Unit 3 Math Plans
Lesson: 3.1 What's My Rule?
Content Standards: 4.OA.5
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP2: Reason abstractly and quantitatively.
SMP8: Look for and express regularity in repeated reasoning.
GMP2.2: Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use.
GMP8.2: Use properties, rules and shortcuts to solve problems
Materials/Prep: Journal, MM pg. 407 Transparency
Vocabulary: function machine, input, output, rule, and “What’s My Rule?”
Instructional Objective: TSWBAT review “What's My Rule?” problems
Math message: TM pg 159
1. Teaching the lesson (whole group):
Math Message Follow Up TM pg 159
Reviewing Variations of “What's My Rule?” Routine TM pg 160
Complete “What's My Rule?” Tables TM pg 160, Journal pg. 53
2. Ongoing learning & practice:
Math Boxes: 3.1RSA MJ 53 Problems 1-2 (What’s My Rule? Table)
Study Link page: 3.1
3. Differentiation Options:
Readiness: Modeling Functional Relationships with Pattern Blocks MM 73
Enrichment: Solving a Perimeter Problem MM 74
Extra Practice: Completing “What’s My Rule” Tables MM 407
Lesson: 3.2 Multiplication Facts (MUST DO)
Content Standards: 4.OA.1, 4.OA.4, 4.OA.5
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP2: Reason abstractly and quantitatively.
SMP5: Use appropriate tools strategically.
GMP2.2: Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and other people use.
GMP5.2: Use mathematically tools correctly and efficiently.
Materials/Prep: Journal, SRB, scissors, calculator, plastic bags, fact triangles
Vocabulary: factor, product, factor pair, multiples, square numbers, turn-around facts
Instructional Objective: TSWBAT review strategies for solving multiplication facts; and work toward instant recall of the multiplication facts.
Math message: Cut out multiplication triangles
1. Teaching the lesson (whole group):
Math Message Follow Up TM pg 164
Reviewing the Multiplication/Division Facts Table TM pgs 164-165 - MM 408
Factors Pairs and Prime Numbers: SRB pg 8, MJ pg 56, MM pg 409
Reviewing the Models of Multiplication: SRB pgs 178A-B
Sorting Fact Triangles TM pg 167 MM 409
2. Ongoing learning & practice:
Playing Name That Number TM pg 167 - SRB 254 - MM 489 (RSA) –Use numerical expressions involving one or more of the basic four arithmetic operations to give equivalent names for whole numbers.
Math Boxes: 3.2 - MJ 57
Study Link page: 3.2
3. Differentiation Options:
Readiness: Making Rectangular Arrays MM 76
Extra Practice: Playing Buzz and Bizz-Buzz SRB 234
ELL: Building a Math Word Bank
Lesson: 3.3 Multiplication Facts Practice
Content Standards: 4.OA.1, 4.OA.4, 4.OA.5, 4.MD.1, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP4: Model with mathematics.
SMP7: Look for and make use of structure.
GMP4.1:Apply mathematical ideas to real-world situations.
GMP7.1: Fine, extend, analyze, and create patterns.
Materials/Prep: MM pg. 410, 414, 416 & 460, colored pencils, journal, SRB
Vocabulary: percent
Instructional Objective: TSWBAT practice using multiples with multiplication facts.
Math message: TM170
1. Teaching the lesson (whole group):
Math Message Follow-Up MJ 58
Study Link: 3.3
2. Ongoing learning & practice:
Math Boxes:3.3 RSA #3 Estimating solutions for whole number addition and subtraction problems.
Play Baseball Multiplication SRB 231-232 – MM 460
3. Differentiation Options:
Readiness: Exploring Skip Count Patterns on the Hundreds Grid MM 79
Enrichment: Calculating Combinations MM 80
Extra Practice –
- Exploring Prime and Composite Numbers MM 77 and 403
- Playing Multiplication Top-It SRB 264 MM 506
Lesson: 3.4 More Multiplication Facts Practice
Content Standards: 4.OA.1
Mathematical Practices: SMP1, SMP2, SMP4, SMP6, SSMP8
Focus on SMP2:Reason abstractly and quantitatively.
SMP6: Attend to precision.
GMP2.2:Explain the meaning of numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and other use.
GMP6.3: Be accurate when you count, measure, and calculate.
Materials/Prep: MM 416 and 417 (graph paper) Journal, MM pg. 81, Fact Triangles, colored pencils
Key Vocabulary: n/a
Instructional Objective: TSWBAT give a 50-facts test and record the results; and to practice the multiplication facts.
Math message: TM 176
Mental Math and Reflexes: RSAMultiplication Facts and Extended Facts
1. Teaching the lesson (whole group):
Math Message Follow-Up MM 81
Playing Buzz and Bizz Buzz SRB 234
2. Ongoing learning & practice:
Math Boxes: 3.4
Study Link: 3.4
3. Differentiation Options:
Readiness: Finding the Mean MM83
Enrichment: Comparing the Mean and Median MM 84
Lesson: 3.5 More Multiplication and Division
Content Standards: 4.OA.1, 4.NBT.6, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7
Focus on SMP1:Make sense of problems and persevere in solving them.
