Lower Township Elementary Schools
Mathematics
6th Grade
Adopted by the LTES Board of Education January 24, 2024
Updated and adopted with 2023 Standards August 28, 2024
Lower Township Elementary Schools
Mathematics

Grade 6
Lower Township Board of Education
Gary Douglass, President
Monica DiVito, Vice President
Tricia Ryan, Secretary
Cindy Baldacchini
Lauren Cox
Lauren Randle
Lindsey Selby
Patrica Smith
Joseph Thomas
Jon Vile
Lower Township District Administration
Jeff Samaniego, Superintendent
Sarah Bowman, Supervisor of Curriculum and Instruction
Christina Granero, Supervisor of Academic Achievement
Debra Keeler, Supervisor of Special Services
Interdisciplinary Connections |
English Language Arts - RI.6.4. Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings.
Science - MS-ESS1-3. Analyze and interpret data to determine scale properties of objects in the solar system.
- MS-PS2-1. Apply Newton’s Third Law to design a solution to a problem involving the motion of two colliding objects. MS-PS2-2. Plan an investigation to provide evidence that the change in an object’s motion depends on the sum of the forces on the object and the mass of the object.
|
Integration of Technology |
9.4 Life Literacies and Key Skills - 9.4.8.TL.2- Gather data and digitally represent information to communicate a real-world problem.
- 9.4.8.TL.6: Collaborate to develop and publish work that provides perspectives on a real-world problem.
|
21st Century Skills |
9.4 Life Literacies and Key Skills - 9.4.8.IML.14: Analyze the role of media in delivering cultural, political, and other societal messages.
- 9.4.8.DC.8: Explain how communities use data and technology to develop measures to respond to effects of climate change (e.g., smart cities).
- 9.4.8.CT.2: Develop multiple solutions to a problem and evaluate short- and long-term effects to determine the most plausible option
- 9.4.8.IML.4: Ask insightful questions to organize different types of data and create meaningful visualizations.
- 9.4.8.IML.12: Use relevant tools to produce, publish, and deliver information supported with evidence for an authentic audience.
- 9.4.8.IML.8: Apply deliberate and thoughtful search strategies to access high-quality information on climate change (e.g., 1.1.8.C1b).
- 9.4.8.CI.1: Assess data gathered on varying perspectives on causes of climate change (e.g., cross cultural, gender-specific, generational), and determine how the data can best be used to design multiple potential solutions
- 9.4.8.DC.8: Explain how communities use data and technology to develop measures to respond to effects of climate change (e.g., smart cities).
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Career Education |
9.2 Career Awareness, Exploration, and Preparation - 9.2.8.CAP.20- Identify the items to consider when estimating the cost of funding a business
- 9.2.8.CAP.13 Compare employee benefits when evaluating employment interests and explain the possible impact on personal finances.
- 9.2.8.CAP.11: Analyze potential career opportunities by considering different types of resources, including occupation databases, and state and national labor market statistics.
- 9.2.8.CAP.8: Compare education and training requirements, income potential, and primary duties of at least two jobs of interest.
