Prentice Hall Course 3 Mathematics Common Core, 2013 Edition

Math & Algebra Syllabus 8th Grade

Instructors Mr. Carsillo [email protected] Mrs. O’Donnell [email protected] Mr. Visconti [email protected]

Textbook Prentice Hall Course 3 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 three critical areas of focus in 8th grade. 1.) Analyze two and three dimensional space and figures using distance, angle, similarity and congruence and understanding and applying the Pythagorean Theorem. 2.) Grasp the concept of a function and use functions to describe quantitative relationships. 3.) Formulate and reason about expressions and equations, modeling bivariate data with a linear equation and solve linear equations and systems of linear equations.

First Semester – Math Unit 1 Geometry Textbook 4 weeks Essential Questions Chapter 8 – ALL  How can algebraic concepts be applied to geometry? Chapter 7 – ALL  How can the position of a figure change?  How can you use coordinates to describe transformations?

1  How can you determine congruence and similarity? The Number System Essential Questions Textbook Unit 2  How can the value and size of numbers be compared? Chapter 1 – Lessons 1, 2, 3 4 weeks  How do the different forms of a number relate to each other? Chapter 6 – ALL  How is scientific notation used in the real-world? Functions Essential Questions  How can you represent real-world situations as functional Textbook Unit 3 relationships? Chapter 3 – Lessons 2, 4, 5 4 weeks  When is one representation of a function more useful than another? Chapter 10 – ALL  How can you model relationships between two quantities?  How can you use data to make predictions? Equations Essential Questions Textbook Chapter 2 – ALL Unit 4  How are proportional relationships represented? Chapter 3 – Lessons 1, 3 4 weeks  How can you determine the number of solutions an equation has? Chapter 4 – ALL  How do the components of a graph relate to their real-world context? Chapter 5 – ALL  How are two linear equations compared? Geometry Essential Questions Textbook Unit 5  How can algebraic concepts be applied to geometry? Chapter 1 – Lessons 4, 5, 6, 7 4 weeks  How are formulas helpful in math? Chapter 9 – ALL  How is the Pythagorean Theorem used to solve problems?  How do the volumes of cylinders and cones relate?

Second Semester – Algebra Relationships Between Quantities Essential Questions Unit 1  How does algebra relate to the real world? Textbook 4 weeks  How can mathematical ideas be presented? Chapters 1 & 2  Why is it helpful to write the same mathematical idea in different ways? Unit 2 Linear Relationships Textbook 4 weeks Essential Questions Chapters 3, 4, 5 & 6  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? Exponential and Quadratic Relationships Essential Questions Unit 3  How can you make good decisions? Textbook 4 weeks  What factors can affect good decision making? Chapters 7, 8 & 9  When could a nonlinear function model a real-world situation?  Why do we use different methods to solve math problems? Advanced Functions and Equations Unit 4 Essential Questions Textbook 4 weeks  How can you choose a model to represent a real-world situation? Chapters 10 & 11  How can simplifying mathematical expressions be useful? Data Analysis Unit 5 Essential Questions Textbook 4 weeks Chapter 12  How are statistics and probability used in the real world?