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    Home / Transition Guides

    Transition Guides

    This Guide, and its accompanying worksheets, is a resource for teachers to help students transition to the Dimensions Math® curriculum.

    The Dimensions Math curriculum closely follows the syllabus used in Singapore. The sequence is different in some areas from most U.S. math curricula. Some topics or concepts are introduced earlier than they are in U.S. math curricula to allow a foundation that is built on in later grades. This difference in sequence makes the transition into Dimensions Math from a typical U.S. math curriculum somewhat challenging. Dimensions Math includes some review of concepts covered previously between levels, but this review is not always adequate for students who have not yet encountered the topic. In addition, there are more mental math strategies in the Dimensions Math curriculum and the word problems tend to be more challenging than those in other curricula.

    This Guide is not a reteach resource for all topics. It focuses on areas where there is a potential for gaps in student understanding. To add the least amount of additional material to the school year, it includes suggestions for how to incorporate topics in the existing Dimensions Math lessons where feasible. It should be used in conjunction with the Dimensions Math Teacher’s Guides.

    This Guide starts with a general overview of the topics that will likely cause the most difficulty for transitioning students. 

    The Overview is followed by Teaching Notes and Suggestions, organized by grade level, chapter, and lesson. These may be as simple as suggestions on how you can expand on the lesson in the Textbook, or they may provide a specific transition lesson. Read them ahead of time as part of your preparation for the lesson, along with the material in the Teacher’s Guide. 

    Specific transition lessons themselves come after the notes and teaching suggestions.

    The worksheets for the transition lessons are available to print as you need.

    Use this Guide and the worksheets as a resource, only following the suggestions and doing the transition lessons that are useful in your situation.

    • Overview
    • 2A
    • 2B
    • 3A
    • 3B
    • 4A
    • 4B
    • 5A
    • 5B
    • Overview
    • 2A
    • 2B
    • 3A
    • 3B
    • 4A
    • 4B
    • 5A
    • 5B

    Overview

    Mental Math for Addition and Subtraction | Download PDF
    Multiplication and Division of Whole Numbers | Download PDF
    Bar Models | Download PDF
    Fractions | Download PDF
    Decimals | Download PDF
    Money | Download PDF
    Time | Download PDF
    Geometry | Download PDF

    Notes and Teaching Suggestions:

    Chapter 1 Numbers to 1,000 | Download PDF
    Chapter 2 Addition and Subtraction — Part 1 | Download PDF
    Chapter 3 Addition and Subtraction — Part 2 | Download PDF

    Transition Guide Lessons:

    2A.2.1 – Add to 20 | Download PDF
    2A.2.2 – Subtract Within 20 | Download PDF

    Worksheets:

    2A.2.1 – Add to 20 | Download PDF
    2A.2.2 – Subtract Within 20 | Download PDF

    Notes and Teaching Suggestions

    Chapter 8 Mental Calculation | Download PDF
    Chapter 12 Time | Download PDF

    Transition Guide Lessons

    2B.12.1 — Tell Time to the Five Minutes | Download PDF

    Worksheets

    2B.12.1 — Tell Time to the Five Minutes | Download PDF

    Notes and Teaching Suggestions

    Chapter 2 Addition and Subtraction — Part 1 | Download PDF
    Chapter 3 Addition and Subtraction — Part 2 | Download PDF
    Chapter 4 Multiplication and Division | Download PDF

    Transition Guide Lessons

    3A.2.1 — Add Ones or Tens | Download PDF
    3A.2.2 — Add Tens and Ones | Download PDF
    3A.2.3 — Subtract Ones or Tens | Download PDF
    3A.2.4 — Subtract Tens and Ones | Download PDF
    3A.3.1 — The Addition Algorithm | Download PDF
    3A.3.2 — The Subtraction Algorithm | Download PDF
    3A.4.2A — Multiplication Facts of 2 | Download PDF
    3A.4.2B — Multiplication Facts of 5 and 10 | Download PDF
    3A.4.2C — Multiplication Facts of 3 | Download PDF
    3A.4.2D — Multiplication Facts of 4 | Download PDF
    3A.4.2E — Multiplication Practice for 2, 3,
    4, 5, and 10 | Download PDF
    3A.4.3 — Division Practice for 2, 3, 4, 5,
    and 10 | Download PDF
    3A.4.5 — Remainder Practice for 2, 3, 4, 5,
    and 10 | Download PDF

    Worksheets

    3A.2.1 — Add Ones or Tens | Download PDF
    3A.2.2 — Add Tens and Ones | Download PDF
    3A.2.3 — Subtract Ones or Tens | Download PDF
    3A.2.4 — Subtract Tens and Ones | Download PDF
    3A.3.1 — The Addition Algorithm | Download PDF
    3A.3.2 — The Subtraction Algorithm | Download PDF
    3A.4.2A — Multiplication Facts of 2 | Download PDF
    3A.4.2B — Multiplication Facts of 5 and 10 | Download PDF
    3A.4.2C — Multiplication Facts of 3 | Download PDF
    3A.4.2D — Multiplication Facts of 4 | Download PDF
    3A.4.2E — Multiplication Practice for 2, 3,
    4, 5, and 10 | Download PDF
    3A.4.3 — Division Practice for 2, 3, 4, 5,
    and 10 | Download PDF
    3A.4.5 — Remainder Practice for 2, 3, 4, 5,
    and 10 | Download PDF

