Unit 4 Math Plans
Lesson: 4.1 Decimal Place Value
Mathematical Practices: SMP2, SMP5, SMP6, SMP7, SMP8
Focus on SMP2: Reason abstractly and quantitatively.
SMP8: Look for and express regularity in repeated reasoning.
GMP2.2: Explain the meaning of the numbers, words, pictures, symbols, gestures, tables, graphs and concrete objects you and others use.
GMP8.1: Use patterns and structures to create and explain rules and shortcuts.
Content Standards: 4.NBT.1, 4.G.1, 4.G.2
Materials/Prep: MJ P. 78; SRB;Transparencies MM 106-107(opt); calculator; slate; Polygon Pair-Up Property Cards and Polygon Cards (MM496-497)
Vocabulary: N/A
Instructional Objective: TSWBAT extend the base-ten place-value system to decimals.
Math message: TM 239
1.Teaching the lesson (whole group):
Math Message Follow Up TM 239;
Reviewing the Place-Value Chart for Whole Numbers and Extending it to Decimals (MM107)
Identifying Digits and the Values of Digits in Decimals
2. Ongoing learning & practice:(Partner Activity):
Play Polygon Pair-Up SRB 258, MM 496-497
Math Boxes: 4.1RSA - Math Boxes Problems 3a-3d
Study Link: 4.1
3. Differentiation Options:
Readiness - Using Money to Explore Decimals MM. 109 and 428; Enrichment – Writing and Solving Place-Value Puzzles; Extra Practice - Making and Using Place-Value Tool MM 399-402
Lesson: 4.2 Review of Basic Decimal Concepts
Mathematical Practices: SMP1, SMP2, SMP5, SMP6
Focus on SMP2: Reason abstractly and quantitatively.
SMP6: Attend to precision.
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, graphs and concrete objects.
GMP6.1:Communicate your mathematical thinking clearly and precisely.
Content Standards: 4.NF.6
Materials/Prep: MJ P. 80; SRB MM 426; MM 388 OR 389 (OPT.), base-10 blocks; Slate;
SEE ADVANCE PREP ON TM 244;Game Master MM458; 2 six-sided die and 4 pennies (per partnership) (opt); calculator or *,/ Facts Table (opt)
Vocabulary: One, whole, unit, tenth, hundredth
Instructional Objective: TSWBAT review basic concepts and notation for decimals through hundredths
Math message: TM245
1.Teaching the lesson (whole group):
Math Message Follow Up TM 245
Understanding Fraction Concepts
Modeling Decimals with Base-10 Blocks (MM426) RSA – see TM246
Practicing with Tenths and Hundredths (Journal pg. 80) RSA – See TM 248
2. Ongoing learning & practice:(Partner Activity):
Play Baseball Multiplication SRB 231-232, MM 460
Math Boxes: 4.2
Study Link: 4.2
3. Differentiation Options:
Readiness - Playing Base-ten Exchange MM. 458
Enrichment – Exploring the ONE MM 111
Lesson: 4.3 Comparing and Ordering Decimals
Mathematical Practices: SMP2, SMP3, SMP5, SMP6, SMP7
Focus on SMP3: Construct viable arguments and critique the reasoning of others.
SMP5: Use appropriate tools strategically.
GMP3.2: Work to make sense of others’ mathematical thinking.
GMP5.2: Use mathematically tools correctly and efficiently.
Content Standards: 4.NF.7
Materials/Prep: MJ p. 82 and 83; base-10 blocks; slate; SRB p. 259; 8 of each number cards 1-10; Fact Tables; counters or calculators (opt.)SEE ADVANCE PREP ON TM 250
Vocabulary: decimal
Instructional Objective: TSWBAT compare and order decimals in tenths and hundredths
Math message: TM 251
1. Teaching the lesson (whole group):
Math Message Follow Up TM 251 RSA – See TM 251
Ordering Decimals RSA – Journal page 83 Problem 1
2. Ongoing learning & practice:(Small Group Activity):
Play Product Pile-Up (SRB pg. 259)
Math Boxes: 4.3
Study Link: 4.3
3. Differentiation Options:
Readiness: Playing Coin Top-it MM 467 and 506
Enrichment: Writing Decimal Riddles
Extra Practice: 5-Minute Practice
ELL – Creating a Decimal All Around the Museum (See Differentiation Handbook)
Lesson: 4.4 Estimating with Decimals
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP6: Attend to precision.
GMP6.1: Communicate your mathematical thinking clearly and precisely.
GMP6.2: Use the level of precise you need for your problem.
