Math Strategies

ADDITION:
Through the use of specific strategies, we are teaching skills the first graders can use to help them become proficient at adding numbers (without using their fingers!)
Addition Vocabulary:
  • addition: to join 2 numbers together
  • addend: the two parts of an addition problem that make up the sum; the two numbers that are being combined
  • plus: the symbol used to denote adding or combining numbers
  • equals: the same as
  • sum: the answer to an addition sentence
  • Count on 1 Strategy:  The first graders are learning how to add 1 to numbers.  Through the use of the count on 1 strategy, the children know to say the next number because they can count by 1’s.  For example:2 + 1  is the same as counting up to the next number after 2, which would be 3.The students have also worked on using number tracks (number lines) to check to see what the next number would be.  We have also learned “turn-around facts”.  1 + 2 is the turn-around fact for 2+ 1.  When the greater number is the second addend, we have taught the children to put the greater number in their heads and count up 1 from that number.
  • Count on 2 Strategy:  This is very similar to the count on 1 strategy.  Put the greater number in your head, and count up two numbers.  3 + 2 = 5 since 3 goes in your head and say 2 more numbers (4, 5)For our little mathematicians that are proficient at counting by 2’s:4 + 2 = 6 since 6 is the next number when you count even numbers by 2.Count on 3 Strategy: This is definitely the hardest one so far!  Put the greater number in your head, and count up 3 numbers.4 + 3 = 7 since 4 goes in your head and say 3 more numbers (5, 6, 7)Some students have figured out that 4 + 3 is the same as 5 + 2!
New Vocabulary:
  • DOUBLES FACT: a doubles fact has two addends that are the same.  4 + 4 = 8 is a doubles fact.
  • A few doubles rhymes to help learn the doubles facts:
  • 1+1=2 Zebras belong in the zoo.
  • 2+2=4 I see friends at the door.
  • 3+3=6 A campfire is made of sticks.
  • 4+4=8 It is time to close the gate.
  • 5+5=10 The farmer has a little red hen.
  • 6+6=12 The shoes were made by the little elves.
  • 7+7=14 Give the crown to the queen.
  • 8+8=16 Will you eat a big green bean?
  • 9+9=18 Yellow and blue make green.
  • 10+10=20 She bought more so she’d have plenty.
  • 0+0=0, Oh!
  • 1+1=2, Oooh!
  • 2+2=4, More!
  • 3+3=6, Kicks!
  • 4+4=8, That’s great!
  • 5+5=10, Again!
  • 6+6=12, That’s swell!
  • 7+7=14, Let’s lean!
  • 8+8=16, You’re a queen!
  • 9+9=18, Jelly bean!
  • 10+10=20, That’s plenty!
  • The first graders discovered that all doubles facts make even sums!
SUBTRACTION:
We are learning how to use strategies to help us be faster at subtracting numbers.
Subtraction Vocabulary:
  • subtraction: to take one quantity away from another
  • difference: the answer to a subtraction sentence
  • related fact: Subtraction does not have turnaround facts like addition does. However, they do have related facts.  For example: 7 – 1 = 6 and 7 – 6 = 1 are related.
  • Count on 1 Strategy (otherwise known as count down 1) When you subtract 1 from a number, you say the number that comes next when you count backwards by ones.  For example:5 – 1 = 4 since 4 is the number that you say when you count backwards by 1 from 5. You can also think addition with this strategy.  What plus 1 would make 5?We also looked at using a number line to help find the answer.  We discovered that it is easier to go backwards when you subtract one (5 – 1 = 4).  However, when you subtract using the related fact (5 – 4 = 1), it is easier to use addition and go forwards on the number line from 4 to get to 5 (only 1 space).
  • Count on 2 (or countdown 2) and Count on 3 (or countdown 3) strategies have also been taught.
  • Count on O: This strategy can also be called subtract zero or subtract none.  For example: 6 – 0 = 6  The first graders discovered that when you subtract zero, but end up with the number you started with. The other strategy we learned was called subtract all.  For example, 7 – 7 = 0 We discovered that when you subtract all, you will end up with 0 as your answer.