th
Instructors
Mr. Carsillo hcarsillo@woodlynne.k12.nj.us
Mrs. O’Donnell modonnell@woodlynne.k12.nj.us
Mr. Visconti kvisconti@woodlynne.k12.nj.us
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 7 th 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. with two and three dimensional shapes to solve problems about area, surface area and volume.
First Semester – Math
Unit 1
4.) Solve problems involving scale drawings and geometric constructions and working
4 weeks
The Number System
Essential Questions
 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

Unit 2
4 weeks
Unit 3
4 weeks
Unit 4
4 weeks
Unit 5
4 weeks
Expressions and Equations
Essential Questions

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?
Ratios and Proportions
Essential Questions

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?
Statistics and Probability
Essential Questions

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?
Geometry
Essential Questions
 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 2 – ALL
Chapter 3 – ALL
Textbook
Chapter 4 – ALL
Chapter 5 – ALL
Textbook
Chapter 8 – ALL
Chapter 9 – ALL
Textbook
Chapter 6 – ALL
Chapter 7 – ALL
2

Second Semester – Algebra
Unit 1
4 weeks
Relationships Between Quantities
Essential Questions

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?
Unit 2
4 weeks
Linear Relationships
Essential Questions
 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?
Unit 3
4 weeks
Exponential and Quadratic Relationships
Essential Questions
 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?
Unit 4
4 weeks
Unit 5
4 weeks
Advanced Functions and Equations
Essential Questions

How can you choose a model to represent a real-world situation?

How can simplifying mathematical expressions be useful?
Data Analysis
Essential Questions

How are statistics and probability used in the real world?
Textbook
Chapters 1 & 2
Textbook
Chapters 3, 4, 5 & 6
Textbook
Chapters 7, 8 & 9
Textbook
Chapters 10 & 11
Textbook
Chapter 12
3