MANCHESTER TOWNSHIP SCHOOL DISTRICT CURRICULUM DESIGN...

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics Grade: 6

Numerical notations refer to the NJ Core Curriculum Standards 08/08

UNIT OF STUDY: Unit 1 - Whole Numbers, Algebra, and Statistics

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Students will be able to: Mathematics Applications and Concepts – Course 1

Daily Do-Now Daily ASK Prep

Glencoe, 2006 Scavenger Hunt (TWE pg 1)

Mathematics Applications and Concepts – Course 1 Resource Package Glencoe, 2006

Study Organizer - “Foldable” (TWE pg 5) “To Swim Or Not To Swim”-(Problem solving activity) Vocabulary Builder Worksheet (TWE pg 4)

MathScape: Seeing and Thinking Solve problems using the four-step plan

Mathematically Creative Publications, 1998

Lesson 1-1 A Plan for Problem Solving (TWE pg 6-9) “Five Boys and Five Dogs” (Logic Puzzle-Quizzles)

Apply divisibility rules for 2,3,4,5,6,9, and 10

Hot Words, Hot Topics Creative Publications, 1998

Lesson 1-2 Divisibility Patterns (TWE pg 10-13)

Skills and Strategies - Level F Kaplan, 2005

Divisibility Mini Lab with partner (TWE pg 10)

Find prime factorization of a composite number 4.1.6 A4,7, C3; 4.5.6 A4

New Jersey Mathematics

Lesson 1-3 Prime Factors (TWE pg 14-17)







Curriculum Framework, 2002

Study Island

Prime Factors Mini Lab with partner (TWE 14) “Bubblegum Factory”-(Mathscope)

Evaluate powers and exponents in expressions

Geometric Sketchpad

Lesson 1-4 Powers and Exponents (TWE pg 18-21)

Mathematics Problem Solving Level D Queue, 2006

Exponents (Kaplan pg 243-257) Differentiated Instruction – Use beans to model bases and exponents (TWE pg 19) Game Zone – Facto Bingo (TWE pg 23)

Evaluate expressions using the order of operations

Lesson 1-5 Orders of Operations (TWE pg 24-27)

Order of Operations Parrot Project Challenge 24 Card Game

Evaluate algebraic expressions 4.1.6 B5,8; 4.2.6 C1

Lesson 1-6 Algebra: Variables and Expressions (TWE pg 28-31)







Algebra Mini Lab with partner (TWE pg 28) Logic Puzzle #7

Solve equations by using mental math and the guess and check strategy

Lesson 1-7a Problem-Solving Strategy (TWE pg 32-33) Lesson 1-7 Algebra: Solving Equations (TWE pg 34-37) Whole group Algebra Mini Lab (TWE pg 34) Practice worksheets (RM) p. 27-28 Practice worksheets Pg. 37-38 (RM0

Use patterns, relations, and linear functions to model situations.

Lesson 1-8 Geometry: Area of Rectangles (TWE pg 39-41)

4.3.6 D1

Study Organizer - “Foldable” (TWE pg 49)







Collect, generate, organize and display data. Read, interpret, select, construct, analyze, generate questions about and draw inferences from displays of data.

Vocabulary Builder Worksheet (TWE pg 48) Calculate mean, median, mode and range from frequency graphs. Lesson 2-1 Frequency Tables (TWE pg 50-53) Differentiated Instruction Groups create frequency tables from survey questions (TWE pg 51) “Memory Game” and “How close can you get?” (Mathscape) Lesson 2-2a Problem Solving Strategy (TWE pg 54-55) Lesson 2-2 Bar Graphs and Line Graphs (TWE pg 56-59) Lesson 2-3 Circle Graphs (TWE







Evaluate range, median, and mean of a data set. 4.1.6 A7, B5,8, C3 4.3.6 C1, D1 4.4.6 A1,2 4.5.6 A4

pg 62-65) Mini Lab Create circle graph with percents using centimeter strip (Mathscape) Differentiated Instruction – Have students relate to circle graphs (TWE pg 63) Lesson 2-4 Making Predictions (TWE pg 66-69) Game Zone – Great Graph Race (TWE pg 71) Lesson 2-5 Stem-and-Leaf Plots (TWE pg 72-75) Lesson 2-6 Mean (TWE pg 76-78) Mean Mini Lab (TWE pg 76) “Grade Anxiety” (Problem Solving)







Lesson 2-7 Median, Mode, and Range (TWE pg 80-83) Differentiated Instruction – Create poem, rap, song with definitions of mean, median, mode and range (TWE pg 81) “Mr. Bumble’s Fumble” (Problem Solving) “Solar RM3” (worksheets) Lesson 2-7b Graphing Calculator Investigation (TWE pg 84-85) Lesson 2-8 Analyzing Graphs (TWE pg 86-89) Teacher generated tests/quizzes Study Island Activities Mind Jogger Videoquizzes





UNIT OF STUDY: Unit 2 - Decimals


Students will be able to:

Daily Do-Now Daily ASK Prep Interdisciplinary Project - “Down to the Last Penny” (TWE pg 97) “King Tut’s Homework” (Resource Binder)

Study Organizer – “Foldable” (TWE pg 99) Vocabulary Builder Worksheet (TWE pg 98)

Represent decimals in word form, standard form, and expanded form.

