Q2 3rd Grade Math Pacing Guides SY 2016-17

Q1

SY 17-18

Q2

SY 16-17

Q3

SY 16-17

Q4

SY 16-17

  • Module Tip Sheet for Parents

    These documents provide parents an opportunity to see what their children are learning in the current module including:

    • Standards
    • Key vocabulary
    • Example Problems
    • Pictorial Models
    • Ideas for how to can help children at home
    • Coherence of learning with past and future modules

    For guides in Spanish, go here

  • Week 1: November 7

    Module

    2

    Topic

    D

    Lesson

    15

    16

    Standards Addressed in Week's Lessons

    Topic D

    3.NBT.1

    3.MD.1

    3.MD.2

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 15

    Lesson 16

    Notes:

    Lesson 15

    Students use the words "bundle" and 'rename" as they add like base ten units, working across the numbers unit by unit (ones with ones, tens with tens, hundreds with hundreds). During concept development, students move from modeling to the standard algorithm for the first time.

     

    Lesson 16

    Students begin with modeling on place value chart again and move to standard algorithm. Problem set sample does not suggest standard algorithm for most problems. Make sure to consider different methods for different problems in advance.

     

  • Week 2: November 14

    Module

    2

    Topic

    D

    E

    Lesson

    17

    18

    19

    21

     Assessment

    Biweekly #1 from lesson 17 Exit Ticket

    Standards Addressed in Week's Lessons

    Topic D

    3.NBT.1

    3.MD.1

    3.MD.2

    Topic E

    3.NBT.2

    3.MD.1

    3.MD.2

    Notes:

    Lesson 17

    In this rounding and reasonableness lesson, students are asked to round to the nearest ten, hundred and fifty. Rounding to the nearest fifty is a 4th grade standard, and can be highlighted for advanced learners, and skipped for other students if necessary.

     

    Lesson 18

    Consider color-coding place values while decomposing with subtraction during concept development. For example, hundreds could be red and tens could be blue. In problem set, numbers are written horizontally so students don't think a problem has to be vertical to use their standard algorithm tool.

     

    Lesson 19

    Consider giving students sentence starters for debrief question #2 to help them articulate their processes. Suggested sentence starters included in teacher guide.

     

    Lesson 20 Omit

    Omit lesson for pacing consideration. Skills in lesson 20 have been previously introduced and practiced.

     

    Lesson 21

    Many materials necessary for concept development, read directions in teacher guide carefully (per group): digital scale, pre-measured rice, pre-measured beans, meter stick, yarn, beaker, containers for liquid.

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 17

    Lesson 18

    Lesson 19

    Lesson 21

  • Week 3: November 21

    Module

    2

     Assessment

    End-of-Module Assessment: administer after lesson 21

    Standards Addressed in Assessment

    End of Module

    3.NBT.1

    3.NBT.2

    3.MD.1

    3.MD.2

    3.OA.7

    Notes:

    One day has been provided this week for End-of-Module Assessment

     

  • Week 4: November 28

    Module

    3

    Topic

    A

    B

    Lesson

    1

    2

    3

    4

     Assessment

    Biweekly #2 from lesson 4 Exit Ticket

    Standards Addressed in Week's Lessons

    Topic A

    3.OA.4

    3.OA.5

    3.OA.7

    3.OA.9

    Topic B

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    Notes:

    Lesson 1

    Application problem needs to be discussed as it leads directly into the concept development discussion.

     

    Lesson 2

    Consider starting with cubes in concept development section and then moving to pictorial modeling. Emphasize question #4 in student debrief.

     

    Lesson 3

    Before the concept development, provide a few simple examples of an "unknown" to make this meaning clear. For example, "3 + 3 = H. Since we know 3 + 3 is 6, we know that H must be 6." This lesson intentionally uses facts from Module 1 so students are fairly automatic with facts, facilitating the focus on finding the unknown in this lesson.

     

    Lesson 4

    To encourage students to apply the distributive property, adjust the numbers in the Application Problem. For example, a student above grade level may mentally solve 6 times 6 yet choose to use the distributive property to multiply 6 times 13. Student debrief encourages student connections to application and fluency components.

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 1

    Lesson 2

    Lesson 3

    Lesson 4

  • Week 5: December 5

    Module

    3

    Topic

    B

    C

    Lesson

    5

    7

    8

    9

    Standards Addressed in Week's Lessons

    Topic B

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    Topic C

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    Notes:

    Lesson 5

    Consider reviewing necessary vocabulary before concept development: sequence, row, factors, product, number bond, count by, and skip-count. Also during Concept Development, some learners may prefer to use the distributive or commutative property to solve 7 times 6. Encourage their personal choices of efficient strategies. Challenge learners to present a multiplication fact they would solve using skip-counting. Ask, “How do you choose your strategy to solve?”

