Math & Pre-Algebra Syllabus
6th Grade
Instructors
Mr. Carsillo
Mrs. O’Donnell
Mr. Visconti
hcarsillo@woodlynne.k12.nj.us
modonnell@woodlynne.k12.nj.us
kvisconti@woodlynne.k12.nj.us
Textbook
Prentice Hall Course 1 Mathematics Common Core, 2013 Edition
Course Goals
This course is designed to enhance student’s knowledge of mathematics in the following
areas: the number system, expressions & equations, geometry, ratios & proportional
relationships and statistics & probability. These skills are applied to situations and
scenarios found in the world around us. Students engage in daily lessons, assignments
and activities designed to strengthen problem solving skills. Students will communicate
their understanding of mathematical concepts in a variety of ways through both speaking
and writing.
Objectives
There are four critical areas of focus in 6th grade.
1.) Understand division of fractions and extend knowledge of the system of rational
numbers, including positive and negative values.
2.) Apply algebra skills to write, interpret and use expressions and equations.
3.) Develop an understanding of statistical thinking.
4.) Utilize the concepts of ratio and rate reasoning to solve problems.
First Semester – Math
Operations and Statistical Variability
Essential Questions
Unit 1
4 weeks
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How can models be used to compute fractions?
How do multiplication and division of fractions relate?
How can models help us to understand how to add, subtract, multiply
and divide decimals?
How do positive and negative numbers relate to the real world?
How does the type of question affect the answer or outcome?
How can the mean and median be computed and compared?
How can a set of data be described?
Textbook
Chapter 4 – Lessons 1, 2, 3, 4
Chapter 1 – Lessons 3, 4, 5, 6
Chapter 6 – Lesson 1
Chapter 9 – Lessons 1, 2, 6, 7, 8
1
Expressions
Essential Questions
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Unit 2
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4 weeks
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What are exponents and how are they used?
How do numerical and algebraic expressions differ? How are they the
same?
What are the parts of an algebraic expression?
How is the order of operations important when evaluating
expressions?
How does the Distributive Property help us to write equivalent
expressions?
What are Like Terms and how are they collected to write equivalent
expressions?
How do you find the greatest common factor and least common
multiple of numbers?
Textbook
Chapter 1 – Lessons 1, 2
Chapter 2 – Lessons 1, 2
Chapter 3 – ALL
Equations and Inequalities
Essential Questions
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Unit 3
4 weeks
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How do I use algebra to analyze or solve problems?
How can I figure out how much space is inside a two-dimensional
figure?
How can I figure out how much a rectangular prism can hold?
How can I figure out how much space is around a rectangular prism?
How can I put shapes together and pull them apart to make other
shapes?
What is the difference between two-dimensional and threedimensional figures?
How are prisms and prisms alike? How are they different?
Textbook
Chapter 2 – Lessons 3, 4, 5, 6
Chapter 4 – Lesson 5
Chapter 6 – Lessons 5, 6
Chapter 8 – ALL
Rational Numbers
Essential Questions
Unit 4
4 weeks
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How do numbers relate to zero on the number line?
How are number lines used to compare rational numbers?
How are integers used to identify the location of points on the
Coordinate Plane?
How do different points on the Coordinate Plane relate to each other?
How can integers be used to compare numbers in real world contexts?
How can the Coordinate Plane be used to find the area of polygons?
How can numerical data be displayed on graphs?
Textbook
Chapter 6 – Lessons 2, 3, 4
Chapter 7 – ALL
Chapter 9 – Lessons 3, 4, 5
Ratios and Proportions
Essential Questions
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Unit 5
4 weeks
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How are ratios and rates used to compare quantities?
How does proportional reasoning help to solve real world
problems?
How are equations, tables and graphs used to show
proportional relationships?
How are percents used to solve problems?
How are ratios used to convert units of measurement?
What is the relationship between independent and dependent
variables?
Textbook
Chapter 5 – ALL
2
Second Semester – Pre-Algebra
Rational Numbers and Equations
Essential Questions
Unit 1
4 weeks
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How do algebraic concepts relate to the real-world?
How can the value and size of numbers be compared?
How do the different forms of a number relate to each other?
How are variables used to represent unknown quantities and
relationships?
How can you model real-world situations?
Textbook
Chapters 1, 2, 3, 4 & 5
Proportions and Similarity
Unit 2
4 weeks
Essential Questions
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How are quantitative relationships represented by numbers?
How does proportional reasoning relate to real-world situations?
How are percents used to solve problems?
Textbook
Chapters 6 & 7
Linear and Nonlinear Functions
Essential Questions
Unit 3
4 weeks
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How can you model relationships between quantities?
How do coordinate planes help organize mathematical data?
How do the components of a graph relate to their real-world context?
How can you use data to make predictions?
Textbook
Chapters 8 & 9
Two and Three Dimensional Space
Essential Questions
Unit 4
4 weeks
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How can algebraic concepts be applied to geometry?
How are formulas helpful in math?
How can the position of a figure change?
What relationships exist between angles, lines and shapes?
Textbook
Chapters 10, 11 & 12
Data Sets
Essential Questions
Unit 5
4 weeks
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How can you analyze data to represent a real-world situation?
How can you use data to make predictions?
How does understanding probability affect the choices I make in real
life?
Textbook
Chapter 13
3