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Math Numbers & Counting Counting Objects Number Names Comparing Numbers Number Operations Counting Sequence Numbers 0-10 Place Value Understanding and System Add and Subtract Within 20 Addition and Subtraction Concepts Addition and Subtraction Equations Addition and Subtraction Problems Foundations for Multiplication Multiplication and Division Properties Multiply and Divide Within 100 Multiplication and Division Problems Factors and Multiples Properties of Operations Patterns and Relationships Generate and Analyze Patterns Multi-Digit Arithmetic Place Value Operations Multi-Digit and Decimal Operations Numerical Expressions Four Operations and Patterns Four Operations Problem Solving Measurement & Data Measurable Attributes Measuring Lengths Measure and Estimate Lengths in Standard Units Relate Addition and Subtraction to Length Classifying and Counting Objects Time and Money Area Concepts and Measurement Perimeter and Area Measures Angle Concepts and Measurement Time, Volume, and Mass Measurement Unit Conversions Geometry Identifying Shapes Shapes and Attributes Shape Attributes and Reasoning Shapes and Composition Classifying 2D Figures Geometric Figures and Relationships Lines, Angles, and Shapes Angle, Area, and Volume Geometric Measurement Volume of 3D Shapes Coordinate Plane Applications Transformations in the Plane Congruence and Similarity Understand congruence in terms of rigid motions Similarity and Transformations Prove Theorems Involving Similarity Pythagorean Theorem Trigonometry for General Triangles Make Geometric Constructions Prove Geometric Theorems Theorems About Circles Find Arc Lengths And Areas of Sectors of Circles Volume Formulas Relationships Between Two-Dimensional and Three-Dimensional Objects Prove Simple Geometric Theorems Algebraically Translate Between Geometric Description and Equation for Conic Section Apply Geometric Concepts in Modeling Situations Fractions & Decimals Fractions as Numbers Building Fractions Fraction Equivalence and Ordering Adding and Subtracting Fractions Multiplying and Dividing Fractions Dividing Fractions Decimal Fractions Multi-Digit Computation and Factors Add, Subtract, Multiply, and Divide Rational Numbers Rational Number System Irrational Numbers and Approximations Ratios Ratios and Proportions Proportional Relationships Unit Rate Algebra Algebraic Expressions Generate Equivalent Expressions Quantitative Relationships Proportional Relationships and Linear Equations Equations and Inequalities Equation Solving and Reasoning Linear Equations and Systems Graph Equations and Inequalities Systems of Equations Real-World Algebraic Problems Quantitative Reasoning with Units Expression Structure Equivalent Expression Forms Radicals and Integer Exponents Rational Exponents Rational and Irrational Numbers Polynomial Operations Polynomial Identities Polynomial Zeros and Factors Rational Expressions Complex Number Operations Complex Numbers in Polynomials Complex Numbers on Plane Statistics & Probability Represent and Interpret Data Data Distributions Statistical Variability Probability Models Compound Event Probabilities Statistical Sampling Interpret Categorical and Quantitative Data Bivariate Data Patterns Interpret Linear Models Comparing Two Populations Random Processes in Statistics Independence and Conditional Probability Expected Values Probability-Based Decision Making Statistical Inference and Conclusions Functions Function Concepts and Notation Define and Compare Functions Interpret Functions in Context Analyze Function Representations Model Relationships with Functions Identify Linear vs Exponential Growth Distinguish Between Function Types Compare Growth Rates Interpret Function Expressions Build Functions from Relationships Construct and Model Functions Transform and Combine Functions Model Comparison and Selection Solve Exponential Equations Trigonometry Trigonometric Ratios Involving Right Triangles Trigonometric Functions and Unit Circle Model with Trigonometric Functions Trigonometric Identities Vectors & Matrices Introduction to Vectors and Matrices Vector Quantities Vector Operations Matrix Operations Calculus Limits and Continuity Derivative Concepts and Notation Derivative Rules and Techniques Applications of Derivatives Optimization Problems Related Rates Curve Sketching and Analysis Integration Concepts and Notation Antiderivatives and Indefinite Integrals Definite Integrals and Area Fundamental Theorem of Calculus Integration Techniques Applications of Integration Differential Equations Sequences and Series Parametric and Polar Functions Vector-Valued Functions

Fact Fluency Sprint

A three-day scaffolded math sequence designed for second-grade fact fluency within 20, moving systematically through doubles and near-doubles, bridge-through-ten strategies, and mixed fluency consolidation.

