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The ability to compute efficiently and accurately with single-digit numbers (NCTM)
Flash cards Practice worksheets Timed Tests Instructional Sequence
◦x 1’s, x 2’s, x 3’s, x 4’s, etc.
Three main approaches Three main approaches (Van de Walle)(Van de Walle)::
Three main approaches Three main approaches (Van de Walle)(Van de Walle)::
Drill
Three main approaches Three main approaches (Van de Walle)(Van de Walle)::
Drill
Teach a collection of strategies or thought patterns
Three main approaches Three main approaches (Van de Walle)(Van de Walle)::
Drill
Teach a collection of strategies or thought patterns
Focusing on number relationships and concepts
Fact Fact FluencyFluency
InstructioInstructional Flownal Flow
Fluency AssessmentFluency AssessmentLess than 3% of instructional time
Timed Tests
Fact Strategy DevelopmentFact Strategy Development30 - 40% of instructional time
Doubles, Near-DoublesFact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Drill Drill 15 - 20% of instructional time, appropriate after a
student demonstrates flexibility on related facts Worksheet based fact practice or Flash Cards
Fact fluency related games
Flexibility with Number Relationships Flexibility with Number Relationships & Concepts& Concepts
40 - 50% of instructional time Contextualizing math fact problems
Creating arrays and drawing pictures Decomposing or Using Known Facts
Using compensation strategies
Fact Fact FluencyFluency
InstructioInstructional Flownal Flow
Fluency AssessmentFluency AssessmentLess than 3% of instructional time
Timed Tests
Fact Strategy DevelopmentFact Strategy Development30 - 40% of instructional time
Doubles, Near-DoublesFact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Drill Drill 15 - 20% of instructional time, appropriate after a
student demonstrates flexibility on related facts Worksheet based fact practice or Flash Cards
Fact fluency related games
Flexibility with Number Relationships Flexibility with Number Relationships & Concepts& Concepts
40 - 50% of instructional time40 - 50% of instructional time Contextualizing math fact problemsContextualizing math fact problems
Creating arrays and drawing picturesCreating arrays and drawing pictures Decomposing or Using Known FactsDecomposing or Using Known Facts
Using compensation strategiesUsing compensation strategies
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Decomposing or Using Known FactsDecomposing or Using Known Facts
Contextualizing math fact problems
Contextualizing math fact problems
Creating arrays and drawing
pictures
Contextualizing math fact problems
Creating arrays and drawing
pictures
Using compensation strategies
Decomposing or using known facts
Fact Fact FluencyFluency
InstructioInstructional Flownal Flow
Fluency AssessmentFluency AssessmentLess than 3% of instructional time
Timed Tests
Fact Strategy DevelopmentFact Strategy Development30 - 40% of instructional time30 - 40% of instructional time
Doubles, Near-DoublesDoubles, Near-DoublesFact Combinations to 10Fact Combinations to 10
Change Instructional Sequence Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)(x2, x5, x1, x0, x10, x9, x4)
Drill Drill 15 - 20% of instructional time, appropriate after a
student demonstrates flexibility on related facts Worksheet based fact practice or Flash Cards
Fact fluency related games
Flexibility with Number Relationships Flexibility with Number Relationships & Concepts& Concepts
40 - 50% of instructional time Contextualizing math fact problems
Creating arrays and drawing pictures Decomposing or Using Known Facts
Using compensation strategies
Counting All
Counting All
Counting On (+1 and +2)
Counting All
Counting On (+1 and +2)
Fact Combinations of 10
Counting All
Counting On (+1 and +2)
Fact Combinations of 10
Doubles
Counting All
Counting On (+1 and +2)
Fact Combinations of 10
Doubles
Near Doubles
Counting All
Counting On (+1 and +2)
Fact Combinations of 10
Doubles
Near Doubles
Decomposing Facts◦ Make Ten◦ Compensation
……does not allow for students to build does not allow for students to build understanding of fact relationships and understanding of fact relationships and
does not help with retention.does not help with retention.
Doubles Doubles (x2)
Doubles Doubles (x2)
Fives Fives (x5)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Fours Fours (x4)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Fours Fours (x4)
Square Numbers Square Numbers (3x3, 4x4, 5x5, etc.)
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Fours Fours (x4)
Square Numbers Square Numbers (3x3, 4x4, 5x5, etc.)
Remaining FactsRemaining Facts
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Fours Fours (x4)
Square Numbers Square Numbers (3x3, 4x4, 5x5, etc.)
Remaining FactsRemaining Facts
Doubles Doubles (x2)
Fives Fives (x5)
Zeros and Ones Zeros and Ones (x0 & x1)
Tens Tens (x10)
Nines Nines (x9)
Fours Fours (x4)
Square Numbers Square Numbers (3x3, 4x4, 5x5, etc.)
Remaining FactsRemaining Facts
8 + 2 = 108 + 2 = 10
7 – 2 = 57 – 2 = 5
10 + 5 = 1510 + 5 = 15
8 + 2 = 108 + 2 = 10
7 – 2 = 57 – 2 = 5
10 + 5 = 1510 + 5 = 15
8 + 2 + 58 + 2 + 5
10 + 5 = 1510 + 5 = 15
8 + 2 = 108 + 2 = 10
7 – 2 = 57 – 2 = 5
10 + 5 = 1510 + 5 = 15
8 + 2 + 5 = 8 + 2 + 5 = 1515
10 + 5 = 1510 + 5 = 15
1 + 7 + 7 = 1 + 7 + 7 = 1515
1 + 14 = 151 + 14 = 15
District created resources:District created resources:
Fact Fluency Newsletter Practice worksheets organized around
strategy development Textbook alignment to specific
strategies for SFAW and Investigations for additional information & resources
Informational sheets with strategy examples and practice ideas
Fact Fact FluencyFluency
InstructioInstructional Flownal Flow
Fluency AssessmentFluency AssessmentLess than 3% of instructional time
Timed Tests
Fact Strategy DevelopmentFact Strategy Development30 - 40% of instructional time
Doubles, Near-DoublesFact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships Flexibility with Number Relationships & Concepts& Concepts
40 - 50% of instructional time Contextualizing math fact problems
Creating arrays and drawing pictures Decomposing or Using Known Facts
Using compensation strategies
Drill Drill 15 - 20% of instructional time15 - 20% of instructional time, , appropriate appropriate after after a a
student demonstrates flexibility on related factsstudent demonstrates flexibility on related facts Worksheet based fact practice or Flash CardsWorksheet based fact practice or Flash Cards
Fact fluency related gamesFact fluency related games
Fact Fact FluencyFluency
InstructioInstructional Flownal Flow
Fact Strategy DevelopmentFact Strategy Development30 - 40% of instructional time
Doubles, Near-DoublesFact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Drill Drill 15 - 20% of instructional time, appropriate after a
student demonstrates flexibility on related facts Worksheet based fact practice or Flash Cards
Fact fluency related games
Flexibility with Number Relationships Flexibility with Number Relationships & Concepts& Concepts
40 - 50% of instructional time Contextualizing math fact problems
Creating arrays and drawing pictures Decomposing or Using Known Facts
Using compensation strategies
Fluency AssessmentFluency AssessmentLess than 3% of instructional timeLess than 3% of instructional time
Timed TestsTimed Tests