instructional guide grade 4 mathematics february 2021

BPS Mathematics Department G4 Updated: 12/8/20

Instructional Guide Grade 4 – Mathematics

February 2021 through June 2021

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 14 for your February to June PACING




IMPORTANT Module 4 NOTES:

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

● 4.MD.7 has been updated to include the “Connection: By using an equation with a symbol for the unknown angle measure, students

connect this work with 4.OA.3”

● 4.G.2 has been revised to state: “Classify triangles based on angle size. Classify quadrilaterals based on the

presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified

size.”

Module 4 Vocabulary

acute angle acute triangle adjacent angle angle

arc collinear complementary angles degree

diagonal equilateral triangle figure interior of an angle

intersecting lines isosceles triangle line line of symmetry

line segment obtuse angle obtuse triangle parallel

perpendicular point protractor ray

right angle right triangle scalene triangle straight angle

supplementary angles vertex vertical angles




ENRICHMENT EMBEDDED WITHIN MODULE 4

Attributes:

● Lesson 16: Reason About Attributes to Construct Quadrilaterals Classify:

● Lesson 13: Analyze and Classify Triangles ● Lesson 15: Classify Quadrilaterals

Reasoning: ● Lesson 16: Reason About Attributes to Construct Quadrilaterals

Logic: ● Lesson 1: Identify geometric terms in various contexts and familiar figures. ● Lesson 2: Use right angle templates to identify acute, obtuse, and right angles within Picasso’s painting Factory, Horta de

Ebbo. ● Lesson 9: Decompose angles using pattern blocks. ● Lesson 10: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.

Think Tank Module 4: Enrichment for All Learners by Lesson

Lesson Box Topic and Card Number

1 Thinking Mathematically and Problem Solving Cranium Crackers 11

2 Thinking Mathematically and Problem Solving Cranium Crackers 20

3 Thinking Mathematically and Problem Solving Head Polishers 3

4 Thinking Mathematically and Problem Solving Mental Matters 11




5 Thinking Mathematically and Problem Solving Cool Heads 3

6 Thinking Mathematically and Problem Solving Cool Heads 4

7 Thinking Mathematically and Problem Solving Wise Wizards 11

8 Thinking Mathematically and Problem Solving Super Sleuths 16

9 Thinking Mathematically and Problem Solving Mega Minds 8

10 Computation and Number Sense Pace Setters 2

11 Computation and Number Sense Fast Figures 16

12 Thinking Mathematically and Problem Solving Prickly Problems 8

13 Thinking Mathematically and Problem Solving Brain Boosters 5

14 Thinking Mathematically and Problem Solving Cracker Jacks 13

15 Thinking Mathematically and Problem Solving Wise Wizards 14

16 Thinking Mathematically and Problem Solving Head Polishers 20






● 4.NF.3 has been revised to include the following note:

Understand a fraction 𝑎/𝑏 with a > 1 as sum of fractions a 1/𝑏. Note: 1/𝒃 refers to the unit fraction for 𝒂/𝒃 ● 4.NF.4 has been revised to state: Apply and extend previous understandings of multiplication to multiply a whole

number by a fraction. Note: This standard refers to n groups of a fraction (where n is a whole number), e.g., 4

groups of 𝟏/𝟑, which lends itself to being thought about as repeated addition. In grade 5 (NY-5. NF.4) students will be multiplying a fraction by a whole number, e.g., 𝟏/𝟑 of 4.

● 4.MD. 2 has added “… Solve problems involving fractions…” ● 4.MD.4 has been revised to include “…e.g., Given measurement data on a line plot, find and interpret the difference in

length between the longest and shortest specimens in an insect collection.”

Module 5 Vocabulary

decompose benchmark fractions common denominator compare

denominator difference equivalent fractions fraction

greater than (>) less than (<) like denominators lowest terms

mixed number numerator simplest form simplify

improper fraction sum unlike denominators whole numbers

like numerators unlike numerators unit fraction common factor

common multiple data line plot whole





Pattern: ● Lesson 41: Fraction Patterns

Reasoning:

