The #1 teaching tool for Math Facts!™

## TEACH Lesson 4: Little Doubles (SAMPLE LESSON)

FACT FOCUS: 1+1, 2+2, 3+3, 4+4 & associated Subtraction facts
LEARNING GOAL: “I can automatically recall the product of all “Little Doubles” Addition facts. I can use this knowledge to quickly find differences of related Subtraction facts.”

### LESSON COMPONENTS

1. PREVIEW LESSON 4

2. TEACH LESSON 4:

Factivation’s lesson progression uses research-based instructional practices to move students from initial understanding of the concept of Addition to accurate recall through memory-enhancing strategies and purposefully designed accuracy building activities. After accuracy is established, student begin timed, targeted fluency building. This brain-friendly, complete process prepares students to then apply facts, with automaticity, to problem solving scenarios. Factivation connects newly acquired facts to their Subtraction counterparts and students gain a thorough understanding of the reciprocity of the operations during the Application portion of the lesson.

Segment 1: Concept Building

Before developing fact fluency, it is important that students have an understanding of this important fact: addition is repeated addition. When we have groups and the same number of ‘things’ in each one, we multiply (or add repeatedly) to find the total (product). Concept Building is Segment 1 of the Factivation!® Lesson Progression, providing students an opportunity to build a strong foundational understanding while being introduced to the focus facts for this lesson.
SEE INSTRUCTIONAL RECOMMENDATIONS
Lay the foundation for this lesson! Use the Adderpillar™ mat (and any available manipulatives) to give students hands-on experience building “Little Doubles” Addition facts. (For this lesson, have students use only the first two sections of the Adderpillar’s body.)  Play the Addition singalongs whenever time allows to reinforce the concept of Addition and Addition vocabulary.

PROCEDURE: The first time this activity is introduced, read or watch Eric Carle’s The Very Hungry Caterpillar.  Explain to students that they have a very hungry adderpillar™  who likes to eat gummy bears (adapt to fit your manipulatives).

Model: Write a Doubles fact on the board: 3 + 3 = ___ for example, and say, “When our adderpillar™ first woke up, he was hungry, so he ate 3 gummy bears.  Point to the “3” in your equation and then to the first empty section of the adderpillar’s body. Say, “Our first addend is 3. By mid-morning, he was hungry again and ate 3 more gummy bears.”  (Point to the other “3” in the  equation and place 3 gummy bears in the second section of the adderpillar™. Say, “Our next addend is also 3.”) Ask, “How many gummy bears did he eat in all? What is the SUM?” Refer back to your equation and ask students to find the sum. Record. Continue modeling with different Doubles facts as needed.

Practice: Have students practice building this lesson’s Doubles facts independently or with a partner using their Adderpillar™ mat and manipulatives.  Follow up each fact building session with an Addition Concept Builder. Place the Adderpillar™ mat and manipulatives in a Math center for continued practice.

Estimated Duration: 2-3 days | Time/Lesson: 20 mins.

SINGALONGS Supporting Resources

MORE SINGALONGS ↝

#### FACT BUILDING “HANDS-ON” ACTIVITIES

Use for a concept lesson, then place in a center for independent practice!

#### FOLLOW-UP PRACTICE

Segment 2: Accuracy Building

Before students can build fact fluency, they need to be consistently accurate in solving Math facts. Accuracy follows conceptual understanding and precedes the development of automaticity, which is why Accuracy Building is Segment 2 of the Factivation!® Lesson Progression.
SEE INSTRUCTIONAL RECOMMENDATIONS
TO ENSURE SUCCESS, show an instructional video daily to familiarize students with new facts/strategies. Assign purposeful follow-up practice using the accompanying Fluency Builder. Do not enforce a strict time limit yet.  Allow students the needed time to use the strategies learned. Monitor for consistent, correct (not automatic) recall. For additional practice throughout the day, engage students in class competitions with the accuracy building Smartboard games. Assess and move onto Fluency Building (Segment 3) when students demonstrate readiness.

Estimated Duration: 2-3 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### FOLLOW-UP PRACTICE

Great for centers and/or home use!

#### SINGALONGS

THE COMMUTATIVE SONG→

#### SMARTBOARD GAMES

Great for class competitions!

SEE LESSON 4 UNTIMED GAMES→

#### ASSESSMENTS

IMPORTANT- Use the assessment above to assess accuracy (not fluency) before moving on!

