Grade 3 Mental Math Subtraction – Fact Learning. C: Subtraction – Fact Learning Strategies There are 4 subtraction fact Learning strategies: –Think Addition.

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Presentation transcript:

Grade 3 Mental Math Subtraction – Fact Learning

C: Subtraction – Fact Learning Strategies There are 4 subtraction fact Learning strategies: –Think Addition (Extension) –Quick Counting Back (New) –Back Through 10 (New) –Up Through 10 (New)

Think Addition Strategy (Introduction) In this strategy students rely on their knowledge of addition facts. –Ex. Double Facts, Plus 1 Facts, Plus 2 facts, Near Double facts etc. They know that certain numbers added together equal a certain number. Ex = 7 or = 7 (a near double fact) The strategy involves think: what number added to the subtrahend gives the minuend

Think Addition Example (Introduction) For 7 – 1: think what number added to 1 gives 6. Remember the addition fact = 7. So the answer is 6 For 15 – 6: think what number added to 6 gives 15. Remember that = 15. So the answer is 9

Think Addition Reinforcement (Day 1) Question # 1 8 – 4 =

Think Addition Reinforcement (Day 1 cont.) Answer:

Think Addition Reinforcement (Day 1 cont.) Question # 2 6 take away 3 is

Think Addition Reinforcement (Day 1 cont.) Answer:

Think Addition Reinforcement (Day 1 cont.) Question # 3 7 days less than 14 days is how many days?

Think Addition Reinforcement (Day 1 cont.) Answer:

End of Lesson

Think Addition Reinforcement (Day 2) Question # 1 $15 - $8 is

Think Addition Reinforcement (Day 2 cont.) Answer:

Think Addition Reinforcement (Day 2 cont.) Question # 2 16 children are 9 boys and how many girls?

Think Addition Reinforcement (Day 2 cont.) Answer:

Think Addition Reinforcement (Day 2 cont.) Question # 3 –2 cm less than 6 cm is

Think Addition Reinforcement (Day 2 cont.) Answer:

Think Addition Reinforcement (Day 2 cont.) Question # 4 The difference between 8 kg and 1 kg is how many kg?

Think Addition Reinforcement (Day 2 cont.) Answer:

Think Addition Reinforcement (Day 2 cont.) Question # 5 5 apples out of 10 apples were eaten. How many apples remain?

Think Addition Reinforcement (Day 2 cont.) Answer:

End of Lesson

Think Addition Reinforcement (Day 3) Question # 1 9 – 7 =

Think Addition Reinforcement (Day 3 cont.) Answer:

Think Addition Reinforcement (Day 3 cont.) Question # 2 13 minus 6 is

Think Addition Reinforcement (Day 3 cont.) Answer:

Think Addition Reinforcement (Day 3 cont.) Question # 3 9 fewer than 15

Think Addition Reinforcement (Day 3 cont.) Answer:

Think Addition Reinforcement (Day 3 cont.) Question # 4 18 cm take away 10 cm

Think Addition Reinforcement (Day 3 cont.) Answer:

Think Addition Reinforcement (Day 3 cont.) Question # 5 7 birds and 2 fly away. How many remain?

Think Addition Reinforcement (Day 3 cont.) Answer:

End of Lesson

Think Addition Reinforcement (Day 4) Question # 1 8 – 0 =

Think Addition Reinforcement (Day 4 cont.) Answer:

Think Addition Reinforcement (Day 4 cont.) Question # 2 $9 less than $14 is how much?

Think Addition Reinforcement (Day 4 cont.) Answer:

Think Addition Reinforcement (Day 4 cont.) Question # 3 The difference between 9 and 7

Think Addition Reinforcement (Day 4 cont.) Answer:

Think Addition Reinforcement (Day 4 cont.) Question # 4 8 L of water was at the game. The players drank 4 L. How much water is left?

Think Addition Reinforcement (Day 4 cont.) Answer:

Think Addition Reinforcement (Day 4 cont.) Question # ____ = 8

Think Addition Reinforcement (Day 4 cont.) Answer:

End of Lesson

Think Addition Assessment (Day 5) Question # 1 7 less 5

Think Addition Assessment (Day 5 cont.) Answer:

Think Addition Assessment (Day 5 cont.) Question # 2 12 minus 8

Think Addition Assessment (Day 5 cont.) Answer:

Think Addition Assessment (Day 5 cont.) Question # 3 6 fewer than 9

Think Addition Assessment (Day 5 cont.) Answer:

Think Addition Assessment (Day 5 cont.) Question # 4 How much time passes between 4 o’clock and 12 o’clock?

Think Addition Assessment (Day 5 cont.) Answer:

Think Addition Assessment (Day 5 cont.) Question # 5 15 pencils. 9 are dull. How many are sharp?