Lesson 3-1a Hands on Lab (TWE pg 100-101) Lesson 3-1 Representing Decimals (TWE pg 102-105) Differentiated Instruction – Create flash cards with decimals in standard form and word form; quiz with a partner (TWE pg 103)







Compare and order decimals Lesson 3-2 Comparing and

Ordering Decimals (TWE pg 108-110)

Round decimals Lesson 3-3 Rounding Decimals (TWE pg 111-113)

Game Zone – Decimal War (TWE pg 115) 3-4 P & E (RM)

Construct, use, and explain procedures for performing calculations with decimals.

Lesson 3-4 Estimating Sums and Differences (TWE pg 116-119)

Lesson 3-5 Adding and

Subtracting Decimals (TWE pg 121-124)

Study Organizer – “Foldable”

(TWE pg 133) “Bay Area Mysteries” (Quizzles)







Vocabulary Builder Worksheet (TWE pg 132)

Lesson 4-1 Multiplying Decimals

by Whole Numbers (TWE pg 135-138)

4-2 P & E (RM)

Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit by a 2-digit number.

Lesson 4-2 Multiplying Decimals (TWE pg 141-143)

Differentiated Instruction Describe the problem solving process used in a paragraph (TWE pg 142) 4-3 P& E (RM)

Lesson 4-3 Dividing Decimals by Whole Numbers (TWE pg 144-147)

Flexible Grouping (TWE pg 149)







The Game Zone – Decimos (TWE pg 149) Decimal Patterns Mini Lab with partner (TWE pg 152) Lesson 4-4 Dividing by Decimals (TWE pg 152-155) 4-4b Problem Solving Strategy (TWE pg 156-157) Differentiated Instruction – Have students measure the length of the classroom by measuring their foot and the number of steps it takes to cross the classroom (TWE pg 156) “Royalty of Pirnz” Logic Puzzle (Quizzles) Lesson 4-5 Geometry: Perimeter (TWE pg 158-160) Perimeter Mini Lab with partner (TWE pg 158) Differentiated Instruction







Groups create perimeter exercises and exchange (TWE pg 158) Reference Sheet Review (NJ ASK Pre-Test) Lesson 4-6 Geometry Circumference (TWE pg 161-164) Lesson 4-6b Spreadsheet Investigation (TWE pg 165) Teacher5 generated tests/quizzes Study Island Activities Mind Jogger Videoquizzes

4.1.6 A1,2,8, B2,3, C1 4.2.6 E2





UNIT OF STUDY: Unit 3 - Fractions


Students will be able to: Daily Do-Now Daily ASK Prep

Study Organizer – “Foldable” Develop and apply number theory concepts in problem solving situations. Use real life experiences, physical materials, and technology to construct meaning for fractions as part of a whole, a subset of a set, as a location on a #line and as divisions of whole numbers.

(TWE pg 175) Create a number line to order fractions and decimals (mathscope) Vocabulary Builder Worksheet (TWE pg 174) Study Skill – Use a Venn Diagram (TWE pg 176)

Lesson 5-1 Greatest Common

Factor (TWE pg 177-180) “Fraction Circles” (Fraction Circles workbook)

Lesson 5-2 Simplifying Fractions (TWE pg 182-185)







Lesson 5-3 Mixed Numbers and Improper Fractions (TWE pg 186-189) Mixed Numbers and Improper Fraction Mini Lab with partner (TWE pg 186)

Compare and order fractions. Lesson 5-4a Problem Solving

Strategy (TWE pg 192-193) Lesson 5-4 Least Common Multiple (TWE pg 194-197) “Trivia Game” Continue number line (mathscape)

Lesson 5-5 Comparing and

Ordering Fractions (TWE pg 198-201) Flexible Grouping – Groups compare and order fractions using <,>, and =

Lesson 5-6 Writing Decimals as

Fractions (TWE pg 202-205) 5-6 P & E (RM)







Lesson 5-7 Writing Fractions as

Decimals (TWE pg 206-209)

