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MANCHESTER TOWNSHIP SCHOOL DISTRICT CURRICULUM DESIGN AND DELIVERY LESSON Subject: Mathematics - Honors Grade: 6 Page 1 Numerical notations refer to the NJ Core Curriculum Standards 04/08 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 Glencoe, 2006 Scavenger Hunt (TWE pg 1) Chapter 1 – Number Patterns and Algebra 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) Use 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 New Jersey Mathematics Lesson 1-3 Prime Factors (TWE pg 14-17) 4.1.6 A7, C3; 4.5.6 A4 Curriculum Framework, 2002 Prime Factors Mini Lab with

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MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 1 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Glencoe, 2006 Scavenger Hunt (TWE pg 1) Chapter 1 – Number Patterns and Algebra

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)

Use 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

New Jersey Mathematics

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

4.1.6 A7, C3; 4.5.6 A4 Curriculum Framework, 2002 Prime Factors Mini Lab with

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 2 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Study Island

partner (TWE 14) “Bubblegum Factory”-(Mathscope)

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

4.1.6 B5, 8; 4.3.6 C1

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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 3 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

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 Study Skills – Identify the Best Way to Solve a Problem (TWE pg 38) Practice worksheets Pg. 37-38 (RM0

Find the areas of rectangles

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

Chapter 2 – Statistics and Graphs 4.3.6 C1, D1

Study Organizer - “Foldable” (TWE pg 49) Vocabulary Builder Worksheet (TWE pg 48)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 4 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Make and interpret frequency tables Make and interpret bar graphs and line graphs Interpret circle graphs 4.4.6 A1-2

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 2-2b Spreadsheet Investigation (TWE pg 60-61) Lesson 2-3 Circle Graphs (TWE

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 5 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Make predictions from line graphs Construct and interpret stem and leaf plots Find the mean of a set of data Find the median , mode, and range of a set of data 4.4.6 A1-2

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) Lesson 2-6b Spreadsheet Investigation (TWE pg 79) “Grade Anxiety” (Problem Solving) Lesson 2-7 Median, Mode, and

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 6 Numerical notations refer to the NJ Core Curriculum Standards 04/08

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

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Recognize when statistics and graphs are misleading 4.4.6 A2

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) “Misleading Graphs” Worksheets 2-9 (HBJ)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 7 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 2 - Decimals

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Students will be able to:

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

Chapter 3 – Adding and Subtracting Decimals

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) Lesson 3-1b Hands on Lab (TWE pg 106-107)

Compare and order decimals 4.1.6 A1,2,8

Lesson 3-2 Comparing and Ordering Decimals (TWE pg 108-110)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 8 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 2 - Decimals

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

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

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

Estimate sums and differences of decimals

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

Flexible Grouping – Groups of three discuss the advantages and disadvantages of each rounding type (TWE pg 116)

Add and subtract decimals Lesson 3-5 Adding and Subtracting Decimals (TWE pg 121-124)

Chapter 4 - Multiplying and Dividing Decimals 4.1.6 A2, B2

Study Organizer – “Foldable” (TWE pg 133) “Bay Area Mysteries” (Quizzles)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 9 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 2 - Decimals

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Vocabulary Builder Worksheet (TWE pg 132)

Estimate and find the product of decimals and whole numbers

Lesson 4-1a Hands on Labs (TWE pg 134) Lesson 4-1 Multiplying Decimals by Whole Numbers (TWE pg 135-138)

Foldable Follow-Up (TWE pg 139) 4-2 P & E (RM)

Multiply decimals by decimals Lesson 4-2a Hands on Lab (TWE pg 139-140) 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)

Divide decimals by whole numbers 4.1.6B2-3

Lesson 4-3 Dividing Decimals by Whole Numbers

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 10 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 2 - Decimals

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

(TWE pg 144-147) Divide decimals by decimals Find the perimeter of rectangles and squares 4.1.6 B2-3, 4.2.6 E2

Flexible Grouping (TWE pg 149) The Game Zone – Decimos (TWE pg 149) Lesson 4-4a Hands on Lab (TWE pg 150-151) 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)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 11 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 2 - Decimals

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Find the circumference of circles 4.2.6 E2

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) Circumference/Diameter Mini Lab with partner (TWE pg 161) Lesson 4-6b Spreadsheet Investigation (TWE pg 165)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 12 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Students will be able to: Study Organizer – “Foldable” Chapter 5 – Fractions and Decimals

(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)

Find the greatest common factor of two or more numbers

Lesson 5-1 Greatest Common Factor (TWE pg 177-180) “Fraction Circles” (Fraction Circles workbook)

Express fractions in simplest form

Lesson 5-2a Hands-On Lab (TWE pg 181) Lesson 5-2 Simplifying Fractions (TWE pg 182-185)

Write mixed numbers as improper fractions and vice versa 4.1.6A1,7

Lesson 5-3 Mixed Numbers and Improper Fractions (TWE pg 186-189) Mixed Numbers and Improper