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SUBJECT: Math GRADE LEVEL: 6th UNIT TITLE: Number and Quantity - Chapters 1-4 LENGTH OF STUDY: 55 days Pacing Guide START OF UNIT: 9/11/23 END OF UNIT: 12/12/2023 |
Unit Learning Goals |
- Perform operations with multi-digit numbers and find common factors and multiples
- Divide fractions by fractions
- Use ratios to solve problems
|
Materials |
Primary: - Big Ideas Teacher Manual
- Big Ideas Student TextBooks
- Big Ideas Online Platform
Supplemental: - IXL
- Online math games
- Brain Pop
- Khan Academy
|
Daily Targets | Standards | Instructional Activities |
Section 1.1 Powers and Exponents | 6.EE.A.1 | |
Section 1.2 Order of Operations | 6.EE.A.1 |
Section 1.3 Prime Factorization | 6.NS.B.4 |
Section 1.4 Greatest Common Factor | 6.NS.B.4 |
Section 1.5 Least Common Multiple | 6.NS.B.4 |
Section 2.1 Multiplying Fractions | 6.NS.A.1 |
Section 2.2 Dividing Fractions | 6.NS.A.1 |
Section 2.3 Dividing Mixed Numbers | 6.NS.A.1 |
Section 2.4 Adding and Subtracting Decimals | 6.NS.B.3 |
Section 2.5 Multiplying Decimals | 6.NS.B.3 |
Section 2.6 Dividing Whole Numbers | 6.NS.B.2 |
Section 2.7 Dividing Decimals | 6.NS.B.3 |
Section 3.1 Ratios | 6.RP.A.1.; 6.RP.A.3 |
Section 3.2 Using Tape Diagrams | 6.RP.A.1.; 6.RP.A.3 |
Section 3.3 Using Ratio Tables | 6.RP.A.1.; 6.RP.A.3; 6.RP.A.3a |
Section 3.4 Graphing Ratio Relationships | 6.RP.A.1.; 6.RP.A.3; 6.RP.A.3a |
Section 3.5 Rates and Unit Rates | 6.RP.A.2.; 6.RP.A.3; 6.RP.A.3a; 6.RP.A.3b |
Section 4.1 Percents and Fractions | 6.RP.A.3c; 6.RP.C.7a; 6.NS.C.7b |
Section 4.2 Percents and Decimals | 6.RP.A.3c; 6.RP.C.7a; 6.NS.C.7b |
Section 4.3 Comparing and Ordering Fractions, Decimals, and Percents | 6.NS.C.7a; 6.NS.C.7b |
Section 4.4 Solving Percent Problems | 6.RP.A.3; 6.RP.A.3c |
Convert Units of Length | 6.RP.A.3d |
Convert Units of Capacity | 6.RP.A.3d |
Convert Units of Weight/Mass | 6.RP.A.3d |
Section 3.6 | 6.RP.A.3; 6.RP.A.3d |
Accommodations and Modifications |
Special Education | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Multilingual Learners | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
|
Students At-Risk of School Failure | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
- Chunking content into small segments
- Shorten or reduce assignment to focus on one specific skill
|
Gifted and Talented | - Student Choice
- Student centered activities
- Enhance skill or activity based on Individual Student Need
- Allow for flexible grouping
- Problem solving situations
|
Students with 504 Plans | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Assessments |
Formative | - Classwork
- Homework
- IXL
- Observation
- Questioning
|
Summative | |
Benchmark | - Prerequisite Skills Inventory
- Cumulative Review
- End of the Year Test
|
Alternative | |
SUBJECT: Math GRADE LEVEL: 6th UNIT TITLE: Algebra and Functions - Chapters 5 & 6 LENGTH OF STUDY: 24 days START OF UNIT: 1/2/2024 END OF UNIT: 2/5/2024 |
Unit Learning Goals |
- Perform arithmetic with algebraic expressions
- Solve one-variable equations and inequalities
- Analyze relationships between dependent and independent variables
|
Materials |
Primary: - Big Ideas Teacher Manual
- Big Ideas Student TextBooks
- Big Ideas Online Platform
Supplemental: - IXL
- Online math games
- Brain Pop
|
Daily Targets | Standards | Instructional Activities |
Section 5.1 Algebraic Expressions | 6.EE.A.2b; 6.EE.A.2c | |
Section 5.2 Writing Expressions | 6.EE.A.2a |
Section 5.3 Properties of Addition and Multiplication | 6.EE.A.3; 6.EE.A.4 |
Section 5-4 The Distributive Property | 6.EE.A.2b; 6.EE.A.3; 6.EE.A.4 |