Think Addition Assessment (Day 5 cont.) Answer:

End of Lesson

Quick Counting Back Strategy (Introduction) In this strategy students count back the smaller number from the larger number This strategy should only be used when subtracting 1, 2, or 3 The counting back should be done quickly in the head and not on the fingers

Quick Counting Back Example (Introduction) For 9 – 2: think 9 counting back 2 is 8, 7. So the answer is 7 For 8 – 3: think 8 counting back 3 is 7, 6, 5. So the answer is 5. For 6 – 1: think 6 counting back 1 is 5. So the answer is 5.

Quick Counting Back Reinforcement (Day 1) Question # 1 7 – 1 =

Quick Counting Back Reinforcement (Day 1 cont.) Answer:

Quick Counting Back Reinforcement (Day 1 cont.) Question # 2 8 less 2 equals

Quick Counting Back Reinforcement (Day 1 cont.) Answer:

Quick Counting Back Reinforcement (Day 1 cont.) Question # 3 6 minus 3 is:

Quick Counting Back Reinforcement (Day 1 cont.) Answer:

End of Lesson

Quick Counting Back Reinforcement (Day 2) Question # 1 8 kg less 2 kg is how many kg?

Quick Counting Back Reinforcement (Day 2 cont.) Answer:

Quick Counting Back Reinforcement (Day 2 cont.) Question # 2 $9 - $3 =

Quick Counting Back Reinforcement (Day 2 cont.) Answer:

Quick Counting Back Reinforcement (Day 2 cont.) Question # 3 The difference between 7 and 2

Quick Counting Back Reinforcement (Day 2 cont.) Answer:

Quick Counting Back Reinforcement (Day 2 cont.) Question # 4 One lass than 5

Quick Counting Back Reinforcement (Day 2 cont.) Answer:

Quick Counting Back Reinforcement (Day 2 cont.) Question # 5 7 take away 2

Quick Counting Back Reinforcement (Day 2 cont.) Answer:

End of Lesson

Quick Counting Back Reinforcement (Day 3) Question # 1 7 – 3 =

Quick Counting Back Reinforcement (Day 3 cont.) Answer:

Quick Counting Back Reinforcement (Day 3 cont.) Question # 2 8 candies were on the table and 3 were eaten. How many remain?

Quick Counting Back Reinforcement (Day 3 cont.) Answer:

Quick Counting Back Reinforcement (Day 3 cont.) Question # 3 The difference between 9 cm and 2 cm

Quick Counting Back Reinforcement (Day 3 cont.) Answer:

Quick Counting Back Reinforcement (Day 3 cont.) Question # 4 10 less 3

Quick Counting Back Reinforcement (Day 3 cont.) Answer:

Quick Counting Back Reinforcement (Day 3 cont.) Question # 5 12 – 1 =

Quick Counting Back Reinforcement (Day 3 cont.) Answer:

End of Lesson

Quick Counting Back Reinforcement (Day 4) Question # 1 One less than 13

Quick Counting Back Reinforcement (Day 4 cont.) Answer:

Quick Counting Back Reinforcement (Day 4 cont.) Question # 2 Two less than 11

Quick Counting Back Reinforcement (Day 4 cont.) Answer:

Quick Counting Back Reinforcement (Day 4 cont.) Question # 3 14 minus 3 is:

Quick Counting Back Reinforcement (Day 4 cont.) Answer:

Quick Counting Back Reinforcement (Day 4 cont.) Question # 4 8 cm reduced by 3 cm

Quick Counting Back Reinforcement (Day 4 cont.) Answer:

Quick Counting Back Reinforcement (Day 4 cont.) Question # 5 6 – 1 =

Quick Counting Back Reinforcement (Day 4 cont.) Answer:

End of Lesson

Quick Counting Back Assessment (Day 5) Question # 1 Two less than 18

Quick Counting Back Assessment (Day 5 cont.) Answer:

Quick Counting Back Assessment (Day 5 cont.) Question # 2 The difference between 16 and 3 is

Quick Counting Back Assessment (Day 5 cont.) Answer:

Quick Counting Back Assessment (Day 5 cont.) Question # 3 9 minus 2

Quick Counting Back Assessment (Day 5 cont.) Answer:

Quick Counting Back Assessment (Day 5 cont.) Question # 4 13 take away 3

Quick Counting Back Assessment (Day 5 cont.) Answer:

Quick Counting Back Assessment (Day 5 cont.) Question # 5 3 less than 14

Quick Counting Back Assessment (Day 5 cont.) Answer:

End of Lesson

Back Through 10 Strategy (Introduction) This strategy is used when the minuend is greater than 10 Students subtract the subtrahend from thee minuend in 2 steps –1) to get to 10 –2) take away the rest from 10 Modelling this strategy on a number line will provide students with a good visual for example: 14 – 6. Take away 4 to get 10 and take 2 more to get 8

Back Through 10 Example (Introduction) For 15 – 6: think to take 6 from 15 first take 5 to get to 10 and the take 1 more (the rest of 6) to get to 9. For 12 – 5: think to take 5 from 12 first take 2 to get to 10 and then take 3 (the rest of 5) to get 7

Back Through 10 Reinforcement (Day 1) Question # 1 14 – 9 =

Back Through 10 Reinforcement (Day 1 cont.) Answer:

Back Through 10 Reinforcement (Day 1 cont.) Question # 2 4 less than 11

Back Through 10 Reinforcement (Day 1 cont.) Answer:

Back Through 10 Reinforcement (Day 1 cont.) Question # 3 16 subtract 7

Back Through 10 Reinforcement (Day 1 cont.) Answer:

End of Lesson

Back Through 10 Reinforcement (Day 2) Question # 1 The difference between $6 and $13

Back Through 10 Reinforcement (Day 2 cont.) Answer:

Back Through 10 Reinforcement (Day 2 cont.) Question # 2 17 questions and 9 correct. How many incorrect?

Back Through 10 Reinforcement (Day 2 cont.) Answer:

Back Through 10 Reinforcement (Day 2 cont.) Question # 3 15 – 7 =

Back Through 10 Reinforcement (Day 2 cont.) Answer:

Back Through 10 Reinforcement (Day 2 cont.) Question # 4 14 minus 8 is

Back Through 10 Reinforcement (Day 2 cont.) Answer:

Back Through 10 Reinforcement (Day 2 cont.) Question # 5 3 less than 12

Back Through 10 Reinforcement (Day 2 cont.) Answer:

End of Lesson

Back Through 10 Reinforcement (Day 3) Question # 1 The difference between 9 and 16

Back Through 10 Reinforcement (Day 3 cont.) Answer:

Back Through 10 Reinforcement (Day 3 cont.) Question # 2 How much less is 8 km than 14 km?

Back Through 10 Reinforcement (Day 3 cont.) Answer:

Back Through 10 Reinforcement (Day 3 cont.) Question # 3 17 – 9 =

Back Through 10 Reinforcement (Day 3 cont.) Answer:

Back Through 10 Reinforcement (Day 3 cont.) Question # 4 16 minus 7 is:

Back Through 10 Reinforcement (Day 3 cont.) Answer:

Back Through 10 Reinforcement (Day 3 cont.) Question # 5 The difference between 5 and 13

Back Through 10 Reinforcement (Day 3 cont.) Answer:

End of Lesson

Back Through 10 Reinforcement (Day 4) Question # 1 Subtract 4 from 12

Back Through 10 Reinforcement (Day 4 cont.) Answer:

Back Through 10 Reinforcement (Day 4 cont.) Question # 2 7 less than 15

Back Through 10 Reinforcement (Day 4 cont.) Answer:

Back Through 10 Reinforcement (Day 4 cont.) Question # 3 17 – 9 =

Back Through 10 Reinforcement (Day 4 cont.) Answer:

Back Through 10 Reinforcement (Day 4 cont.) Question # 4 You had 15 cookies and ate 7. How many remain?

Back Through 10 Reinforcement (Day 4 cont.) Answer:

Back Through 10 Reinforcement (Day 4 cont.) Question # 5 16 minus 8

Back Through 10 Reinforcement (Day 4 cont.) Answer:

End of Lesson

Back Through 10 Assessment (Day 5) Question # 1 15 – 9 =

Back Through 10 Assessment (Day 5 cont.) Answer:

Back Through 10 Assessment (Day 5 cont.) Question # 2 The difference between 8 and 14

Back Through 10 Assessment (Day 5 cont.) Answer:

Back Through 10 Assessment (Day 5 cont.) Question # 3 6 less than 13

Back Through 10 Assessment (Day 5 cont.) Answer:

Back Through 10 Assessment (Day 5 cont.) Question # 4 9 taken from 16

Back Through 10 Assessment (Day 5 cont.) Answer:

Back Through 10 Assessment (Day 5 cont.) Question # 5 14 – 8 =

Back Through 10 Assessment (Day 5 cont.) Answer:

End of Lesson

Up Through 10 Strategy (Introduction) This strategy is used when the minuend is greater than 10 It is done by make two calculations: –1) the difference between 10 and the subtrahend –2) the difference between the minuend and 10 These 2 differences are then added together

