# Math Fluency

Build math fluency through

Math Talks & Number Strings

To learn more about our Math Fluency solutions or request a quote

## Math Fluency fills the fluency gap in **today’s math curriculum.**

Math Fluency is a supplemental program that provides everything educators need to teach and reinforce multiple strategies that build number sense. The powerful combination of Math Talks and Number Strings improve a student’s ability to think about numbers flexibly, efficiently, and accurately—building a strong foundation of mathematical reasoning for future math success.

## How **it Works**

**Model Strategies**

Use Number Strings to help students construct mental strategies and to systematically nudge them toward efficiency.

**Demonstrate**

Problem-Solving

Problem-Solving

Teachers use demonstration manipulatives to model how to solve a problem, which then becomes a tool for student thinking.

**Apply and Discuss**

Use Math Talks to generate discussions about efficient, clever, and elegant strategies for the given problem and numbers.

**Extend your Daily Math Fluency lessons**

Hands-on student games and activities from the Daily Math Fluency Centers Kits reinforce and support new skills and strategies.

**Components & **Configurations

### Daily Routine

**Daily Math Fluency Kits**

Grade-level kits include 60 Math Talks and 120 Number Strings that provide powerful practice in just 10 minutes a day.

### Centers

**Math Fluency Centers Kits**

Reinforce new skills and strategies with grade-level kits that include 40 activities and manipulatives for up to 6 students.

### Interventions

**Math Fluency Intervention**

Targeted instructional kits to use with students who are struggling with core number concepts.

## Math Fluency Kits **Include**

## Math Fluency Kits

**Grade K**

#### Strategies Taught

- Subitizing
- Counting On and Counting Back
- Use Five/Use Ten
- Use Doubles
- Get to Ten

#### Manipulatives Included

- Demonstration Rekenrek
- Number Path Pocket Chart
- Picture/Dot Subitizing Cards
- Five/Ten/Double

Ten-Frame Cards

**Grade 1**

#### Strategies Taught

- Subitizing
- Counting On and Counting Back
- Use Five/Use Ten
- Use Doubles
- Get to Ten
- Use Ten and Adjust
- Use Known Facts

#### Manipulatives Included

- Demonstration Rekenrek
- Number Path Pocket Chart
- Picture/Dot Subitizing Cards
- Five/Ten/Double

Ten-Frame Cards - Demonstration Open Number Line Poster

**Grade 2**

#### Strategies Taught

- Subitizing
- Counting On and Counting Back
- Use Five/Use Ten
- Use Doubles
- Get to Ten
- Use Ten and Adjust
- Use Known Facts
- Splitting

#### Manipulatives Included

- Demonstration Rekenrek
- Five/Ten/Double

Ten-Frame Cards - 120-Bead

Magnetic Demo Rekenrek Line - Demonstration Open Number Line Poster

**Grade 3**

#### Strategies Taught

- Splitting
- Use a Friendly Number
- Get to a Friendly Number
- Give and Take
- Over and Adjust
- Find the Distance
- Keep the Same Distance
- Double

#### Manipulatives Included

- Flexitable Grid Arrays
- Picture/Dot Multiplication Cards
- 120- Bead

Magnetic Demo

Rekenrek Line - Demonstration Open Number Line Poster
- Ratio Table Poster

### Grade 4

#### Strategies Taught

- 3-Digit Addition and Subtraction
- 4-Digit Addition and Subtraction
- Decimal Addition and Subtraction
- Basic Multiplication— Doubles x2, Doubles Plus Another Group x3, Double Double x4, Double Double Double x8, x5, x6, x7, x9, x10
- Multiplication 2-Digit by 2-Digit
- Basic Division Facts
- Division with Remainders

#### Manipulatives Included

- Picture/Dot Multiplication Cards
- Flexitable Grid Arrays
- Demonstration Open Number Line Poster
- Ratio Table Poster

### Grade 5

#### Strategies Taught

- Splitting
- Use a Friendly Number
- Get to a Friendly Number
- Give and Take
- Over and Adjust
- Find the Distance
- Keep the Same Distance
- Double

#### Manipulatives Included

- Magnetic Demonstration Fraction Circles
- Magnetic Demonstration

Two-Color Counters - Magnetic Demonstration Cuisenaire® Rods
- Demonstration Open Number Line Poster
- Ratio Table Poster

### Grade 6

#### Manipulatives Included

- Magnetic Two-Color Counters
- Magnetic Cuisenaire® Rods
- Magnetic Rainbow Fraction® Circles with Rings
- Demonstration Percent Bar
- Number Line Poster
- Ratio Poster
- Picture Cards