Lessons 12-13: Reason Using Benchmarks to Compare Fractions



1 Computation and Number Sense Brain Builders 15

2 Reasoning with Fractions Quick Quizzes 8

3 Reasoning with Fractions Ponder Puzzles 14

4 Computation and Number Sense Fast Figurers 7

5 Reasoning with Fractions Pace Setters 8

6 Thinking Mathematically and Problem Solving

Mega Minds 17

7 Computation and Number Sense Grand Masters 3

8 Thinking Mathematically and Problem Mega Minds 4




Solving

9 Reasoning with Fractions Super Solvers 1

10 Computation and Number Sense Grand Masters 20


12 Computation and Number Sense Super Solvers 19

13 Computation and Number Sense Mind Benders 16

14 Computation and Number Sense Quick Thinkers 6

15 Reasoning with Fractions Brain Busters 6

16 Reasoning with Fractions Fast Figurers 5

17 Reasoning with Fractions Quick Quizzes 5


19 Reasoning with Fractions Grand Masters 13

20 Reasoning with Fractions Cranium Crackers 4


22 Reasoning with Fractions Cranium Crackers 12

23 Reasoning with Fractions Master Minds 19




24 Reasoning with Fractions Pace Setters 6



27 Reasoning with Fractions Thorough Thinkers 17





32 Reasoning with Fractions Fast Figurers 20


34 Reasoning with Fractions Thorough Thinkers 9

35 Computation and Numbers Sense Wise Workers 14

36 Thinking Mathematically and Problem Solving

Prickly Problems 5

37 Computation and Numbers Sense Wise Workers 10


39 Reasoning with Fractions Master Minds 11





41 Reasoning with Fractions Prickly Problems 6



● 4.MD.2 has been updated to include “…solve problems involving fractions or decimals…”

Module 6 Vocabulary

tenth tenths hundredth hundredths

decimal point decimal number decimal fraction expanded form


● N/A






1 Reasoning with Fractions and Decimals Fast Figurers 3

2 Reasoning with Fractions and Decimals Fast Figurers 12

3 Computation and Number Sense Wise Workers 6

4 Reasoning with Fractions and Decimals Brain Busters 11

5 Reasoning with Fractions and Decimals Thorough Thinkers 8

6 Reasoning with Fractions and Decimals Grand Masters 11

7 Reasoning with Fractions and Decimals Cranium Crackers 2

8 Reasoning with Fractions and Decimals Cranium Crackers 7

9 Computation and Number Sense Mental Teasers 10

10 Computation and Number Sense Mind Benders 17

11 Computation and Number Sense Super Solvers 8

12 Computation and Number Sense Fast Figurers 15


14 Computation and Number Sense Number Jugglers 5





16 Computation and Number Sense Mental Teasers 14



● 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.” ● 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 7 Vocabulary

customary system of measurement

customary unit cup (c) gallon (gal)

metric system of measurement

metric unit ounce (oz) pint (pt)

pound (lb) quart (qt) capacity convert


● N/A


Lesson

Box Topic and Card Number

1 Computation and Number Sense Grand Masters 6 (Review of Mod 6)

2 Computation and Number Sense Grand Masters 16 (Review of Mod 6)

3 Thinking Mathematically and Problem Solving Super Sleuths 4




4 Thinking Mathematically and Problem Solving Super Sleuths 3 (Review of Mod 6)

5 Thinking Mathematically and Problem Solving Prickly Problems 12 (Review of Mod 6)

6 Thinking Mathematically and Problem Solving Brain Boosters 8 (Review of Mod 6)

7 Thinking Mathematically and Problem Solving Brain Boosters 15 (Review of Mod 6)

8 Thinking Mathematically and Problem Solving Thorough Thinkers 2

9 Thinking Mathematically and Problem Solving Mega Minds 3

10 Thinking Mathematically and Problem Solving Cranium Crackers 6 (Review of Mod 6)

11 Thinking Mathematically and Problem Solving Cranium Crackers 10 (Review of Mod 6)

12 Thinking Mathematically and Problem Solving Quick Quizzes 7 (Review of Mod 6)



15 Thinking Mathematically and Problem Solving Head Polishers 10 (Review of Mod 6)

16 Thinking Mathematically and Problem Solving Mental Matters 5

17 Thinking Mathematically and Problem Solving Mental Matters 7 (Review of Mod 6)

18 Thinking Mathematically and Problem Solving Cracker Jacks 12




PACING Plan for February 2021 – June 2021

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 3 - weeks

Quarter 3 - dates

Feb - June PACING Think Tank cards Zearn Digital Independent Lessons

Instructional Notes/Suggestions

Week 21 2/1 - 2/5 M5: Lesson 1/2 M5: Lesson 3 M5: Lesson 5

Quick Quizzes 8 Ponder Puzzles 14 Pace Setters 8

Mission 5: L2 Mission 5: L3 Mission 5: L5

Combine Lessons 1 and 2. Concept Development Lesson 2 (add tape diagram to show relationship between decomposition and number bond) Omit Lesson 4

