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Basic Facts. Presentation by: Heather Etzel, Fourth Grade Alicia Fornal, Fifth Grade Adapted from presentation by: Donn Hicks, Supervisor of Elementary Education, CCPS. Our Purpose.
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Basic Facts Presentation by: Heather Etzel, Fourth Grade Alicia Fornal, Fifth Grade Adapted from presentation by: Donn Hicks, Supervisor of Elementary Education, CCPS
Our Purpose • To share and discuss strategies and activities that parents can use to help their children learn the basic number combinations.
Warm Up Take 30 seconds to memorize this slide! A = B = C = D = E = F =
Which letterbelongs in each box? E B + C = D – B = C x F= F E
Basic Fact MemorizationWhat Does Research Show? • Children who have a strong conceptual understanding of addition, subtraction, multiplication and division are more successful at memorizing their facts. • When children have a firm conceptual foundation and can use fact strategies, memorizing facts becomes a matter of efficiency.
Building Number Concepts Concrete Manipulatives Pictorial Representation Abstract Symbols 4 + 4 = 8 2 x 4 = 8 I I I I I I I I Significant time must be spent working with concrete materials and constructing pictorial representations in order for abstract symbol and operational understanding to occur.
Benchmarks for Kindergarten • Model addition by combining sets of concrete objects and describe the results using words and pictures • Model subtraction by separating sets of concrete objects and describe the results using words and pictures
Benchmarks for First Grade: • Quick recall of all addition facts with addends to 10 and sums to 10 • Demonstrate quick recall of all subtraction facts with minuends to 5 • minuend- subtrahend = difference • addend + addend = sum
Benchmarks for Second Grade: • Demonstrate quick recall of all addition facts with addends to 10 and sums to 15 • Demonstrate quick recall of all subtraction facts with minuends to 10
Benchmarks for Third Grade By the end of grade 3, students will have: • memorized all addition facts with addends to 10 and sums to 18. • memorized all subtraction facts with differences to 10, minuends to 18 and subtrahends to 10. • memorized all multiplication facts up to and including the 5s table.
Benchmarks for Fourth Grade While in grade 4, students are expected to: • retrieve from memory all addition facts with addends to 10 and sums to 18. • retrieve from memory all subtraction facts with differences to 10, minuends to 18 and subtrahends to 10. • have memorized all multiplication facts up to and including the 10s table. • have memorized all division facts with divisors to 10 and quotients to 10.
Benchmarks for Fifth Grade While in grade 5, students will be able to retrieve from memory: • all addition facts with addends to 10 and sums to 18. • all subtraction facts with differences to 10, minuends to 18 and subtrahends to 10. • all multiplication facts up to the 10's table. • all division facts with divisors to 10 and quotients to 10
Strategies to Support Fact Learning Addition • Count on – Used when adding zero, one, two or three • 8 + 2= put the eight in your head and count on 2. • Doubles- the addends are the same. • 7 +7 = 14 • Doubles + 1: Think of your doubles fact and then add 1. • 7+8= Think 7+7=14 + 1=15
Strategies To Support Fact Learning Addition • Turn Around Facts: Commutative Property- The order of the addends does not affect the sum. 4+3=7 3+4=7 • Make-Ten • Knowing pairs of addends that equal ten • 0+10 1+9 2+8 3+7 4+6 5+5 • So when you have a problem 8+5 Think 8+2=10 +3
Strategies To Support Fact Learning Subtraction • Count BACK Strategy: This strategy works best when subtracting 0,1,2,3. • Ex: 12-3 start from 12 and count back three 11,10,9. • Count UP Strategy- This strategy works best when subtracting two numbers that are close together. • 11-8=3 Put 8 in your head and count up 9,10,11
Strategies To Support Fact LearningMultiplication • Zero Rule- any number multiplied by zero is zero 5 x 0 = 0 • One Rule- the product is itself 6 x 1 = 6 • Two Rule- add the number to itself 8 x 2 = 8 + 8 = 16 • Three Rule- double the number, then add the number again 7 x 3 = 14 + 7 = 21
Strategies To Support Fact LearningMultiplication • Four Rule- double the number twice. 6 x 4 = 12 + 12 = 24 Silly Saying (You’ve got to be 16 to drive a 4 x 4) • Five Rule- count by fives. Products will end with 0 or 5. 3 x 5 = 15 4 x 5 = 20 5 x 5 = 25 • Six Rule - think five groups of the number plus one more group.6 x 7 = 5 x 7 + 7 = 42
Strategies To Support Fact Learning • Seven Rule- memorize two facts: 7 x 7 = 49 and 7 x 8 = 56 Brain hook…..56 is 7 x 8…Think 5..6..7..8 • Eight Rule- Memorize one fact: 8 x 8 = 64 Silly Saying (I ate and I ate until I got sick on the floor!) 8 8 6 4
Strategies To Support Fact LearningMultiplication • Nine Rule- subtract 1 from the number you are multiplying with nine. Then think….What should I add to that number to equal 9? 7 x 9 …One less than 7 is 6. 6 + ? =9 6 + 3 = 9 so the product is 63 • Ten Rule- put a zero on the number you are multiplying by. 9 x 10 = 90
Connect to Multiplication Fact Families Strategy - Can be used with all division facts. 6 x 3 = 18 3 x 6 = 18 18 6 = 3 18 3 = 6 18 3 6
CCPS Website http://www2.carrollk12.org/instruction/elemcurric/math/parent.HTM Interactive Multiplication Games http://www.multiplication.com/interactive_games.htm