
The ability to compute efficiently
and accurately with single-digit
numbers (NCTM)
Addition & Subtraction to 18
% of Students at ≥ 20 problems/min
100%
90%
80%
70%
60%
60%
52%
50%
44%
40%
30%
20%
19%
10%
0%
3rd Grade
4th Grade
5th Grade
Math 6
100%
Multiplication & Division to 12's
% of students ≥ 20 problems/min
91%
90%
80%
65%
70%
60%
50%
40%
30%
32%
23%
20%
10%
0%
5th Grade
Math 6
Intro to Pre- Pre-Alg 6th
Alg 6th
Flash cards
 Practice worksheets
 Timed Tests
 Instructional Sequence

◦ x 1’s, x 2’s, x 3’s, x 4’s, etc.
Three main approaches
(Van de Walle):
Three main approaches

Drill
(Van de Walle):
Three main approaches
(Van de Walle):

Drill

Teach a collection of strategies
or thought patterns
Three main approaches
(Van de Walle):

Drill

Teach a collection of strategies
or thought patterns

Focusing on number
relationships and concepts
Fact Fluency
Instructional
Flow
Fluency Assessment
Less than 3% of instructional time
Timed Tests
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
Fact Strategy Development
30 - 40% of instructional time
Doubles, Near-Doubles
Fact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships & Concepts
40 - 50% of instructional time
Contextualizing math fact problems
Creating arrays and drawing pictures
Decomposing or Using Known Facts
Using compensation strategies
Fact Fluency
Instructional
Flow
Fluency Assessment
Less than 3% of instructional time
Timed Tests
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
Fact Strategy Development
30 - 40% of instructional time
Doubles, Near-Doubles
Fact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships & Concepts
40 - 50% of instructional time
Contextualizing math fact problems
Creating arrays and drawing pictures
Decomposing or Using Known Facts
Using compensation strategies

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing or Using Known Facts

Decomposing 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 Fluency
Instructional
Flow
Fluency Assessment
Less than 3% of instructional time
Timed Tests
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
Fact Strategy Development
30 - 40% of instructional time
Doubles, Near-Doubles
Fact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships & 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

Fact Combinations of 10
(+1 and +2)

Counting All

Counting On

Fact Combinations of 10

Doubles
(+1 and +2)

Counting All

Counting On

Fact Combinations of 10

Doubles

Near Doubles
(+1 and +2)

Counting All

Counting On

Fact Combinations of 10

Doubles

Near Doubles

Decomposing Facts
◦ Make Ten
◦ Compensation
(+1 and +2)
…does not allow for students to build
understanding of fact relationships and
does not help with retention.

Doubles
(x2)

Doubles

Fives
(x5)
(x2)

Doubles

Fives

Zeros and Ones
(x2)
(x5)
(x0 & x1)

Doubles

Fives

Zeros and Ones

Tens
(x2)
(x5)
(x10)
(x0 & x1)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x2)
(x5)
(x10)
(x9)
(x0 & x1)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x9)

Fours
(x4)
(x2)
(x5)
(x10)
(x0 & x1)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x9)

Fours
(x4)

Square Numbers
(x2)
(x5)
(x0 & x1)
(x10)
(3x3, 4x4, 5x5, etc.)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x9)

Fours
(x4)

Square Numbers

Remaining Facts
(x2)
(x5)
(x0 & x1)
(x10)
(3x3, 4x4, 5x5, etc.)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x9)

Fours
(x4)

Square Numbers

Remaining Facts
(x2)
(x5)
(x0 & x1)
(x10)
(3x3, 4x4, 5x5, etc.)

Doubles

Fives

Zeros and Ones

Tens

Nines
(x9)

Fours
(x4)

Square Numbers

Remaining Facts
(x2)
(x5)
(x0 & x1)
(x10)
(3x3, 4x4, 5x5, etc.)
8 + 2 = 10
7 –2 = 5
10 + 5 = 15
8 + 2 = 10
7 –2 = 5
10 + 5 = 15
8+2+5
10 + 5 = 15
1 + 7 + 7 = 15
8 + 2 = 10
7 –2 = 5
10 + 5 = 15
8 + 2 + 5 = 15
10 + 5 = 15
1 + 14 = 15
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 Fluency
Instructional
Flow
Fluency Assessment
Less than 3% of instructional time
Timed Tests
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
Fact Strategy Development
30 - 40% of instructional time
Doubles, Near-Doubles
Fact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships & Concepts
40 - 50% of instructional time
Contextualizing math fact problems
Creating arrays and drawing pictures
Decomposing or Using Known Facts
Using compensation strategies
Fact Fluency
Instructional
Flow
Fluency Assessment
Less than 3% of instructional time
Timed Tests
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
Fact Strategy Development
30 - 40% of instructional time
Doubles, Near-Doubles
Fact Combinations to 10
Change Instructional Sequence (x2, x5, x1, x0, x10, x9, x4)
Flexibility with Number Relationships & Concepts
40 - 50% of instructional time
Contextualizing math fact problems
Creating arrays and drawing pictures
Decomposing or Using Known Facts
Using compensation strategies