SMP5: Use appropriate tools strategically.
GMP1.6: Connect mathematical ideas and representations to one another.
GMP5.2: Use mathematical tools correctly and efficiently.
Materials/Prep: Journal, fact triangles
Key Vocabulary: dividend, divisor, quotient, remainder, fact family
Instructional Objective: TSWBAT explore the relationship between multiplication and division; and practice division facts.
Math message: TM 181
1. Teaching the lesson (whole group):
Math Message Follow-Up SRB 178A-178B
Exploring the Relationship between Multiplication and Division MJ61; MM 409
- RSA MJ 61 #1
Using the Multiplication\Division Facts Table for Division MJ 61 MM 408
Practicing Division Facts with Fact Triangles
2. Ongoing learning & practice:
Playing Beat the Calculator SRB 233 MM 461
Math Boxes: 3.5
Study Link page-3.5
3. Differentiation Options:
Readiness: Playing Division Arrays SRB 240 MM 470
Enrichments: Exploring the Relationship Between Division and Fractions MM 86
Extra Practice: Practicing with Fact Families MM 418
ELL Support: Creating a Poster
Lesson: 3.6: World Tour – Flying to Africa
Content Standards: 4.NBT.2, 4.NBT.3, 4.MD.1, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP4: Model with mathematics.
SMP5: Use appropriate tools strategically.
GMP4.1: Apply mathematical ideas to real worlds situations.
GMP5.2: Use mathematical tools correctly and efficiently.
Materials/Prep: MJ 171 (optional) MJ 172-175; SRB 276-277, 279-283,297, 302-305, Slate, Globe, Classroom World Map
Instructional Objective: To provide practice interpreting data through the world tour project.
1. Teaching the lesson (whole group):
Mental Math
2. Ongoing learning & practice (Partner or group work):
Solving Elapsed-Time Problems; MJ 63A-B
Playing Multiplication Top-It; SRB 264 MM 506
Math boxes: 3.6RSA #4 Multi-Digit Addition and Subtraction Problems
Study Links: 3.6
3. Differentiation Options:
Readiness: Exploring Time Zones SRB 276-277
Enrichment: Playing Seega SRB 309 MM 503
Lesson: 3.7 Finding Air Distances
Content Standards: 4.MD.2, 4.G.1, 4.G.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7
Focus on SMP5: Use appropriate tools strategically.
SMP6:Attend to precision.
GMP5.3:Estimate and use what you know to check the answers you find using tools.
GMP6.2: Use the level precision you need for your problem.
Materials/Prep: MJ 64, globes, slate, classroom world map, cloth tape measure, calculator
Vocabulary: N/A
Instructional Objective: TSWBAT practice measuring length and using a map scale
Math message: TM pg 193
1. Teaching the lesson (whole group):
Math Message Follow Up TM pg 193
Finding the Air Distances between Cities
Finding More the Air Distances between Cities (Journal pg 64) RSA Journal pg 64 problem 4
2. Ongoing learning & practice:
Partner Activity: Play Polygon Pair-Up SRB 258, MM 496-497
Math Boxes: 3.7
Study Link page - 3.7
3. Differentiation Options:
Readiness: Measuring to the nearest half inch; MM 89
Enrichment: Comparing Map Scales SRB 282-293, MM 90
Extra Practice: 5-Minute Math 5MinMath 54-55, 60
Lesson: 3.8 A Guide for Solving Number Stories
Content Standards: 4.OA.3, 4.NBT.2, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP1: Make sense of problems and persevere in solving them.
GMP1.2: Make a plan for solving your problem.
GMP1.5: Check whether your solution makes sense.
Materials/Prep: MJ 66-67, SRB 175, MM 388 or 389 (opt), MM422, MM 423, Game
Read page 175 of the reference book before class, Poster- Guide for Solving Number Stories (MM 422)
Vocabulary: N/A
Instructional Objective: TSWBAT get an introduction to a simplified approach to solving number stories; practice solving number stories.
Math message: TM199
1. Teaching the lesson (whole group):
Math Message Follow Up TM 199, SRB 175, MM 422
Solving Number Stories about Air Distances – journal pg 66-67, MM 423
RSA – see TM201 Math Log or Exit Slip- Explain a strategy for solving an addition number story (problem 3 on MJ 67)
2. Ongoing learning & practice:
Play High-Number Toss SRB 252, MM 487
Math Boxes: 3.8
Study Link: 3.8
3. Differentiation Options:
Readiness: Reviewing Situation Diagrams SRB 178, MM 92
Enrichment: Writing Number Stories MM 93
ELL: Building Vocabulary
Lesson: 3.9 True or False Number Sentences
Content Standards: 4.NBT.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP6, SMP7
Focus on SMP2: Reason abstractly and quantitatively.
