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Oklahoma City Public Schools Pacing Guide 2014-2015
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Oklahoma City Public Schools MATH
4TH GRADE
Pacing Guide Purpose
Oklahoma City Public Schools pacing guide is intended to assist in pacing instruction and assist teachers in combining standards in meaningful ways to support student mastery. The length recommended for each unit is based on prioritization of standards leading to college and career
readiness. A framework has been established to support teacher planning and provide more consistency from class to class across the district. This framework will minimize the effects of students’ mobility within Oklahoma City Public Schools.
Flex Periods
These days can be used for extending lessons, reviewing challenging concepts, projects, algorithms, differentiation and/or math games.
Mackinley Cross: Wilson Elementary
Myrna Chaney: Eugene Field Elementary
Melissa Brett: Monroe Elementary
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Standards for Mathematical Practice (SMP) for 4th Grade
Mathematically proficient students will aim to do ALL of the following:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Required Math Fluency for 4th Grade
4.NBT.4 Add/subtract within 1,000,000
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4th Grade Every Day Math Terminology and Things to Know
Algorithm Projects- Found in the back of the TLG, these can be used after various instructional lessons to provide students with the “traditional approach” to the skill being taught. (ex. Algorithm 5 can be used to teach traditional multiplication AFTER students are taught how to multiply using partial-products and lattice method. Traditional methods are taught after these other methods because they do not teach conceptual understanding of the skill, but rather just how to find the answer.)
CCSS- Common Core State Standards
EDM- Everyday Math
Flex Days- These days can be used for extending lessons, reviewing challenging concepts, projects, algorithms, differentiation and/or math games.
Games- EDM Games provide essential practice of skills introduced during whole group lessons. Games are listed for each lesson in which they appear in the TLG. If possible, EDM Games should be used EVERYDAY. They do not have to be done during the math instructional block and can be incorporated into your daily routine (15 minutes at start of day, after recess, end of day, etc).
Lit- Some EDM lessons have Literature Connections. The title and author’s name for these books are found in the Games/Lit column of your pacing guide, as well as in the TLG.
MB- Math Box (Practice problems found in Student Math Journals)
MM- Math Masters
Projects- Found in the back of the TLG, these can be used after various instructional units as performance tasks with Pearson Guidelines.
RSA- Recognizing Student Achievement These tasks are found in most EDM lessons. They are indicated in the TLG in a yellow box with a checkmark and/or star. EDM suggests that RSA’s shown with a star be used for a grade. All of the 4th Grade RSA tasks are attached to your pacing guide as a separate document. It is recommended that the RSA be projected for students to copy and answer. Some RSAs will need to be printed (1 sheet per 2 students) due to the nature of the task. Please use your professional discretion.
SMJ- Student Math Journal
SMP- Standard for Mathematical Practice (CCSS Thinking/Reasoning Skills)
SRB- Student Reference Book
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TLG- Teacher’s Lesson Guide (Teacher’s Edition)
Vocabulary- EDM vocabulary for each lesson is provided. Vocabulary emphasized in CCSS is shown in BOLD font. All of the 4th Grade EDM Vocabulary words are attached to your pacing as a separate document.
Writing- Some EDM lessons include a writing component, usually asking students to explain how or why they determined their answers to a specific Math Box question. These writing prompts are a way for students to demonstrate their understanding of the concept. Justification of answers (process) is a critical component to CCSS. All of the 4th Grade Writing Prompts are attached to your pacing guide as a separate document.
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4th Grade Content Emphasis by Cluster
Not all content in a given grade is emphasized equally in the standards. Some clusters require greater emphasis than the others based on the
depth of the ideas, the time that they take to master, and/or their importance to future mathematics or the demands of college and career
readiness. In addition, an intense focus on the most critical material at each grade allows depth in learning, which is carried out through the
Standards for Mathematical Practice.
To say that some things have greater emphasis is not to say than anything in the standards can safely be neglected in instruction. Neglecting
material will leave gaps in student skill and understanding and may leave students unprepared for the challenges of a later grade. The following
table identifies the Major Clusters, Additional Clusters, and Supporting Clusters for 4th Grade.
Key Major Clusters o Supporting Clusters Additional Clusters
Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems.
o Gain familiarity with factors and multiples.
Generate and analyze patterns.
Number and Operations in Base Ten
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Number and Operations- Fractions
Extend understanding of fraction equivalence and ordering.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand decimal notation for fractions, and compare decimal fractions.
Measurement and Data
o Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
o Represent and interpret data
Geometric measurement: understand concepts of angle and measure angles.
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
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4th Grade Content Note on Measurement
According to student performance on CRTs, measurement is (historically speaking) very challenging for students within OKCPS. Due to the
sequence of EDM, measurement will not be adequately addressed before CRTs in April. While it may seem logical to bump up and teach the unit
on measurement before CRTs, due to the design of EDM, this is not recommended. It is our suggestion that teachers implement 5-10 minutes of
measurement instruction, practice, activities, and/or assessment each day. One resource available for this instruction is the “Ready Common
Core- Instruction” book, specifically Unit 5. Additional resources have been attached to this pacing guide for use as well.
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4th Grade Math Rubric
4 Exceeds Proficiency (This is “A” quality work)
My work shows that I have a thorough understanding of this math concept.
I solved the problem correctly using an efficient strategy.
I have evidence of how I checked my answer.
My explanation is clear and organized. I included my work, what I did and why I chose the operation or strategy, and/or used extended
strategies to solve equivalent math concepts.
I effectively used math vocabulary that was specific to the task.
3 Meets Proficiency (This is “B” quality work)
My work shows that I have a good understanding of this math concept.
I solved the problem correctly.
My explanation is clear. I included my work, what I did and why I chose the operation or strategy.
I used some math vocabulary.
2 Approaching Proficiency (This is “C” quality work)
My work shows some understanding of this math concept.
I solved part of the problem correctly or made some small errors.
My explanation is unclear or incomplete.
I used little math vocabulary or used math vocabulary incorrectly.
1 Developing Proficiency (This is “D” quality work)
My work shows that I need some help to understand this math concept.
I could not solve the problem or my answer is incorrect.
I did not explain how I solved the problem.
I did not use math vocabulary.
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Math Pacing Guide
Everyday Math 4TH GRADE
Instructional Dates: Unit: 1 Lessons: 1 – 4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Literature PASS CCSS
1-1 Introduction to the Student Reference Introduces students to the structure of and material covered in their Student Reference Book.