Content Standards: 4.NF.7, 4.MD.2
Materials/Prep: MJ 85; SRB 26; slate; Game Master MM490, 491, 506 (opt); number cards 0-9 (4 of each/partnership)
Vocabulary: trip meter, speedometer
Instructional Objective: TSWBAT explain why decimals are useful; guide estimation of sums and differences of decimals
Math message: TM 256
1. Teaching the lesson (whole group):
Math Message Follow-Up TM256
Discussing Why Decimals Are Useful (SRB pg 26) RSA – See TM 257
(Partner Activity): Estimating Decimal Sums (Journal pg 85) RSA – Journal pg 85 Problems 4, 5
2. Ongoing learning & practice:(Partner Activity):
Play Number Top-It SRB 256, MM 490 and 506
Math Boxes: 4.4
Study Link: 4.4
3. Differentiation Options:
Readiness: Estimating the cost of purchase MM 114, 115, 428
Enrichment: Solving Gasoline Mileage Problems MM 116
Solving a Decimal Magic Square Puzzle MM 117
Lesson: 4.5 Decimal Addition and Subtraction
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SPM7
Focus on SMP1: Make sense of problems and preserve in solving them.
SMP7: Look for and make use of structure.
GMP1.4: Solve your problem in more than one way.
GMP7.2:Use patterns and structures to solve problems.
Content Standards: 4.NF.7, 4.MD.2
Materials/Prep: MJ 87; SRB 178 and 178b, Teaching Aid Masters MM 118, MM427-428 (opt.); base-10 blocks; quarters, nickels, dimes, pennies (opt); slate; SEE ADVANCE PREP TM 260
Vocabulary: N/A
Instructional Objective: TSWBAT extend methods for whole-number addition & subtraction to decimals.
Math message: TM 261; MM118
1. Teaching the lesson (whole group):
Math Message Follow Up TM 261 RSA – See side column TM 261-262
Adding and Subtracting Decimals Using an Algorithm
Practicing Decimal Addition and Subtraction (Journal pg. 87) RSA – See TM 263
2. Ongoing learning & practice:
Analyzing Circle Graphs (Journal pg 88)
Math Boxes: 4.5
Study Link: 4.5
3. Differentiation Options:
Readiness: Investigating a Decimal Version of a Number Grid MM 427
Enrichment: Solving Hiking Trail Problems MM 120 and 121
Lesson: 4.6 Decimals in Money
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP4: Use appropriate tools strategically.
SMP6: Attend to precise.
GMP4.1: Apply mathematical ideas to real-world situations.
GMP6.2:Use the level of precise you need for your problem.
Content Standards: 4.MD.1, 4.MD.2
Materials/Prep: MJ 90-91; Teaching Aid Masters MM 427-428 (opt.); Transparency MM 122(opt); base-10 blocks; money(opt);
*,/ Fact Triangles; Game Master MM489; deck of number cards
Vocabulary: deposit, withdrawal, balance, interest
Instructional Objective: TSWBAT practice adding and subtracting decimals to compute balances in a savings account.
Math message: TM 267
1. Teaching the lesson (whole group):
Math Message Follow Up TM 267 (Journal pg 90)
Introduce Bank Accounts (Journal pgs 90-91)
Practicing Mental Arithmetic (Journal pg. 91)
Partner Activity: Maintaining a Savings Account (Journal pg 91; MM 122)
2. Ongoing learning & practice: Partner Activity:
Play Name That Number (SRB 254; MM489)
Math Boxes: 4.6 RSA Math Boxes Problem 4
Study Link: 4.6
3. Differentiation Options:
Readiness: Finding totals and making change MM 114 and 428
Enrichment: Solving “Goodie Bag” Problems MM124
ELL: Building a Math Word Bank (Diff HB 141)
Lesson: 4.7 Thousandths
Mathematical Practices: SMP1, SMP2, SMP4, SMP6, SMP7
Focus on SMP2: Reason abstractly and quantitatively.
SMP7: Look for and make use of structure.
GMP2.1: Represent problems and situations mathematically numbers, words, pictures, symbols, gestures, tables, graphs and concrete objects.
GMP7.2:Use patterns and structures to solve problems.
Content Standards: 4.MD.1, 4.MD.2
Materials/Prep: MJ p. 94-95; Transparency MM 125(opt); base-10 blocks, slate, SEE ADVANCE PREP TM271; SRB, Teaching Aid
Masters MM419-421 (opt)
Vocabulary: thousandth
Instructional Objective: TSWBAT extend basic concepts and notation for decimals through thousandths
Math message: MJ 94; TM 272 RSA – Mental Math and Reflexes TM272
1. Teaching the lesson (whole group):
Math Message Follow Up TM 272 (Journal pg 94)
Modeling Decimals with Base-10 Blocks (MM125) RSA –TM 273
Practicing Reading and Writing Decimals
Independent Activity: Practicing with Tenths, Hundredths, and Thousandths
2. Ongoing Learning and Practice:
World-Tour Option: Visiting Africa MJ 171-173; 176-177; SRB 276-277, 279,288,283 and 296-305; MM 419-421
Math Boxes: 4.7
Study Link: 4.7
3. Differentiation Options:
Readiness – Counting by the Thousandths
Enrichment-Analyzing Softball Batting Averages MM 127
Extra Practice – Playing Base-10 Exchange MM 459
Lesson: 4.8 Metric Units of Length
Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6, SMP7
Focus on SMP2: Reason abstractly and quantitatively.
