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Good Morning and Welcome!BLt Collaborative staff training

Dec. 16, 2009

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Developing Fluency with the Basic Math Facts

Use relational thinking with properties and strategies to learn the Basic Math Facts

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Using Flashcards

Assumea = b = c = d =

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How do we want students to know their

Basic Facts?

Memorization vs.

Internalization

Think about it

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Apply the properties with understanding

• Cross off the facts on the table as you apply the properties and strategies.

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1- Constructing meaning

I can---• Build it• See it• Count it• Put it

together• Take it apart

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Constructing meaning with numbers 1-10

• +1, -1• Part-Part Whole• Anchors of 5 and 10• Visual patterns

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Visual Patterns- Quick Images

• ‘Instantly’ see how many

• Recognize a number pattern as a whole

• Recognize a number as having parts

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2- Making Number Relationships

• Connecting a quantity to numbers, symbols

• Using strategies -making a ten-doubles ,+1, -1-ten and some more• Applying properties

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Develop Fluency with Word Problems

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3-Working towards recall“I just know it.”

• Quick Recall of math facts• Maintenance of Facts• Use Mental Computation to

reinforce basic number combinations

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Playing the Games

• With a partner play one or more of the following games

• Compare, Double Compare• Five in a Row, Roll and Record• How many are Hiding, Make 10, Tens Go

Fish

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Strategy Card Sort

• To build number relationships, students sort cards into strategy categories.

• Individually put the addition expressions into similar categories, then check with a partner in your group.

• How can this help you remember math facts?

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Addition Card Categories

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Role of Math Games

Support •Fluency•Strategic Thinking•Range of Learners•Families

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Sequence of learning Addition and Subtraction

Grade Investigations1st grade

• Combinations that make 10

2nd grade

• Addition combinations to 10 + 10•Practice related Subtraction combinations

3rd grade

• Subtraction combinations to 20

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Assessment of the Facts

K-2 •Individual interviews

•Individual observation•Small Group observation

How many am I hiding?

Games, word problems

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Playing the Games 10-20Play one or more of the games to

practice fact fluency with the combinations to 20.• Chips• Plus 9 or 10• War• Double it Arrays

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10 Minute Break

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Multiplication and DivisionRead Multiplication and Division

Look for evidence of:1- Constructing Meaning2- Reasoning Strategies3-Working towards Recall

Discuss with your group what activities students would be doing in each of

these phases.

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Apply the properties with understanding

• Cross off the facts on the table as you apply the properties and strategies.

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Multiplication Quick Images

• ‘Instantly’ see how many

• Recognize a number pattern as a whole

• Recognize a number as having groups of, sets of

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Multiplication Quick Image Activity

• One person flashes a x quick image card for 3 seconds.

• How did you see it? Share with the group.• Take a quick image card and rewrite it,

using its parts.5 x 6 = (3 x 5) + (3 x 5)

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Array Cards-visual image

Read- Array

Cards InInvestigations

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Playing the Games-Arrays

Play one or more of the array games

• Count and Compare• Missing Factors• Small Array/Big Array

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Sequence of Learning Grades 3-5

Grade Investigations3rd grade Multiplication combinations with

products to 504th grade Multiplication with products to 12 x 125th grade related Division combinations to 12 x

12

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Suggested Sequence of Learning- Multiplication• Read the Multiplication Combinations

sequence of learning.• How can this sequence support relational

thinking?• Discuss ways you have sequenced

learning the multiplication facts?

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Assessment of the Facts in Investigations Gr. 3-5

Group Assessments

•Addition•Subtraction•Multiplication•Division

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Playing the Games-Multiplications

Play one or more of the multiplication games.• How many rows, stacks, cups?• How many rows? In each row?• Circles and Stars?

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Students taking ownership

Students engaged together in ‘doing math’• Sharing strategies• Listening• Working collaboratively• Talking

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Many opportunities to PRACTICE

Day-to-day teaching of curriculum

• focused mini-lesson, numbertalks• games and activities• homework, practice pages• word problems

Make learning meaningful and engaging

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Developing Fluency with the Facts

Memorization Internalization