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 13 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Fraction Mini Lab with partner (TWE pg 186)

Find the least common multiple of two or more numbers

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)

Compare and order fractions Lesson 5-5 Comparing and

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

Write percents as fractions or mixed numbers in simplest form

Lesson 5-6 Writing Decimals as Fractions (TWE pg 202-205) 5-6 P & E (RM)

Write fractions as terminating and repeating decimals 4.1.6A6-8

Lesson 5-7 Writing Fractions as Decimals (TWE pg 206-209)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 14 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

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

Chapter 6 – Adding and Subtracting Fractions

Round fractions and mixed numbers Estimate sums and differences Add and subtract fractions with like denominators 4.1.6A6,B2, C2

Lesson 6-1a Hands-On Lab (TWE pg 218) Lesson 6-1 Rounding Fractions and Mixed Numbers (TWE pg 219-222) Rounding Fractions Mini Lab with partner (TWE pg 219) 6-1 P & E (RM) Lesson 6-2 Estimating Sums and Differences (TWE pg 223-225) Lesson 6-2b Problem Solving Strategy (TWE pg 226-227) 6-3 P & E (RM)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 15 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Add and subtract fractions with unlike denominators Add and subtract mixed numbers Subtract mixed numbers involving renaming Chapter 7 – Multiplying and Dividing Fractions 4.1.6B2

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” Lesson 6-4a Hands-On Lab (TWE pg 234) 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)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 16 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Estimate products using compatible numbers and rounding Multiply fractions Multiply mixed numbers Divide fractions Divide mixed numbers Recognize and extend sequences 4.1.6 B2, C1 4.3.6 A1

Study Organizer – “Foldable” (TWE pg 255) Vocabulary Builder Worksheet (TWE pg 254) Lesson 7-1 Estimating Products (TWE pg 256-258) 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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 17 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 3 - Fractions

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

(Quizzles) “Two Card hand” Lesson 7-4a Hands-On Lab (TWE pg 270-271) 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)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 18 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 4 – Algebra

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Students will be able to:

Chapter 8 - Algebra: Integers Interdisciplinary Project

Weather Watchers – Math/Science Connection (TWE pg 291) Enrichment Worksheet 8-1 E (RM) Study Organizer – “Foldable” (TWE pg 293) Vocabulary Builder Worksheet (TWE pg 292)

Identify, graph, compare, and order integers ( 4.1.6A1) (4.1.6A8)

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

Add integers 4.1.6 A1,8; 4.5.6 A4, D3

Lesson 8-2A Hands-On Lab (TWE pg 299) Lesson 8-2 Adding Integers

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 19 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 4 – Algebra

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

(TWE pg 300-303) “Adding Integers” “Solving Real Life Problems” (worksheets)

Subtract integers 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)

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

Solve problems by working backwards Divide integers

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

4.1.6 A2; 4.3.6 C1; 4.5.6 A3,4, B3, D5

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 20 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 4 – Algebra

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

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.

Chapter 9 - Algebra: Solving Equations

Study Organizer – “Foldable” (TWE pg 331) Vocabulary Builder Worksheet (TWE pg 330)

Illustrate the Distributive Property using models Use the Commutative, Associative, Identity, and Distributive Properties 4.1.6A1, B7; 4.3.6 B1; 4.5.6 A5

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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 21 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 4 – Algebra

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Solve addition equations using models Solve addition equations

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

Solve subtraction equations using models Solve subtraction equations

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 multiplication equations Solve inequalities using models Solve two-step equations Solve problems by writing an equation 4.3.6 C1, D1

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)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 22 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 4 – Algebra

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Lesson 9-5b Problem-Solving Strategy (TWE pg 358-359)

Illustrate functions using function machines 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 4.3.6 B1, C1-2

Lesson 9-7 Graph Functions (TWE pg 366-369)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 23 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

Students will be able to: Interdisciplinary Project – Take

Me Out to the Ball Game (TWE pg 377)

Chapter 10 – Ratio, Proportion, and Percent

Study Organizer – “Foldable” (TWE pg 379) Vocabulary Builder Worksheet (TWE pg 378)

Express ratios and rates in fraction form Explore ratios and the relationship between ratio and area

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

Use scale drawings and models to find actual measurement Use a spreadsheet to solve problems involving proportions 4.1.6 A4; 4.5.6F1

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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 24 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

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

Use scale drawings and models to find actual measurements Construct scale drawings

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

Use models to illustrate the meaning of percent

Lesson 10-4 Modeling Percents (TWE pg 395-397) The Game Zone – Fishin’ for Ratios (TWE pg 399) “The Blob” Activity (Mathscape)

Express percents as fractions and vice versa 4.1.6 A5

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

4.2.6 A5, D2 Differentiated Instruction

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 25 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

Separate class by birth month, find percent of each month (TWE pg 410) “Frac. Dec. Percent Puzzle” (Resource Binder)

Express percents as decimals and vice versa

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

Use a model to find the percent of a number Find the percent of a number

Lesson 10-7a Hands-On Lab (TWE pg 407-408) Lesson 10-7 Percent of a Number (TWE pg 409-412)