SMP3, SMP5, SMP6, SMP7 ----------- 4.NBT.2
n/a n/a Relation –Symbol Top-It (MM p. 6) Math Curse by John Scieszka
1-2 Points, Line Segments, Lines, and Rays To introduce tools for geometry and to review points, lines segments, lines, and rays.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.G.1
18% Additional point line segment endpoint line ray
Addition Top-It (SRB p.263, MM p. 506) When a Line Ends… A Shape Begins by Rhonda Greene and Gregory and the Magic Line by Dawn Piggot
1-3 Angles, Triangles, and Quadrangles To guide students in the construction of angles, triangles, and quadrangles and in the classification of quadrangles
SMP2, SMP3, SMP5, SMP6, SMP7 ----------- 4.G.1, 4.G.2
18% Additional TLG p. 33 MB # 5b
angle right angle triangle quadrilateral square rhombus rectangle parallelogram trapezoid
Subtraction Top-It (SRB p. 263 & 264, MM p. 506) Shape Up! By David Adler
1-4 Parallelograms To model the classification of quadrangles based on their properties
SMP2,SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
18% Additional TLG p. 39 MB # 3
parallel lines perpendicular lines
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----------- 4.G.1, 4.G.2
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: Unit: 1 Lessons: 5 -9 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
1-5 Polygons To provide opportunities to identify properties of polygons and distinguish between convex and nonconvex (concave) polygons; and to explore geometric definitions and classification.
SMP1, SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.G.2
18% Additional side angle pentagon polygon hexagon
The Greedy Triangle by Marilyn Burns
1-6 Drawing Circles with a Compass To provide practice using a compass
SMP1, SMP2, SMP5, SMP6, SMP7 ----------- 4.G.1, 4.G.2
18% Additional TG p. 50 MB # 2
compass circle center (of a circle)
Polygon Pair-Up (SRB p. 258, MM p. 496-497) Ed Emberley’s Picture Pie: A Cut and Paste Drawing Book by Ed Emberley
1-7 Circle Constructions To guide students in defining a circle; and to provide opportunities to explore designs with circles
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 ----------- 4.G.1, 4.G.2
18% Additional TG P.55 MB #1
Polygon Pair-Up (SRB p. 258, MM p. 496-497)
1-8 Hexagon and Triangle Constructions To guide students in the construction of figures with a compass and straight edge
SMP2, SMP5, SMP6, SMP7 ----------- 4.G.1, 4.G.2
18% Additional
1-9 Progress Check 1 To assess students’ progress on
4.G.1, 4.G.2, 4.NBT.1, 4.NBT.4
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mathematical content through the end of Unit 1
Performance Task or Project Based Learning
Assessment
Student Self Assessment Written Assessment Open Response 4.G.1- Questions 1-6, 13 4.G.1/4.G.2 – Questions 1 -2 4.G.2- Questions 1-2, 7-9, 12, 14-16 Assessment Handbook p. 56 (0-4 Rubric) 4.NBT.1/4.NBT.4- Questions 10-11
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Instructional Dates: Unit: 2 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
2 -1 A Visit to Washington D.C. To review examples of the various ways in which numbers are used; and to introduce the World Tour Project
SMP2, SMP4, SMP5, SMP6, ----------- 4.OA.5, 4.MD.2, 4.G.1, 4.G.2
14% Supporting TLG p. 87 MB # 5
Polygon Pair-Up (SRB p. 258, MM p. 496 – 497) How Tall, How Short, How Far Away? by David Adler
2 - 2 Many Names for Numbers To review equivalent names for whole numbers and name-collection boxes.
SMP1, SMP2, SMP3 --------- 4.OA.4
36% Major TLG p. 92 MB #3
equivalent name
Name That Number (SRB p. 254, MM p. 489) 12 Ways to Get 11 by Eve Merriam
2 - 3 Place Value and Whole Numbers To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers to one billion.
SMP2, SMP6, SMP7, SMP8 ----------- 4.NBT.1, 4.NBT.2, 4.G.1, 4.G.2
36% Major TLG p. 98 MB # 3
counting number whole number digit expanded notation (form)
The History of Counting by Denise Schmandt-Besserat
2 - 4 Place Value with a Calculator To provide practice with place-value skills using a calculator routine; and to review reading and writing large numbers.
SMP2, SMP5, SMP8 ----------- 4.NBT.1, 4.NBT.2
Fishing for Digits (SRB p. 242, MM p. 472)
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: Unit: 2 Lessons: 5-8 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
2-5 Organizing and Displaying Data To provide practice organizing and displaying data with a tally chart and determining the maximum, minimum, range, and mode of a set of data
SMP1, SMP2, SMP4, SMP6, SMP7, SMP8
14% n/a TLG p. 110 MB #4
guess estimate tally chart landmark maximum minimum range mode
Addition Top-it {Extended Facts Version} (SRB p. 263, MM p. 506)
2-6 The Median To review how to display a set of data with a line plot; and to review how to find the median of a set of data
SMP2, SMP4, SMP7, SMP8 -----------
14% n/a TLG p. 117 MB #2
line plot median
Subtraction Top-It {Extended-Facts Version} (SRB p. 263, MM p. 506)
2-7 Addition of Multi-digit Numbers To review the partial-sums algorithm used to solve multi-digit addition problems’; and to introduce a column-addition method similar to the traditional addition algorithm.
SMP1, SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.OA.3, 4.NBT.4
36% Major TLG p. 123 MB #4
partial-sums method column-addition method ballpark estimate
High-Number Toss (SRF p. 252, MM p. 487)
2-8 Displaying Data with Graphs To provide practice measuring length to the nearest half-centimeter; and to guide the construction and use of graphs for a set of collected data
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.MD.4, 4.G.2
14% Supporting
TLG p. 130 MB #1
bar graph
Performance Task or RSA and
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Project Based Learning Algorithm Project 1: U.S. Traditional Addition, TLG p. A1- A4
Assessment
Instructional Dates: Unit: 2 Lessons: 9-10 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
2-9 Subtraction of Multi-digit Numbers To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multi-digit subtraction problems; and to provide practice estimating differences for multi-digit subtraction problems.
