Download 7th Grade Syllabus

Math & Algebra Syllabus
7th Grade
Instructors
Mr. Carsillo
Mrs. O’Donnell
Mr. Visconti
[email protected]
[email protected]
[email protected]
Textbook
Prentice Hall Course 2 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 7th grade.
1.) Develop and understanding of operations with rational numbers and work with
expressions and linear equations.
2.) Apply proportional relationships in a variety of ways.
3.) Make inferences about populations based on samples.
4.) Solve problems involving scale drawings and geometric constructions and working
with two and three dimensional shapes to solve problems about area, surface area
and volume.
First Semester – Math
The Number System
Essential Questions
Unit 1
4 weeks
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How do I compute rational numbers?
How do positive and negative numbers relate to situations found in
the real world?
How do I convert a rational number to a decimal?
How do I solve multi-step problems with rational numbers?
Textbook
Chapter 1 – ALL
1
Expressions and Equations
Essential Questions
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Unit 2
4 weeks
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How are algebraic expressions added, subtracted, multiplied and
divided?
How can you rewrite expressions to help you solve problems?
How do you solve equations that involve multiple operations?
How do you solve inequalities that involve multiple operations?
How can you solve problems by using expressions, equations and
inequalities?
Textbook
Chapter 2 – ALL
Chapter 3 – ALL
Ratios and Proportions
Essential Questions
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Unit 3
4 weeks
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How do you find and compare unit rates?
How are tables and equations used to identify and describe
proportional relationships?
How are graphs used to represent and analyze proportional
relationships?
How does proportional reasoning help to solve real world problems?
How are percents used to solve problems?
How are scale drawings used to solve problems?
How can you draw shapes that satisfy given conditions?
Textbook
Chapter 4 – ALL
Chapter 5 – ALL
Statistics and Probability
Essential Questions
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Unit 4
4 weeks
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How can you use a sample to gain information about a population?
How are samples used to make and compare predictions about a
population?
How can you use measures of center and variability to compare two
populations?
How can you describe the likelihood of an event?
How can you find the theoretical probability of an event?
How can you find the experimental probability of an event?
How do you find the probability of a compound event?
How can you use simulations to estimate probabilities?
Textbook
Chapter 8 – ALL
Chapter 9 – ALL
Geometry
Essential Questions
Unit 5
4 weeks
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How can you identify cross sections of three-dimensional figures?
How can you use angle pairs to solve problems?
How can I solve for the circumference and area of a circle?
How do you find the area of composite figures?
How do you find the surface area of a figure made up of prisms?
How do you find the volume of a figure made up of cubes and prisms?
How can I put shapes together and pull them apart to make other
shapes?
Textbook
Chapter 6 – ALL
Chapter 7 – ALL
2
Second Semester – Algebra
Relationships Between Quantities
Unit 1
4 weeks
Essential Questions
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How does algebra relate to the real world?
How can mathematical ideas be presented?
Why is it helpful to write the same mathematical idea in different
ways?
Textbook
Chapters 1 & 2
Linear Relationships
Essential Questions
Unit 2
4 weeks
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Why are graphs useful?
Why is math used to model real-world situations?
How are symbols useful in mathematics?
How can you find the solution to a math problem?
Textbook
Chapters 3, 4, 5 & 6
Exponential and Quadratic Relationships
Essential Questions
Unit 3
4 weeks
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How can you make good decisions?
What factors can affect good decision making?
When could a nonlinear function model a real-world situation?
Why do we use different methods to solve math problems?
Textbook
Chapters 7, 8 & 9
Advanced Functions and Equations
Unit 4
4 weeks
Unit 5
4 weeks
Essential Questions
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How can you choose a model to represent a real-world situation?
How can simplifying mathematical expressions be useful?
Data Analysis
Essential Questions
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How are statistics and probability used in the real world?
Textbook
Chapters 10 & 11
Textbook
Chapter 12
3