Doubles Power

Students master doubles and near-doubles (doubles plus one and minus one) using visual dot patterns, rapid recall, and real-world story applications within 20.

Bridge to Ten

Students learn to decompose addends to make friendly tens (e.g., 8 + 5 = 8 + 2 + 3) using double ten frames and number bonds for addition and related subtraction within 20.

Fact Master Challenge

Students integrate and apply flexible mental math strategies across mixed addition and subtraction facts within 20 through timed fluency sprints, fact family triangles, and error analysis.

Fact Fluency Sprint

A three-day scaffolded math sequence designed for second-grade fact fluency within 20, moving systematically through doubles and near-doubles, bridge-through-ten strategies, and mixed fluency consolidation.

Doubles Power Slides

Grade 2 Fact Fluency • Lesson 1

Mental Math Superpower

Doubles & Near-Doubles

Power Strategies

Use twin numbers you already know to solve tricky addition and subtraction facts up to 20 in a snap!

1

Spot Twins

6+6, 7+7, 8+8, 9+9

2

Add or Subtract 1

7 + 8 = (7 + 7) + 1

3

Lightning Fast

Solve under 3 seconds

STEP 1

Anchor Your Twin Doubles!

Fast Recall Anchor Facts

Egg Carton

6 + 6

= 12

Two Weeks

7 + 7

= 14

Crayon Pack

8 + 8

= 16

Almost Twenty

9 + 9

= 18

💡

Choral Chant: “Double six is 12! Double seven is 14! Double eight is 16! Double nine is 18!”

Say It Together!

STEP 2

The Near-Doubles Secret: Doubles Plus 1

Adjacent Addends Strategy

The Problem

7 + 8 = ?

Look closely: 8 is just 7 + 1! You already know double 7!

1. Think of the double: 7 + 7 = 14

2. Add the extra 1: 14 + 1 = 15

So, 7 + 8 = 15!

Try It Together

8 + 9 = ?

A What is double 8? 16

B Add 1 more to 16: 17

Final Answer

8 + 9 = 17

Superhero Rule: When numbers sit next to each other on the number line, double the smaller number and add 1!

STEP 3

Using Doubles to Subtract!

Think-Addition Strategy

Pure Double Subtraction

14 − 7 = ?

Turn it around! Ask: “7 plus what mystery twin equals 14?”

Think: 7 + 7 = 14

So: 14 − 7 = 7

Half of 14 is 7!

Near-Double Subtraction

15 − 7 = ?

Think about the closest double you know: 14 is 7 + 7.

Since 7 + 7 = 14

Then 7 + 8 = 15

Therefore: 15 − 7 = 8!

Teacher Cue: Ask students: “If 16 − 8 = 8, what must 17 − 8 equal?” (Answer: 9!)

CHALLENGE

Rapid-Fire Lightning Round!

Call Out When Signaled!

Round 1

6 + 7

Double 6 + 1 = 13

Round 2

8 + 7

Double 7 + 1 = 15

Round 3

17 − 8

8 + ? = 17 → 9

Ready for the Doubles Quest Worksheet!

Get your pencils ready to show your mental math superpowers!

Next: Practice Page

Doubles Quest Worksheet

Doubles Quest Worksheet

Lesson 1 • Facts to 20 • Mental Math

Name:

Date:

Strategy Anchor: Spot the twin! For near doubles, double the smaller number and add 1 (e.g., 7 + 8 = 7 + 7 + 1 = 15).

Part 1

Twin Doubles Rapid Recall • Write each sum.

Double 5

5 + 5 =

Double 6

6 + 6 =

Double 7

7 + 7 =

Double 8

8 + 8 =

Double 9

9 + 9 =

Double 10

10 + 10 =

Double 4

4 + 4 =

Double 3

3 + 3 =

Part 2

Near-Doubles • Fill in the thinking steps.