Up Through 10 Example (Introduction) For 12 – 9, think: From 9 to 10 is 1, and from 10 to 12 is 2, so the total difference is 1 plus 2, or 3. In symbols: 12 – 9 = (10 – 9) + (12 – 10) = = 3 For 14 – 8, think: From 8 to 10 is 2, and from 10 to 14 is 4, so the total difference is 2 plus 4, or 6. In symbols: 14 – 8 = (10 – 8) + (14 – 10) = = 6

Up Through 10 Reinforcement (Day 1) Question # 1 8 less than 14

Up Through 10 Reinforcement (Day 1 cont.) Answer:

Up Through 10 Reinforcement (Day 1 cont.) Question # 2 $13 minus $9

Up Through 10 Reinforcement (Day 1 cont.) Answer:

Up Through 10 Reinforcement (Day 1 cont.) Question # =

Up Through 10 Reinforcement (Day 1 cont.) Answer:

End of Lesson

Up Through 10 Reinforcement (Day 2) Question # 1 The difference between 9 and 11

Up Through 10 Reinforcement (Day 2 cont.) Answer:

Up Through 10 Reinforcement (Day 2 cont.) Question # 2 8 km less than 13 km

Up Through 10 Reinforcement (Day 2 cont.) Answer:

Up Through 10 Reinforcement (Day 2 cont.) Question # 3 9 subtracted from 14

Up Through 10 Reinforcement (Day 2 cont.) Answer:

Up Through 10 Reinforcement (Day 2 cont.) Question # 4 15 – 8 =

Up Through 10 Reinforcement (Day 2 cont.) Answer:

Up Through 10 Reinforcement (Day 2 cont.) Question # 5 13 minus 8

Up Through 10 Reinforcement (Day 2 cont.) Answer:

End of Lesson

Up Through 10 Reinforcement (Day 3 ) Question # 1 14 students and 9 are boys. How many girls?

Up Through 10 Reinforcement (Day 3 cont.) Answer:

Up Through 10 Reinforcement (Day 3 cont.) Question # 2 15 take away 8

Up Through 10 Reinforcement (Day 3 cont.) Answer:

Up Through 10 Reinforcement (Day 3 cont.) Question # 3 8 less than 14

Up Through 10 Reinforcement (Day 3 cont.) Answer:

Up Through 10 Reinforcement (Day 3 cont.) Question # 4 How much is 9 cents less than 13 cents

Up Through 10 Reinforcement (Day 3 cont.) Answer:

Up Through 10 Reinforcement (Day 3 cont.) Question # 5 8 fewer than 12 is:

Up Through 10 Reinforcement (Day 3 cont.) Answer:

End of Lesson

Up Through 10 Reinforcement (Day 4) Question # 1 16 – 9 =

Up Through 10 Reinforcement (Day 4 cont.) Answer:

Up Through 10 Reinforcement (Day 4 cont.) Question # 2 15 minus 8

Up Through 10 Reinforcement (Day 4 cont.) Answer:

Up Through 10 Reinforcement (Day 4 cont.) Question # 3 8 metes less than 13 meters

Up Through 10 Reinforcement (Day 4 cont.) Answer:

Up Through 10 Reinforcement (Day 4 cont.) Question # 4 16 pets and 8 are dogs. How many are cats?

Up Through 10 Reinforcement (Day 4 cont.) Answer:

Up Through 10 Reinforcement (Day 4 cont.) Question # 5 9 less than 15

Up Through 10 Reinforcement (Day 4 cont.) Answer:

End of Lesson

Up Through 10 Assessment (Day 5) Question # 1 14 – 9 =

Up Through 10 Assessment (Day 5 cont.) Answer:

Up Through 10 Assessment (Day 5 cont.) Question # 2 15 minus 8 is:

Up Through 10 Assessment (Day 5 cont.) Answer:

Up Through 10 Assessment (Day 5 cont.) Question # 3 What is 8 km fewer than 14 km?

Up Through 10 Assessment (Day 5 cont.) Answer:

Up Through 10 Assessment (Day 5 cont.) Question # 4 How much less is 9 than 13?

Up Through 10 Assessment (Day 5 cont.) Answer:

Up Through 10 Assessment (Day 5 cont.) Question # 5 9 subtracted from 16 is:

Up Through 10 Assessment (Day 5 cont.) Answer:

End of Lesson

Subtraction – Fact Learning Summative Assessment (Day 1) Question # 1 7 days less than 14 days is how many days?

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Answer:

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Question # 2 Subtract 4 from 12

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Answer:

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Question # 3 8 cm reduced by 3 cm

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Answer:

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Question # 4 8 kg less 2 kg is how many kg?

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Answer:

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Question # 5 What is 8 km fewer than 14 km?

Subtraction – Fact Learning Summative Assessment (Day 1 cont.) Answer:

End of Lesson