Unit 6 Math Plans
* Teach Algorithm Project 7
Part 1 after lesson 6.10.
Algorithm Project 8 after 6.11
Progress Check *
6·1 Multiplication and Division Number Stories
Content Standards: 4.OA.2, 4.OA.3, 4.NBT.3, 4.NBT.6, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP2: Reason abstractly and quantitatively.
SMP4: Model with mathematics
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, graphs, and
concrete objects.
GMP4.2: Use mathematical models, such as graphs, drawings, tables, symbols, numbers, and diagrams to solve questions.
Instructional Objective: TSWBAT provide practice solving multiplication and division number stories by using diagrams to
organize information.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (MM 436-437
Solving Division Number Stories Informing Instruction (See TM 403)
Solving Number Stories (Journal p. 138-139 RSA Journal pg 138-139 1-4)
Review Simple Traditional Division with Simple Facts.
2. Ongoing Learning & Practice
Solving Extended Facts (MJ p. 140)
Math Boxes 6·1 (MJ p. 137) &
Study Link 6·1 (MM 177)
3. Differentiation Options
Readiness: Play Division Arrays with Partners (SRB p. 240; MM 470)
Enrichment: Writing Multiplication/Division Number Stories
6·2 Strategies for Division
Content Standards: 4.OA.3, 4.OA.4, 4.NBT.2, 4.NBT.6
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP1: Make sense of problems and persevere 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.
Instructional Objective: TSWBAT to guide the exploration of a variety of strategies to solve equal-grouping division number
stories.
Mental Math and Reflexes Math Message and Follow Up
1. Teaching the Lesson
Math Message and Follow Up
Using Multiples to Solve Division Problems & Practicing Division Strategies
(MJ p. 142-143)
2. Ongoing Learning & Practice
Play High-Number Toss with Partners (SRB p. 252; MM p. 487);
Math Boxes 6·2 (Journal p. 141) RSA Math Boxes 2a-2c
Study Link 6·2 (MM 178)
3. Differentiation Options
Readiness: Finding Multiples of 10 and 100 (MM 179)
Extra Practice: Playing Buzz(readiness) and Bizz-Buzz (enrichment) (SRB p. 234) Model with whole class first.
Long Division Video: http://www.youtube.com/watch?v=0uZiqk_ZdcA
6·3 The Partial-Quotients Division Algorithm, Part 1
Content Standards: 4.OA.3, 4.NBT.6, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP7: Reason abstractly and quantitatively.
GMP1.2: Make a plan for solving a problem.
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, graphs, and
concrete objects.
Instructional Objective: TSWBAT intro. & provide practice with a “low stress” division algorithm for 1-digit divisors.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Introducing the Partial-Quotients Algorithm (MM 403, 438)
(Informing Instruction – TM416);
Using the Partial-Quotients Algorithm (MJ p. 144-145)
(RSA Journal pgs. 144-145 pr. 1,2,5)
2. Ongoing Learning & Practice
Reviewing Place Value in Decimals (MJ p. 146);
Math Boxes 6·3 (MJ p. 147) &
Study Link 6·3 (MM 180)
3. Differentiation Options
Readiness: Play Beat the Calculator (SRB p. 233; MM 461)
Enrichment: Determining the Cost of Pens (MM 181)
Extra Practice: Playing Division Dash with Partners (SRB 241; MM 471)
ELL Support: Build Vocabulary
6·4 Expressing and Interpreting Remainders
Content Standards: 4.OA.3, 4.OA.4, 4.NBT.6, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP6
Focus on SMP2: Reason abstractly and quantitatively.
SMP4: Model with mathematics.
GMP2.2: Explain the meaning of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others
use.
GMP4.1: Apply mathematical ideas to real-world situations.
Instructional Objective: TSWBAT Intro. the expression of remainders as fractions or decimals; & to provide practice interpreting
remainders in division problems.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Expressing Remainders as Fractions or Decimals; Interpreting Remainders in Problem Contexts;
Solving Division Problems and Interpreting Remainders (MJ p. 148-149)
2. Ongoing Learning & Practice
Play Division Dash with Partners (SRB p. 241; MM 471);
Math Boxes 6·4 (MJ p.150)
RSA Math Boxes Problem 3
Study Link 6·4 (MM 182)
3. Differentiation Options
Readiness: Exploring Remainders in Literature (MM 183)
Enrichment: Solving a Multiples Number Story (MM 184)
Extra Practice: 5-Minute Math
6·5 Rotations and Angles
Content Standards: 4.MD.2, 4.MD.5a, 4.MD.5b
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP5: Use appropriate strategically.