SMP1, SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.OA.3, 4.NBT.4
36% Major TLG p. 136 MB #6B & #6E
trade-first method partial-differences method
Subtraction Target Practice (SRB p. 262, MM p. 504)
Flex Day
2-10 Progress Check 2 To assess students’ progress on mathematical content through the end of Unit 2
4.NBT.4 4.G.1 4.G.2 4.OA. 3 *MD *OA
Performance Task or Project Based Learning
RSA and Algorithm Project 3: U.S. Traditional Subtraction, TLG p. A10-14
Assessment
Student Self-Assessment Written Assessment 4.NBT.4- Questions 1-6, 19 4.G.1- Question 7 4.G.2- Question 8 4.OA.3- Question 20 *MD- Questions 9-15, 17-18 ***Questions 9-18 are Not Aligned with a specific 4th Grade CCSS*** *OA- Question 16 Open Response *MD ***Open Response Question is Not Aligned with a specific 4th Grade CCSS***
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Instructional Dates: Unit: 3 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
3-1 “What’s My Rule?” To Review “What’s My Rule?” problems
SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.OA.5
14% Additional TLG p. 161 MB #2
function machine input output rule “What’s My Rule?”
3-2 Multiplication Facts To review strategies for solving multiplication facts; to help students maintain automaticity with multiplication facts; and to introduce prime and composite numbers.
SMP1, SMP2, SMP5, SMP6, SMP7, SMP8 ----------- 4.OA.1, 4.OA.4
36% Major factors products factor pair multiples square numbers turn-around facts prime number composite number
Name That Number (SRB p. 254, MM p. 489) My Full Moon is Square by Elinor Pinczes and Sea Squares by Joy Hulme
3-3 Multiplication Facts Practice To introduce the 50 facts test; and to provide practice with multiplication facts.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.OA.1, 4.OA.4, 4.OA.5
36% Major TLG p. 173 MB #4A – 4D
Percent Playing Baseball Multiplication (SRB p. 231, MM p. 460)
3-4 More Multiplication Facts Practice To give a 50-facts test and record the results; and to provide practice with multiplication facts.
SMP1, SMP2, SMP4, SMP6 ----------- 4.OA.1, 4.OA.4 (SL)
36% Major TLG p. 178 MB #3C
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 3 Lessons: 5-8 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
3.5 Multiplication and Division To guide exploration of the relationship between multiplication and division; and to provide practice with division facts
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 ----------- 4.OA.1, 4.NBT.5, 4.NBT.6
36% Major dividend divisor quotient remainder fact family
Beat the Calculator (SRB p. 233, MM p. 461) Safari Park by Stuart Murphy
3.6 World Tour: Flying to Africa To provide practice interpreting data through the World Tour Project
SMP1, SMP2, SMP3, SMP4, SMP6 ----------- 4.MD.2, 4.NBT.4, 4.NBT.5
14% Major TLG p. 190 MB # 5
Multiplication Top It (SRB p. 264, MM p. 506) Nine O’Clock Lullaby by Marilyn Singer and Count Your Way Through the Arab World by Jim Haskins
3.7 Finding Air Distances To provide practice measuring length and using a map scale.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 ----------- 4.MD.2, 4.G.1, 4.G.2
18% Major TLG p. 196 MB #4
Polygon Pair-Up (SRB p. 258, MM 496-497)
3.8 A Guide for Solving Number Stories To introduce a simplified approach to solving number stories; and to provide practice solving number stories.
SMP1, SMP2, SMP3, SMP4, SMP6 ----------- 4.OA.3, 4.NBT.2, 4.NBT.4, 4.MD.2
36% Major TLG p. 201 MB #5
High-Number Toss (SRB p. 252, MM p. 487)
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 3 Lessons: 9-12 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
3-9 True or False Number Sentences To review the meanings of number sentences; and to provide practice determining whether number sentences are true or false.
SMP2, SMP3, SMP6 ----------- 4.NBT.2
14% Major number sentence true number sentence false number sentence
3-10 Parentheses in Number Sentences To review the use of parentheses in number sentences
SMP1, SMP2, SMP3, SMP6, SMP8
14% n/a TLG p. 212 MB #3
parentheses Name That Number (SRB p. 254, MM p. 489)
3-11 Open Sentences To introduce vocabulary and notation for open sentences; and to provide practice solving open sentences
SMP1, SMP2, SMP3, SMP5, SMP6 ----------- 4.OA.1, 4.OA.3, 4.MD.2
14% Major TLG p. 218 MB #1B
variable open sentence solve solution
3-12 Progress Check 3 To assess students’ progress on mathematical content through the end of Unit 3
4.OA.1 4.OA.3 4.OA.4 4.OA.5 4.NBT.2 4.NBT.4 *OA *MD
Performance Task or Project Based Learning
RSA
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Assessment
Student Self- Assessment Written Assessment 4.OA.1- Questions 1-3 4.NBT.2- Questions 4-7 4.NBT.4- Questions 19-20 4.OA.5- Question 21 4.OA.4- Questions 22, 31 4.OA.3- Questions 23-28 *OA- Questions 8-17 ***Questions 9-18 are Not Aligned with a specific 4th Grade CCSS*** *MD- Question 18 Open Response *OA ***Open Response Question is Not Aligned with a specific 4th Grade CCSS*** Assessment Handbook p. 72 (0 -4 Rubric)
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Instructional Dates: Unit: 4 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
4-1 Decimal Place Value To extend the base-ten place-value system to decimals.
SMP2, SMP5, SMP6, SMP7, SMP8 ----------- 4.NBT.1, 4.G.1, 4.G.2
36% Major Polygon Pair-Up (SRB p. 258, MM p. 496 – 497)
4-2 Review of Basic Decimal Concepts To review basic concepts and notation for decimals through hundredths
SMP1, SMP2, SMP5, SMP6 ----------- 4.NF.6
36% Major TLG p. 248 MB #4D
one whole unit tenth hundredth
Baseball Multiplication (SRB p. 231, MM p. 460)
4-3 Comparing and Ordering Decimals To guide students as they compare and order decimals in tenths and hundredths.
SMP2, SMP3, SMP5, SMP6 ----------- 4.NF.7
36% Major TLG p. 252 MB #4
decimal
Product Pile Up (SRB p. 259) Everything Kids’ Joke Book: Side-Splitting, Rib Tickling Fun by Michael Dahl and Kids’ Funniest Jokes by Sheila Anne Barry
4-4 Estimating with Decimals To explain why decimals are useful; and to guide estimation of sums and differences of decimals.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.7, 4.MD.2
36% Major trip meter speedometer
Number Top-It Decimals (SRB p. 256, MM p. 490)
Performance Task or RSA
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Project Based Learning
Assessment
Instructional Dates: Unit: 4 Lessons: 5-8 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
4-5 Decimal Addition and Subtraction To extend methods for whole-number addition and subtraction to decimals.
SMP1, SMP2, SMP3, SMP5, SMP6, SMP7 ----------- 4.OA.2, 4.MD.2
36% Supporting TLG p. 264 MB #4E
4-6 Decimals in Money To provide practice adding and subtracting decimals to compute balances in a savings account.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.MD.1, 4.MD.2
18% Supporting TLG p. 269 MB # 3
deposit withdrawal balance interest
Name That Number (SRB p. 254, MM p. 489)
4-7 Thousandths To extend basic concepts and notation for decimals through thousandths.
