Unit 1: Numeration - St Cyril Elementary Maps/Math 3rd grade.pdfGrade 3 Mathematics 2012-2013 ... Summative Assessment: - Chapter test ... and three-digit whole numbers to the nearest ten

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  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    Unit 1: Numeration

    Total Time (with summative assessment): 11 days

    Performance Assessment: SWBAT use data from a trip to answer questions about planning a vacation.

    Lesson Topic/

    Mastery?

    Objective Resources Assessment Standards Unit Concept Timeline

    1. Hundreds

    Master

    Students will read and

    write numbers in the

    hundreds.

    1. enVision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    3. Math Manipulatives

    4. Interactive Center activities

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class assignments

    and quizzes

    -Leveled homework

    Summative Assessment:

    - Chapter test

    Review 2.NBT.1 2- Place Value 1 day

    2. Thousands

    Teach

    Students will read and

    write numbers in the

    thousands.

    (See above) (See above) Prepares for 4.NBT.1 2- Place value 1 day

    3. Greater

    Numbers

    Teach

    Students will read and

    write numbers in the ten

    and hundred thousands.

    (See above) (See above) Prepares for 3.NBT.1 and

    3.NBT.2

    2-Place Value 1 day

    4. Ways to

    Name Numbers

    Master

    Students will use ordinal

    numbers to show the order

    of people or objects. They

    will name numbers in

    different ways.

    (See above) (See above) Prepares for 4.NBT.2

    2- Place Value 1 day

    5. Comparing

    Numbers

    Master

    Students will compare 3-

    digit and 4-digit whole

    numbers.

    (See above) (See above) 3.NBT.1

    Use place value understanding

    to round whole numbers to the

    nearest 10 or 100.

    2-Place Value 1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    6. Ordering

    Numbers

    Master

    Students will order 3-digit

    and 4-digit whole numbers.

    (See above) (See above) 3.NBT.1 2-Place Value 1 day

    7. Counting

    Money

    Teach

    Students will find the value

    of money, including $5 and

    $1 bills, half dollars,

    quarters, dimes, nickels

    and pennies.

    (See above) (See above) Reviews 2.MD.8

    2- Place Value 1 day

    8. Making

    Change

    Teach

    Students will use coins and

    bills to figure out the

    change hey should receive

    after purchasing an item.

    (See above) (See above) Reviews 2.MD.8 2- Place Value 1 day

    9. Problem

    Solving: Make

    an Organized

    List

    Teach

    Students will make an

    organized list to represent

    information given in a

    problem.

    (See above) (See above) 3.NBT.1 2- Place Value 1 day

    Unit 2: Adding Whole Numbers

    Total Time (with summative assessment): 12 days

    Performance Assessment: SWBAT analyze data and plan a route for the class using a map and distances of routes.

    Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

    1. Addition

    Meaning and

    Properties.

    Students use concrete

    materials and concepts of

    addition to model the

    Communicative,

    Associative, and Identity

    1. enVision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class assignments

    3.OA.9

    Identify arithmetic patterns

    (including patterns in the

    addition table or multiplication

    table), and explain them using

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013 Master

    Properties of Addition.

    3. Math Manipulatives

    4. Interactive Center activities

    and quizzes

    -Leveled homework

    Summative Assessment:

    - Chapter test

    properties of operations.

    3.NBT.2

    Fluently add and subtract

    within 1000 using strategies

    and algorithms based on place

    value, properties of operations,

    and/or the relationship between

    addition and subtraction.

    2. Adding on a

    Hundred Chart

    Master

    Students use a hundred

    chart to add two-digit

    numbers and develop

    mental math strategies.

    (See above) (See above) 3.OA.9 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    3. Using Mental

    Math to Add

    Teach

    Students solve problems by

    adding with mental math.

    (See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    4. Rounding

    Master

    Students round two-digit

    and three-digit whole

    numbers to the nearest ten

    or hundred by comparing

    to the number halfway

    between or by using place

    value.

    (See above) (See above) 3.NBT.1

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    5. Estimating

    Sums

    Teach

    Students solve problems by

    estimating sums.

    (See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    6. Adding 2-

    Digit Numbers

    Teach

    Students add 2-digit

    numbers using paper-and-

    pencil methods and use

    addition to solve problems.

    (See above) (See above) 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    7. Models for

    Adding 3-Digit

    Numbers

    Students add 3-digit

    numbers using place-value

    blocks or pictures and

    record the results using the

    (See above) (See above) 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    Teach

    standard addition

    algorithm.

    8. Adding 3-

    Digit Numbers

    Teach

    Students add 3-digit

    numbers using paper-and-

    pencil methods and use

    addition to solve problems.

