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Math Notes

Below, you'll find some class notes and strategies that I use during math. Please talk with your child about some of these concepts if he/she is having difficulty or you would like to find out more about the methods we use in class.

[ Chapter 5 ] [ Chapter 7 ] [ Chapter 8 ][ Chapter 12 ]

Chapter 5 & 12 - Division

• Long Division Acronym:
  • Does (Divide)
  • McDonalds (Multiply)
  • Sell (Subtract)
  • Cheese (Check/Compare)
  • Burgers (Bring Down)

Chapter 7 - Fractions

• To find a fractional part of a whole (Lesson 2):
  • Divide whwole by the denominator (Finds how many items in each equal group/part)
  • Multiply quotient by the numerator (Finds how many total items you're to consider)
  • Example:
    • 2/3 of 15
    • 15 divided by 3 = 5
      • There are 5 items in each of the 3 groups
    • 5 multiplied by 2 is 10
      • You 10 items if you count the number of items in 2 of the 3 groups
    • Answer: 10

• To find equivalent fractions (also useful for comparing and ordering fractions):
  • Make a like fraction.
    • How? Make the denominators the same
      • How? Pick the lowest common mulitple of the denominators for the new denominator
    • Then? Find the equivalent fraction with the new denominator
      • How? Multiply the numerator by the same amount that you had to multiply the denominator by

• To compare or order fractions:
  • Make like fractions
  • Compare/Order

• To change an improper fraction to a mixed number:
  • Divide the numerator by the denominator - use long division
  • After dividing, use the different components (divisor, whole number quotient, remainder) of the long division problem to make the mixed number
    • whole number quotient -> whole number
    • divisor -> denominator (doesn't change from original improper fraction)
    • remainder -> new numerator

• To change a mixed number to an improper fraction:
  • Find the new numerator
    • First, mutliply whole number by denominator
    • Then, add the numerator to the previous answer
  • The denominator from the original mixed number stays the same
  • Write the new numerator over the original denominator

• To add fractions and mixed numbers:
  • Check to make sure fractions have the same denominator
    • If not, make like fractions
  • Add the numerators
  • Write the numerator sum over the common denominator
  • Add whole numbers
  • Rewrite the fraction in simplest form

Chapter 8 - Decimals

• To write a decimal for a non tenth or hundreth fraction:
  • Write an equivalent fraction that is has a denominator of 10 or 100
  • Rewrite the number as a decimal
    
• To compare decimals:
  • Start by comparing the digits in the greatest place value
  • Then work your way right until all numbers have been sorted
    
• To Compare & Order Decimals & Fractions:
  • Change all numbers to decimals
  • Change all numbers to have the same number of digits and place values
  • Compare largest place value (left)
  • Continue to compare the next smallest place value (right)
  • Write in request order with original form of number

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