SMP1, SMP2, SMP4, SMP6 ----------- 4.NBT.1, 4.NF.6, 4.NF.7
36% n/a thousandths Count Your Way Through Africa by Jim Haskins
4-8 Metric Units of Length To review the relationships among metric units of length; and to guide students as they work with metric measurements
SMP2, SMP4, SMP5, SMP6 ----------- 4.NBT.1, 4.MD.1
18% Supporting TLG p. 281 MB #6A
centimeter (cm) meter (m) millimeter (mm) decimeter (dm)
Fishing for Digits (SRB p. 242, MM p. 472) Inchworm and a Half by Elinor Pinczes and Millions to Measure by David Schwartz
Performance Task or Project Based Learning
RSA and Algorithm Project 2: US Traditional Addition (Decimals), TLG p. A5 – A9
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Instructional Dates: Unit: 4 Lessons: 9-11 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
4-9 Personal References for Metric Length To assist students as they establish personal references for metric units of length
SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.7, 4.MD.1
18% Supporting TLG p.287 MB#2
personal measurement reference
Number Top-It {Decimals} (SRB p.256, MM p. 491 & 506)
4-10 Measuring In Millimeters To guide students as they measure lengths to the nearest millimeter; and to provide practice converting measurements between millimeters and centimeters
SMP1, SMP4, SMP5, SMP6 ----------- 4.MD.1
18% n/a If you Hopped Like a Frog by David M. Schwartz
Flex Day
4-11 Progress Check 4 To assess students’ progress on mathematical concepts through the end of Unit 4
Performance Task or Project Based Learning
RSA and Algorithm Project 4: US Traditional Subtractions (Decimals), TLG p. A15 – A20
Assessment
Student Self Assessment Written Assessment 4.NF.7- Questions 1-7, 4.MD.2*- Questions 3-4, 13-18, 4.OA.4- Questions 11-12, 4.OA.3- Questions 19-22 4.NF.6- Questions 23-24 4.MD.2- Question 28 4.NF.6 & 7- Question 29 *MD- Questions 8-10, 26-27 ***Questions 8-10, 25-27 are Not Aligned with a specific 4th Grade CCSS*** *NF- Questions 25 Open Response
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4.MD.2- Questions 1-2 Assessment Handbook p. 80 (0 -4 Rubric)
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Instructional Dates: Unit: 5 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
5-1 Extended Multiplication Facts To extend basic multiplication facts to products of ones and tens and products of tens and tens.
SMP1, MP2, SMP3, MP4, SMP5, MP6, SMP7, SMP8 ----------- 4.OA.1, 4.OA.2, 4.NBT.1
36% Major TLG p.318 MB #2a
extended multiplication facts
Beat the Calculator (SRB p.233, MM p.461) Moira’s Birthday by Robert Munsch and Ten Times Better by Richard Michelson
5-2 Multiplication Wrestling To provide practice with extended multiplication facts; to introduce the basic principles of multiplication with multi-digit numbers.
SMP1, MP2, SMP3, MP4, SMP6, MP7, SMP8 ----------- 4.NBT.2, 4.NBT.5 4.MD.2
36% Additional Multiplication Wrestling (SRB p.253, MM p.488)
5-3 Estimating Sums To provide practice deciding whether estimation is appropriate in a given situation; and to provide practice estimating sums.
SMP1, MP3, SMP4, MP5, SMP6 ----------- 4.OA.3, 4.NBT.3, 4.MD.2
36% Major TLG p.329 MB#5
estimation round
Product Pile-Up (SRB p.259)
5-4 Estimating Products To provide practice estimating whether a product is in the tens, hundreds, thousands, or more.
SMP1,SMP3, SMP4, MP5, SMP6, SMP8 ----------- 4.NBT.3, 4.NBT.5, 4.MD.2
36% Major TLG p.335 MB# 5
rough estimate magnitude estimate
Multiplication Wrestling (SRB p.253, MM p.488)
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: Unit: 5 Lessons: 5-9 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
5-5 Partial- Products Multiplication (Part 1)
To review and provide practice with the partial products algorithm for 1-digit multipliers.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP8 ----------- 4.NBT.5
36% Major TLG p.341 MB# 2
Partial- products method Partial product
5-6 Partial- Products Multiplication (Part 2)
To introduce and provide practice with the partial products algorithm for 2-digit multipliers.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.NBT.5
36% Major TLG p.346 MB# 4a
Name That Number (SRB p.254, MM p.489)
5-7 Lattice Multiplication
To review and provide practice with the lattice method for Multiplication.
SMP2, SMP5, SMP6, SMP7, SMP8 ----------- 4.NBT.5, 4.MD.2
36% Major TLG p.353 MB# 1
Lattice Lattice method for multiplication
Multiplication Top-It (SRB p.264, MM p.506)
5-8 Big Numbers
To provide practice reading, writing, and comparing large numbers using patterns in the base-ten place-value system.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 ----------- 4.OA.3, 4.NBT.1, 4.NBT.2
36% Major TLG p.359 MB# 5
Million Billion
How Much Is A Million? and On Beyond a Million: An Amazing Math Journey By David Schwartz
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: Unit: 5 Lessons: 9-12 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
5-9 Powers of 10 To introduce exponential notation for powers of 10 as a way of naming the values of places in our base-ten system.
SMP2, SMP3, SMP4, SMP6, SMP7, SMP8 ----------- 4.NBT.2, 4.G.1, 4.G.2
36% Major TLG p. 365 MB # 3
Scientific notation (base 10 numerals) Powers of 10 exponents
Polygon Pair Up (SRB p. 258, MM p. 496 – 497)
5-10 Rounding and Reporting Large Numbers
To discuss sensible ways of reporting a count when a large number of items has been counted; and to practice rounding numbers
SMP1, SMP3, SMP4, SMP5, SMP6 ----------- 4.NBT.3
36% Major Rounding (to a certain place)
5-11 Comparing Data
To guide students as they look up and compare numerical data, including geographical measurements.
SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.OA.3
14% n/a
5-12 Checking Progress 5 To assess students’ progress on mathematical content through the end of Unit 5.