    Notes and Teaching Suggestions

    Chapter 9 Fractions — Part 1 | Download PDF
    Chapter 14 Time | Download PDF
    Chapter 15 Money | Download PDF

    Transition Guide Lessons

    3B.14.1 — Tell Time to the Minute | Download PDF

    Worksheets

    3B.14.1 — Tell Time to the Minute | Download PDF

    Notes and Teaching Suggestions

    Chapter 1 Numbers to One Million | Download PDF
    Chapter 2 Addition and Subtraction | Download PDF
    Chapter 3 Multiples and Factors | Download PDF
    Chapter 4 Multiplication | Download PDF
    Chapter 5 Division | Download PDF
    Chapter 6 Fractions | Download PDF

    Transition Guide Lessons

    4A.1.7A — Strategies for Multiplication and
    Division | Download PDF
    4A.1.7B — Multiplication Practice for 6, 7,
    8, and 9 | Download PDF
    4A.1.7C — Division Practice for 6, 7, 8, and 9 | Download PDF
    4A.2.3 — Subtract from Hundreds or Thousands | Download PDF
    4A.2.4A — Add Numbers Close to Tens or
    Hundreds | Download PDF
    4A.2.4B — Subtract Numbers Close to Tens or Hundreds | Download PDF
    4A.2.5 — Bar Models — Part 1 | Download PDF
    4A.3.1A — Multiply Tens and Ones | Download PDF
    4A.3.1B — Division with Remainders | Download PDF
    4A.3.1C — Division — Part 1 | Download PDF
    4A.3.1D — Multiplication Practice — Mental Math | Download PDF
    4A.3.1E — Remainder Practice for 6, 7, 8, and 9 | Download PDF
    4A.3.1F — Division Practice — Mental Math | Download PDF
    4A.4.2 — Multiply Three-Digit Numbers | Download PDF
    4A.5.1 — Bar Models — Part 2 | Download PDF
    4A.5.2 — Division — Part 2 | Download PDF
    4A.6.1 — Equivalent Fractions | Download PDF

    Worksheets

    4A.1.7A — Strategies for Multiplication and
    Division | Download PDF
    4A.1.7B — Multiplication Practice for 6, 7,
    8, and 9 | Download PDF
    4A.1.7C — Division Practice for 6, 7, 8, and
    9 | Download PDF
    4A.2.3 — Subtract from Hundreds or Thousands
    | Download PDF
    4A.2.4A — Add Numbers Close to Tens or
    Hundreds | Download PDF
    4A.2.4B — Subtract Numbers Close to Tens or
    Hundreds | Download PDF
    4A.2.5 — Bar Models — Part 1 | Download PDF
    4A.3.1A — Multiply Tens and Ones | Download PDF
    4A.3.1B — Division with Remainders | Download PDF
    4A.3.1C — Division — Part 1 | Download PDF
    4A.3.1D — Multiplication Practice — Mental
    Math | Download PDF
    4A.3.1E — Remainder Practice for 6, 7, 8, and
    9 | Download PDF
    4A.3.1F — Division Practice — Mental Math | Download PDF
    4A.4.2 — Multiply Three-Digit Numbers | Download PDF
    4A.5.1 — Bar Models — Part 2 | Download PDF
    4A.5.2 — Division — Part 2 | Download PDF
    4A.6.1 — Equivalent Fractions | Download PDF

    Notes and Teaching Suggestions

    Chapter 15 Angles | Download PDF

    Transition Guide Lessons

    4B.15.1 — Angles | Download PDF

    Worksheets

    4B.15.1 — Angles | Download PDF

    Notes and Teaching Suggestions

    Chapter 1 Whole Numbers | Download PDF
    Chapter 2 Writing and Evaluating Expressions | Download PDF
    Chapter 4 Addition and Subtraction of Fractions | Download PDF

    Transition Guide Lessons

    5A.1.1A — Add or Subtract Numbers Close to
    Thousands | Download PDF
    5A.1.1B — Mental Math for Multiplication | Download PDF
    5A.1.1C — Mental Math for Division | Download PDF
    5A.2.4 — Subtract from Ten Thousands | Download PDF
    5A.4.1 — Fractions and Division | Download PDF

    Worksheets

    5A.1.1A — Add or Subtract Numbers Close to
    Thousands | Download PDF
    5A.1.1B — Mental Math for Multiplication | Download PDF
    5A.1.1C — Mental Math for Division | Download PDF
    5A.2.4 — Subtract from Ten Thousands | Download PDF
    5A.4.1 — Fractions and Division | Download PDF

    Notes and Teaching Suggestions

    Chapter 9 Decimals | Download PDF
    Chapter 10 The Four Operations of Decimals | Download PDF
    Chapter 11 Geometry | Download PDF

    Transition Guide Lessons

    5B.9.1 — Fractions and Decimals | Download PDF
    5B.10.1 — Add and Subtract Decimals Using
    Mental Math | Download PDF
    5B.10.3 — Multiply a Decimal by a Whole
    Number | Download PDF
    5B.11.1A — Using a Compass | Download PDF
    5B.11.1B — Measuring Angles | Download PDF

    Worksheets

    5B.9.1 — Fractions and Decimals | Download PDF
    5B.10.1 — Add and Subtract Decimals Using
    Mental Math | Download PDF
    5B.10.3 — Multiply a Decimal by a Whole
    Number | Download PDF
    5B.11.1A — Using a Compass | Download PDF
    5B.11.1B — Measuring Angles | Download PDF
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