1. 6 + 7 Double + 1

I know double 6 is:

Add 1 more: + 1 =

So, 6 + 7 =

2. 7 + 8 Double + 1

I know double 7 is:

Add 1 more: + 1 =

So, 7 + 8 =

3. 8 + 9 Double + 1

I know double 8 is:

Add 1 more: + 1 =

So, 8 + 9 =

4. 5 + 6 Double + 1

I know double 5 is:

Add 1 more: + 1 =

So, 5 + 6 =

Part 3

Think-Addition Subtraction • Use doubles knowledge to solve.

12 − 6 =

Think: 6 + ___ = 12

14 − 7 =

Think: 7 + ___ = 14

16 − 8 =

Think: 8 + ___ = 16

13 − 6 =

Think: 6 + ___ = 13

15 − 7 =

Think: 7 + ___ = 15

17 − 8 =

Think: 8 + ___ = 17

Doubles Quest • Page 1 of 2 Turn page for Fast Sprint & Story Problems →

Doubles Quest • Practice & Apply

Apply rapid mental strategies to solve and explain.

Target: Fast & Accurate

Part 4

60-Second Doubles Sprint • Ready, set, solve!

Score: ___ / 12

4 + 5 =

6 + 6 =

7 + 8 =

18 − 9 =

8 + 8 =

9 + 8 =

14 − 7 =

5 + 6 =

9 + 9 =

16 − 8 =

6 + 7 =

15 − 7 =

Part 5

Story Problem Solvers • Write the equation and answer.

1. Maya baked 8 blueberry muffins. Her brother Leo baked 9 banana muffins. How many muffins did they bake in all?

Bridge to Ten Slides

Grade 2 Fact Fluency • Lesson 2

Make 10 Strategy

Bridge to Ten!

The Power of Friendly Tens

Why count on your fingers when you can make a friendly ten? Learn the secret of breaking apart numbers to add and subtract faster!

1

Fill to 10 First

8 needs 2 • 9 needs 1

2

Add What's Left

10 + 3 = 13

3

Reverse to Subtract

14 − 4 − 2 = 8

MAKE 10

Watch the Ten Frame Fill Up!

8 + 5 = 13

First Ten Frame: Full Ten!

8

8

8

8

8

8

8

8

+1

+1

8 + 2 = 10

Second Ten Frame: 3 Left Over

+1

+1

+1

The 3 Bridge Steps:

1

Ask: What does 8 need to make 10?

8 needs 2 more.

2

Decompose 5 into 2 and 3:

5 = 2 + 3

3

Combine the friendly 10 with 3:

10 + 3 = 13!

Class Anchor: “Make ten to win! Ten plus any number is easy!”

BONDS

Number Bonds: The 9-Plus Trick

9 only ever needs 1!

Problem A

9 + 6 = ?

Borrow 1 from the 6 so 9 becomes 10!

Split 6 into: 1 and 5

9 + 1 = 10

10 + 5 = 15

9 + 6 = 15

Problem B

9 + 7 = ?

Borrow 1 from the 7 so 9 becomes 10!

Split 7 into: 1 and 6

9 + 1 = 10

10 + 6 = 16

9 + 7 = 16

Pattern Alert: 9 + 4 = 13 • 9 + 5 = 14 • 9 + 6 = 15 • 9 + 7 = 16 • 9 + 8 = 17! The ones digit is always 1 less!

SUBTRACT

Bridge Back Through 10!

Subtraction Strategy

The Subtraction Challenge

13 − 5 = ?

Take away in two easy jumps! Stop at 10 on your way down.

Jump 1: Take away 3 to get to 10:
13 − 3 = 10

Jump 2: Since we need to subtract 5, subtract 2 more:
10 − 2 = 8

13 − 5 = 8

Try It: 15 − 8 = ?

15 − 8 = ?

1. Drop to 10: 15 − 5 = 10

Ten Frame Hero Worksheet

Ten Frame Hero Worksheet

Lesson 2 • Make 10 to Add & Subtract

Name:

Date:

Strategy Anchor: 8 needs 2 to make 10. 9 needs 1 to make 10. Fill the ten frame first, then add what is left over!

Part 1

Ten Frame Bridge • Draw dots to fill 10, then solve.

