Mr. Leonard Haney, Mrs. Jennifer Jackson, and Ms. Mandy Young

Sevierville Middle School, Sevier County School System

Fall 2017-2018

Contact Information

Telephone: 865-453-0311

Planning Time: 11:00-12:00 Daily

Email: leonardhaney@sevier.org; jenniferjackson@sevier.org; mandyyoung@sevier.org

Text

ISBN 978-0-544-05678-7

Required Supplies

Paper

Pencil

Math notebook

Math textbook

Chromebook

Course Overview

The Number System

This is the culminating area for the number system from 6 th and 7th grade. Students now know there are numbers that are not rational, called irrational numbers. Students approximate irrational numbers by rational numbers locating them on a number line and students estimate the value of irrational expressions.

Expressions and Equations

Students work with radicals and integer exponents. Students understand the connections between proportional relationships, lines, and linear equations. Students advance their knowledge developed in 7th grade about equations to analyze and solve linear equations and pairs of simultaneous linear equations. Students use linear equations and systems of linear equations to represent, analyze, and solve a variety of problems. Students recognize equations for proportions (y/x = m or y = mx) as special linear equations (y = mx + b), understanding that the constant of proportionality (m) is the slope, and the graphs are lines through the origin. They understand that the slope (m) of a line is a constant rate of change, so that if the input or x-coordinate changes by an amount A, the output or y-coordinate changes by the amount 𝑚𝐴. Students solve systems of two linear equations in two variables and relate the systems to pairs of lines in the plane; these intersect, are parallel, or are the same line. Students use linear equations, systems of linear equations, linear functions, and their understanding of slope of a line to analyze situations and solve problems.

Functions

This begins the formal study of functions, a mathematical concept that for the student will continue throughout high school. Students grasp the concept of a function as a rule that assigns to each input exactly one output. They understand that functions describe situations where one quantity determines another. They can translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations.

Geometry

Students use ideas about distance and angles and how they behave under translations, rotations, reflections, and dilations, to describe and analyze two-dimensional figures and to solve problems. Students show that the sum of the angles in a triangle is the angle formed by a straight line and that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines. Students understand the statement of the Pythagorean Theorem and its converse and can explain why the Pythagorean Theorem holds. They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons. Students complete their work on volume by solving problems involving cones, cylinders, and spheres.

Statistics and Probability

Students extend their knowledge from 7th grade by working with scatter plots for bivariate data and understand linear associations and the use of linear models to solve problems interpreting the slope and intercept. Students continue work with probability by finding probability of compound events and represent the data using organized lists, tables, and tree diagrams.

Course Standards/Objectives

State standards for teaching and learning in this course and others can are available at http://tn.gov/education/topic/academic-standards