Segment 3: Fluency Building

Once students are showing consistent, accurate recall, it’s time to begin fluency building. Students who have developed automaticity (being able to recall answers with ease, automatically) are more successful with Math because, when faced with complex problems, the brain can focus on the more challenging processes rather than having to “work” to recall basic facts. Fluency Building is the crucial third segment of the Factivation!® Lesson Progression.
SEE INSTRUCTIONAL RECOMMENDATIONS
Move from accuracy to automaticity! TO ENSURE SUCCESS, students should already have developed accurate, untimed recall with the lesson’s focus facts (see Segment 2). Assign the Fluency Builder activity daily using one of the suggested formats. Have students track their own progress using the speed check chart. For additional practice throughout the day, show the Fast Facts video or engage students in class competitions with the fluency building games.

Estimated Duration: 2-3 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### SMARTBOARD GAMES

Great for class competitions!

SEE LESSON 4 TIMED GAMES→

#### ASSESSMENTS

##### Online Option

Lesson 4 Assessment (Kubbu.com) (Optional)

NOTE: You will need to set up a free Kubbu account to access online assessments. It’s quick and easy- find out how→

IMPORTANT- Use an assessment above to assess fluency before moving on to next lesson segment!

Segment 4: Application

Once students have become fluent with the lesson’s focus facts, it’s time to put this new knowledge to use and give students opportunities to apply their learning. Application is Segment 4 of the Factivation!® Lesson Progression.
SEE INSTRUCTIONAL RECOMMENDATIONS
Show the Subtraction video daily to provide repeated exposure to the reciprocity of Addition and Subtraction. Follow up each video lesson with a Logical Links page to give students practice in applying their knowledge of this lesson’s focus facts to their Subtraction counterparts. Continue on to fluency-building with the lesson’s Subtraction facts when students demonstrate readiness as per the Logical Links pages (see Subtraction Fluency Builder). The motivating, research-based Speed Check Chart can be used with the Subtraction fluency builder to track personal progress toward Subtraction fluency goals.

Estimated Duration: 3-5 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### APPLY FACTS TO RELATED SUBTRACTION FACTS

##### Assess Subtraction Fluency

This printable is coming soon!

#### NEXT LESSON➜

##### Looking for Multiplication/Division printables? Go Now→

Every Factivation!® lesson includes a wide variety of printable options, each designed for a specific purpose. The workpages, activities, and assessments provide targeted practice with the facts from the current lesson, deepening students’ understanding through repeated exposure and varied experiences with the same Addition facts.  Many also spiral back to review facts from previous lessons, while others connect the current focus facts to their Subtraction counterparts.

TRY FOR FREE! All highlighted pages are part of our Sample Lesson.

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Lesson Segment 1: CONCEPT BUILDING

See all printables for this segment.

Lesson Segment 2: ACCURACY BUILDING

See all printables for this segment.

Lesson Segment 3: FLUENCY BUILDING

See all printables for this segment.

Lesson Segment 4: APPLICATION

See all printables for this segment.

# Diagnostic Assessment & Progress Monitoring

## Pre/Post Assessment Tool

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Track overall fact mastery with the one-of-a-kind Factivation!® for Addition Pre/Post Assessment Tool. Easily diagnose fact gaps, prescribe needed lessons, and monitor progress.  Use as both formative and summative measures.

# Overall Assessment Tools Available: 1

# Concept Building Printables

### SAMPLE

Click image to enlarge.

### DESCRIPTION

The purpose of the Addition Concept Builders is to provide hands-on practice with Addition equations. Students examine addends and create models to demonstrate the quantity. This can be done concretely using small objects or counters. Alternatively, students may draw the quantities using symbols or tallies. The Addition Concept Builders include the following vocabulary: addendsum, and commutative (property).  Increase rigor and relevance for your students- Complete this activity with students working in partners or small groups to create a real-world example that will be presented to classmates.
# Concept Builders Available: 36 (About 4 per lesson)

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Lay the foundation for each lesson! Use the Adderpillar™ mat (and any available manipulatives) to give students hands-on experience building Addition facts.

PROCEDURE: Read Eric Carle’s The Very Hungry Caterpillar if available.  Explain to students that they have a very hungry adderpillar™  who likes to eat beans (adapt to fit your manipulatives).

Model: Write one of the current lesson’s focus facts on the board: 2 + 3 = ___ for example, and say, “When our adderpillar™ first woke up, he ate 2 beans.”  Point to the “2” in your equation and place 2 beans in the first section of the adderpillar’s body.

Say, “Our first addend is 2. By 10AM, he was hungry again and ate 3 more beans!”  (Point to the “3” in the  equation and place 3 beans in the second section of the adderpillar™. Say, “Our next addend is 3.”) Ask, “How many beans did he eat in all? What is the SUM?” To find the sum, students can use the third section of the adderpillar™ to deconstruct the fact into familiar parts.  For example: Students may already know 2+2=4, so by moving one bean into the third section of the adderpillar™, they can see and interpret this fact as 2+2+1. (Helping students learn to deconstruct facts in this manner allows them to solve unknown facts with more efficiency and deepens understanding of the concept of Addition.) Refer back to your equation and ask students to find the sum. Record. Continue modeling with more facts as needed.