Fraction/Decimal/Percent Equivalence Puzzle (Hands On Math – Resource Binder)

Construct use, and explain procedures for performing calculations with fractions. Estimate sums and differences

Vocabulary Builder Wkst. Pg. 216 Lesson 6-2b Problem Solving Strategy (TWE pg 226-227) 6-3 P & E (RM) Lesson 6-3 Adding and Subtracting Fractions with Like Denominators (TWE pg 228-231) The Game Zone – Fraction Rummy (TWE pg 233) Logic Puzzle (Quizzles) “Two Weeks Vacation”







Estimate products using compatible numbers and rounding Divide fractions (4.1.6B2) Recognize and extend sequences

Lesson 6-4 Adding and Subtracting Fractions with Unlike Denominators (TWE pg 235-238) Lesson 6-5 Adding and Subtracting Mixed Numbers (TWE pg 240-243) 6-6 P & E (RM) Lesson 6-6 Subtracting Mixed Numbers with Renaming (TWE pg 244-247) Study Organizer – “Foldable” (TWE pg 255) Vocabulary Builder Worksheet (TWE pg 254) 7-1 P & E (RM) “Daily Warm Ups”







Lesson 7-2a Hands-On Lab (TWE pg 259-260) Lesson 7-2 Multiplying Fractions (TWE pg 261-264) Lesson 7-3 Multiplying Mixed Numbers (TWE pg 265-267) The Game Zone – Multiplication Chaos (TWE pg 269) Logic Puzzle (Quizzles) “Two Card hand” Lesson 7-4 Dividing Fractions (TWE pg 272-275) Lesson 7-5 Dividing Mixed Numbers (TWE pg 276-279) 7-5 P & E (RM) Lesson 7-6a Problem-Solving Strategy (TWE pg 280-281) Lesson 7-6 (TWE pg 282-284)







Teacher generated tests/quizzes Study Island Activities Mind Jogger Videoquizzes

4.1.6 A1,6,7,8, B2, C1,2





UNIT OF STUDY: Unit 4 – Algebra



Daily Do-Now

Daily ASK Prep Enrichment Worksheet 8-1 E (RM) Study Organizer – “Foldable” (TWE pg 293) Vocabulary Builder Worksheet (TWE pg 292)

Identify, graph, compare, and order integers

Lesson 8-1 Integers ( TWE pg 294-298) Integer War Game (Resource Binder) Enrichment Worksheet 8-3 E (RM)







Model and apply the concepts of integer additions, subtraction, multiplication, and division.

Lesson 8-2A Hands-On Lab (TWE pg 299) Lesson 8-2 Adding Integers (TWE pg 300-303) “Adding Integers” “Solving Real Life Problems” (worksheets)

Lesson 8-3 Subtracting Integers ( TWE pg 304-307) Subtracting Integers Mini Lab (TWE pg 304)

The Game Zone – Falling Off the Ends (TWE pg 309) “Integer magic Squares” (Designing Math) (Math Made Simple)

Lesson 8-4 Multiplying Integers ( TWE pg 310-313)







Solve problems by working backwards (4.1.6A2) Divide integers

Lesson 8-5A Problem-Solving Strategy (TWE pg314-315) Lesson 8-5 Dividing Integers (TWE pg 316-319)

Graph ordered pairs of numbers on a coordinate plane

Lesson 8-6 Geometry: The Coordinate Plane (TWE pg 320-323)

Coordinate System (Kaplan pg 428-441) “Initial Project” Design initials on coordinate graph. Switch with another student.








Understand and use the various relationships among operations and properties of operations.

Lesson 9-1a Hands-On Lab (TWE pg 332) Lesson 9-1 Properties (TWE pg 333-336) Enrichment Worksheet 9-1 E (RM)

Lesson 9-2a Hands-On Lab (TWE pg 337-338) Lesson 9-2 Solving Addition Equations (TWE pg 339-342) 9-2 E (RM)

Use patterns relations, and linear functions to model situations.