SMP7: Look for and make use of structure.
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, and concrete objects.
GMP7.2:Use patterns and structures to solve problems.
Materials/Prep: Journal 69, Calculator, Slate
Vocabulary: number sentence, true number sentence, and false number sentence
Instructional Objective: TSWBAT review the meanings of number sentences; practice determining whether number sentences are true or false.
Math message: TM 204
1. Teaching the lesson (whole group):
Math Message Follow Up TM 204
Exploring the Meaning of Number Sentence
Determining Whether a Number Sentence is True or False
Practicing with Number Sentences – Journal pg 69 RSA –Journal pg 69 Problem 9
2. Ongoing learning & practice:
Math Boxes: 3.9
Study Link: 3.9
3. Differentiation Options:
Readiness: Reviewing > < symbols MM95
Enrichment: Solving a Puzzle MM96
ELL: Building a Math Word Bank DI Handbook 141
Lesson: 3.10 Parentheses in Number Sentences
Content Standards: n/a
Mathematical Practices: SMP1, SMP2, SMP3, SMP6, SMP7, SMP8
Focus on SMP2: Reason abstractly and quantitatively.
SMP6:Attend to precision.
GMP2.2:Explain the meanings of numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use.
GMP6.3: Be accurate when you count, measure, and calculate
Materials/Prep: Journal 71, SRB 151, slate, Game Master MM489, deck of number cards
(from the EM deck)
Vocabulary: parentheses
Instructional Objective: TSWBAT review the use of parentheses in number sentences
Math message: TM 209
RSA – Mental Math and Reflexes TM 209 Extended Division Facts
1. Teaching the lesson (whole group):
Math Message Follow Up TM 209
Determining Whether Number Sentences Containing Parentheses Are True or False
Partner Activity: Using Parentheses in Number Sentences – Journal pg 71
2. Ongoing learning & practice:
Play Name That Number; SRB 254, MM 489
3. Differentiation Options:
Enrichment: Writing Number Models with Parentheses; MM 98
Extra Practice: Taking a 50-Fact Test
Extra Practice: 5-Minute 77-78
Lesson: 3.11 Open Sentences
Content Standards: 4.OA.1, 4.OA.4, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP5, SMP6, SMP7
Focus on SMP1: Make sense of the problems and persevere in solving them.
SMP 3:Model with mathematics.
GMP1.3:Try different approaches when your problem is hard.
GMP3.2: Work to make sense of others’ mathematical thinking.
Materials/Prep: Journal 73 77, Teaching Aid Masters MM 388 or 389, MM424,
MM425 (opt), slate, calculator, overhead calculator (opt), ruler
Vocabulary: variable, open sentence, solve, solution
Instructional Objective: TSWBAT get an introduction to vocabulary and notation for open sentences; practice solving open sentences.
Math message: TM 215
1. Teaching the lesson (whole group):
Math Message Follow Up TM 209
Exploring the Meaning of Open Sentences
Finding Solutions for Open Sentences
Solving Open Sentences Journal pg 74RSA – See TM 217 Math Log or Exit Slip (Explain solving 1, 2, 3, or 4)
Estimating Distances Journal pg 75
2. Ongoing learning & practice:
Using a map Scale Journal pg 75
Math Boxes: 3.11
Study Link: 3.11
3. Differentiation Options:
Readiness: Using Fact Triangles to Solve Open Sentences; MM 100
Enrichment: Solving Open Sentences MM101
Extra Practice: Solving Broken Calculator Problems MM 424
Lesson: Unit 3 Review
Standards:
Materials/Prep: old study links, journal, notebook, study guide
Instructional Objective: TSWBAT review “What's My Rule?” problems, TSWBAT review strategies for solving multiplication facts; and work toward instant recall of the multiplication facts, TSWBAT establish a 50-facts test routine; and provide practice with multiplication facts, TSWBAT give a 50-facts test and record the results; and to practice the multiplication facts, TSWBAT explore the relationship between multiplication and division; and practice division facts, to provide practice interpreting data through the world tour project, TSWBAT practice measuring length and using a map scale, TSWBAT get an introduction to a simplified approach to solving number stories; practice solving number stories, TSWBAT review the meanings of number sentences; practice determining whether number sentences are true or false, TSWBAT review the use of parentheses in number sentences, TSWBAT get an introduction to vocabulary and notation for open sentences; practice solving open sentences.
Lesson: 3.12 Progress Check 3
Instructional Objective: Assess students’ progress on mathematical content through the end of Unit 3
1. Looking Back: Cumulative Assessment
UNIT 3 ASSESSMENT
Open Response: Name that Number
2. Looking Ahead:
- Math Boxes 3.12 Preview Unit 4 Material