     

    Lesson 6 Omit

    This lesson involves using the distributive property with multiplication and division, a recurring objective in Module 3 and will be incorporated in later lessons.

     

    Lesson 7

    Fluency suggestion: scaffold "Decompose the Multiplication Sentence" activity with pre-made sentence frames where students can simply fill in the blank, or solicit oral student responses only. Alternatively, model the equation while students draw number bonds or arrays. Problem set: consider reading some or all phrases in #1 out loud with struggling readers.

     

    Lesson 8

    During the Problem Set, if timing is short, prioritize students practicing at least four problems in each section on the first page, and then completing the second page before they return to finish the first.

     

    Lesson 9

    Debrief the application problem to make sure students understand that changing the position of the parentheses does not change the answer in a multiplication problem. This is a critical understanding before the concept development begins.

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 5

    Lesson 7

    Lesson 8

    Lesson 9

  • Week 6: December 12

    Module

    3

    Topic

    C

    D

    Lesson

    10

    12

    14

     Assessment

    Mid-Module Assessment: administer after lesson 11

    Bi-Weekly #3 from lesson 15 Exit Ticket

    Notes:

    Lesson 10

    Decomposing fluency activity prepares students to use the distributive property in the lesson. Model how to find the unknown part of the number bond during the fluency activity for students below grade level. Students are asked to use break-apart strategy during exit ticket, and can choose to use an array or number bond to solve (encourage thoughtful choice of tools throughout lesson).

     

    Lesson 11 Omit

    Lesson 11 shares an objective with Lesson 15 and is also similar to Lesson 7.

     

    *One day is allotted this week for the Mid-Module Assessment before lesson 12.

     

    Lesson 12

    During Concept Development, label the equations as you say them to connect to unit form. For example, write 9 eights under 9 × 8. As students solve the Problem Set, some learners may solve Problem 1 more efficiently using the 9 = 10 – 1 strategy.

     

    Lessons 13 Omit

    Lesson 13 objective is repeated in Lesson 14.

     

    Lesson 14

    This lesson includes pictures of hands for students to practice multiplication strategies throughout problem set and exit ticket. Ideas for presenting during concept development: present a demonstration of the finger strategy, or make an animated video. Make it fun for students with rhythm or a song,which the teacher or students compose. Also, concept development specifically addresses MP.5 with discussion of strategy selection. Project or write questions on board. Consider allowing students to reflect independently in their notebooks before or after discussion.

     

    Standards Addressed in Week's Lessons

    Topic C

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    Topic D

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    3.OA.9

    Standards Addressed in Assessment

    Mid Module

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    3.OA.9

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 10

    Lesson 12

    Lesson 14

  • Week 7: December 19

    Module

    3

    Topic

    D

    E

    Lesson

    15

    16

    17

    Standards Addressed in Week's Lessons

    Topic D

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    3.OA.9

    Notes:

    Lesson 15

    Concept Development: students working above grade level and others may not identify a strategy for solving 9 × 4 = 36, instead saying, “It’s easy! I just knew it.” Challenge students to articulate strategies that work so well they seem automatic. Ask, “Did you count by fours? Did you switch the factors and calculate 4 × 9 instead? Did you use a pattern to solve? If so, what pattern?”

     

    Lesson 16

    Division problems with 0 and 1. Last six problems on sprint go beyond 3rd grade standards and can be used to challenge advanced students. MP. 7 (look for and make use of structure) highlighted in pattern discussion in second half of concept development.

     

    Lesson 17

    If possible and necessary, transcribe the rapid oral responses of learners who may otherwise work at a slower pace. Use color to outline rows and columns to help learners better discern the content. If highlighting the column of threes facts, for example, ask students to circle even products (instead of coloring them orange).

     

     

    Topic E

    3.OA.3

    3.OA.7

    3.OA.8

    3.OA.9

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 15

    Lesson 16

    Lesson 17

  • Week 8: January 9

    Module

    3

    Topic

    E

    F

    Lesson

    18

    19

    20

    21

    Notes:

    Lesson 18

    Fluency activity is in preparation for next lesson (19). Problem set and exit ticket call out RDW approach (read-write-draw).

     

    Lesson 19

    Application problem comes after concept development and before the problem set. Timing for application includes time for problem set. Based on exit ticket, prioritize problem set over application problem if necessary. Students can draw disks for fluency if necessary (instead of using physical disks).

     

    Lesson 20

    Prompts for above-grade-level students called out in concept development. Page 1 of problem set includes clear modeling, but exit ticket mirrors page 2. Ensure students have adequate time to practice all page 2 problems.