#### Strategies Taught

- Equivalency
- Locate Numbers
- Compare Numbers
- Use a Friendly Number
- Get to a Friendly Number
- Give and Take
- Find the Distance
- Keep the Same Distance
- Integer Addition
- Integer Subtraction
- Scale Up
- Partial Products
- Over and Under
- Use the Commutative Property
- Factoring and Grouping Flexibly
- Use Quotative Division
- Use Common Denominators
- Partial Quotients
- Use Proportional Reasoning
- Integer Multiplication
- Integer Division
- Scale in Tandem
- Scale Up to Scale Down
- Within and Between Ratios
- Use a Friendly Percent
- Use Properties
- Cover-Up
- Solution-Preserving-Moves

### Grade 7

#### Manipulatives Included

- Magnetic Two-Color Counters
- Magnetic Cuisenaire® Rods
- Magnetic Rainbow Fraction® Circles with Rings
- Demonstration Percent Bar
- Number Line Poster
- Ratio Poster
- Picture Cards

#### Strategies Taught

- Use a Friendly Number
- Over and Adjust
- Get to a Friendly Number
- Give and Take
- Removal vs. Distance
- Find the Distance
- Keep the Same Distance
- Use Partial Products
- Over and Under
- Use Commutative Property
- Double and Halve
- Factor and Group Flexibility
- Multiply Up
- Use Quotative Division
- Use Common Denominators
- Partial Quotients
- Use Proportional Reasoning
- Scale in Tandem
- Scale Up to Scale Down
- Within and Between Ratios
- Use a Friendly Percent
- Use Unit Rate
- Cover-Up
- Solution-Preserving-Moves

### Grade 8

#### Strategies Taught

- Use a Friendly Number
- Over and Adjust
- Get to a Friendly Number
- Give and Take
- Removal vs. Distance
- Find the Distance
- Keep the Same Distance
- Partial Products
- Over and Under
- Use Commutative Property
- Double and Halve

- Factor and Group Flexibility
- Multiply Up
- Use Quotative Division
- Partial Quotients
- Use Proportional Reasoning
- Scale in Tandem
- Scale Up to Scale Down
- Scale Down to Scale Up
- Within and Between Ratios
- Use a Friendly Percent
- Cover-Up
- Solution-Preserving-Moves

#### Manipulatives Included

- Magnetic Two-Color Counters
- Magnetic Cuisenaire® Rods
- Magnetic Rainbow Fraction® Circles with Rings
- Demonstration Percent Bar
- Number Line Poster
- Ratio Poster
- Picture Cards

## Math Fluency Centers Kits

**Grade K**

#### Strategies Taught

- Counting
- Count and Compare
- Part-Whole Relationships
- Doubles
- Use 5 and 10 Structure
- Get to 10
- Compose Teen Numbers

#### Manipulatives Included

- Classifying Counters
- Two-Color Counters
- 0-100 Number Cards
- Number Cubes
- Ten-Frames
- Dice
- UniLink® Cubes
- 5-Group Demonstration Cards

**Grade 1**

#### Strategies Taught

- Part-Part-Whole Relationship
- Decompose Numbers
- Counting On
- Basic Addition - Doubles, Near Doubles, Use 5, Make 10, 10 and Adjust
- Basic Subtraction - Take from 10, Get to 10, Remove 10
- Equivalence

#### Manipulatives Included

- Classifying Counters
- Two-Color Counters
- 0-100 Number Cards
- Number Cubes
- Dice
- UniLink® Cubes
- 5-Group Demonstration Cards
- Mini Rekenreks

**Grade 2**

#### Strategies Taught

- Basic Addition - Doubles, Near Doubles, Make 10, Mixed Strategies
- Basic Subtraction - Take from 10, Facts from 20, Subtract 10, Doubles, Near Doubles, Use 10 and Adjust
- 2-Digit Addition - Use a Friendly Number, Get to a Friendly Number
- 2-Digit Subtraction
- 3-Digit Addition and Subtraction

#### Manipulatives Included

- Number Cubes
- Transparent Counters
- Two-Color Counters
- Classifying Counters
- Open Number Lines
- Polyhedral Dice
- Ten-Frames
- UniLink® Cubes

**Grade 3**

#### Strategies Taught

- 2-Digit Addition - Use a Friendly Number, Get to a Friendly Number
- 2-Digit Subtraction
- 3-Digit Addition and Subtraction
- Basic Multiplication - Doubles ×2, Doubles Plus Another Group ×3, Double Double ×4, Double Double Double ×8, ×5, ×6, ×7, ×9, ×10
- Multiplication 2-Digit by 1-Digit
- Basic Division Facts

#### Manipulatives Included

- Classifying Counters
- Two-Color Counters
- Transparent Counters
- Number Cubes
- Hundred Boards
- Color Tiles
- Snap Cubes®
- Decahedral Dice