GMP1.6: Connect mathematical ideas and representations to one another.
GMP5.2: Use mathematical tools correctly and efficiently.
Instructional Objective: TSWBAT review rotations; & to guide students as they make & use a full-circle protractor.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Investigating Rotations and Degree Measures MJ p. 152) Informing Instruction TM 427;
Forming Angles of Given Measures (MJ p. 152)
Measuring Elapsed Time in Degrees (MJ p. 152-153)
2. Ongoing Learning & Practice
Making a Bar Graph (Journal pg 154; SRB p. 301) RSA Journal pg 154;
Solving Elapsed-Time Problems (MJ 154A-154B)
Math Boxes 6·5 (MJ p. 151)
Study Link 6·5 (MM 185)
3. Differentiation Options
Readiness: Matching Alternate Time Displays (MM186-188)
Enrichment: Measuring Elapsed Time in Degrees (Journal p. 152-153; MM 189)
Extra Practice: Play Robot with Partners
ELL Support: Building a Math Word Bank (Differentiation Handbook)
6·6 Using a Full-Circle Protractor
Content Standards: 4.NBT.6, 4.MD.2, 4.MD.5a, 4.MD.5b, 4.MD.6, 4.MD.7
Mathematical Practices: SMP2, SMP3, SMP5, SMP6, SMP7, SMP8
Focus on SMP5: Use appropriate tools strategically.
SMP7: Look for a make use of structure.
GMP5.2: Use mathematical tools correctly and efficiently.
GMP7.1: Find, extend, analyze and create patterns.
Instructional Objective: TSWBAT provide practice using a full-circle protractor to measure and draw angles less then 360
degrees.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (SRB p. 92)
Demonstrating Angles and Rotations; Using a Full-Circle Protractor (MJ p. 155; SRB p. 142; MM 439) Informing
Instruction TM 434
Drawing an Angle RSA Exit Slip see TM 435
2. Ongoing Learning & Practice
Play Division Dash with Partners (SRB p. 241; MM 471)
Math Boxes 6·6 (Journal p.156)
Study Link 6·6 (MM 190)
3. Differentiation Options
Readiness: Making and Using a Waxed-Paper Protractor (MM 191)
Enrichment: Playing Angle Add-Up (MM 439, 507-509)
Extra Practice: Play Angle Tangle with Partners (SRB p. 230; MM 457)
ELL Support: Building Background for Mathematics Words
6·7 The Half-Circle Protractor
Content Standards: 4.MD.5a, 4.MD.5b, 4.MD.6, 4.MD.7
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP5: Use appropriate tools strategically.
GMP5.2: Use mathematical tools correctly and efficiently.
GMP5.3: Estimate and use what you know to check the answers you find using tools.
Instructional Objective: TSWBAT guide students as they classify angles as a acute, right, obtuse, straight, and reflex; and to
provide practice using a half-circle protractor to measure an draw angles.
Mental Math and Reflexes RSA Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (MJ p. 157)
Introducing the Half-Circle Protractor;
Measuring Angles with a Half-Circle Protractor (MJ p. 157) Informing Instruction TM 440
Drawing Angles with a Half-Circle Protractor (MJ p. 158)
*Adding and Subtracting to Find Missing Angle Measures*
2. Ongoing Learning & Practice
World Tour Option: Visiting Europe (MJ p. 171–173,180-181;SRB; MM 419-421)
Math Boxes 6·7 (MJ p. 159)
Study Link 6·7 (MM 192)
3. Differentiation Options
Readiness: Modeling Angles (SRB p. 93)
Enrichment: Measuring Angles in Triangles (MM 193)
Exploring Angles in Literature (MM 388-389)
ELL Support: Building Background for Mathematics Words (Differentiation Handbook)
6·8 Rectangular Coordinate Grids for Maps
Content Standards: 4.OA.3, 4.MD.5a, 4.MD.5b, 4.MD.6, 4.MD.7
Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6, SMP8
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP8: Look for and express regularity in repeated reasoning.
GMP1.4: Solve your problem in more than one way.
GMP8.2: Use properties, rules, and shortcuts to solve problems.
Instructional Objective: TSWBAT 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 map scale.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal pg 162)
Using Ordered Pairs to Locate Points on a Map (Journal pg 162) RSA Math Log or Exit Slip see TM 445
2. Ongoing Learning & Practice
Play Angle Tangle with Partners (SRB pg 230; MM 457)
Finding Real-Life Angle Measures
Math Boxes 6·8 (Journal pg 160)
Study Link 6·8 (MM 194)
3. Differentiation Options
Readiness: Moving on a Coordinate Grid
Enrichment: Play Grid Search with Partners (SRB pgs 250-251; MM 486)
Extra Practice: Plotting and Naming Points on a Coordinate Grid (MM 440)
6·9 Global Coordinate Grid System
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP6
Focus on SMP3: Construct viable arguments and critique the reasoning of others.