Practice: Have students practice fact-building independently or with a partner using their Adderpillar™ mat and manipulatives.  Place the Adderpillar™ mat and manipulatives in a Math center for continued practice.

# Adderpillar™ Activities Available: 1 (Reuse with each lesson)

# Accuracy Building Printables

## Foldable Flipbooks

### SAMPLE

Click image to enlarge.

### DESCRIPTION

No need for flashcards!  All Addition facts may be practiced using the foldable flipbook with each Factivation!® lesson.  Store flipbook sets easily in a quart sized Ziploc and send home for nightly practice with a parent or sibling.  Students may cut and color (if not printed on colored card stock, as pictured).  Inside each flip book is a strategy prompt (from the accompanying Factivation!® video lesson), Addition focus facts and commutative counterparts.  Flaps keep answers covered, but flip up for easy self-checking of products.  Watch a student demonstration of simple flipbook folding here!

# Flipbooks Available: 12 (1 per lesson)

## Printable Game:  Linking Sums Game

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Perfect for Math Stations or as a purposeful indoor recess activity!  This printable game can also be sent home to play with family members.  Store easily in a gallon ziploc with playing pieces (about 10 each of 2 colors) and 2 paperclips.  The object is to answer Addition facts and get four sums in a row.  Strategize (by using algebraic thinking) to block opponents plays. This game provides endless opportunities to review the focus facts and commutative counterparts learned in each Factivation!® lesson.  Get full game instructions here.

# Linking Sums Games Available: 1

## Accuracy Assessment

### SAMPLE

Click image to enlarge.
(Pictured: Multiplication/Division)

### DESCRIPTION

Once students are demonstrating accurate recall of sums (with consistency), administer the Accuracy Assessment.  Have students fold paper into fourths.  You only need to use one section.  Find “Attempt #1” and allow a reasonable amount of time for students to complete.  REMEMBER: this assessment precedes the Fluency Building segment, so speed is not being measured.  If students are ready, move on to Segment 3: Fluency Building.  If not, SAVE the assessment, repeat the above, and administer “Attempt #2” when ready.

# Accuracy Assessments Available: 36 (1 per lesson, 4 per page)

## Progressive Assessment

### SAMPLE

Click image to enlarge.
(Pictured: Multiplication/Division)

### DESCRIPTION

Eliminate intimidation and build Mathematical confidence with the Factivation!® Progressive Assessments.  Like the Accuracy Assessment above, the Progressive Assessments do not test until it’s been addressed!  In other words, they assess only facts for which the student has received instruction.  Students answer all visible facts: those from the current and previous lessons.  Future facts are present, but hidden under the lesson name in which the fact will be taught.  Progressive Assessments are versatile.  Teachers may utilize the entire page, or save time and paper by using the top or bottom portion only.

#Progressive Assessments Available: 12 (1 per lesson)

# Fluency Building Printables

### SAMPLE

Click image to enlarge.
(Pictured: Multiplication/Division)

### DESCRIPTION

Each Factivation!® lesson includes an Addition (and Subtraction) Fluency Builder activity.  The purpose of this power printable is to build automaticity with this lesson’s focus facts. The same printable may be used daily to build fact fluency with the facts from the current lesson.  This activity may be done with student partners or in a “Race the Teacher” format, which students really enjoy!  It can also be completed with a partner or individually.

The NEW Speed Check Chart (see below) can accompany this printable to provide a research-based, highly motivational method of practice in which students chart their own progress from day to day.

More

Paper-saving tip: Print one Addition fluency builder per lesson and place under a page protector for repeated use with a dry erase marker!
# Addition Fluency Builders Available: 12 (1 per lesson, Repeated use as needed)

## Speed Check Chart (for Fluency Builder)

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Educational research has shown that one of the highest probable yield strategies for improving academic achievement is to have students track their own progress.  The Speed Check Chart allows students to do just that and was adapted from the “Student Speed Check” activity from interventioncentral.org.  Use it daily with your Fluency Builder activity to increase both speed and motivation.

# Speed Check Charts Available: 1 (Repeated use with ALL lessons)

## One-Minute Assessment

### SAMPLE

Click image to enlarge.
(Pictured: Multiplication/Division)

### DESCRIPTION

Looking for an incredibly quick way to determine lesson mastery? The Factivation!® One-Minute Assessments are designed to do just that! Fold the One-Minute Assessment page into fourths and direct students to “Attempt 1″. Allow 15 seconds per row for completion. (The assessment takes one minute total.) Assess mastery by looking at the “raised” 3-dimensional boxes. Spot-check the 2-D boxes (facts previously mastered) for retention. Circle “Pass or Try Again” at the top. If needed, save papers, reteach and move onto “Attempt 2″ when ready. The Factivation!® One-Minute Assessments provide teachers with an efficient, yet accurate assessment of understanding.

