. X + 4 = 21 X + 4 = 21 -4 -4 X = 17 • 4 is being added to x • we do the inverse operation, which is to subtract 4 • We subtract from both sides

  43. What did Lady Gage do wrong? 5 + w = .349 -5 -5 w=.349 - 5 =.344

  44. 23.98 is being subtracted from x • We do the inverse operation, which is to ADD 23.98 • We add to both sides X - 23.98 = 57.4 +23.98 + 23.98 x = 81.38

  45. SOLVE Answer:

  46. DON’T FORGET YOUR DECIMAL & FRACTION RULES!

  47. What did Usher do wrong? h-5 = 34 -5 -5 h=29

  48. Happy Couple #2 Inverse operations: Multiplication and division x ÷ When you see multiplication= you divide When you see Division= you multiply

  49. Remember! The algebra people were weird…..they don’t write the multiplication symbol! 8x = 8 •x

  50. 1.1 is being multiplied by x • We do the inverse operation, which is to divide by 1.1 • We divide both sides 1.1x=1.21 ÷1.1 ÷1.1 X = 1.1

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