The ability to compute efficiently and accurately with single-digit numbers (NCTM)

transcript

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)::

Teach a collection of strategies or thought patterns

Three main approaches Three main approaches (Van de Walle)(Van de Walle)::

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

Timed Tests

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

Contextualizing math fact problems

Creating arrays and drawing

pictures

Contextualizing math fact problems

Creating arrays and drawing

pictures

Decomposing or using known facts

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)

Counting All

Counting On (+1 and +2)

Counting All

Fact Combinations of 10

Counting All

Doubles

Counting All

Doubles

Near Doubles

Counting All

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)

Fives Fives (x5)

Zeros and Ones Zeros and Ones (x0 & x1)

Fives Fives (x5)

Tens Tens (x10)

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fours Fours (x4)

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fours Fours (x4)

Square Numbers Square Numbers (3x3, 4x4, 5x5, etc.)

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fours Fours (x4)

Remaining FactsRemaining Facts

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fours Fours (x4)

Fives Fives (x5)

Tens Tens (x10)

Nines Nines (x9)

Fours Fours (x4)

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

Timed Tests

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

Fluency AssessmentFluency AssessmentLess than 3% of instructional timeLess than 3% of instructional time

Timed TestsTimed Tests

The ability to compute efficiently and accurately with single-digit numbers (NCTM)

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