     

    Lesson 21

    Seconds are included in this lesson, even though they are not in the standards until fourth grade. Conversions are always provided for minutes to seconds since students are not expected to have this memorized. Sample script for concept development is based on sample time; teacher needs to calculate and use the class's actual time to facilitate the conceptual development. Suggestion for problem set: have students read word problems aloud to partners, then partner paraphrases back, to improve understanding of word problems.

     

    Standards Addressed in Week's Lessons

    Topic E

    3.OA.3

    3.OA.7

    3.OA.8

    3.OA.9

    Topic F

    3.OA.5

    3.OA.8

    3.OA.9

    3.NBT.3

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 18

    Lesson 19

    Lesson 20

    Lesson 21

  • Week 9: January 16

    Module

    4

    Topic

    A

     

    Lesson

    1

    2

    Notes:

    One day is provided this week for the End-of-Module Assessment.

     

    Lesson 1

    "Identify the Shape" fluency includes vocabulary necessary for concept development. Application problem reviews Module 3 and should not be prioritized. Exit ticket assesses understanding developed in the first part of this lesson's concept development.

     

    Lesson 2

    Pre-cut strips of paper, rulers, and scissors necessary for concept development. Prioritize problems 4 and 5 in problem set before exit ticket.

     

     Assessment

    End-of-Module Assessment: administer after lesson 21

    Standards Addressed in Week's Lessons

    Topic A

    3.MD.5

    Standards Addressed in Assessments

    End of Module Assessment

    3.NBT.3

    3.OA.3

    3.OA.4

    3.OA.5

    3.OA.7

    3.OA.8

    3.OA.9

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 1

    Lesson 2

  • Week 10: January 23

    Module

    4

    Topic

    A

    B

     

    Lesson

    3

    4

    5

    Notes:

    One day is provided this week for ANet assessment.

     

    Lesson 3

    Project figures for "Count the Square Units" during fluency. Prioritize first page of problem set (#1 and #2). Also prioritize questions 1 and 2 from suggested debrief questions. Students may talk as a whole group or with partners.

     

    Lesson 4

    Application problem reviews lesson two and leads directly into concept development for this lesson. During concept development, Scaffold student contrast of length and area. Consider placing a long string along the side of the rectangle, or have students trace the side with a finger to better illustrate length. In contrast, have students shade in the area before writing 15 square inches. During problem set, if approach is not specified, students should solve problems using RDW approach (read write draw).

     

    Lesson 5 –  Application problem reviews lesson 4. During concept development, rephrase questions to clarify meaning, “What information do we know?” to “How many rows of inch  squares? How do you know?” Consider providing concrete manipulatives instead of or in addition to having students draw tiles during concept development. Make sure to prioritize at least some word problems (page 2 of problem set) to prepare students for the exit ticket. Students notice regularity in repeated reasoning (MP.8) during student debrief.

     

     Assessment

    ANet

    Standards Addressed in Week's Lessons

    Topic A

    3.MD.5

     

    Topic B

    3.MD.5

    3.MD.6

    3.MD.7a

    3.MD.7b

    3.MD.7d

    Standards Addressed in Assessments

     ANet

    Major

    3.MD.A.2

    3.OA.A.4

    3.OA.B.5

    3.OA.D.8

    3.OA.D.9

     

    Additional

    3.NBT.A.1

    3.NBT.A.2

    3.NBT.A.3

    Review

    3.OA.A.3

    3.OA.B.6

    3.OA.C.7

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 3

    Lesson 4

    Lesson 5

  • Week 11: January 30

    Module

    4

    Topic

    B

     

    Lesson

    6

    7

    8

    Standards Addressed in Week's Lessons

    Topic B

    3.MD.5

    3.MD.6

    3.MD.7a

    3.MD.7b

    3.MD.7d

    Eureka Math: Concept Development Video Guides via YouTube

    Lesson 6

    Lesson 7

    Lesson 8

    Notes:

    Lesson 6 –  Prepare to project incomplete arrays (clearer than drawing on the board) for conceptual development (included as last two pages of teacher materials). Consider using color to distinguish parts that are filled in from parts that are not. Question 3 in problem set most closely aligns with exit ticket. Prioritize student debrief questions 1, 2, 3.

     

    Lesson 7 –  Consider offering the following adaptations to the Problem Set: 1) Prompt students to approach Rectangle E first. Offer practice with 1 by n rectangles to build fluency and confidence. 2) Remove side lengths to encourage closer investigation. 3) Challenge students to devise an alternate method for finding the area of Benjamin’s bedroom floor. In problem set, question 4 should not be prioritized for students who are struggling with 1-3, but may challenge some advanced learners. Consider pairing these students to discuss debrief question #3 if they finish the problem set early, rather than asking the debrief question to the whole group.

     

    Lesson 8

    Students will need personal white boards, inch ruler, and grid template as preparation for this lesson.