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Archdiocese of Newark Catholic Schools Curriculum Mapping · PDF file Archdiocese of Newark...

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  • Grade 4

    July 2014

    Archdiocese of Newark Catholic Schools

    Curriculum Mapping

    Curriculum mapping is a process that helps schools and districts/dioceses determine the “agreed-upon” learning for all students. Curriculum

    mapping was undertaken in the Archdiocese of Newark in order to ensure that a consistent, clearly articulated curriculum infused with Gospel values

    is being provided to all students in our schools. The curriculum maps for the Catholic schools of the Archdiocese of Newark identify the content to be

    taught and skills to be mastered at each grade level.

    The expertise and experience of the educators within our schools is the main source for determining the content and skills students will be expected

    to master. The Archdiocesan curriculum maps are developed through a collaborative process which involves individual teacher contributions, small

    group sessions and larger group meetings. Relevant educational standards, including those proposed by content area experts, the New Jersey Core

    Curriculum Content Standards, and the Common Core State Standards, are used as a resource in the curriculum mapping process. The resulting

    consensus maps reflect the collective thinking of classroom teachers based on their observation of student learning and their knowledge of

    educational practice and research. The Archdiocesan curriculum maps include teacher generated ideas for the infusion of Gospel values and faith

    connection activities.

    While the curriculum maps clearly articulate the expected learning for all students, individual teachers have the flexibility to teach the content and

    skills in their own manner by:

    utilizing their own particular strengths and teaching style

    addressing the varying learning needs of their students

    determining the order in which the content and skills are presented within a marking period

    including additional content and skills once students have met the learning expectations identified in the curriculum map

    Administrators at all levels will maintain the responsibility to ensure that teachers are following the curriculum maps and that appropriate teaching is

    being conducted. This will be done through a combination of classroom observations, faculty meetings, professional development opportunities and

    teacher evaluations, as well as by using various measurement tools, including but not limited to in-class and standardized testing. The Archdiocesan

    curriculum maps will help ensure the academic excellence that is integral to the mission of our Catholic schools and will provide educators and

    parents with a clear understanding of the learning expectations at each grade level.

  • Grade 4 7/2014

    Page 1

    Archdiocese of Newark Catholic Schools

    Curriculum Map for Mathematics

    Grade 4 First Trimester: September-November

    Standards Content Skills Assessment Gospel Values & Faith Connections

    4.NBT.1 Recognize that in a multi-digit

    whole number, a digit in one place

    represents ten times what it represents in

    the place to its right. Example:

    Recognize that 700 ÷ 70 = 10 by

    applying concepts of place value and

    division.

    4.NBT.2 Read and write multi-digit

    whole numbers using base-ten numerals,

    number names, and expanded form.

    Compare two multi-digit numbers based

    on meanings of the digits in each place,

    using >, =, and < symbols to record the

    results of comparisons.

    4.NBT.3 Use place value understanding

    to round multi-digit whole numbers to

    any place.

    4.NBT.S1 Locate, order, and compare

    whole numbers on a number line.

    4.NF.7 Compare two decimals to

    hundredths by reasoning about their size.

    Recognize that comparisons are valid

    only when the two decimals refer to the

    same whole. Record the results of

    comparisons with the symbols >, =, or

  • Grade 4 7/2014

    Page 2

    Archdiocese of Newark Catholic Schools

    Curriculum Map for Mathematics

    Grade 4 First Trimester: September-November

    Standards Content Skills Assessment Gospel Values & Faith Connections

    4.OA.3 Solve multi-step word problems

    posed with whole numbers and having

    whole-number answers using the four

    operations, including problems in which

    remainders must be interpreted.

    Represent these problems using

    equations with a letter standing for the

    unknown quantity. Assess the

    reasonableness of answers using mental

    computation and estimation strategies

    including rounding.

    4.NBT.4 Fluently add and subtract multi-

    digit whole numbers using the standard

    algorithm.

    4.OA.5 Generate a number or shape

    pattern that follows a given rule. Identify

    apparent features of the pattern that were

    not explicit in the rule itself.

    Addition:

    Millions –

    Thousandths

    Utilize addition properties

    and strategies:

    Commutative

    Associative

    Identity

    Demonstrate fluency with

    math facts of addition.

    Apply place value rules

    when aligning equations

    involving multi-digit

    addends.

    Compute addition with and

    without regrouping.

    Student created word

    problems

    Problem of the Day

    Online Math Programs

    Calculate costs of

    purchasing the items

    needed to prepare a meal

    for a family in need.

  • Grade 4 7/2014

    Page 3

    Archdiocese of Newark Catholic Schools

    Curriculum Map for Mathematics

    Grade 4 First Trimester: September-November

    Standards Content Skills Assessment Gospel Values & Faith Connections

    Subtraction;

    Millions –

    Thousandths

    Recognize patterns and

    functions within a series of

    numbers and/or equations.

    Utilize subtraction

    properties and strategies.

    Demonstrate fluency with

    math facts of subtraction.

    Apply place value rules

    when aligning equations

    involving multi-digit

    minuends and subtrahends.

    Compute subtraction with

    and without regrouping.

  • Grade 4 7/2014

    Page 4

    Archdiocese of Newark Catholic Schools

    Curriculum Map for Mathematics

    Grade 4 First Trimester: September-November

    Standards Content Skills Assessment Gospel Values & Faith Connections

    4.OA.1 Interpret a multiplication

    equation as a comparison (e.g., interpret

    35 = 5 × 7 as a statement that 35 is 5

    times as many as 7 and 7 times as many

    as 5). Represent verbal statements of

    multiplicative comparisons as

    multiplication equations.

    4.OA.2 Multiply or divide to solve word

    problems involving multiplicative

    comparison (e.g., by using drawings and

    equations with a symbol for the unknown

    number to represent the problem)

    distinguishing multiplicative comparison

    from additive comparison.

    4.NBT.5 Multiply a whole number of up

    to four digits by a one-digit whole

    number, and multiply two two-digit

    numbers, using strategies based on place

    value and the properties of operations.

    Illustrate and explain the calculation by

    using equations, rectangular arrays,

    and/or area models.

    4.OA.5 Generate a number or shape

    pattern that follows a given rule. Identify

    apparent features of the pattern that were

    not explicit in the rule itself.

    All students will gain familiarity with

    factors and multiples.

    Multiplication

    Utilize multiplication

    properties and strategies:

    Commutative

    Associate

    Identity

    Zero

    Distributive

    Demonstrate fluency within

    math facts of multiplication

    with factors of 0 – 12.

    Create models and arrays to

    find products.

    Recognize patterns and

    functions within a series of

    numbers and/or equations.

    Solve multiplication

    problems with various

    strategies.

    Apply place value rules

    when multiplying multi-

    digit numbers.

  • Grade 4 7/2014

    Page 5

    Archdiocese of Newark Catholic Schools

    Curriculum Map for Mathematics

    Grade 4 First Trimester: September-November

    Standards Content Skills Assessment Gospel Values & Faith Connections

    4.OA.4 Find all factor pairs for a whole

    number in the range 1–100. Recognize

    that a whole number is a multiple of each

    of its factors. Determine whether a given

    whole number in the range 1–100 is a

    multiple of a given one-digit number.

    Determine whether a given whole

    number in the range 1–100 is prime or

    composite.