SMP6: Attend to precise.
GMP2.2: Explain the meaning of the numbers, words, pictures, symbols, gestures, tables, graphs and concrete objects you and others use.
GMP6.3:Be accurate when you count, measure, and calculate.
Content Standards: 4.NPT.1, 4.MD.1
Materials/Prep: MJ 96; SRB; slate; meter stick; tape measure; centimeter ruler; chart paper; SEE ADVANCE PREP TM 277; Game Master MM472 (opt); calculator
Vocabulary: centimeter (cm), meter (m), millimeter (mm), decimeter (dm)
Instructional Objective: TSWBAT review the relationships among metric units of length; guide student as they work with metric measurements.
Math message: TM 278
1. Teaching the lesson (whole group):
Math Message Follow Up TM 278 (SRB)
Reviewing Metric Units of Linear Measures
Practicing Conversions among Metric Units RSA – See TM 279
Partner Activity: Measuring in Centimeters (Journal pg 96) RSA – Journal pg 96 Problem 2
2. Ongoing learning & practice:Partner Activity:
Play Fishing for Digits (SRB pg. 242 MM 472)
Math Boxes: 4.8
Study Link: 4.8
3. Differentiation Options:
Readiness – Exploring the Relationship between Metric Units MM 129
Enrichment – Exploring the Use of Prefixes in Metric Units MM130
ELL – Building a Math Word Bank Diff HB p. 141
Lesson: 4.9 Personal References for Metric Length
Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP5: use appropriate tools strategically.
GMP5.1: Choose appropriate tools for your problems.
GMP5.3:Estimate and use what you know to check the answers you find using tools.
Content Standards: 4.NF.7, 4.MD.1
Materials/Prep: MJ 98-99; SRB 130; slate; Fact Triangles; tape measure; ruler; meter stick; Game
Master MM 491, 506; number cards 0-9 (4 of each from EM Deck)
Vocabulary: personal measurement reference
Instructional Objective: TSWBAT establish personal references for metric units of length.
Mental Math
2. Ongoing learning & practice:Partner Activity:
Play Number Top-It (Decimals)(SRB pg. 256 MM491 and 506) RSA MM 506
Math Boxes: 4.9
Study Link: 4.9
3. DI Options:
Readiness: Matching Metric Units MM 132
Enrichment – Designing a Measurement Scavenger Hunt
Extra Practice – 5-Minute Math
Lesson: 4.10 Measuring in Millimeters
Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6, SMP7
Focus on SMP6: Attend to precise.
SMP7: Look for and make use of structure.
GMP6.3: Be accurate when you count, measure, and calculate.
GMP7.2:Use patterns and structures to solve problems.
Content Standards: 4.OA.2, 4.MD.1
Materials/Prep: MJ 101-103; Teaching Aid Masters MM 429, 413-414, 416; centimeter ruler; slate; scissors; highlighter;
SEE ADVANCE PREP TM 289
Vocabulary: N/A
Instructional Objective: TSWBAT measure lengths to the nearest millimeter; practice converting measurements between millimeters and centimeters.
Math message: TM 290 RSA – Mental Math and Reflexes TM 290
1. Teaching the lesson (whole group):
Math Message Follow Up TM 290 (Journal pg. 101)
Measuring Lengths in Millimeters and Centimeters (Journal pg. 101; MM429)
Partner Activity: Measuring Invertebrates in Metric Units (Journal pgs. 101-103)
2. Ongoing Learning & Practice:
Math Boxes: 4.10
Study Link: 4.10
3. DI Option:
Readiness – Exploring the Need for Millimeters MM 134
Enrichment – Investigating Ratios
Extra Practice – Measuring to the Nearest Millimeter
Lesson: Unit 4 Review
Materials/Prep: old study links, journal, notebook, study guide
Instructional Objective: SWBAT extend the base-ten place-value system to decimals. SWBAT review basic concepts and notation for decimals through hundredths. TSWBAT compare and order decimals in tenths and hundredths. TSWBAT explain why decimals are useful; guide estimation of sums and differences of decimals. TSWBAT extend methods for whole-number addition & subtraction to decimals. TSWBAT practice adding and subtracting decimals to compute balances in a savings account. TSWBAT extend basic concepts and notation for decimals through thousandths. TSWBAT review the relationships among metric units of length; guide student as they work with metric measurements. TSWBAT review the relationships among metric units of length; guide student as they work with
metric measurements. TSWBAT establish personal references for metric units of length. TSWBAT measure lengths to the nearest millimeter; practice converting measurements between Millimeters and centimeters.
Math message:
Teaching the lesson (whole group):
Study guide
Partner or group work- Ongoing learning & practice:
Math boxes 4.11
Study Link - STUDY UNIT 4