Grade 4 Overview€¦ · 2020-08-28 · Mission 2: L5 Combine Lessons 1-3: Review/Teach all conversions and comparison from the three lessons using L1 Concept Development Problems

Instructional Guide Grade 4 – Mathematics

September 2020 through December 2020

BPS Mathematics Department G4 Updated: 8/28/2020 Page 1

Grade 4 Overview

Module Standards

M1: Place Value, Rounding, and Algorithms for Addition and Subtraction

4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.3, 4.NBT.4 F

M2: Unit Conversions and Problem Solving with Metric Measurement

4.MD.1, 4.MD.2

M3: Multi-Digit Multiplication and Division 4.OA.1, 4.OA.2, 4.OA.3, 4.OA.4, 4.NBT.5,

4.NBT.6, 4.MD.3

M4: Angle Measurements and Plane Figures 4.MD.5, 4.MD.6, 4.MD.7, 4.G.1, 4.G.2, 4.G.3

M5: Fraction Equivalence, Ordering, and Operations 4.OA.5, 4.NF.1, 4.NF.2, 4.NF.3, 4.NF.4,

4.MD.2, 4.MD.4

M6: Decimal Fractions 4.NF.5, 4.NF.6, 4.NF.7, 4.MD.2

M7: Exploring Multiplication 4.OA.1, 4.OA.2, 4.OA.3, 4.NBT.5

See PAGE 10 for your September to December PACING




IMPORTANT Module 1 NOTES: Based on the Next Generation Math Standards (to be implemented NEXT YEAR), please keep the following upcoming changes in mind:

● 4.OA.3a “using equations” has been updated to state “using equations or expressions” ● 4.OA.3b has added “When problems include multiplication and addition, understand that multiplication is always

done before addition unless parentheses are included.” ● 4.OA.3c has added the note “Multistep problems need not be represented by a single expression or equation.” ● 4.NBT.1 has added “…recognize that 70 x 10 = 700 (and, therefore, 700/10 = 70) by applying concepts of place value

multiplication and division ● 4.NBT.2 has added the note “Expanded form in grade 4 should take the form of (3x100) + (2x10) + (7x1) *with or

without parentheses. This representation helps scaffold depth of understanding of the base-ten system…”

Module 1 Vocabulary

Algorithm Hundred Millions Hundred Thousands One Millions

Ten Millions Ten Thousands Variable




ENRICHMENT EMBEDDED WITHIN THIS MODULE

From the module Overview: …Enhance the relevancy of the Application Problem by substituting names, settings, and tasks to reflect students and their experiences…

Patterns ● Lesson 3 - In this lesson, students extend past 1 million (4.NBT standards limit to whole numbers less than or equal to 1

million) to establish a pattern of ones, tens, and hundreds within each base ten unit (thousands, millions, billions, trillions). Calculations in following lessons are limited to less than or equal to 1 million. (If students are not ready for this step, omit establishing the pattern and internalize the units of the thousands period.)

● Lesson 5 - Draw and label the units on the place value chart to hundred thousands. Use each of the digits 9, 8, 7, 3, 1, and 0 once to create a number that is between 7 hundred thousands and 9 hundred thousands. In word form, write the number you created. Extension: Create two more numbers following the same directions as above.

● Lesson 6 - After students predict the next number in the pattern, ask students to create their own pattern using the strategy of one thousand more or less, ten thousand more or less, or one hundred thousand more or less. Then, ask students to challenge their classmates to predict the next number in the pattern.

● Lesson 9 - Challenge students who are above grade level to look at the many ways that they rounded the number 147,591 to different place values. Have them discuss with a partner what they notice about the rounded numbers. Students should notice that when rounding to the hundred thousands, the answer is 100,000, but when rounding to all of the other places, the answers are closer to 150,000. Have them discuss what this can teach them about rounding.