Section 5-5 Factoring Expressions | 6.NS.B.4; 6.EE.A.2b; 6.EE.A.3; 6.EE.A.4 |
Section 6.1 Writing Equations in One Variable | 6.EE.B.5; 6.EE.B.6; 6.EE.B.7 |
Section 6.2 Solving Equations Using Addition and Subtraction | 6.EE.B.5; 6.EE.B.6; 6.EE.B.7 |
Section 6.3 Solving Equations Using Multiplication or Division | 6.EE.B.5; 6.EE.B.6; 6.EE.B.7 |
Section 6.4 Writing Equations in Two Variables | 6.EE.B.6; 6.EE.B.9 |
Accommodations and Modifications |
Special Education | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Multilingual Learners | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
|
Students At-Risk of School Failure | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
- Chunking content into small segments
- Shorten or reduce assignment to focus on one specific skill
|
Gifted and Talented | - Student Choice
- Student centered activities
- Enhance skill or activity based on Individual Student Need
- Allow for flexible grouping
- Problem solving situations
|
Students with 504 Plans | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Assessments |
Formative | - Classwork
- Homework
- IXL
- Observation
- Questioning
|
Summative | |
Benchmark | - Prerequisite Skills Inventory
- Cumulative Review
- End of the Year Test
|
Alternative | |
SUBJECT: Math GRADE LEVEL: 6th UNIT TITLE: Geometry - Chapter 7 LENGTH OF STUDY: 15 days START OF UNIT: 2/6/2024 END OF UNIT: 2/27/2024 |
Unit Learning Goals |
- Solve real-world and mathematical problems involving area, surface area, and volume
|
Materials |
Primary: - Big Ideas Teacher Manual
- Big Ideas Student TextBooks
- Big Ideas Online Platform
Supplemental: - IXL
- Online math games
- Brain Pop
|
Daily Targets | Standards | Instructional Activities |
Section 7.1 Areas of Parallelograms | 6.EE.2c; 6.G.A.1 | |
Section 7.2 Areas of Triangles | 6.EE.2c; 6.G.A.1 |
Section 7.3 Areas of Trapezoids and Kites | 6.EE.2c; 6.G.A.1 |
Section 7.4 Three-Dimensional Figures | 6.G.A.4 |
Section 7.5 Surface Areas of Prisms | 6.G.A.4 |
Section 7.6 Surface Areas of Pyramids | 6.G.A.4 |
Section 7.7 Volumes of Rectangular Prisms | 6.G.A.2 |
Accommodations and Modifications |
Special Education | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Multilingual Learners | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
|
Students At-Risk of School Failure | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
- Chunking content into small segments
- Shorten or reduce assignment to focus on one specific skill
|
Gifted and Talented | - Student Choice
- Student centered activities
- Enhance skill or activity based on Individual Student Need
- Allow for flexible grouping
- Problem solving situations
|
Students with 504 Plans | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Assessments |
Formative | - Classwork
- Homework
- IXL
- Observation
- Questioning
|
Summative | |
Benchmark | - Prerequisite Skills Inventory
- Cumulative Review
- End of the Year Test
|
Alternative | |
SUBJECT: Math GRADE LEVEL: 6th UNIT TITLE: Number and Quantity & Algebra Functions - Chapter 8 LENGTH OF STUDY: 12 days START OF UNIT: 2/28/2024 END OF UNIT: 3/14/2023 |
Unit Learning Goals |
- Extend understanding of number to the rational number system
- Solve one-variable equations and inequalities
|
Materials |
Primary: - Big Ideas Teacher Manual
- Big Ideas Student TextBooks
- Big Ideas Online Platform
Supplemental: - IXL
- Online math games
- Brain Pop
|
Daily Targets | Standards | Instructional Activities |
Section 8.1 Integers | 6.NS.C.5; 6.NS.C.6a; 6.NS.C.6c | |
Section 8.2 Comparing and Ordering Integers | 6.NS.C.6c; 6.NS.C.7a; 6.NS.C.7b |
Section 8.3 Rational Numbers | 6.NS.C.5; 6.NS.C.6a; 6.NS.C.6c; 6.NS.C.7a; 6.NS.C.7b |
