Math & Pre-AlgebraSyllabus
6th Grade
Instructors
Mr.
Mrs. O’
Mr.
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. Studentsengage in daily lessons, assignments and activities designed to strengthen problem solving skills. Students will communicate theirunderstanding 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
Unit 14 weeks / Operations and Statistical Variability
Essential Questions
- 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?
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
Unit 2
4 weeks / Expressions
Essential Questions
- 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?
Chapter 1 – Lessons 1, 2
Chapter 2 – Lessons 1, 2
Chapter 3 – ALL
Unit 3
4 weeks / Equations and Inequalities
Essential Questions
- 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 three-dimensional figures?
- How are prisms and prisms alike? How are they different?
Chapter 2 – Lessons 3, 4, 5, 6
Chapter 4 – Lesson 5
Chapter 6 – Lessons 5, 6
Chapter 8 – ALL
Unit 4
4 weeks / Rational Numbers
Essential Questions
- 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?
Chapter 6 – Lessons 2, 3, 4 Chapter 7 – ALL
Chapter 9 – Lessons 3, 4, 5
Unit 5
4 weeks / Ratios and Proportions
Essential Questions
- 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?
Chapter 5 – ALL
Second Semester – Pre-Algebra
Unit 14 weeks / Rational Numbers and Equations
Essential Questions
- 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?
Chapters 1, 2, 3, 4 & 5
Unit 2
4 weeks / Proportions and Similarity
Essential Questions
- How are quantitative relationships represented by numbers?
- How does proportional reasoning relate to real-world situations?
- How are percents used to solve problems?
Chapters 6 & 7
Unit 3
4 weeks / Linear and Nonlinear Functions
Essential Questions
- 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?
Chapters 8 & 9
Unit 4
4 weeks / Two and Three Dimensional Space
Essential Questions
- 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?
Chapters 10, 11 & 12
Unit 5
4 weeks / Data Sets
Essential Questions
- 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?
Chapter 13
1