The #1 teaching tool for Math Facts!™

## Spring Boost Freebies

Multiplication Chants Bulletin Board Set

Article: How to Teach EVERY Multiplication Fact Using Brain-Compatible Strategies

## Schedule a Free Demo

Thank you for your interest in scheduling a Factivation!® demonstration. We’d love to visit with you in person about Factivation!® and what it can do for your school. Please fill out the form below. In the question/comment section, please include the name and location of your school. We’ll be in touch with you soon.

## Teacher Gift- One Year Membership

Your child’s teacher will LOVE this unique gift from Factivation.com– a one-year’s membership to our engaging, effective Math fact mastery program that can be done in just minutes/day! Factivation!® simplifies both the learning and teaching of all Math facts! Read teacher testimonials→

Please select which membership you prefer according to the guide below. Be sure to input account setup information for the teacher: his/her name, email address, and a password (which can be changed later). We’ll send notification including a “gift tag” with your name (or child’s name) as the sender.

3rd Grade Teachers- Multiplication/Division OR Complete Membership (includes all operations)

## Explore Lessons with our Clickable Math Fact Tables!

Wondering how Factivation!® covers ALL Math facts so simply and efficiently? The answer is in the groupings! Facts are divided into small brain-friendly, strategically-similar groups. This is different than the traditional manner in which facts are often introduced: in numerical order (0’s, 1’s, 2’s, 3’s, 4’s etc.), 10 facts at a time, often using rote techniques. Years of classroom experience proved these methods ineffective. Perhaps you’ve noticed that as well and that’s why you’re here! Our method provides strategy “hooks” for each fact set, allowing students to quickly build fact ACCURACY and then move into FLUENCY BUILDING. Here’s an example:

Lesson 6 (Multiplication/Division Program) teaches 7×6, 3×4, and 7×8 together because all are a part of the CHANT group. (A simple chant is taught for each of these facts that helps students easily recall their products. Some of the chants are similar so the above facts are grouped together for that reason.)

Only three facts per lesson? Yes, many of our lessons contain just three (non-intimidating!) facts for students to master. This leads to many happy, confident students who feel they CAN master all Math facts. If you’re wondering how we can address all 100 facts with such focused lessons, feel free to use our clickable tables below. You’ll see that each fact leads you to a lesson where the fact is addressed, either directly, as a commutative counterpart, or through a “representative” (a fact that uses the same strategy to produce the product/sum). Happy exploring!

## Explore Multiplication/Division Lessons

Factivation!® for Multiplication/Division teaches students ALL single-digit Multiplication and Division facts using four simple strategies: Rule, Trick, Chant, and Connection. Engaging video lessons provide kid-friendly, teacher-delivered instruction, while our many printable options offer the practice needed for students to quickly build fact fluency.  Our videos provide repeated exposure to Multiplication vocabulary, with an ongoing emphasis of the commutative property.  Division facts are taught in conjunction with their Multiplication counterparts, so students develop an understanding of the reciprocity of the operations and can achieve mastery of both simultaneously.Teachers around the world use Factivation to ensure 100% mastery of Math facts. It’s time to get your students fully factivated!

 X 0 1 2 3 4 5 6 7 8 9 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 2 0 2 4 6 8 10 12 14 16 18 3 0 3 6 9 12 15 18 21 24 27 4 0 4 8 12 16 20 24 28 32 36 5 0 5 10 15 20 25 30 35 40 45 6 0 6 12 18 24 30 36 42 48 54 7 0 7 14 21 28 35 42 49 56 63 8 0 8 16 24 32 40 48 56 64 72 9 0 9 18 27 36 45 54 63 72 81

Factivation!® for Addition/Subtraction teaches students ALL single-digit Addition and Subtraction facts using four simple strategies: Rule, Trick, Chant, and Connection. Engaging video lessons provide kid-friendly, teacher-delivered instruction, while our many printable options offer the practice needed for students to quickly build fact fluency.  Our videos provide repeated exposure to Addition vocabulary, with an ongoing emphasis of the commutative property.  Subtraction facts are taught in conjunction with their Addition counterparts, so students develop an understanding of the reciprocity of the operations and can achieve mastery of both simultaneously. Teachers around the world use Factivation to ensure 100% mastery of Math facts.  It’s time to get your students fully factivated!

