1 / 79

6 th Grade Review

6 th Grade Review. Racing Review. Race!. Whole Number Operations. Addition. 1 . 4137 + 739. 2 . 567 +139. 3 . 5602 +8835. 4 . 65391 + 87. 5 . 941372 + 128343. Solutions:. 4,876 706 14,437 65,478 1,069,715. Whole Number Operations. Subtraction. Right or Wrong?.

camden-marsh
Télécharger la présentation

6 th Grade Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 6th Grade Review

  2. Racing Review

  3. Race! Whole Number Operations Addition 1. 4137 + 739 2. 567 +139 3. 5602 +8835 4. 65391 + 87 5. 941372 + 128343

  4. Solutions: • 4,876 • 706 • 14,437 • 65,478 • 1,069,715

  5. Whole Number Operations Subtraction Right or Wrong? Can you find the mistake? • 345 • - 278 • 57 2. 9864 - 671 9193 3. 149856 - 51743 97113 • 4. 7548362 • 969457 • 6678905

  6. Whole Number Operations Multiplication Learning Partners • Create 3 multiplication problems (do not use more than 3 digits) • Switch with a neighbor • Check your partner’s work

  7. Whole Number Operations Division RACE! • 9954 ÷ 63 • 87 ÷ 3 • 48026 ÷ 37 • 73080 ÷ 20 • 850 ÷ 5 6. 210 ÷ 7 7. 54 ÷ 6 8. 2571 ÷ 3 9. 2992 ÷ 4 10. 63 ÷ 9

  8. 1. 1582. 293. 12984. 36545. 1706. 307. 98. 8579. 74810. 7 Solutions

  9. EQ: How do I solve numerical expressions?

  10. Launch • Draw a real world example of an event that must be done in a certain order Order is important!

  11. Vocabulary Term EXAMPLE Expression – a collection of numbers and operations 11 – 14 ÷ 2 + 6

  12. P - parentheses E - exponents M - multiply D - divide A – add S - subtract Vocabulary PEMDAS EXAMPLE 11 – 14 ÷ 2 + 6 Order of Operations – the rules we follow when simplifying a numerical expression

  13. Order of Operations Which student evaluated the arithmetic expression correctly? Susie!

  14. Using the Order of Operations Example 1 Simplify the expression. 3 + 15 ÷ 5 Divide. 3 + 15 ÷ 5 3 + 3 Add. 6

  15. Using the Order of Operations Example 2 Simplify the expression. 44 – 14 ÷ 2 · 4 + 6 44 –14 ÷ 2 · 4 + 6 Divide and multiply from left to right. 44 –7 · 4 + 6 44 – 28 + 6 Subtract and add from left to right. 16 + 6 22

  16. Using the Order of Operations Example 3 Simplify the expression. 3 + 23 · 5 Evaluate the power. 3 + 23 · 5 Multiply. 3 + 8 · 5 3 + 40 Add. 43

  17. Using the Order of Operations Example 4 Simplify the expression. 28 – 21 ÷ 3 · 4 + 5 28 –21 ÷ 3 · 4 + 5 Divide and multiply from left to right. 28 –7 · 4 + 5 Subtract and add from left to right. 28 – 28 + 5 0 + 5 5

  18. Helpful Hint When an expression has a set of grouping symbols within a second set of grouping symbols, begin with the innermost set. Grouping Symbols [ ] ( ) { }

  19. Using the Order of Operations with Grouping Symbols Example 5 Simplify the expression. 42 – (3 · 4) ÷ 6 Perform the operation inside the parentheses. 42 –(3 · 4) ÷ 6 42 –12 ÷ 6 Divide. 42 – 2 Subtract. 40

  20. Using the Order of Operations with Grouping Symbols Example 6 Simplify the expression. A. 24 – (4 · 5) ÷ 4 Perform the operation inside the parentheses. 24 – (4 · 5) ÷ 4 24 –20 ÷ 4 Divide. 24 – 5 Subtract. 19

  21. Using the Order of Operations with Grouping Symbols Example 7 Simplify the expression. [(26 – 4 · 5) + 6]2 The parentheses are inside the brackets, so perform the operations inside the parentheses first. [(26 –4 · 5) + 6]2 [(26 –20) + 6]2 [6 + 6]2 122 144

  22. Using the Order of Operations with Grouping Symbols Example 8 Simplify the expression. [(32 – 4 · 4) + 2]2 The parentheses are inside the brackets, so perform the operations inside the parentheses first. [(32 –4 · 4) + 2]2 [(32 –16) + 2]2 [16 + 2]2 182 324

  23. Try this one on your own! Example 9 3 + 6 x (5+4) ÷ 3 - 7 Step 1: Parentheses 3 + 6 x (5+4) ÷ 3 – 7 Step 2: Multiply and Divide in order from left to right 3 + 6 x9 ÷ 3 – 7 3 + 54÷ 3 – 7 Step 3: Add and Subtract in order from left to right 3 + 18 - 7 Solution: 14