Section 8.4 Absolute Value | 6.NS.C.7c; 6.NS.C.7d |
Section 8.5 The Coordinate Plane | 6.NS.C.6b; 6.NS.C.6c; 6.NS.C.8 |
Section 8.6 Polygons in the Coordinate Plane | 6.NS.C.8; 6.G.A.3 |
Section 8.7 Writing and Graphing Inequalities | 6.EE.B.5; 6.EE.B.6; 6.EE.B.8 |
Section 8.8 Solving Inequalities | 6.EE.B.5; 6.EE.B.6; 6.EE.B.8 |
Accommodations and Modifications |
Special Education | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Multilingual Learners | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
|
Students At-Risk of School Failure | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
- Chunking content into small segments
- Shorten or reduce assignment to focus on one specific skill
|
Gifted and Talented | - Student Choice
- Student centered activities
- Enhance skill or activity based on Individual Student Need
- Allow for flexible grouping
- Problem solving situations
|
Students with 504 Plans | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Assessments |
Formative | - Classwork
- Homework
- IXL
- Observation
- Questioning
|
Summative | |
Benchmark | - Prerequisite Skills Inventory
- Cumulative Review
- End of the Year Test
|
Alternative | |
SUBJECT: Math GRADE LEVEL: 6th UNIT TITLE: Measurement, Data, and Probability - Chapters 9 & 10 LENGTH OF STUDY: 18 days START OF UNIT: 3/18/2024 END OF UNIT: 4/19/2024 |
Unit Learning Goals |
- Develop understanding of statistical variability and summarize and describe distributions
|
Materials |
Primary: - Big Ideas Teacher Manual
- Big Ideas Student TextBooks
- Big Ideas Online Platform
Supplemental: - IXL
- Online math games
- Brain Pop
|
Daily Targets | Standards | Instructional Activities |
Section 9.1 Introduction to Statistics | 6.SP.A.1; 6.SP.A.2; 6.SP.B.4; 6.SP.B.5a; 6.SP.B.5b | |
Section 9.2 Mean | 6.SP.A.2; 6.SP.A.3; 6.SP.B.5a; 6.SP.B.5c |
Section 9.3 Measures of Center | 6.SP.A.2; 6.SP.A.3; 6.SP.B.5c |
Section 9.4 Measures of Variation | 6.SP.A.2; 6.SP.A.3; 6.SP.B.5c |
Section 9.5 Mean Absolute Deviation | 6.SP.A.2; 6.SP.A.3; 6.SP.B.5c |
Section 10.1 Stem-and-Leaf Plots | 6.SP.A.2 |
Section 10.2 Histograms | 6.SP.B.4 |
Section 10.3 Shapes of Distribution | 6.SP.A.2; 6.SP.B.4 |
Section 10.4 Choosing Appropriate Measures | 6.SP.A.2; 6.SP.B.5d |
Section 10.5 Box-and-Whisker Plots | 6.SP.A.2; 6.SP.B.4; 6.SP.B.5c |
Accommodations and Modifications |
Special Education | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Multilingual Learners | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
|
Students At-Risk of School Failure | - Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Utilize visual and audio cues
- Highlight, define, or demonstrate important vocabulary
- Restate, reword, clarify directions
- Chunking content into small segments
- Shorten or reduce assignment to focus on one specific skill
|
Gifted and Talented | - Student Choice
- Student centered activities
- Enhance skill or activity based on Individual Student Need
- Allow for flexible grouping
- Problem solving situations
|
Students with 504 Plans | - Follow 504/IEP accommodations
- Step by step examples
- Visual demonstration of skill or activity
- Allow for flexible grouping
- Student centered activities
- Learning Stations
- Small group & large group discussions
- Problem solving situations
- Restate, reword, clarify directions
- Provide Educational “breaks” as necessary
- Utilize visual and audio cues
|
Assessments |
Formative | - Classwork
- Homework
- IXL
- Observation
- Questioning
|
Summative | |
Benchmark | - Prerequisite Skills Inventory
- Cumulative Review
- End of the Year Test
|
Alternative | |