Performance Task or Project Based Learning
RSA and Project 7: Numbers- Mayan Style, TLG p. 490 - 493
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Assessment
Student Self Assessment Written Assessment 4.OA.3 & 4.NBT.4- Questions 1-2, 4.NBT.5- Questions 3-6, 4.MD.2*- Questions 7-11, 4.OA.5- Questions 13-15, 4.OA.3 & 4.NBT.3 & 5- Questions 16-17, 4.NBT.5 & 4.OA.3- Questions 18-20, 4.MD.2- Question 21 *MD- Question 12 Open Response 4.OA.3 Assessment Handbook p. 88 (0 -4 Rubric)
Instructional Dates: Unit: 6 Lessons: 1-2 ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
6-1 Multiplication and Division Number Stories
To provide practice solving multiplication and division number stories by using diagrams to organize information.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.OA.2
36% Major TLG p. 404 MB # 2
Multiplication / division diagram
6-2 Strategies for Division
To guide the exploration of a variety of strategies to solve equal-grouping division number stories.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.NBT.6
36% Major Equal groups notation Quotient remainder
High Number Toss (SRB p. 252, MM p. 487)
Performance Task or Project Based Learning
RSA
Assessment
Oklahoma City Public Schools Pacing Guide 2014-2015
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Instructional Dates: Unit: 6 Lessons: 3-6 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
6-3 The Partial- Quotients Division Algorithm, Part 1
To introduce and provide practice with a “low stress” division algorithm for 1-digit divisors.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.NBT.6
36% Major TLG p. 417 MB # 4A
dividend divisor partial quotient
Division Dash (SRB p.241, MM p. 471)
6-4 Expressing and Interpreting Remainders
To introduce the expression of remainders as fractions or decimals; and to provide practice interpreting remainders in division problems.
SMP1, SMP2, SMP3, SMP4, SMP6 -----------
4.OA.3, 4.NBT.6
36% Major mixed number Division Dash (SRB p.241, MM p. 471) A Remainder of One by Elinor Pinczes
6-5 Rotations and Angles
To review rotations; and to guide students as they make and use a full-circle protractor.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, ----------- 4.MD.5a, 4.MD.5b
18% Additional
degree right angle
6-6 Using a Full-Circle Protractor
To provide practice using a full-circle protractor to measure and draw angles less than 360.
SMP2, SMP3, SMP5, SMP6 ----------- 4.MD.6
18% Additional
TLG p. 435 MB # 2
angle sides (of an angle) vertex (of an angle) rotation full-circle protractor
Division Dash (SRB p. 241, MM p. 471)
Performance Task or RSA
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Project Based Learning
Assessment
Instructional Dates: Unit: 6 Lessons: 7-10 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
6-7 The Half-Circle Protractor
To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw angles.
SMP2, SMP3, SMP4, SMP5, SMP6 ---------- 4.MD.6
18% Additional TLG p. 441 MB # 6
acute angle obtuse angle straight angle half-circle protractor
Sir Cumference and the Great Knight of Angleland by Cindy Neuschwander
6-8 Rectangular Coordinate Grids for Maps
To guide students in the use of letter-number pairs and ordered pairs of numbers to locate points on a grid; and to provide practice using a map scale.
SMP1, SMP2, SMP4, SMP5, SMP6 ----------- 4.MD.5a, 4.MD.5b, 4.MD.6, 4.MD.7
18% n/a TLG p. 447 MB # 2
index of locations letter number pair ordered number pair map scale
Angle Tangle (SRB p. 230, MM p. 457)
6-9 Global Coordinate Grid System
To introduce latitude and longitude; to provide practice finding the latitude and longitude of places on a globe and a map; and to identify places given the latitude and longitude.
SMP1, SMP4, SMP6 18% n/a sphere Latitude (lines) Longitude (lines)
Over & Up Squares (SRB p. 257, MM p. 494) Sea Clocks: The Story of Longitude by Louise Borden
6-10 The Partial- Quotients Division Algorithm, Part 2
To provide practice with a “low-stress” division algorithm for 2-digit divisors.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.OA.3, 4.NBT.6
36% Major
Performance Task or Project Based Learning
RSA and Algorithm Project 7: US Traditional Long Division- Part 1, TLG p. A 31 – A36
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Instructional Dates: Unit: 6 Lesson: 11 ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
6-11 Progress Check 6
To assess students’ progress on mathematical content through the end of Unit 6.
Flex Day
Performance Task or Project Based Learning
Project 1: Making a Cutaway Globe, TLG p. 466 – 469 Project 2: Using a Magnetic Compass, TLG p. 470 - 473
Assessment
Student Self Assessment Written Assessment 4.OA.3 & 4.NBT.6- Questions 1-4, 5 4.G.1- Questions 6-7 4.NBT.3- Question 10 4.MD.6- Questions 11-13 4.NBT.6- Questions 14-15 *MD- Question 8 ***Questions 8-9 are Not Aligned with a specific 4th Grade CCSS*** *OA- Question 9 Open Response 4.OA.3 Assessment Handbook p. 96 (0 -4 Rubric)
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Instructional Dates: Unit: 7 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
7-1 Review of Basic Fraction Concepts
To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions.
SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.3b
36% Major TLG p. 573 MB # 2
Whole (or ONE or unit) Mixed number Denominator Numerator Whole box
Product Pile-Up (SRB p. 259)
7-2 Fractions of Sets
To provide practice finding fractional parts of sets.
SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.4c
36% Major TLG p. 579 MB # 1
7-3 Probabilities When Outcomes Are Equally Likely
To review basic vocabulary and concepts of probability; and to introduce finding probabilities for events when all the possible outcomes are equally likely.
SMP1, SMP2, SMP4, SMP6, SMP8 ----------- 4.NF.4c
14% n/a Equally likely Outcome Event Probability Favorable outcome
Fraction Of (SRB p. 344-345, MM p. 477- 480)
7-4 Pattern- Block Fractions
To guide students as they find fractional parts of polygonal regions.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.3a, 4.NF.3b, 4.MD.2
36% Major TLG p. 590 MB # 3B
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 7 Lessons: 5-8 (Day 5 Flex Day) **Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
7-5 Fraction Addition and Subtraction
To guide students in the use of pattern blocks to add and subtract fractions and mixed numbers.
SMP1, SMP2, SMP5, SMP6 ----------- 4.NF.3a, 4.NF.3b, 4.NF.3c, 4.NF.3d
36% Major Angle Tangle (SRB p. 230, MM p. 457) Gator Pie by Louise Matthews
7-6 Many Names for Fractions
To provide practice identifying equivalent fractions.
SMP2, SMP5, SMP6, SMP7 ----------- 4.NF.1, 4.NF.2, 4.NF.3a, 4.NF.3c, 4.NF.3d
36% Major Grab Bag (SRB p. 249, MM p. 483 – 485)
7-7 Equivalent Fractions
To guide the development and use of a rule for generating equivalent fractions.
SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.NF.1, 4.NF.2, 4.NF.3a, 4.NF.3c, 4.NF.3d
36% Major TLG p. 606 MB # 1
Equivalent fractions Equivalent fractions rule
7-8 Fractions and Decimals
To provide experience renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.1, 4.NF.5, 4.NF.6
36% Major TLG p. 613 MB # 2
Performance Task or RSA
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Project Based Learning
Assessment
Instructional Dates: Unit: 7 Lessons: 9-12 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
7-9 Comparing Fractions
To provide practice ordering sets of fractions.
SMP2, SMP3, SMP4, SMP6 ----------- 4.NF.1, 4.NF.2, 4.NF.5*
36% Major TLG p. 619 MB # 3
Over & Up Squares (SRB p. 297, MM p. 494)
7-10 The ONE for Fractions
To guide students as they find the whole, or the ONE, for given fractions.
SMP2, SMP4, SMP5, SMP6 ----------- 4.NF.1, 4.NF.2, 4.NF.3a, 4.NF.3c, 4.NF.3d
36% Major TLG p. 624 MB # 5
Fraction Top It (SRB p. 247, MM p. 506)
7-11 Probability, Fractions, and Spinners
To review basic ideas of probability, including fairness and expected results; and to guide the application of fractions to spinners.
SMP2, SMP3, SMP4, SMP5, SMP6
14% n/a Fair (die or spinner) Equal chance Expect Equally (more, less) likely
Chances Are (SRB p. 236 – 237, MM p. 462-466) Do You Wanna Bet? Your Chance to Find Out about Probability by Jean Cushman
7-12 The Cube-Drop Experiment
To guide students in comparing predicted and actual results from an experiment with equally likely outcomes.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6 ----------- 4.NF.3b, 4.NF.6
14% n/a TLG p. 636 MB #2E
Count Your Way Through Brazil by Kathleen Benson and Jim Haskins
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: J Unit: 7/8 Lessons: 12a-13, 1-2 (Day 5 Flex Day) **Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
7-12a *Consider spending 2 days on this lesson* Multiplying Fractions by Whole
To apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.NF.4a, 4.NF.4b, 4.NF.4c
36% Major Multiple Equation
7-13 Progress Check 7
To assess students’ progress on mathematical content through the end of Unit 7.
8-1 Kitchen Layouts and Perimeters
To provide experience measuring and adding distances; finding the median and other landmarks of a set of measurements; and finding the perimeters of triangles.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 ----------- 4.MD.3
18% n/a TLG p. 662 MB # 4
Time – and – motion study Work triangle perimeter
Fraction Match (SRB p. 243, MM p. 389, 473 – 476)
8-2 Scale Drawings
To provide practice measuring distance to the nearest foot; and to provide experience creating a scale drawing on a grid using measurements and a given scale.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP8 ----------- 4.NF.4a, 4.NF.4b, 4.NF.4c
18% n/a Rough floor plan Scale drawing scale
Actual Size by Steve Jenkins
Performance Task or Project Based Learning
RSA
Assessment Student Self Assessment Written Assessment
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4.NF.1- Questions 1-3 , 4.NF.2- Questions 4-8, 18, 4.NF.3a & 4.NF.3b- Questions 9-11, 4.NBT.5- Questions 14-15 4.NBT.6- Questions 16-17 4.NF.2- Question 18 4.NF.3c- Questions 20-23 4.NF.3d- Question 24 *MD- Questions 12, 19 ***Questions 12-13, 19 are Not Aligned with a specific 4th Grade CCSS*** *G- Question 13 Open Response 4.NF.1, 4.NF.3a, 4.NF.3d Assessment Handbook p. 106 (0 -4 Rubric)
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Instructional Dates: Unit: 8 Lessons: 3-6 (Day 5 Flex Day) **Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
8-3 Area
To review basic area concepts; to provide practice estimating the area of a polygon by counting unit squares and using a scale drawing to find area.
SMP3, SMP4, SMP6, SMP7 ----------- 4.MD.3
18% Additional TLG p. 673 MB # 2C
area square units
Fraction Top It (SRB p. 247, MM p. 506)
8-4 What Is the Area of My Skin?
To demonstrate how to estimate the area of a surface having a curved boundary; and to provide practice converting from one square unit to another.
SMP1, SMP2, SMP4, SMP6 ----------- 4.MD.1, 4.MD.2
18% n/a TLG p. 679 MB # 6
8-5 Formula for the Area of a Rectangle
To guide the development and use of a formula for the area of a rectangle.
SMP2, SMP5, SMP6, SMP7, SMP8 ----------- 4.MD.3
18% Supporting length width height area formula (unknown quantity)
Castle by David Macaulay
8-6 Formula for the Area of a Parallelogram
To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram.
SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 ----------- 4.NF.4c, 4.MD.7
18% n/a base height perpendicular
Performance Task or RSA
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Project Based Learning
Assessment
Instructional Dates: Unit: 8 Lessons: 7-9 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
8-7 Formula for the Area of a Triangle
To guide the development and use of a formula for the area of a triangle.
SMP2, SMP4, SMP5, SMP6, SMP7, SMP8 ----------- 4.G.1, 4.G.2
18% n/a TLG p. 697 MB # 4
equilateral triangle isosceles triangle scalene triangle right triangle base height
8-8 Geographical Area Measurement
To discuss how geographical areas are measured; and to provide practice using division to compare two quantities with like units.
SMP2, SMP4, SMP5, SMP6, SMP7 -----------
18% n/a TLG p. 702 MB # 4D
Grab Bag (SRB p. 249, MM 483 – 495)
Flex Day
8-9 Progress Check 8
To assess students’ progress on mathematical content through the end of Unit 8.
Performance Task or Project Based Learning
RSA
Assessment
Student Self Assessment Written Assessment 4.MD.3- Questions 1-2, 5-7, 14, 4.NF.3d- Questions 8-11, *MD- Question 3-4, 12-13, 15-18 Open Response
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*MD Assessment Handbook p. 114 (0 -4 Rubric)
Instructional Dates: Unit: 9 Lessons: 1-4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
9-1 Fractions, Decimals, and Percents
To guide the use of percents in describing real life situations; and to reinforce naming equivalencies among fractions, decimals, and percents.
SMP1, SMP2, SMP4, SMP6 ----------- 4.NF.6
36% Major TLG p. 726 MB # 5
percent 100% box
Fraction Math (SRB p. 243, MM 278, 473 – 476)
9-2 Converting “Easy” Fractions to Decimals and Percents
To reinforce renaming fourths, fifths, and tenths as decimals and percents; and to introduce solving percent problems by using equivalent fractions.
