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Mental Math Strategies  for Grade 3 Students       All photos Courtesy of             MS Clip Art                         ...
What is Mental Math??
It’s the ability to solve math  equations in your head….
WITHOUT      usingpaper OR a pencil!
With Mental Math         you can manipulate           (change) your         number to make an          easier equation.  W...
Here are a few Mental Math        strategies:   •   Count on   •   Doubles   •   Near Doubles   •   Make a Friendly Number...
Count On: If one of the numbers being added is a small number, then just count on.
Count On:       7+3=   3 is a small number,    so just count on   to get your answer.
Count On:  RULE:   Usually, if one of the numbers   are from 1 to 5, you can just   count on.
Doubles:           Knowing your doubles           can help you solve           equations quickly!
Doubles:  Doubles are when you take a number and   add it to itself.  Eg.       2+2=            9+9=            15+15=    ...
Near Doubles:    Knowing your doubles     helps with the Near     Doubles strategy
Near Doubles: Near Doubles almost looks like a  double, but it is off by 1,2,3 or 4                            Near Double...
Near Doubles:Examples of other near doubles:  11+13=          5+8=  11 + 11+2=      5 + 5+3
Near Doubles:  You can even use subtraction for   near doubles.  11+13=            5+8=  13-2 + 13         8-3 + 8        ...
Make a Friendly Number:    What is a   friendly number???
Make a Friendly Number:   A friendly number is a    number that ends with a    “0”.   Numbers with a “0” in the    ones sp...
Make a Friendly Number:  For example,   to make 28 a friendly number,   I can add 2 to it   to make it 30
Make a Friendly Number:More examples:• Add 5 to 35, to make 40• Subtract 2 from 22 to make 20
Make a Friendly Number:     This is how it helps:            9 + 4=    If I make 9 into a 10,             10 + 3=      it ...
Make a Friendly Number:                 BUT….  Notice how I changed the equation to           10 + 3, NOT 10 + 4     I had...
Make a Friendly Number:In adding, it is called “give and take”.If you give to one side, you have to  take from the other s...
Make a Friendly Number: In subtracting, it is called   “give/give” or “take/take”. If you give to one side, you have to   ...
Make a Friendly Number:Some examples of “give/give” and “take/take”:                      9 – 4= 5                        ...
Make a Friendly Number:  When you:  • “give & take” adding  • “give/give”  subtracting  • “take/take”  subtracting  You...
Front-End Adding    When you front-end add you     use expanded notation or     your place values.
Front-End AddingExpanded Notation is breaking your number into ones, tens and hundredsEg. 58                42    5 tens, ...
Front-End Adding• Front-end adding is when you start adding  from the left and move to the right          Eg.   34 + 45   ...
Let’s Review the Mental Math          Strategies   •   Count on   •   Doubles   •   Near Doubles   •   Make a Friendly Num...
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Mental Math Strategies for Grade 3

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I describe 5 Mental Math Strategies that students can use to help solve math equations.

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Mental Math Strategies for Grade 3

  1. 1. Mental Math Strategies for Grade 3 Students All photos Courtesy of MS Clip Art Roshel Salvador
  2. 2. What is Mental Math??
  3. 3. It’s the ability to solve math equations in your head….
  4. 4. WITHOUT usingpaper OR a pencil!
  5. 5. With Mental Math you can manipulate (change) your number to make an easier equation. What’s an equation???It’s the number sentence.
  6. 6. Here are a few Mental Math strategies: • Count on • Doubles • Near Doubles • Make a Friendly Number • Front-End Adding or Expanded Notation
  7. 7. Count On: If one of the numbers being added is a small number, then just count on.
  8. 8. Count On: 7+3= 3 is a small number, so just count on to get your answer.
  9. 9. Count On: RULE: Usually, if one of the numbers are from 1 to 5, you can just count on.
  10. 10. Doubles: Knowing your doubles can help you solve equations quickly!
  11. 11. Doubles: Doubles are when you take a number and add it to itself. Eg. 2+2= 9+9= 15+15= 25+25= You double the number.
  12. 12. Near Doubles: Knowing your doubles helps with the Near Doubles strategy
  13. 13. Near Doubles: Near Doubles almost looks like a double, but it is off by 1,2,3 or 4 Near Double 2 + 2+1 Doubles Doubles
  14. 14. Near Doubles:Examples of other near doubles: 11+13= 5+8= 11 + 11+2= 5 + 5+3
  15. 15. Near Doubles: You can even use subtraction for near doubles. 11+13= 5+8= 13-2 + 13 8-3 + 8 8+8 - 3 13+13 - 2
  16. 16. Make a Friendly Number: What is a friendly number???
  17. 17. Make a Friendly Number: A friendly number is a number that ends with a “0”. Numbers with a “0” in the ones spot are easier to add with
  18. 18. Make a Friendly Number: For example, to make 28 a friendly number, I can add 2 to it to make it 30
  19. 19. Make a Friendly Number:More examples:• Add 5 to 35, to make 40• Subtract 2 from 22 to make 20
  20. 20. Make a Friendly Number: This is how it helps: 9 + 4= If I make 9 into a 10, 10 + 3= it is easier to solve because I’m working with a friendly number.
  21. 21. Make a Friendly Number: BUT…. Notice how I changed the equation to 10 + 3, NOT 10 + 4 I had to manipulate the equation.Otherwise, I’m just make a new and different equation that won’t give the same answer
  22. 22. Make a Friendly Number:In adding, it is called “give and take”.If you give to one side, you have to take from the other side. 9 + 4= 13 (give 1) +1 -1 (take 1) 10 + 3= 13 New equation
  23. 23. Make a Friendly Number: In subtracting, it is called “give/give” or “take/take”. If you give to one side, you have to give to the other side. If you take from one side, you have to take from the other side.
  24. 24. Make a Friendly Number:Some examples of “give/give” and “take/take”: 9 – 4= 5 (give 1) +1 +1 (give 1) 10 – 5= 5 New equation 11 – 4= 7(take 1) -1 -1 (take 1) 10 – 3= 7 New equation
  25. 25. Make a Friendly Number: When you: • “give & take” adding • “give/give”  subtracting • “take/take”  subtracting You are compensating!
  26. 26. Front-End Adding When you front-end add you use expanded notation or your place values.
  27. 27. Front-End AddingExpanded Notation is breaking your number into ones, tens and hundredsEg. 58 42 5 tens, 8 ones 4 tens, 2 ones 50 + 8 40 + 2
  28. 28. Front-End Adding• Front-end adding is when you start adding from the left and move to the right Eg. 34 + 45 - start with the tens: 30 + 40 = 70 - now the ones: 4 + 5 = 9 Now you`re working with a friendly number 70 + 9 = 79
  29. 29. Let’s Review the Mental Math Strategies • Count on • Doubles • Near Doubles • Make a Friendly Number • Front-End Adding or Expanded Notation
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I describe 5 Mental Math Strategies that students can use to help solve math equations.

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