    (See above) (See above) 3.NBT.1

    3.NBT.2

    3.OA.8

    Solve two-step word problems

    using the four operations.

    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.

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    9. Adding 3 or

    More Numbers

    Check

    Students add 3 or more 2-

    and/or 3-digit numbers

    using paper-and-pencil

    methods and use addition

    to solve problems.

    (See above) (See above) 3.NBT.2

    3.OA.8

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    10. Problem

    Solving: Draw a

    Picture

    Teach

    Students draw a picture to

    solve a problem.

    (See above) (See above) 3.NBT.2

    3.OA.8

    3.MD.3

    Draw a scaled picture graph

    and a scaled bar graph to

    represent a data set with several

    categories Solve one-and two-

    step how many more and

    how many less problems

    using information presented in

    scaled bar graphs.

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    Unit 3: Subtraction Number Sense

    Total Time (with summative assessment): 7 days

    Performance Assessment: SWBAT examine data in a shopping list and answer questions regarding the supplies needed for the school carnival.

    Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

    1. Subtraction

    Meanings

    Master

    Students recognize

    situations when

    subtraction is used to

    solve a problem and

    write number sentences.

    1. enVision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    3. Math Manipulatives

    4. Interactive Center activities

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class assignments

    and quizzes

    -Leveled homework

    Summative Assessment:

    - Chapter test

    Reviews 2.OA.5 and 2.NBT.5

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    2. Subtracting on a

    Hundred Chart

    Master

    Students will use a

    hundred chart to subtract

    2-digit numbers and

    develop mental math

    strategies.

    (See above) (See above) Reviews 2.OA.5 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    3. Using Mental

    Math to Subtract

    Teach

    Students will solve

    problems by subtracting

    with mental math.

    (See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    4. Estimating

    Differences

    Teach

    Students will solve

    problems by estimating

    differences.

    (See above) (See above) Prepares for 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    5. Problem

    Solving:

    Reasonableness

    Teach

    Students will solve word

    problems and check their

    answers for

    reasonableness.

    (See above) (See above) 3.NBT.2

    3.OA.8

    3- Multiplication

    and Division

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    Unit 4: Subtracting Whole Numbers to Solve Problems

    Total Time (including summative assessment): 8 days

    Performance Assessment: SWBAT examine data given about tickets and prizes at a video arcade, and make a prize log to show the amount of tickets

    they would have left after purchasing certain prizes.

    Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

    1. Models for

    Subtracting 2-

    Digit Numbers

    Teach

    Students subtract 2-digit

    numbers using place-value

    blocks or pictures and

    record the results using the

    standard subtraction

    algorithm.

    1. enVision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    3. Math Manipulatives

    4. Interactive Center activities

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class assignments

    and quizzes

    -Leveled homework

    Summative Assessment:

    - Chapter test

    3.NBT.2

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    2. Subtracting 2-

    Digit Numbers

    Teach

    Students subtract 2-digit

    numbers using paper-and-

    pencil methods and use

    subtraction to solve

    problems.

    (See above) (See above) 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    3. Models for

    Subtracting 3-

    Digit Numbers

    Teach

    Students subtract 3-digit

    numbers using place-value

    blocks or pictures and

    record the results using the

    standard subtraction

    algorithm .

    (See above) (See above) 3.NBT.2

    3.OA.8

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    4. Subtracting 3-

    Digit Numbers

    Teach

    Students subtract 3-digit

    numbers using paper- and-

    pencil methods and use

    subtraction to solve

    problems.

    (See above) (See above) 3.NBT.2

    3.OA.8

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

    5. Subtracting

    Across Zero

    Students subtract 3-digit

    numbers using paper-and-

    pencil methods and use

    (See above) (See above) 3.NBT.2 1- Multi-Digit

    and Multi-Step

    addition and

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013

    Unit 5: Multiplication Meanings and Facts

    Total Time (including summative assessment): 12 days

    Performance Assessment: SWBAT compare data regarding boxes of cards and the price of each box, and use the information to decide how many

    boxes they need to sell to raise money for the soccer team.

    Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

    1. Multiplication

    as Repeated

    Addition

    Teach

    Students will write

    multiplication number

    sentences for given

    equal group situations,

    using the X symbol.

    1. nvision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    3. Math Manipulatives

    4. Interactive Center activities

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class assignments

    and quizzes

    -Leveled homework

    Summative Assessment:

    - Chapter test

    3.OA.1

    Interpret products of whole

    numbers.

    3.OA.3

    Use multiplication and division

    within 100 to solve word

    problems in situations

    involving equal groups, arrays

    and measurement quantities.