Solve problems by solving a simpler problem Estimate the percent of a number Chapter 11 - Probability

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”

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 26 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

4.1.6 A5, B2, C1 Exploring experimental probability by conducting a simulation Find and interpret the theoretical probability of an event Compare experimental probability with theoretical probability Find outcomes using lists, tree diagrams, and combinations Determine whether a group is biased Predict the actions of a larger group using a sample

(Resource Binder) Study Organizer – “Foldable” (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”

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 27 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

4.4.6 B1,2,4,5, C1 Find probability using area models Solve problems by making a table Find the probability of independent events 4.4.6 B1

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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 28 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 5 – Ratio and Proportion

Major Objectives Suggested Resources Suggested

Activities/Assessment Techniques

Teacher Comments

Independent Events (TWE pg 450-453) Outcome Grids (Daily Warm Ups)

1. spinners 2. dice 3. coins

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 29 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Students will be able to: Chapter 12 - Measurement

Study Organizer – “Foldable” (TWE pg 463) Vocabulary Builder Worksheet (TWE pg 462)

Explore changes in area and perimeter of rectangles Change units of length and measure length in customary system Use a spreadsheet to compare areas of rectangles with the same perimeter

Lesson 12-1a Hands-On Lab (TWE pg 464) Customary Measures Mini Lab with a partner (TWE pg 465) Lesson 12-1 Length in the Customary System (TWE pg 465-468) Lesson 12-1b Spreadsheet Investigation (TWE pg 469) 12-1 P (RM)

Change units of capacity and weight in the customary system

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

4.2.6D3,E4, F1

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 30 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Measure in metric units Use metric units of length 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)

The Game Zone – Mystery Measurements (TWE pg 483)

Use metric units of mass and capacity 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)

Change units within the metric system 4.1.6 A2 4.5.6 A5; 4.2.6 D3,4, E5

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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 31 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Add and subtract measures of time

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

Chapter 13 – Geometry: Angles and Polygons

Study Organizer – “Foldable” (TWE pg 505) Vocabulary Builder Worksheet (TWE pg 504)

Classify and measure angles

Lesson 13-1 Angles (TWE pg 506-509)

Draw angles and estimate measures of angles

Lesson 13-2 Using Angle Measures (TWE pg 510-512) “Explore the Angle” worksheets 92-5 and “books Never Written” (Resource Binder)

Construct congruent segments and Bisect line segments and angles 4.1.6 C3; 4.2.6A1, D1, E1

Lesson 13-3a Hands-On Lab (TWE pg 513-514) Lesson 13-3 Bisectors (TWE pg 515-517) The Game Zone – Wild Angles (TWE pg 519)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 32 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Solve problems by drawing a diagram Name two-dimensional figures Explore, classify, and draw triangles and quadrilaterals Describe and define lines of symmetry Investigate transformations Determine congruence and similarity Create tessellations using pattern blocks 4.2.6 A2-4, B1

Lesson 13-4a Problem-Solving Strategy (TWE pg 520-521) Lesson 13-4 Two-Dimensional Figures (TWE pg 522-525) Straw Mini Lab with partner (TWE pg 522) “Polygon Power Project” (mathscape) Lesson 13-4b Hands-On Lab (TWE pg 526-527) Differentiated Instruction – Create a rule for sum of measure of interior angles of a polygon (TWE pg 523) 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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 33 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Chapter 14 – Geometry: Measuring Area and Volume Find the areas of parallelograms Find the area of a triangle using the properties of parallelograms Find the areas of triangles Find the area of a trapezoid using the properties of triangles Find the areas of circles 4.2.6 E2

Lesson 13-6 Similar and Congruent Figures (TWE pg 534-536) Lesson 13-6b Hands-On Lab (TWE pg 537) 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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 34 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

Make circle graphs Identify three-dimensional figures Draw three-dimensional figures Solve problems by making a model Find the volume of rectangular prisms Build a three-dimensional figure from a net and vice versa Find the surface areas of rectangular prisms 4.2.6 A5,6,8, D1 4.4.6 A2 4.5.6 A3

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) Area of circles mini lab with partner (TWE pg 556) Lesson 14-3b Hands-On Lab (TWE pg 560-561) The Game Zone – Time’s Up for Circles (TWE pg 563) “Nets” worksheet (Mathscape)

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 35 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

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 370) 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

MANCHESTER TOWNSHIP SCHOOL DISTRICT

CURRICULUM DESIGN AND DELIVERY LESSON

Subject: Mathematics - Honors Grade: 6

Page 36 Numerical notations refer to the NJ Core Curriculum Standards 04/08

UNIT OF STUDY: Unit 6 - Measurement and Geometry

Major Objectives Suggested Resources Suggested Activities/Assessment Techniques Teacher Comments

(TWE pg 575-578) Surface Area Mini Lab with partner (TWE pg 575) “Surface Area” (Mathscape)