Week 22 2/8 - 2/12 M5: Lesson 6 M5: Lesson 7 M5: Lesson 8

Mega Minds 17 Grand Masters 3 Mega Minds 4


Week 23 2/22 - 2/26 M5: Lesson 9 M5: Lesson 10

Super Solvers 1 Grand Masters 20

Mission 5: L9 Mission 5: L10




M5: Lesson 11 Ponder Puzzles 9 Mission 5: L11


Super Solvers 19 Mind Benders 16 Quick Thinkers 6



Brain Busters 6 Fast Figurers 5 Quick Quizzes 5



Ponder Puzzles 18 Grand Masters 13 Cranium Crackers 4

Mission 5: L18 Mission 5: L 19 Mission 5: L 20


Brain Busters 4 Cranium Crackers 12 Master Minds 19

Mission 5: L 21 Mission 5: L 22 Mission 5: L 23

Week 28 3/29 - 4/2 M5: Lesson 24/25 M5: Lesson 27

Pace Setters 6 Thorough Thinkers 17

Mission 5: L 25 Mission 5: L 27

Concept Development - Lesson 24 show Problem 1 and 2 simultaneously (same skill using 2 strategies - show how they are linked), Lesson 25 show Problem 1 and 2 simultaneously (same skill using 2 strategies - show how they are linked) and complete Problem 3 Concept Development Lesson 27 - use like and unlike denominators, you can pull examples from Lesson 26 Omit Lesson 26


Brain Busters 9 Super Solvers 19 Brain Busters 12


Omit Lesson 29





Fast Figurers 20 Brain Busters 8 Wise Workers 14


Omit Lesson 34

Quarter 4 - weeks

Quarter 4- dates

Feb - June PACING Think Tank cards Zearn Digital Independent Lessons

Instructional Notes


Prickly Problems 5 Wise Workers 10 Grand Masters 6



Master Minds 11 Grand Masters 19


Week 33 5/10 - 5/14 M6: Lesson 1 M6: Lesson 2/3

Fast Figurers 3 Fast Figurers 12 Wise Workers 6


Combine Lessons 2 and 3 Concept Development: Lesson 2 Problem 2 (Area model representing tenths as fractions), Lesson 3 ALL (1-3)


Brain Busters 11 Thorough Thinkers 8 Cranium Crackers 2


Omit Lesson 6


Cranium Crackers 7 Mental Teasers 10 Mind Benders 17



Fast Figurers 15 Number Jugglers 5


Omit Lesson 13

Week 37 6/7 - 6/11 M7: Lesson 1/2 M7: Lesson 3 M7: Lesson 4

Grand Masters 6 Super Sleuths 4 Super Sleuths 3


Combine Lessons 1 and 2 Concept Development - All problems (Lesson 1 Problems 1 - 3 show conversions pounds to ounces,




yards to feet and feet to inches; Lesson 2 Problems 1 - 3 show conversions gallons to quarts, quarts to pints and pints to cups), Problem 4 Lesson 2 - 2 step conversions

Week 38 6/14 - 6/18 M7: Lesson 6/7 M7: Lesson 8/9 M7: Lesson 10

Brain Boosters 8 Thorough Thinkers 2 Cranium Crackers 6


Combine Lessons 6 and 7 Concept Development - All problems #1 and #2 from Lesson 6 and 7 (mix them together) Skill - adding and subtracting with capacity and length Combine Lessons 8 and 9 Concept Development - All problems #1 and #2 from Lesson 8 and 9 (mix them together) Skill - adding and subtracting with weight and time Omit Lesson 11

Week 39 6/21 - 6/24 M7: Lesson 12/13 M7: Lesson 14 M7: Lessons 15-18

Quick Quizzes 7 Quick Quizzes 17 Mental Matters 5


Combine Lessons 12 and 13. Concept Development - All problems use the conversion as a fraction of the measurement tool *Lessons 15 - 18 are Review. If you have time, you can complete otherwise omit.

instructional guide grade 4 mathematics february 2021

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