1. Solve 8 + 5 = ? 8 + 2 + 3

Make 10: 8 + 2 = 10

Remaining: 10 + =

So, 8 + 5 =

2. Solve 9 + 4 = ? 9 + 1 + 3

Make 10: 9 + 1 = 10

Remaining: 10 + =

So, 9 + 4 =

Part 2

Number Bond Power • Decompose the second number to make 10.

9 + 5

Split 5 into: 1 and

10 + ___ = ___

9 + 5 =

8 + 6

Split 6 into: 2 and

10 + ___ = ___

8 + 6 =

7 + 5

Split 5 into: 3 and

10 + ___ = ___

7 + 5 =

9 + 7

Split 7 into: 1 and

10 + ___ = ___

9 + 7 =

Ten Frame Hero • Page 1 of 2 Turn page for Bridge Subtraction & Sprint →

Ten Frame Hero • Bridge Back & Sprint

Deconstruct numbers to master subtraction and speed.

Goal: Mental Accuracy

Part 3

Bridge Back Subtraction • Step through 10 to solve.

1. 13 − 5 = ?

Step 1: Jump back to 10 → 13 − 3 = 10

Step 2: Subtract remaining 2 → 10 − 2 =

So, 13 − 5 =

2. 14 − 6 = ?

Step 1: Jump back to 10 → 14 − 4 = 10

Step 2: Subtract remaining 2 → 10 − 2 =

So, 14 − 6 =

3. 15 − 7 = ?

Step 1: Jump back to 10 → 15 − 5 = 10

Step 2: Subtract remaining 2 → 10 − 2 =

So, 15 − 7 =

4. 12 − 5 = ?

Step 1: Jump back to 10 → 12 − 2 = 10

Step 2: Subtract remaining 3 → 10 − 3 =

So, 12 − 5 =

Part 4

Bridge to 10 Rapid Sprint • 60 seconds

Score: ___ / 12

9 + 3 =

8 + 4 =

9 + 6 =

13 − 4 =

8 + 5 =

7 + 6 =

Fact Master Slides

Grade 2 Fact Fluency • Lesson 3

Mastery Arena

Fact Master Challenge!

Mixed Facts to 20

You have learned the Doubles Superpower and the Make-Ten Bridge. Now choose the fastest tool for every fact!

1

Choose Your Tool

Doubles or Make 10?

2

Fact Families

4 facts in 1 triangle

3

Fact Champion

Fast, flexible, accurate

TOOLBOX

Pick the Best Strategy!

Flexible Thinkers Win

A

Doubles & Near-Doubles

Best when numbers are twins or neighbors!

7 + 7 = 14 (Pure Double)

7 + 8 = 15 (Double + 1)

16 − 8 = 8 (Half of 16)

Cue: “Numbers are side-by-side!”

B

Bridge Through 10

Best when one addend is 8 or 9!

9 + 5 = 14 (10 + 4)

8 + 6 = 14 (10 + 4)

13 − 5 = 8 (13 − 3 − 2)

Cue: “One number is almost 10!”

Both strategies work! Great mathematicians pick the one that feels fastest for them.

CHOICE

Which Strategy Would You Pick?

Show 1 Finger or 2 Fingers!

Fact 1

6 + 7

Near-Doubles!

(6 + 6) + 1 = 13

Fact 2

9 + 4

Make 10!

(9 + 1) + 3 = 13

Fact 3

8 + 8

Pure Double!

Instant twin recall = 16

Notice anything? 6 + 7 and 9 + 4 both equal 13! Different equations, same total!

FAMILY

Fact Family Triangle: 4 Facts in 1

Part-Part-Whole

Whole on Top

17

9

Part

8

Part

The 4 Family Equations:

Addition 9 + 8 = 17

Addition 8 + 9 = 17

Subtraction 17 − 9 = 8

Subtraction 17 − 8 = 9

If you know one addition fact, you know three more for free!

Superpower Rule: Subtraction always starts with the whole (biggest number)!

ARENA

Fact Champion Warmup!

Fast Shout-Outs

Round 1

7 + 9

Make 10 →

Fact Champion Worksheet

Fact Champion Worksheet

Lesson 3 • Mixed Strategies • Facts to 20

Name:

Date:

Mission: Be a flexible mathematician! Pick the strategy that gives you speed and accuracy: Doubles or Make Ten.