SMP1, SMP2, SMP4, SMP6 ----------- 4.NF.1, 4.NF.5, 4.NF.6, 4.MD.3
36% Major TLG p. 732 MB # 5
Rugs & Fences (SRB p. 260 – 261, MM p. 498 – 502)
9-3 Using a Calculator to Convert Fractions to Decimals
To introduce renaming any fraction as a decimal by using a calculator; and to reinforce fraction/percent equivalencies for fourths, fifths, and tenths.
SMP1, SMP5, SMP6, SMP7, SMP8 ----------- 4.NF.6
Foundation TLG p. 737 MB # 5
Terminating decimal Repeating decimal
Fraction Percent Concentration (SRB p. 246, MM p. 481 – 482)
9-4 Using a Calculator to Rename Fractions as Percents Renaming fractions as percents using a calculator; introducing solving number stories involving discounts expressed as percents.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP7, SMP8 ----------- 4.MD.1, 4.MD.2
Foundation TLG p. 742 MB # 3
List price Discount % of discount Fraction of discount Sales price
Performance Task or RSA
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Project Based Learning
Assessment
Instructional Dates: Unit: 9 Lessons: 5-8 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
9-5 Conversions among Fractions, Decimals, and Percents
To reinforce the use of a data table; and to reinforce renaming fractions as percents using a calculator and renaming decimals as percents.
SMP2, SMP4, SMP5, SMP7, SMP8 ----------- 4.MD.7
36% Major Piece = Part = Portion: Fractions – Decimals = Percent by Scott Gifford and Count Your Way Through China by Jim Haskins
9-6 Comparing the Results of a Survey
To guide the organization and tabulation of survey data; and to introduce the use of percents to compare quantities expressed as fractions with unlike denominators.
SMP1, SMP2, SMP3, SMP4, SMP6, SMP7 ----------- 4.MD.2
14% n/a
9-7 Comparing Population Data
To provide practice ranking and comparing data that are reported as percents and displaying ranked data by coloring maps.
SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7
14% n/a
9-8 Multiplication of Decimals
To introduce multiplication of decimals by whole numbers; and to reinforce the partial-products and lattice methods for multiplication.
SMP1, SMP2, SMP4, SMP6, SMP7 ----------- 4.MD.2
36% Major TLG p. 766 MB #2B
Over & Up Squares (SRB p. 257, MM p. 494)
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Performance Task or Project Based Learning
RSA and Algorithm 6: U.S. Traditional Multiplication- Decimals, TLG p. A26 – A30
Assessment
Instructional Dates: Unit: 9/10 Lessons: 9-10, 1-2 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
9-9 Division of Decimals
To introduce division of decimals by whole numbers; and to reinforce the partial-quotients division algorithm.
SMP1, SMP2, SMP4, SMP6, SMP7, SMP8 ---------- 4.NBT.6, 4.MD.2, 4.G.1, 4.G.2
36% Major TLG p. 772 MB # 5
Polygon Pair-Up (SRB p. 258, MM p. 496 – 497)
9-10 Progress Check 9
To assess students’ progress on mathematical content through the end of Unit 9.
Flex Day
Flex Day
Performance Task or Project Based Learning
Algorithm 8: US Traditional Long Division- Part 2, TLG p. A37 – A42
Assessment
Student Self Assessment Written Assessment 4.NF.6- Questions 2, 6 4.MD.3- Question 7 4.MD.2- Questions 11- 16 *NF- Questions 1, 3-5 ***Questions 1, 3-5, 8-10 are Not Aligned with a specific 4th Grade CCSS*** *MD- Questions 8-9 *OA- Question 10 Open Response
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*OA & NF ***Open Response is Not Aligned with a specific 4th Grade CCSS*** Assessment Handbook p. 122 (0 -4 Rubric)
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Instructional Dates: Unit: 10 Lessons: 1 - 4 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
10-1 Explorations with a Transparent Mirror
To guide the exploration of reflections of 2- dimensional figures.
SMP2, SMP5, SMP6 ----------- 4.NF.5
18% n/a TLG p. 797 MB #4C
Transparent mirror Recessed Preimage Image congruent
Over & Up Squares (SRB p. 257, MM p. 494) Shadows & Reflections by Tana Hoban
10-2 Finding Lines of Reflection
To guide the exploration of reflections; and to provide practice identifying lines of reflection.
SMP4, SMP5, SMP6 -----------
18% n/a reflection line of reflection
Angle Tangle (SRB p. 230, MM p. 457)
10-3 Properties of Reflections
To guide the discovery of basic properties of reflections.
SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.OA.5
18% n/a TLG p. 808 MB #5
line of reflection
Count Your Way Through Japan / Indian / Russia / Israel by Jim Haskins Reflections and Ann Jonas
10-4 *Consider spending 2 days on this lesson* Line Symmetry
To guide exploration of the connection between reflections and line symmetry
SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.NF.4a, 4.NF.4b, 4.NF.4c, 4.NF.5, 4.G.3
18% Additional Line of symmetry Symmetric Rotation (turn) symmetry
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 10 Lessons: 3-6 (Day 5 Flex Day) ***Consider implementing Measurement instruction (Can use “Ready Common Core” Unit 5)
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
10-5 Frieze Patterns
To guide the application of reflections, rotations, and translations.
SMP2, SMP4, SMP5, SMP6, SMP7 -----------
18% n/a TLG p.819 MB# 3
frieze pattern reflection (flip) translation (slide) rotation (turn)
Polygon Pair-Up (SRB p.258, MM p.496-497)
10-6 Positive and Negative Numbers
To introduce addition involving negative integers.
SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.NF.6, 4.MD.2
36% n/a TLG p.826 MB# 5
opposite (of a number) credit debit
Credits/Debits (SRB p.238, MM p.468) How the Second Grade Got $8205.50 to Visit the Statue of Liberty by Nathan Zimelman
10-7 Progress Check 10
To assess students’ progress on mathematical content through the end of Unit 10
Flex Day
Performance Task or Project Based Learning
Project 4: Making a Quilt, TLG p.959-963
Assessment
Student Self Assessment Written Assessment 4.G.3- Questions 1-4,4.NF.6*- Question 9, 4.NF.2 & 4.NF.3d- Question 10, 4.MD.6 & 4.G.1- Question 13 *G- Questions 5-8 *OA- Questions 11-12, 14
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Open Response Assessment Handbook p. 130 (0 -4 Rubric)
Instructional Dates Unit: Lessons: CRT/CCSS Review
Lesson Title/Objective
Focus Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
Flex Day
Flex Day
Flex Day
Flex Day
Flex Day
Performance Task or Project Based Learning
Assessment
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Instructional Dates Unit: 11 Lessons: 1-2 **State Testing Window**
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
11-1 Weight
To review grams and ounces as units of mass and weight; and to guide the estimation and measurement of weight in grams and ounces.