Reasoning ● Lesson 18: Assess the Reasonableness of Answers




Think Tank Module 1: Enrichment for All Learners by Lesson

Lesson Box Topic and Card Number

1 Computation and Number Sense Speed Starters, Card 1

2 Thinking Mathematically and Problem Solving Quick Quizzes, Card 12

3 Thinking Mathematically and Problem Solving Cracker Jacks, Card 2

4 Computation and Number Sense Mental Teasers, Card 7

5 Computation and Number Sense Mental Teasers, Card 2

6 Thinking Mathematically and Problem Solving Super Sleuths, Card 8

8 Computation and Number Sense Super Solvers, Card 2

10 Computation and Number Sense Pace Setters, Card 12

12 Computation and Number Sense Brain Builders, Card 13


16 Thinking Mathematically and Problem Solving Brain Boosters, Card 11

18 Computation and Number Sense Wise Workers, Card 16





● Standard 4.MD.1 has been updated to include measurement benchmarks and revised conversion requirements:

NY-4.MD.1 Know relative sizes of measurement units: ft., in.; km, m, cm e.g., An inch is about the distance from the tip of your thumb to your first knuckle. A foot is the length of two-dollar bills. A meter is about the height of a kitchen counter. A kilometer is 2 ½ laps around most tracks. Know the conversion factor and use it to convert measurements in a larger unit in terms of a smaller unit: ft., in.; km, m, cm; hr., min., sec. e.g., Know that 1 ft. is 12 times as long as 1 in. and express the length of a 4 ft. snake as 48 in. Given the conversion factor, convert all other measurements within a single system of measurement from a larger unit to a smaller unit. e.g., Given the conversion factors, convert kilograms to grams, pounds to ounces, or liters to milliliters. Record measurement equivalents in a two-column table. e.g., Generate a conversion table for feet and inches.

● Standard 4.MD.2 has replaced “….solving word problems using the four operations and simple fractions to fractions.”

Module 2 Vocabulary

Convert Kilometer (km) Mass

Milliliter (mL) Mixed Units





N/A



1, 2, 3 Computation and Number Sense Grand Masters, Card 11

4 Computation and Number Sense Mind Benders, Card 13

5 Thinking Mathematically and Problem Solving Cranium Crackers, Card 15





● 4.OA.3a “using equations” has been updated to state “using equations or expressions” ● 4.OA.3b has added “When problems include multiplication and addition, understand that multiplication is always

done before addition unless parentheses are included.”

Module 3 Vocabulary

Associative Property Composite Number Distributive Property Divisor

Partial Product Prime Number Remainder


Pattern: ● Lesson 23: Division and Associative Property to Observe Patterns

Reasoning: ● Lessons 22-25: Reasoning with Divisibility






1/2 Computation and Number Sense Brain Boosters, Card 7


4/5 Computation and Number Sense Number Jugglers, Card 2

6/7 Thinking Mathematically and Problem Solving Head Polishers, Card 1

8 Computation and Number Sense Head Sharpeners, Card 1

10 Computation and Number Sense Pace Setters, Card 4



17 Computation and Number Sense Speedy Starters, Card 9

18 Computation and Number Sense Fast Figures, Card 19

20 Computation and Number Sense Grand Masters, Card 7


22 Thinking Mathematically and Problem Solving Prickly Problems, Card 14


24 Thinking Mathematically and Problem Solving Brain Boosters, Card 12

25 Thinking Mathematically and Problem Solving Mental Matters, Card 9




26 Computation and Number Sense Grand Masters, Card 15

27 Thinking Mathematically and Problem Solving Mega Minds, Card 8

29 Computation and Number Sense Number Jugglers, Card 16

30 Computation and Number Sense Number Jugglers, Card 19


33 Thinking Mathematically and Problem Solving Prickly Problems, Card 9


35 Computation and Number Sense Quick Thinkers, Card 5

37 Computation and Number Sense Head Sharpeners, Card 7

38 Computation and Number Sense Wise Workers, Card 1




PACING Plan for September 2020 – December 2020 Please note that there will be times throughout the YEAR when you will either be embedding lessons from the

previous grade level, omitting lessons at this grade level, and/or combining lessons at this grade level. This is all to ensure that our students have the foundational and grade level conceptual understanding to progress

masterfully as the standards outline.

The decisions that were made were based on the progression of content from grade to grade (coherence). Those

March - June standards that underlie the mastery of this year's standards were deemed essential and it was determined that they must be embedded in this years' pacing.