Part 1

Strategy Selection • Circle your strategy choice, then solve.

7 + 8 =

Doubles Make 10

My mental strategy:

9 + 6 =

Doubles Make 10

My mental strategy:

16 − 8 =

Doubles Make 10

My mental strategy:

14 − 5 =

Doubles Make 10

My mental strategy:

Part 2

Fact Family Triangles • Complete the 4 related equations.

15 (Whole) → Parts: 8 and 7

8 + 7 =

7 + 8 =

15 − 8 =

15 − 7 =

13 (Whole) → Parts: 9 and 4

9 + 4 =

4 + 9 =

13 − 9 =

13 − 4 =

Part 3

Fact Detective • Fix the mistake!

Case: Sam wrote: 14 − 6 = 9. Help Sam find the correct answer using Make 10 or Doubles.

What mistake did Sam make?

Correct Work & Solution:

14 − 6 =

Because: 14 − 4 = 10, and 10 − 2 = ___

Fact Champion • Page 1 of 2 Turn page for the 2-Minute Mastery Sprint →

The 2-Minute Championship Sprint

Solve with speed and strategy accuracy!

Sprint Goal: 18+ / 20

1

6 + 6 =

2

8 + 5 =

3

9 + 4 =

4

14 − 7 =

5

7 + 8 =

6

9 + 7 =

7

12 − 6 =

8

8 + 8 =

9

13 − 5 =

10

9 + 8 =

11

16 − 8 =

12

7 + 6 =

13

15 − 7 =

14

8 + 6 =

15

9 + 9 =

16

18 − 9 =

17

7 + 7 =

18

17 − 8 =

19

8 + 7 =

20

15 − 8 =

Part 5

Championship Word Problem

Show your work / doubles thinking:

Number Sentence:

Answer: muffins

2. Coach Parker had 16 soccer balls in a cart. The players took 8 balls out to practice. How many balls were left in the cart?

Show your work / doubles thinking:

Number Sentence:

Answer: soccer balls

Detective Code • Match the sums to reveal the word!

Solve each fact, then write the letter that matches each answer.

11 = S 13 = U 15 = P 17 = E 19 = R

5 + 6 = 11

S

6 + 7 = 13

7 + 8 = 15

8 + 9 = 17

9 + 10 = 19

My Doubles Confidence:

Doubles Quest • Page 2 of 2

2. Subtract 3 more: 10 − 3 = 7

15 − 8 = 7!

Ten is our home base! Touch 10, then jump the rest of the way.

PRACTICE

Ten Frame Rally!

Fast Shout-Out

Fact 1

8 + 6

10 + 4 = 14

Fact 2

9 + 5

10 + 4 = 14

Fact 3

8 + 7

10 + 5 = 15

Fact 4

14 − 6

10 − 2 = 8

You are Ten Frame Heroes!

Open your Ten Frame Hero Worksheet to bridge numbers like a pro!

Next: Student Worksheet

15 − 6 =

9 + 8 =

14 − 5 =

8 + 7 =

11 − 4 =

9 + 9 =

Part 5

Make-Ten Story Quest

Eli collected 9 smooth river stones on Monday. On Tuesday, he collected 7 more river stones. How many stones did Eli collect altogether?

Show make-10 thinking or number bond:

Equation:

Answer: river stones

Make-10 Hero Rank: Ten Frame Master

Ten Frame Hero • Page 2 of 2

16

Round 2

18 − 9

Double → 9

Round 3

8 + 7

Near-Double → 15

Round 4

15 − 8

Bridge 10 → 7

Final Mission: Fact Champion Worksheet!

Show off both strategies, conquer the speed sprint, and earn your badge!

Begin Challenge!

Zoe collected 8 gold stars on Monday and 9 gold stars on Tuesday. Then she used 6 stars to buy a math puzzle. How many stars does Zoe have left?

Step 1: Find total stars collected:

Equation: =

Step 2: Subtract stars spent:

Equation: =

Final Answer: Zoe has stars left.

Official Grade 2 Fact Fluency Champion!

Awarded for mastering doubles, near-doubles, and bridge-to-10 addition and subtraction.

Teacher Signature:

Fact Champion • Page 2 of 2 Sprint Score: _____ / 20

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