SMP4: Model with mathematics.
GMP3.3: Work to make sense of others’ mathematical thinking.
GMP4.1: Apply mathematical ideas to real-world situations.
Instructional Objective: TSWBAT 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.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Studying a World Globe (SRB pgs 272-273);
Introducing the System for Locating Places on the Globe;
Locating Places on a World Map
Locating Places on Regional Maps (Journal pg 164; SRB pgs 282-293) Informing Instruction see TM 453
2. Ongoing Learning & Practice
Play Over and Up Squares with Partners (SRB pg 257; MM 494)
Math Boxes 6·9 (Journal pg 165) RSA Math Boxes Problem 2
Study Link 6·9 (MM 195)
3. Differentiation Options
Enrichment: Using Time to Determine Longitude (MM 388-389)
Extra Practice: Locating Places with Latitude and Longitude (MM 196)
6·10 The Partial-Quotients Division Algorithm, Part 2
Content Standards: 4.OA.3, 4.NBT.6
Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP4: Model with mathematics.
SMP7: Look for and make use of structure.
GMP4.2: Use mathematical models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve problems.
GMP7.2: Use patterns and structures to solve problems.
Instructional Objective: TSWBAT provide practice with “low-stress” division algorithm for 2-digit divisors.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Introducing the Partial-Quotients Algorithm with 2-Digit Divisors (MM 438)
Using Partial-Quotients Algorithm w/ 2-Digit Divisors (Journal pg 166-167; MM 438) RSA Journal pg 166 problems 1-2
2. Ongoing Learning & Practice
Taking a 50-Facts Test (MM 413-414, 416)
Math Boxes 6·10 (Math Journal page 168)
Study Link 6·10 (Math Masters page 107)
3. Differentiation Options
Readiness: Play Division Dash with Partners (SRB 241; MM 471)
Enrichment: Performing a “Magic Trick” (MM 198)
Algorithm Project 7: U.S. Traditional Long Division, Part 1 (pg. A31)
Materials/Prep: Math Journal 1 or 2, pp. 25P-27P; Student Reference Book, p. 24E & 24H
Instructional Objective: SWBAT introduce U.S. traditional long division
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP8
Content Standards: 4.NBT.6
Doing the Project:
 Solve a Division Problem – Math Journal 1 or 2 pg. 25P (whole group)
 Introducing Long Division (whole group)
 Solving Long Division Problems with One-Digit Divisors – Math Journal 1 or 2 pgs. 25P-27P; SRB pgs. 24E-24H (partner
activity)
Extending the Project:
 Writing and Solving Division Number Stories – Student Reference Book pgs. 24E – 24H (partner activity)
 Solving Division Problems – Online Additional Practice pgs. 27A-27C; SRB pgs. 22-24 & 24E-24H (independent
activity)
6·11 Progress Check 6
Math Message & Assessment Handbook page 179
1. Assessing Progress
Oral and Slate Assessments; Written Assessment ~ Assessment Handbook pages 180 – 182
Open Response ~ Assessment Handbook page 183
Midyear Assessment ~ Assessment Handbook pages 228 - 233
2. Building Background for Unit 5
Math Boxes 6·11 (Math Journal page 169)
Study Link 6·11: Unit 7 Family Letter ~ Math Masters pages 199 – 202
Algorithm Project 8: U.S. Traditional Long Division, Part 2 (pg. A37)
Materials/Prep: Math Journal 1 or 2, pp. 28P-30P; Student Reference Book, p. 24E & 24J & 40D-40F
Instructional Objective: SWBAT extend U.S. tradition long division with single-digit divisors to four- and five-digit dividends and
dividends in dollars-and-cents notations.
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP8
Content Standards: 4.NBT.6
Doing the Project:
 Solve a Division Problem – Math Journal 1 or 2 pg. 28P (whole group)
 Extending Long Division to Larger Dividends (whole group)
 Solving Long Division Problems – Math Journal 1 or 2 pgs. 28P-29P; SRB pgs. 24E-24J (partner activity)
 Extending Long Division to Dollars – and – Cents notation
Extending the Project:
 Writing and Solving Division Number Stories – Student Reference Book pgs. 24E – 24J & 40D – 40F (partner activity)
 Solving Division Problems – Online Additional Practice pgs. 30A-30C; SRB pgs. 22-24 & 24E-24J & 40D - 40F
(independent activity)