### Grade 4

#### Strategies Taught

- 3-Digit Addition and Subtraction
- 4-Digit Addition and Subtraction
- Decimal Addition and Subtraction
- Basic Multiplication - Doubles ×2, Doubles Plus Another Group ×3, Double Double ×4, Double Double Double ×8, ×5, ×6, ×7, ×9, ×10
- Multiplication 2-Digit by 2-Digit
- Basic Division Facts
- Division with Remainders

#### Manipulatives Included

- Hundred Boards
- Two-Color Counters
- Color Tiles
- Snap Cubes®
- Number Cubes
- Classifying Counters
- Transparent Counters
- Cuisenaire® Rods

### Grade 5

#### Strategies Taught

- 3-Digit Addition and Subtraction
- Decimal Addition and Subtraction
- Fraction Addition and Subtraction
- 2-and 3-Digit Multiplication
- Division with a 2-Digit Divisor
- Division with Remainders
- Decimal Multiplication
- Decimal Division

#### Manipulatives Included

- Two-Color Counters
- Color Tiles
- Number Cubes, 4 colors
- Transparent Counters
- Rainbow Fraction® Circles
- Cuisenaire® Rods
- Transparent Counters
- Decahedral Dice

## Math Fluency Intervention Kits

**Basic Addition/Subtraction Facts**

#### Strategies Taught

- Counting On
- Use the Five/Ten Structure
- Use Doubles
- Get to Ten
- Use Ten and Adjust
- Use Know Facts
- Counting Back

#### Manipulatives Included

- Rekenrek
- Picture and Dot Cards
- Ten-Frame Cards

**Multi-Digit Addition/Subtraction**

#### Strategies Taught

- Splitting
- Add a Friendly Number
- Get to a Friendly Number
- Over and Adjust
- Give and Take
- Move to a Friendly Number
- Remove to a Friendly Number
- Find the Distance
- Keep the Same Distance

#### Manipulatives Included

- 120-bead Rekenrek
- Number Line Poster

**Basic Multiplication/**

Division Facts

Division Facts

#### Strategies Taught

- Double
- Use Partial Products
- Use Ten Times
- Use Five Times
- Double and Halve
- Partial Quotients
- Multiply Up
- Use Relationships

#### Manipulatives Included

- Picture and Dot Cards
- Flexitable Grid Arrays
- Number Line Poster
- Ratio Table Poster

**Multi-Digit Multiplication/**

**Division**

#### Strategies Taught

- Use Partial Products
- Double and Halve
- Factoring and Grouping Flexibly
- Partial Quotients
- Multiply Up
- Use Relationships

#### Manipulatives Included

- Flexitable Grid Arrays
- Ratio Table Poster

**Fraction/Decimal Operations**

#### Strategies Taught

- Splitting
- Add a Friendly Number
- Get to a Friendly Number
- Give and Take
- Over and Adjust
- Remove a Friendly Number
- Remove to a Friendly Number
- Find the Distance
- Keep the Same Distance
- Use Partial Products
- Double and Halve
- Factoring and Grouping Flexibly
- Partial Quotients
- Multiply Up
- Use Relationships

#### Manipulatives Included

- Cuisenaire® Rods
- Rainbow Fraction® Circles
- Two-Color Counters
- Number Line Poster
- Ratio Table Poster

## See how these students **talk about math.**

Daily Math Fluency can help change the way students think about math and create a generation of

independent thinkers who are ready to creatively and efficiently solve math problems.

## Resources

Building math fluency should be a daily, year-long activity. This helps develop efficiency, flexibility, and accuracy in your students’ grasp of basic math facts. The good news is this can be done in less than 10 minutes a day!

### How to Build Math Fluency

Building math fluency consists of two major components: Number Strings…

### Benefits of Building Math Fluency

Math Fluency is a way to help students develop numeracy, which is the...

### Using Math Talks and Number Strings in Instruction

Here are some things to take into consideration when choosing...

### What are Number Strings?

A number string is a set of related math problems designed to teach st...

### What are Math Talks?

A math talk is a 10-minute activity designed to elicit multiple strate...

### Daily Math Fluency in the Classroom

See how one teacher is using Daily Math Fluency in the classroom...

### Correlations

Daily Math Fluency has been correlated to meet your specific standards...

### Replace Timed Tests with Math Fluency

Does memorization teach students to understand math concepts?

## Meet the **Developer**

### Brittany Goerig

Brittany Goerig is the lead author and co-creator of Daily Math Fluency. Brittany spent 17 years in the classroom as an elementary math teacher and has created and conducted professional development for teachers for the past 15 years. She is passionate about helping children and teachers construct their own mathematical knowledge based on understanding the relationships in mathematics.