Lesson 9-3a Hands-On Lab (TWE pg 343) Lesson 9-3 Solving Subtraction Equations (TWE pg 344-347)

The Game Zone – Four in a Line (TWE pg 349) 9-3 E (RM)

Solve simple linear equations

Lesson 9-4 Solving Multiplication Equations (TWE pg 355-357)







Lesson 9-4b Hands-On Lab (TWE pg354) “Try These!” worksheet (HBJ) Lesson 9-5 Solving Two-Step Equations (TWE pg 355-357) Lesson 9-5b Problem-Solving Strategy (TWE pg 358-359)

Complete function tables and find function rules

Lesson 9-6a Hands-On Lab (TWE pg 360-361) Lesson 9-6 Functions (TWE pg 362-365) “The Algebra Walk” (Mathscape)

Graph functions from function tables 4.1.6 A1,2,8 4.3.6 B1, C1,2, D1 5.4.6 A3-5 4.5.6 B3, D3,5

Lesson 9-7 Graph Functions (TWE pg 366-369) Teacher generated tests/quizzes Study Island activities Mind Jogger Videoquizzes





UNIT OF STUDY: Unit 5 – Ratio and Proportion


Students will be able to: Daily Do-Now Daily ASK Prep

Interdisciplinary Project – Take Me Out to the Ball Game (TWE pg 377)

Explore the use of ratios and proportions in a variety of situations


Lesson 10-1 Ratios

(TWE pg 380-383) Lesson 10-1b Hands-On Lab (TWE pg 384-385) 10-1 P & E (RM)

Use a spreadsheet to solve problems involving proportions

Lesson 10-2 Algebra: Solving Proportions (TWE pg 386-389) Lesson 10-2b Spreadsheet Investigation (TWE pg 390) Differentiated Instruction – Use toothpicks to create a model of the







classroom (TWE pg 391) 10-2 P & E (RM) The Pie Contest (Quizzles)

Use a scale to find a distance on a map or a length on a scale drawing

Lesson 10-3 Geometry: Scale Drawings and Models (TWE pg 391-393) Lesson 10-3b Hands-On Lab (TWE pg 394)

Lesson 10-4 Modeling Percents

(TWE pg 395-397) The Game Zone – Fishin’ for Ratios (TWE pg 399) “The Blob” Activity (Mathscape)

Understand and use whole number percents between 1 and 100 in a variety of situations

Lesson 10-5 Percents and Fractions (TWE pg 400-403)

Differentiated Instruction Separate class by birth month, find percent of each month







(TWE pg 410) “Frac. Dec. Percent Puzzle” (Resource Binder)

Lesson 10-6 Percents and Decimals (TWE pg 404-406) “Little League Fans” (Problem Solving)

Estimate and find the percent of a number

Lesson 10-7 Percent of a Number (TWE pg 409-412)

Find outcomes using lists, tree diagrams, and combinations Model situations involving probability using simulations and theoretical models

Lesson 10-8a Problem-Solving Strategy (TWE pg 413-414) Lesson 10-8 Estimating with Percents (TWE pg 415-417) “Search n Shade” “Jeff & Juan” “Autumn Dance” (Resource Binder) Study Organizer – “Foldable”







Determine probability using intuitive, experimental and theoretical methods Recognize and understand the connections among the concepts of independent outcomes, picking at random, and fairness 4.1.6 A4, B2, C1 4.2.6 D2 4.4.6 B1,2,4,5, C1 4.5.6 F1

(TWE pg 425) Vocabulary Builder Worksheet (TWE pg 424) Lesson 11-1a Hands-On Lab (TWE pg 426-427) “High Low Booth” Students create individual strip, graphs, then compile to make class graph. Lesson 11-1 Theoretical Probability (TWE pg 428-431) Lesson 11-1b Hands-On Lab (TWE pg 432) Lesson 11-2 Outcomes (TWE pg 433-436) “Clothes Activity” Create tree diagrams from props. Lesson 11-3a Hands-On Lab (TWE pg 437)







Predictions Mini Lab with partner (TWE pg 438) Lesson 11-3 Statistics: Making Predictions (TWE pg 438-441) Flexible Grouping – Plan and create a survey (TWE pg 438) The Game Zone – “Match Em Up” (TWE pg 443) 11-4 P & E (RM) Lesson 11-4 Geometry: Probability and Area (TWE pg 444-447) Lesson 11-5a Problem-Solving Strategy (TWE pg 448-449) Lesson 11-5 Probability of Independent Events (TWE pg 450-453) Teacher generated tests/quizzes Study Island Activities Mind Jogger Videoquizzes







Outcome Grids (Daily Warm Ups)

1. spinners 2. dice 3. coins





UNIT OF STUDY: Unit 6 - Measurement and Geometry



Daily Do Now Daily ASK Prep Study Organizer – “Foldable” (TWE pg 463) Vocabulary Builder Worksheet (TWE pg 462)

Explore changes in area and perimeter of rectangles Use a spreadsheet to compare areas of rectangles with the same perimeter

Lesson 12-1 Length in the Customary System (TWE pg 465-468) Lesson 12-1b Spreadsheet Investigation (TWE pg 469) 12-1 P (RM)

Convert measurement units within a system

Lesson 12-2 Capacity and Weight in the Customary System (TWE pg 470-473) 12-2 P & E (RM)