SMP2, SMP4, SMP5, SMP6 ----------- 4.MD.1, 4.MD.2
18% Supporting gram ounce
Is a Blue Whale the Biggest Thing There Is? by Robert Wells and Count Your Way Through Mexico by Jim Haskins
11-2 Geometric Solids
To review the properties of common geometric solids.
SMP2, SMP5, SMP6, SMP7 -----------
18% n/a TLG p.858 MB# 6
geometric solid rectangular prism triangular prism cone sphere square pyramid face congruent curved surface edge vertex (vertices) cube flat surface
Mummy Math: An Adventure in Geometry by Cindy Neuschwander
Flex Day
Flex Day
Flex Day
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 11 Lessons: 5-8 (Day 5 Flex Day) **State Testing Window**
Lesson Title/Objective
Focus
Common Core Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
11-3 Constructing Geometric Solids
To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons.
SMP2, SMP4, SMP5, SMP6, SMP7, ----------- 4.NF.3d, 4.MD.4
18% n/a pyramid prism polyhedron regular polyhedron triangular pyramid tetrahedron dodecahedron
11-4 A Volume Exploration
To review concepts and units of volume.
SMP2, SMP4, SMP5, SMP6, SMP7 ----------- 4.MD.1
18% Supporting TLG p.870 MB# 5
cubic units volume dimensions surface area
Credits/Debits (SRB p.238, MM p.468)
11-5 A Formula for the Volume of Rectangular Prisms
To guide the development and use of a formula for finding the volume of a rectangular prism.
SMP2, SMP6, SMP7, SMP8 ----------- 4.MD.3
18% Supporting TLG p.876 MB# 3
rectangular prism volume formula
Chances Are (SRB p.236-237, MM p.462-466)
Flex Day
Flex Day
Performance Task or Project Based Learning
RSA
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Instructional Dates: Unit: 11 Lessons: 11-6 – 12-1 (Day 5 Flex Day)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
11-6 Subtraction of Positive And Negative Numbers
To review addition of positive and negative integers; and to introduce subtraction of positive and negative integers.
SMP2, SMP5, SMP6, SMP8 -----------
36% n/a Credits/Debits {Advanced Version} (SRB p.239, MM p.469)
11-7 Capacity and Weight
To review units of capacity
SMP2, SMP4, SMP5, SMP6 ----------- 4.MD.1, 4.MD.2
18% Supporting cup pint quart gallon capacity liter milliliter
A Grain of Rice by Helena Pittman and Fannie in the Kitchen: The Whole Story from Soup to Buts by Deborah Hopkinson and One Grain of Rice: A Mathematical Folktale by Demi and The King’s Chessboard by David Birch
11-8 Progress Check 11
To assess students’ progress on mathematical content through the end of Unit 11.
12-1 Introducing Rates
To introduce rates; and to provide practice collecting and comparing rate
SMP2, SMP4, SMP6, SMP7 ----------- 4.MD.2,
14% Major rate per
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data. 4.NF.2, 4.NF.7
Performance Task or Project Based Learning
Project 6: Building and Viewing Structures, TLG p.967-971
Assessment
Student Self Assessment Written Assessment 4.MD.2- Questions 7-10 4.MD.1- Question 11 4.MD.1 & 4.NBT.5- Questions 13-14 *G- Questions 1-6 ***Questions 1-6, 12, 15-26 are Not Aligned with a specific 4th Grade CCSS*** *MD- Question 12 *OA- Questions 15-26 Open Response 4.MD.2 Assessment Handbook p. 138 (0 -4 Rubric)
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Instructional Dates Unit: 12 Lessons: 2 – 5 (Day 5 Flex Day)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit
PASS CCSS
12-2 Solving Rate Problems
To provide practice using a rate table to record rate information; and to provide practice solving rate problems.
SMP1, SMP2, SMP3, SMP4, SMP6, SMP8
4.OA.4, 4.OA.5, 4.MD.2
14% Major TLG p.918 MB# 5
rate table unit rate
Credits/Debits (SRB p.239, MM p.469) If Dogs Were Dinosaurs by David Schwartz
12-3 Converting Between Rates
To provide practice checking the validity of data by converting the data to more accessible rates.
SMP1, SMP2, SMP3, SMP4, SMP6, SMP8
4.OA.3, 4.MD.1
14% Major TLG p. 924 MB# 5
The Compass in Your Nose and Other Astonishing Facts about Humans by Marc McCutcheon
12-4 Comparison Shopping: Part 1 To introduce calculating the unit price for a product; and to provide practice comparing unit prices and identifying information needed for comparison shopping.
SMP1, SMP2, SMP3, SMP4, SMP6, SMP8
4.MD.1, 4.MD.2
36% Major consumer products services comparison shopping unit price
Name That Number (SRB p.354, MM p.489)
12-5 Comparison Shopping: Part 2
To provide practice calculating and comparing unit prices that involve fractions of cents.
SMP1, SMP2, SMP4, SMP5, SMP6, SMP7
4.MD.1, 4.MD.2
36% Major TLG p. 934 MB# 2b
Fraction Top-It (SRB p.247, MM p.506)
Performance Task or Project Based Learning
RSA
Assessment
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Instructional Dates: Unit: 12 Lessons: 6 – 7 (Day 5 Flex Day)
Lesson Title/Objective
Focus
Common Core
Standards
OCCT Testing % Writing Vocabulary
Games Lit PASS CCSS
12-6 World Tour Wrap-Up
To reflect on this year’s World Tour experiences
SMP2, SMP4, SMP6
4.OA.3, 4.NBT.6, 4.MD.2
n/a n/a The Grapes of Math by Greg Tang
12-7 Progress Check 12
To assess students’ progress on mathematical content through the end of Unit 12.
Performance Task or Project Based Learning
Project 5: Which Soft Drink Is the Best Buy?, TLG p.964-966
Assessment
Student Self Assessment Written Assessment 4.OA.4- Questions 1-2, 4-5 4.MD.2- Question 3, 9, 12-14 4.MD.1- Question 8 4.NF.2- Questions 11 *OA- Questions 6-7, 10 Open Response 4.MD.2 Assessment Handbook p. 146 (0 -4 Rubric)