Upload
others
View
4
Download
0
Embed Size (px)
Citation preview
BPS Mathematics Department G4 Updated: 12/8/20 Page 1
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 2
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 3
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 4
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 5
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
IMPORTANT Module 5 NOTES:
Based on the Next Generation Math Standards (to be implemented NEXT YEAR), please keep the following upcoming changes in mind:
● 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
BPS Mathematics Department G4 Updated: 12/8/20 Page 6
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
ENRICHMENT EMBEDDED WITHIN MODULE 5
Pattern: ● Lesson 41: Fraction Patterns
Reasoning:
Lessons 12-13: Reason Using Benchmarks to Compare Fractions
Think Tank Module 5: Enrichment for All Learners by Lesson
Lesson Box Topic and Card Number
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 7
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
Solving
9 Reasoning with Fractions Super Solvers 1
10 Computation and Number Sense Grand Masters 20
11 Reasoning with Fractions Ponder Puzzles 9
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
18 Reasoning with Fractions Ponder Puzzles 18
19 Reasoning with Fractions Grand Masters 13
20 Reasoning with Fractions Cranium Crackers 4
21 Reasoning with Fractions Brain Busters 4
22 Reasoning with Fractions Cranium Crackers 12
23 Reasoning with Fractions Master Minds 19
BPS Mathematics Department G4 Updated: 12/8/20 Page 8
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
24 Reasoning with Fractions Pace Setters 6
25 Reasoning with Fractions Super Solvers 10
26 Computation and Number Sense Pace Setters 13
27 Reasoning with Fractions Thorough Thinkers 17
28 Reasoning with Fractions Brain Busters 9
29 Reasoning with Fractions Super Solvers 10
30 Reasoning with Fractions Super Solvers 19
31 Reasoning with Fractions Brain Busters 12
32 Reasoning with Fractions Fast Figurers 20
33 Reasoning with Fractions Brain Busters 8
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
38 Reasoning with Fractions Grand Masters 6
39 Reasoning with Fractions Master Minds 11
BPS Mathematics Department G4 Updated: 12/8/20 Page 9
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
40 Reasoning with Fractions Grand Masters 19
41 Reasoning with Fractions Prickly Problems 6
IMPORTANT Module 6 NOTES:
Based on the Next Generation Math Standards (to be implemented NEXT YEAR), please keep the following upcoming changes in mind:
● 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
ENRICHMENT EMBEDDED WITHIN MODULE 6
● N/A
BPS Mathematics Department G4 Updated: 12/8/20 Page 10
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
Think Tank Module 6: Enrichment for All Learners by Lesson
Lesson Box Topic and Card Number
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
13 Computation and Number Sense Pace Setters 1
14 Computation and Number Sense Number Jugglers 5
BPS Mathematics Department G4 Updated: 12/8/20 Page 11
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
15 Computation and Number Sense Pace Setters 8
16 Computation and Number Sense Mental Teasers 14
IMPORTANT Module 7 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.” ● 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.”
BPS Mathematics Department G4 Updated: 12/8/20 Page 12
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
ENRICHMENT EMBEDDED WITHIN MODULE 7
● N/A
Think Tank Module 7: Enrichment for All Learners by Lesson
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
BPS Mathematics Department G4 Updated: 12/8/20 Page 13
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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)
13 Thinking Mathematically and Problem Solving Quick Quizzes 10 (Review of Mod 6)
14 Thinking Mathematically and Problem Solving Quick Quizzes 17 (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
BPS Mathematics Department G4 Updated: 12/8/20 Page 14
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
Mission 5: L6 Mission 5: L7 Mission 5: L8
Week 23 2/22 - 2/26 M5: Lesson 9 M5: Lesson 10
Super Solvers 1 Grand Masters 20
Mission 5: L9 Mission 5: L10
BPS Mathematics Department G4 Updated: 12/8/20 Page 15
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
M5: Lesson 11 Ponder Puzzles 9 Mission 5: L11
Week 24 3/1 - 3/5 M5: Lesson 12 M5: Lesson 13 M5: Lesson 14
Super Solvers 19 Mind Benders 16 Quick Thinkers 6
Mission 5: L12 Mission 5: L13 Mission 5: L14
Week 25 3/8 - 3/12 M5: Lesson 15 M5: Lesson 16 M5: Lesson 17
Brain Busters 6 Fast Figurers 5 Quick Quizzes 5
Mission 5: L15 Mission 5: L16 Mission 5: L17
Week 26 3/15 - 3/19 M5: Lesson 18 M5: Lesson 19 M5: Lesson 20
Ponder Puzzles 18 Grand Masters 13 Cranium Crackers 4
Mission 5: L18 Mission 5: L 19 Mission 5: L 20
Week 27 3/22 - 3/26 M5: Lesson 21 M5: Lesson 22 M5: Lesson 23
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
Week 29 4/12 - 4/16 M5: Lesson 28 M5: Lesson 30 M5: Lesson 31
Brain Busters 9 Super Solvers 19 Brain Busters 12
Mission 5: L 28 Mission 5: L 30 Mission 5: L 31
Omit Lesson 29
BPS Mathematics Department G4 Updated: 12/8/20 Page 16
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
Week 30 4/19 - 4/23 M5: Lesson 32 M5: Lesson 33 M5: Lesson 35
Fast Figurers 20 Brain Busters 8 Wise Workers 14
Mission 5: L 32 Mission 5: L 33 Mission 5: L 35
Omit Lesson 34
Quarter 4 - weeks
Quarter 4- dates
Feb - June PACING Think Tank cards Zearn Digital Independent Lessons
Instructional Notes
Week 31 4/26 - 4/30 M5: Lesson 36 M5: Lesson 37 M5: Lesson 38
Prickly Problems 5 Wise Workers 10 Grand Masters 6
Mission 5: L 36 Mission 5: L 37
Week 32 5/3 - 5/7 M5: Lesson 39 M5: Lesson 40
Master Minds 11 Grand Masters 19
Mission 5: L 39 Mission 5: L 40
Week 33 5/10 - 5/14 M6: Lesson 1 M6: Lesson 2/3
Fast Figurers 3 Fast Figurers 12 Wise Workers 6
Mission 6: L 2 Mission 6: L 3
Combine Lessons 2 and 3 Concept Development: Lesson 2 Problem 2 (Area model representing tenths as fractions), Lesson 3 ALL (1-3)
Week 34 5/17 - 5/21 M6: Lesson 4 M6: Lesson 5 M6: Lesson 7
Brain Busters 11 Thorough Thinkers 8 Cranium Crackers 2
Mission 6: L 4 Mission 6: L 5 Mission 6: L 7
Omit Lesson 6
Week 35 5/24 - 5/28 M6: Lesson 8 M6: Lesson 9 M6: Lesson 10
Cranium Crackers 7 Mental Teasers 10 Mind Benders 17
Mission 6: L 8 Mission 6: L 9 Mission 6: L 10
Week 36 5/31 - 6/4 M6: Lesson 12 M6: Lesson 14
Fast Figurers 15 Number Jugglers 5
Mission 6: L 12 Mission 6: L 14
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
Mission 7: L 1 Mission 7: L 3 Mission 7: L 4
Combine Lessons 1 and 2 Concept Development - All problems (Lesson 1 Problems 1 - 3 show conversions pounds to ounces,
BPS Mathematics Department G4 Updated: 12/8/20 Page 17
Instructional Guide Grade 4 – Mathematics
February 2021 through June 2021
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
Mission 7: L 6 Mission 7: L 7 Mission 7: L 10
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
Mission 7: L 12 Mission 7: L 13 Mission 7: L 14
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.