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Chapter 3 Review

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Chapter 3 Review. October 7th Lecture Notes.

Chapter 3 Review. October 7th Lecture Notes.

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  • 1. Chapter 3 Review Best Be Taking Notes: This is what your test is on. By: Ms. Dewey-Hoffman
  • 2. Section 3.1: Rounding and Estimating
    • What is rounding?
    • Rounding: taking a number and making it more manageable to a certain placeholder.
    • Do this when you do not need an exact value.
    • What is estimating?
    • Rounding and finding the product, quotient, sum, or difference is estimating.
    • This helps find an appropriate answer that is not exact. But close to the real answer.
  • 3. Three Ways of Estimating “about” or “approximately equal to”
    • Rounding:
    • Round to different placeholders.
    • Estimating:
    • Round to the same placeholder.
    • Front-End Estimating:
    • Often closer to the exact answer then by rounding!
    • Add the left-side of the decimal, then round and add the right-side of the decimal. Finally: add the two sides.
    • Clustering:
    • When values are close to one value, make them all the same value and add.
  • 4. Example Problems: Round to the Underlined Place Value.
    • 58.6 5 9
    • 3 2 .876
    • .87 3 24
    • .00 6 49
  • 5. Example Problems: Estimate by Rounding
    • $37.99 + $32.06  ______
    • 0.379 + .899  ______
    • 72.98 – 28.301  ______
  • 6. Example Problems: Use Front-End Estimation
    • 10.95 + 11.75 + 23.23  ______
    • $15.24 + $0.55 + $9.99  _______
    • 5.32 + 3.12 + 7.34  _______
  • 7. Example Problems: Estimate by Clustering
    • 13.45 + 12.95 + 14.02  ________
    • 9.5 + 9.25 + 9.85  ________
    • $99.56 + $100.25 + $101.04  _______
  • 8. Word Problem
    • Lake Superior, the largest of the Great lakes, has an area of 31,760 miles ². Lake Erie, the smallest of the Great Lakes, has an area of 9,920 miles ². About how much larger is Lake Superior than Lake Erie?
    • How would you solve this problem?
    • What does “ABOUT” mean here?
  • 9. Section 3.2: Estimating Decimal Products and Quotients
    • Estimating the products and quotients of decimals is a good way of checking mental math.
    • Multiplying Decimals: Estimate using any method.
    • Dividing Decimals: Round the Divisor, Round the Dividend (to a compatible number), then Divide!
  • 10. Example Problems: Multiplication Estimation
    • 32.57 • 4.2  _______
    • 193.7 • 1.78  _______
    • 16.33 • 3.5  _______
  • 11. Example Problems: Division Estimation
    • 7.95  2.1  ______
    • 120.32  4.948  ______
    • $32.42  4.68  ______
  • 12. Word Problem: Estimation
    • Shari is planning a 450 miles car trip. Her car can travel about 39 miles on a gallon of gasoline. Gasoline costs $1.19/gal. About how much will the gas cost for her trip?
    • 450 miles   40 miles/gallon  11 gallons
    • 11 gallons • $1.19/gallon  $12 on gas.
  • 13. Section 2.3: The 3 Ms.
    • Measures of Central Tendency
    • Mean ? Data items divided by number of data items.
    • Median ? The middle data item when data items are in order. Or the average of the two middle most data items.
    • Mode ? The date item that occurs most often. There can be 1 mode, no mode, or multiple modes.
    • Outlier ? A data value that is much lower or much higher then the other data items.
  • 14. Example Problems: Find Me M, M & M for all 3. Outlier?
    • 14.5, 7, 13.5, 15, 15, 16, 13.5
    • 53, 53, 55, 45, 47, 51, 57, 58
    • 5.6, 6.8, 1.2, 6.5, 7.9, 6.5
    Mean: 13.5, Median: 14.5, Mode: 13.5 and 15, Outlier: 7 Mean: 52.4, Median: 53, Mode: 53. No Outlier. Mean: 5.8, Median: 6.5, Mode: 6.5. Outlier: 1.2
  • 15. Section 3.4: Using Formulas
    • Formula : an equation that shows a relationship between qualities that are represented by variables.
    • Distance: d = rt
    • Fahrenheit: F = 1.8C + 32
    • Perimeter: P = 2 l + 2 w or P = 2( l + w )
  • 16. Assignment #20
    • Pages: 164-165: 1-9 All, 12-31 All.
    • I want you to read each summary at the top of each section.
    • Make sure you know the definitions to each Key Term at the top of Page 164.

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