Grade 4 Quarter 1 - weeks

Quarter 1 - dates

Sept - Dec PACING Think Tank cards Zearn Digital Independent Lessons

Instructional Notes/Suggestions

Week 1 9/8 - 9/11

Week 2 9/14 - 9/18

Week 3 9/21 - 9/25 M1: Lesson 1 M1: Lesson 2 M1: Lesson 3

Speed Starters 1 Quick Quizzes 12 Cracker Jack 2

Mission 1: L1 Mission 1: L2 Mission 1: L3


Mental Teasers 7 Mental Teasers 2 Super Sleuths 8



Super Solvers 2 Pace Setters 12 Brain Builders 13





Week 6 10/13 -10/16 M1: Lesson 14 M1: Lesson 16 M1: Lesson 18

Brain Builders 11 Brain Boosters 11 Wise Workers 16


Week 7 10/19 - 10/23 M2: Lesson 1/2/3 M2: Lesson 4 M2: Lesson 5

Grand Masters 11 Mind Benders 13 Cranium Crackers 15


Combine Lessons 1-3: Review/Teach all conversions and comparison from the three lessons using L1 Concept Development Problems 1-4, L2 Concept Development Problems 1-3 and L3 Concept Development Problems 1-3.

Week 8 10/26 - 10/30 M3: Lesson 1/2 M3: Lesson 3 M3: Lesson 4/5

Brain Boosters 7 Cranium Crackers 2 Number Jugglers 2


Combine Lessons 1 and 2 – use Concept Development L1 Problems 1-3 and L2 Problems 1 & 3 Combine Lessons 4 and 5 – use Concept Development L4 Problems 1-3 and L5 Problem 3-4

Week 9 11/2 - 11/6 M3: Lesson 6/7 M3: Lesson 8 M3: Lesson 10

Head Polishers 1 Head Sharpeners 1 Pace Setters 4


Combine Lessons 6 and 7 – use Concept Development L6 Problems 1-3 and L7 Problem 2


Quick Quizzes 8 Cranium Crackers 9 Speedy Starters 9


Quarter 2 - weeks

Quarter 2 - dates

Sept - Dec PACING Think Tank cards Zearn Digital Independent Lessons

Instructional Notes

Week 11 11/16 – 11/20 M3: Lesson 18 M3: Lesson 20 M3: Lesson 21

Fast Figurers 19 Grand Masters 7 Cranium Crackers 8



Prickly Problems 14 Quick Quizzes 1 Brain Boosters 12



Mental Matters 9 Grand Masters 15 Mega Minds 8






Number Jugglers 16 Number Jugglers 19 Cranium Crackers 11



Prickly Problems 9 Brain Builders 20 Quick Thinkers 5


Week 16 12/21 – 12/25 M3: Lesson 37 M3: Lesson 38

Head Sharpeners 7 Wise Workers 1

Mission 3: L37 Mission 3: L38

Week 17 1/4-1/8 M4: Lesson 1/2 M4: Lesson 3/4 M4: Lesson 8

Cranium Crackers 11 Mental Matters 11 Super Sleuths 16


Combine Lessons 1 and 2 - Concept Development - Teach all the vocabulary from Lessons 1 and 2 and identify the points, lines, rays, angles etc. Combine Lessons 3 and 4 - Concept Development - Teach both parallel and perpendicular lines

Week 18 1/11-1/15 M4: Lesson 9/10/11 M4: Lesson 12 M4: Lesson 13/15

Fast Figurers 16 Prickly Problems 8 Brain Boosters 5


Combine Lessons 9, 10 and 11 - Concept Development - Use Problem 1 from Lesson 9, Problem 3 from Lesson 10 and Problems 1 and 2 from Lesson 11

Week 19 1/18-1/22 Gr 3 M5: Lesson 21 Gr 3 M5: Lesson 22 Gr 3 M5: Lesson 23

Quick Thinkers 4 Wise Workers 8 Quick Thinkers 11

Gr 3 Mission 5: L21 Gr 3 Mission 5: L22 Gr 3 Mission 5: L23

Address unfinished teaching from Grade 3

Week 20 1/25-1/29 Gr 3 M5: Lesson 24 Gr 3 M5: Lesson 27 Gr 3 M5: Lesson 28/29

Mind Benders 20 Quick Thinkers 12 Mind Benders 19

Gr 3 Mission 5: L24 Gr 3 Mission 5: L27 Gr 3 Mission 5: L28

Address unfinished teaching from Grade 3

Concept Development for both 28 and 29

Documents

Grade 4 Overview€¦ · 2020-08-28 · Mission 2: L5 Combine Lessons 1-3: Review/Teach all conversions and comparison from the three lessons using L1 Concept Development Problems