 + 0 1 2 3 4 5 6 7 8 9 0 0 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 10 2 2 3 4 5 6 7 8 9 10 11 3 3 4 5 6 7 8 9 10 11 12 4 4 5 6 7 8 9 10 11 12 13 5 5 6 7 8 9 10 11 12 13 14 6 6 7 8 9 10 11 12 13 14 15 7 7 8 9 10 11 12 13 14 15 16 8 8 9 10 11 12 13 14 15 16 17 9 9 10 11 12 13 14 15 16 17 18

## TEACH Lesson 6: Fun Facts 1 (SAMPLE LESSON)

Quick Links: Multiplication/Division Home | LESSON 6 Preview

FACT FOCUS: 7×6, 3×4, 7×8 & associated Division facts
LEARNING GOAL: “I can automatically recall the product of 7×6, 3×4, 7×8 and commutative counterparts. I can use this knowledge to quickly find quotients of related Division facts, successfully solve Multiplication word problems, and fluently solve multi-digit problems using the standard algorithm.”

### LESSON COMPONENTS

1. PREVIEW LESSON 6

2. TEACH LESSON 6:

Factivation’s lesson progression uses research-based instructional practices to move students from initial understanding of the concept of Multiplication to accurate recall through memory-enhancing strategies and purposefully designed accuracy building activities. After accuracy is established, students begin timed, targeted fluency building. This brain-friendly, complete process prepares students to then apply facts, with automaticity, to larger Multiplication problems and problem solving scenarios. Factivation connects newly acquired facts to their Division 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: Multiplication 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 by using the Concept Mats & Arrays to give students hands-on experience with this lesson’s focus facts (see Fact Building Cards). Follow up each fact building session with a Multiplication Concept Builder. Place fact cards, concept mats, arrays, and recommended manipulatives in a Math center for continued independent practice.

Estimated Duration: 1-3 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### VISUAL AIDS

Project & discuss, then have students create their own!

Multiplication Models: 6.1 | 6.2 | 6.3

Multiplication Arrays: 6.1 | 6.2 | 6.3

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

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

#### FOLLOW-UP PRACTICE

Concept Builders 6.1-6.3 (Recommended)

Connect to Geometry!

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 Accuracy Builder. Monitor for consistent, correct (not automatic) recall. For additional practice throughout the day, engage students in class competitions with the accuracy building games. Assess and move onto Fluency Building (Segment 3) when students demonstrate readiness.

Estimated Duration: 2-5 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### FOLLOW-UP PRACTICE

Strategy Practice Pages 6.1-6.4 (More Support)

Accuracy Builders 6.1-6.2 (Less Support)

Great for centers and/or home use!

#### SMARTBOARD GAMES

Great for class competitions!

SEE LESSON 6 UNTIMED GAMES→

#### ASSESSMENTS

Accuracy Assessment 6 (Recommended)

Progressive Assessment 6- Form B (Optional)

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

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 3-minute Fast Facts video or engage students in class competitions with the fluency building games.

Estimated Duration: 2-5 days | Time/Lesson: 20 mins.

Video Instruction Supporting Resources

#### SMARTBOARD GAMES

Great for class competitions!

SEE LESSON 6 TIMED GAMES→

#### ASSESSMENTS

##### Printable

One-Minute Assessment 6 (Recommended)

Progressive Assessment 6- Form A (Optional)

##### Online Option

LESSON 6 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 Division video daily to provide repeated exposure to the reciprocity of Multiplication and Division. Follow up each video lesson with a Logical Links or Connectors page to give students practice in applying their knowledge of this lesson’s focus facts to their Division counterparts. Continue on to fluency-building with the lesson’s Division facts when students demonstrate readiness as per the Logical Links pages (see Division Fluency Builder). The motivating, research-based Speed Check Chart can be used with the Division fluency builder to track personal progress toward Division fluency goals.

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

Video Instruction Supporting Resources

#### APPLY FACTS TO RELATED DIVISION FACTS

##### Connect Multiplication Facts to Division

Connectors 6 (Optional)

##### Build Division Fluency

Division Fluency Builder 6 (Recommended)

##### Assess Division Fluency

This printable is coming soon!

#### APPLY FACTS TO MULTI-DIGIT MULTIPLICATION

This printable is coming soon!

## 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!