  24. Try another! Example 10 150 ÷ (6 +3 x 8) - 5 Step 1: Parentheses 150 ÷ (6 +3 x 8) – 5 Step 2: Division 150 ÷30 – 5 Step 3: Subtraction 5– 5 Solution: 0

  25. Challenge! Classify each statement as true or false. If the statement is false, insert parentheses to make it true. ( ) false 1. 4  5 + 6 = 44 2. 24 – 4  2 = 40 ( ) false true 3. 25÷ 5 + 6  3 = 23 4. 14 – 22 ÷ 2 = 12 true

  26. Application Sandy runs 4 miles per day. She ran 5 days during the first week of the month. She ran only 3 days each week for the next 3 weeks. Simplify the expression (5 + 3 · 3) · 4 to find how many miles she ran last month. Perform the operations in parentheses first. (5 + 3 · 3) · 4 (5 + 9) · 4 Add. Multiply. 14 · 4 56 Sandy ran 56 miles last month.

  27. Application* Jill is learning vocabulary words for a test. From the list, she already knew 30 words. She is learning 4 new words a day for 3 days each week. Evaluate how many words will she know at the end of seven weeks. Perform the operations in parentheses first. (3 · 4 · 7) + 30 (12 · 7) + 30 Multiply. Add. 84 + 30 Jill will know 114 words at the end of 7 weeks. 114

  28. Application* Denzel paid a basic fee of $35 per month plus $2 for each phone call beyond his basic plan. Write an expression and simplify to find how much Denzel paid for a month with 8 calls beyond the basic plan. $51

  29. Ticket out the door Simplify each expression. 1. 27 + 56 ÷ 7 2. 9 · 7 – 5 3. (28 – 8) ÷ 4 4. 136 – 102 ÷ 5 5. (9 – 5)3 · (7 + 1)2 ÷ 4 35 58 5 116 1,024

  30. Lesson 2 EQ: How can I perform operations with fractions?

  31. Fraction Action Vocabulary Math Dictionary Example

  32. Math Dictionary Fraction Action Vocabulary Example

  33. Adding Fractions 1. 1/5 + 2/5 2. 7/12 + 1/12 3. 3/26 + 5/26 With Like Denominators!

  34. Adding Fractions With Different Denominators! 1. 2/3 + 1/5 2. 1/15 + 4/21 3. 2/9 + 3/12 • Steps: • Find the LCD • Rename the fractions to have the same LCD • Add the numerators • Simplify the fraction

  35. Subtracting Fractions 1. 3/5 - 2/5 2. 7/10 – 2/10 3. 21/24 – 15/24 With Like Denominators!

  36. Subtracting Fractions With Different Denominators! 1. 2/3 – 4/12 2. 4/6 – 1/15 3. 2/12 – 1/8 • Steps: • Find the LCD • Rename the fractions to have the same LCD • Subtract the numerators • Simplify the fraction

  37. Multiplying Fractions 1. 2/9 x 3/12 2. ½ x 4/8 3. 1/6 x 5/8 • Steps: • Multiply the numerators • Multiply the denominators • Simplify the fraction

  38. Dividing Fractions • Steps: • Keep it, change it, flip it! • Multiply the numerators • Multiply the denominators • Simplify the fraction 1. 2/10 ÷ 2/12 2. 1/8 ÷ 2/10 3. 1/6 ÷ 3/15 Keep it, Change it, Flip it!

  39. Lesson 3 More with fractions

  40. Fraction Action Vocabulary Math Dictionary Example

  41. Changing Improper Fractions to Mixed Numbers • Steps: • Divide • Remember…First come, first serve 1. 55/9 2. 39/4 3. 77/12 Divide!

  42. Changing Mixed Numbers to Improper Fractions • Steps: • Multiply the whole number by the denominator • Add the result to the numerator (that will be your new numerator) • The denominator stays the same 1. 2. 3. Check Mark Method

  43. Operations with Mixed Numbers 1. 2. • Steps: • Convert both mixed numbers to an improper fraction • Follow the necessary steps for the given operation • Simplify

  44. Equivalent Fractions True or False? • 3/8 = 375/1000 • 18/54 = 23/69 • 6/10 = 6000/1000

  45. Solutions: • True • True • False

  46. Fraction BINGO Homework: handout

  47. Lesson 4 EQ: How do I perform operations with decimals?

  48. Decimals Math Dictionary • A way to represent fractions • EX: • Look at the last decimal place…that place value is the denominator of the fraction • 2. The numbers to the right of the decimal are the numerator

  49. Place Value Math Dictionary • The value of a digit based on its position in a number

More Related