Determine and apply significant digits in a real-life context

Lesson 12-3a Hands-On Lab (TWE pg 474-475) Lesson 12-3 Length in the Metric System (TWE pg 476-479) Lesson 12-3b Hands-On Lab (TWE pg 480-481)

Use measurements and estimates to describe and compare phenomena

The Game Zone – Mystery Measurements (TWE pg 483)

Solve problems using benchmarks

Lesson 12-4 Mass and Capacity in the Metric System (TWE pg 484-487) Lesson 12-4b Problem-Solving Strategy (TWE pg 488-489)

Develop informal ways of approximating the measures of familiar objects

Lesson 12-5 Changing Metric Units (TWE pg 490-493) Flexible Grouping – Groups make equivalent metric measurements and trade (TWE pg 491)







TWE p. 492 & 493 Add and subtract measures of time

Lesson 12-6 Measures of Time (TWE pg 494-497)

Understand and apply concepts involving lines and angles

Vocabulary Builder Worksheet (TWE pg 504)

Use a protractor to measure angles Lesson 13-1 Angles

(TWE pg 506-509)

Lesson 13-2 Using Angle

Measures (TWE pg 510-512) “Explore the Angle” worksheets 92-5 and “books Never Written” (Resource Binder)

Select and use appropriate units to measure angles, area, surface area and volume

The Game Zone – Wild Angles (TWE pg 519) Lesson 13-4a Problem-Solving Strategy (TWE pg 520-521)







Solve problems by drawing a diagram (4.5.6A3) Identify, describe, compare, and classify polygons and circles Investigate transformations Identify similar figures Develop and apply strategies and formulas for finding perimeter and area Make circle graphs (4.4.6A2) Identify three-dimensional figures Draw three-dimensional figures

Lesson 13-4 Two-Dimensional Figures (TWE pg 522-525) “Polygon Power Project” (Mathscape) Differentiated Instruction – Create a rule for sum of measure of interior angles of a polygon (TWE pg 523) Lesson 13-4b Hands-On Lab (TWE pg 526-527) Lesson 13-5 Lines of Symmetry (TWE pg 528-531) Lesson 13-5b Hands-On Lab (TWE pg 532-533) Skeleton Project and Symmetry Designs “No Bones About It” Logic Puzzle Lesson 13-6 Similar and Congruent Figures (TWE pg 534-536) Lesson 13-6b Hands-On Lab (TWE pg 537)







Solve problems by making a model Develop and apply strategies and formulas for finding the surface area and volume of rectangular prisms. Build a three-dimensional figure from a net and vice versa 4.1.6 A2, C3 4.2.6 A1-6,8, B1, D1,3,E1,2,4,5, 4.4.6 A2 4.5.6 A3,5, F1

Tessellation Project Study Organizer – “Foldable” (TWE pg 545) Review Reference Sheet (NJ Ask Review Prep) Vocabulary Builder Worksheet (TWE pg 544) Lesson 14-1 Area of Parallelograms (TWE pg 546-549) Parallelogram Mini Lab (TWE pg 546) Differentiated Instruction – Find the area of a parallelogram then turn and find area (TWE pg 547) Reference Sheet Review (NJ Ask Prep)







Lesson 14-2a Hands-On Lab (TWE pg 550) “Waterlogged” (Designing Math) Lesson 14-2 Area of Triangles (TWE pg 551-554) Lesson 14-2b Hands-On Lab (TWE pg 555) Lesson 14-3 Area of Circles (TWE pg 556-559) Lesson 14-3b Hands-On Lab (TWE pg 560-561) The Game Zone – Time’s Up for Circles (TWE pg 563) “Nets” worksheet (Mathscape) Lesson 14-4 Three-Dimensional Figures (TWE pg 564-566) TWE p. 572 & 573 14-4 P & E (RM)







Lesson 14-4b Hands-On Lab (TWE pg 567) Lesson 14-5a Problem-Solving Strategy (TWE pg 568-569) Lesson 14-5 Volume of Rectangular Prisms (TWE pg 570-573) Volume Mini Lab with partner (TWE pg 570) Lesson 14-6a Hands-On Lab (TWE pg 574) TWE p. 577 & 578 14-6 P & E (RM) Lesson 14-6 Surface Area of Rectangular Prisms (TWE pg 575-578) Surface Area Mini Lab with partner (TWE pg 575) “Surface Area” Teacher generated tests/quizzes







Study Island Activities Map Project Mind Jogger Videoquizzes

MANCHESTER TOWNSHIP SCHOOL DISTRICT CURRICULUM DESIGN...

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