# One-Minute Assessments Available: 36 (1 per lesson, 4 per page)

# Application Printables

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Begin with a think-aloud when presenting the bottom portion of Logical Links pages…”Class, we learned in Lesson Eight that 5 + 7 = 12, so I know that 50 (5 tens) plus 70 (7 tens) is 120 (12 tens) – write 50 + 70 = 120 on the board and underline the 5, 7 and 12 in the addends and sum.  If possible, demonstrate using tens place value rods.  Knowing the basic fact, 5 + 7 = 12, helps me to calculate the sum of this larger problem using my brain!”  Repeat this procedure for the remaining mental math problems, as needed.

# Logical Links Available: 36 (4 per lesson)

## Subtraction Fluency Builder

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Each Factivation!® lesson includes an Addition (and Subtraction) Fluency Builder activity.  The purpose of this power printable is to build automaticity with this lesson’s focus facts. The same printable may be used daily to build fact fluency with the facts from the current lesson.  This activity may be done with student partners or in a “Race the Teacher” format, which students really enjoy!  It can also be completed with a partner or individually.

The NEW Speed Check Chart can accompany this printable to provide a research-based, highly motivational method of practice in which students chart their own progress from day to day.
More

Paper-saving tip: Print one Subtraction fluency builder per lesson and place under a page protector for repeated use with a dry erase marker!
# Subtraction Fluency Builders Available: 12 (1 per lesson, Repeated use as needed)

## Happy Equations

### SAMPLE

Click image to enlarge.

### DESCRIPTION

Designed to address CCSS 1.OA.D.7, the Happy Equations page that accompanies each lesson can be done individually (following instruction), in pairs or small groups (to generate Mathematical discussion among students), or as a whole class activity.

Increase Rigor and Engagement Using this Procedure:
Present one equation at a time and take a class vote on whether the equation is True or False.
If the class is in agreement, call on volunteers to prove their answer using drawings, modeling with objects, etc.
If the vote is not unanimous, call on volunteers to debate and defend their thinking (following foundation lessons on how to debate fairly and respectfully).
Arrive at a class consensus based on the “arguments” heard from both sides.
If the equation shown is TRUE, students create a happy equation by illustrating a smiling face next to it. If FALSE, an “X” is to be drawn in the circle instead.
The purpose of this activity is for students to understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. http://www.corestandards.org/Math/Content/1/OA/D/7/

# Happy Equations Pages Available: 12 (1 per lesson, Repeated use as needed)

SEE SAMPLE VIDEOS | GO TO MULTIPLICATION/DIVISION VIDEOS→

Factivation!® members enjoy unlimited access to our Math fact instructional video libraries.  Our Addition/Subtraction Video Library consists of 52 videos (4 per lesson + 4 Addition singalongs), each designed to deliver effective instruction and provide practice in all areas of Addition and Subtraction.

If you’re searching for a Math fact solution that offers engaging multimedia instruction and accompanying components to teach all areas of Addition/Subtraction (Concept Development, Accuracy Building, Fluency Building, & Application), then look no further.  Your solution is here at Factivation.com.

Check out the ADDITION/SUBTRACTION PRINTABLES LIBRARY→

## Factivation!® Aligns to State Standards

### Aligned to CCSS and Other State Standards!

Factivation!® ensures fluency while also providing educators with a variety of accompanying resources that promote in-depth examination of facts.

## Factivation & the RTI Process

RTI, or Response to Intervention, is a multi-tiered approach used by schools nationwide to identify and support the educational needs of all students.  Learn More.

The tiers are as follows:

• Tier 1: High-Quality Classroom Instruction, Screening, and Group Interventions
• Tier 2: Targeted Interventions
• Tier 3: Intensive Interventions and Comprehensive Evaluation

### Factivation!® can be used at all tiers to deliver effective Math fact instruction and/or intervention.

At Tier 1, teachers can used Factivation!® in a whole group setting for their “first, best” Math fact instruction.

## Reliable, Research-Based Math Fact Instruction

### Factivation!® uses researched, high-probable yield strategies to deliver results.

You may be familiar with the work of Dr. Robert Marzano, a leading researcher in the field of education. Dr. Marzano’s learning map, outlines 41 elements of effective classroom instruction, divided into 9 design questions (DQ).  Each falls under one of the following three lesson segments: Involving Routine Events, Addressing Content, Enacted on the Spot. Factivation!® correlates to many of the 41 identified classroom strategies