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    Houghton Mifflin Harcourt

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    Why Math In Focus

    Key Instructional Strategies

    Implementation of Math in Focus

    Technology

    Bar Modeling

    PB 2

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    Why Math in

    Focus?Understanding

    SingaporesMethodology

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    Because the mathematics concepts in U.S. textbooks areoften weak, the presentation becomes more mechanicalthan is ideal. We looked at both traditional and non-traditional textbooks used in the U.S. and found this

    conceptual weakness in both.

    Ginsberg et. al.

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    Top Scoring Nation for

    15 years!

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    Why Math inFocus?

    UnderstandingSingapores

    MethodologyShare one fact

    with your neighbor!

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    Key Instructional

    Strategies:Essential tools

    for instruction

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    Key Instructional Strategies:

    Visualization

    MathAs

    Thinking

    p. 19

    Concrete-Pictorial-Abstract Pedagogy

    3+ 1= 4

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    whole

    Number Bonds

    Base Ten BlocksTen Frames

    Place Value Disks

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    5

    4 1

    9 + 5 =

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    Whole

    PartPart

    Concrete -> Pictorial -> Abstract

    Number Bonds

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    How many mathematical concepts can be taught

    with these tools and models?

    Concrete -> Pictorial -> Abstract

    Math Balance & Number Bonds

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    You made some cupcakes. After your dad eats afew, you have 15 left.

    Then your brother and his friends come in and eat 8

    of them!Build 15 using ten frames. Then take 8 away.

    Lets Try It!

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    Concrete -> Pictorial -> Abstract

    Base Ten Blocks

    1. Build 1432. Build 813. Add them together

    Second Grade Addition

    Numbers are adjectives!

    Notice systematic variation in problem sets!

    PB

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    Part Part

    Comparison

    EqualParts

    PB 21Bar Models

    What operations could go with each?

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    Show relationships pictorially

    Illustrate the known and unknown

    Make writing the equations easier

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    Bar Modeling

    Starts inSecond Grade!

    PB

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    Kevin scores 78 points in the first game he bowls. He scores85 points in the second game. How many points does Kevinscore for both games?

    Jordan and Ling have 472 trading cards. Ling has 178 trading

    cards. How many trading cards does Jordan have?

    PB 22

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    MathAs

    Thinking

    Arrange digits 1-6 to

    create sums of 10 on

    each side of the triangle.

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    Key InstructionalStrategies:

    Essential tools for instruction!Share one fact about eachstrategy with your neighbor!

    ( C.P.A., Visualization, Math as Thinking)

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    Implementation

    of Math in Focusin our classrooms

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    Imple

    menta

    tionGu

    ide

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    Book A & B (teacher and student edition)

    Workbook A & B

    p. 6,7

    p. 4

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    Struggling On-Level Advanced

    Reteach Extra Practice Enrichment

    Components for Differentiation

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    AdditionalProgram Components

    PB 6PB 6

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    DirectInstruction

    GuidedPractice

    IndependentPractice

    PB 6PB 6

    Lesson Structure

    Gradual ReleaseOngoing Assessment

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    p.19p.21. 22Technology

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    www.hmhelearning.com

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    Implementation

    of Math in Focusin our classrooms

    Share one fact withyour neighbor!

    Learning Outcomes

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    Learning Outcomes

    Understand and Use the SingaporePhilosophya Focused, Coherent Curriculum

    Experience Key Instructional Strategies CPA,Visualization, Math and Math as Thinking

    Appreciate the Math in Focus ResourcesMathComponents, Manipulatives, and Technology