    3.OA.5

    Apply properties of operations

    as strategies to multiply and

    divide.

    3- Fluency in

    Multiplication

    and Division

    1 day

    2. Arrays and

    Multiplication

    Students will write

    multiplication sentences

    for arrays, use arrays to

    find products, and use

    (See above) (See above) 3.OA.1

    3.OA.3

    3- Fluency in

    Multiplication

    and Division

    1 day

    Teach

    subtraction to solve

    problems.

    subtraction.

    6. Problem

    Solving: Draw a

    Picture and

    Write a Number

    Sentence

    Teach

    Students solve problems

    by writing a number

    sentence based on a

    picture they have drawn

    describing the problem.

    (See above) (See above) 3.NBT.1

    3.OA.8

    3.MD.3

    1- Multi-Digit

    and Multi-Step

    addition and

    subtraction.

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013 Teach the Commutative

    Property of

    Multiplication.

    3.OA.4

    Determine the unknown whole

    number in a multiplication or

    division equation relating three

    whole numbers.

    3.OA.5

    Apply properties of operations

    as strategies to multiply and

    divide.

    3.OA.9

    3.MD.7.b

    Multiply side lengths to find

    areas of rectangles with whole-

    number side lengths in the

    context of solving real world

    and mathematical problems,

    and represent whole-number

    products as rectangular areas in

    mathematical reasoning.

    3. Using

    Multiplication to

    Compare

    Teach

    Students will use models

    and write multiplication

    sentences to compare

    amounts.

    (See above) (See above) 3.OA.1

    3.OA.3

    3- Fluency in

    Multiplication

    and Division

    1 day

    4. Writing

    Multiplication

    Stories

    Teach

    Students will write math

    stories for given

    multiplication facts.

    (See above) (See above) 3.OA.1

    3.OA.3

    3.OA.5

    3- Fluency in

    Multiplication

    and Division

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013 5. Problem

    Solving: Writing

    to Explain

    Teach

    Students will use

    objects, words, pictures,

    numbers, and

    technology to provide a

    written explanation

    reflecting their

    understanding.

    (See above) (See above) 3.OA.1

    3.OA.3

    3.OA.5

    3.OA.9

    3- Fluency in

    Multiplication

    and Division

    1 day

    6. 2 and 5 as

    Factors

    Teach

    Students will use

    patterns to multiply with

    2 and 5 as factors.

    (See above) (See above) 3.OA.3

    3.OA.9

    3- Fluency in

    Multiplication

    and Division

    1 day

    7. 10 as a Factor

    Teach

    Students will use

    patterns to multiply with

    10 as a factor.

    (See above) (See above) 3.NBT.3

    Multiply one-digit whole

    numbers by multiples of 10 in

    the range 10-90 using strategies

    based on place value and

    properties of operations.

    3.OA.3

    3.OA.8

    3.OA.9

    3- Fluency in

    Multiplication

    and Division

    1 day

    8. 9 as a Factor

    Teach

    Students will use

    patterns to multiply with

    9 as a factor.

    (See above) (See above) 3.OA.3

    3.OA.7

    Fluently multiply and divide

    within 100 using strategies such

    as the relationship between

    multiplication and division or

    properties of operations. By

    the end of grade 3, know from

    memory all products of two

    one-digit numbers.

    3.OA.8

    3.OA.9

    3- Multiplication

    and Division

    1 day

  • Kirsten Orlovsky

    Grade 3 Mathematics

    2012-2013 9. Multiplying

    with 0 and 1

    Teach

    Students will use

    patterns and properties

    to multiply with 0 and 1

    as factors.

    (See above) (See above) 3.OA.3

    3.OA.9

    3- Fluency in

    Multiplication

    and Division

    1 day

    10. Problem

    Solving: Two-

    Question Problems

    Teach

    Students will solve for

    one problem and use the

    solution to complete a

    second problem.

    (See above) (See above) 3.OA.3

    3.OA.8

    3- Fluency in

    Multiplication

    and Division

    1 day

    Unit 6: Multiplication Facts: Use Known Facts

    Total Time (including summative assessment): 9 days

    Performance Assessment: SWBAT use bake sale information and apply their knowledge of multiplication to solve problems.

    Lesson Topic Objective Resources Assessment Standards Unit Concept Timeline

    1. 3 as a Factor

    Teach

    Students will use known

    facts to find products with

    3 as a factor.

    1. enVision Math book

    (student and teacher editions)

    2. Pearson interactive learning

    videos

    3. Math Manipulatives

    4. Interactive Center activities

    Formative Assessments:

    - Student responses to

    teacher

    questions/problems

    - In-class ass

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