# 8th Grade Algebra

**Topics Covered**

· Slopes and lines

· Exponents and powers

· Quadratic Equations and square roots

· Polynomials

· Linear systems

· Factoring

· Functions

**Necessary Materials**

· Scientific calculator

· 3-ring binder with at least 4 dividers

· Pencil

· Ruler

**Expectations**

· Textbook and class materials are to be brought to class every day.

· Homework is to be completed, with all work neatly shown, and brought to class the day it is due. Reasons for failure to do work should be brought to the teacher’s attention via a note from the parents. All make-up work should be completed as soon as possible.

· Students need to come to class on time ready to participate.

**Grading**

· Class participation/preparation

· Homework is assigned daily and graded according to a homework rubric.Homeworkrubric.pdf

· Quizzes will occur on a regular basis and will be announced at least one day in advance.

· Tests will occur at the end of each chapter.

· Portfolio tasks are assigned at least once a month. Each portfolio counts as a test grade and is graded according to a rubric.

· Notebooks are graded at least once per quarter as a test grade. They are graded on completeness, organization, vocabulary and notes from class, using a notebook rubric.Notebookrubric.pdf

· Mid-year and final exams will be given.

· Late work will be accepted up to 2 weeks past the due date with the following penalties: A loss of 10% of the grade for that assignment per day for the first week and 50% of the grade for that assignment during the second week. At the end of two weeks, the assignment is a 0% and may not be turned in for credit.

**Course Outline**

I) Review Chapters 1-6

A) Cumulative Review Materials Chapters 1-6

II) Slopes and Lines

A) Rates of Change

B) Slope of a Line

C) Properties of Slope

D) Slope-Intercept Equations

E) Equations of a Line Given a Point and a Slope

F) Equations of a Line Given Two Points

G) Fitted Lines

H) Equations for all Lines

I) Graphing Linear Inequalities

III) Exponents and Powers

A) Compound Interest

B) Exponential Growth

C) Constant Increase vs. Exponential Growth

D) Exponential Decay

E) Products and Powers of Powers

F) Negative Exponents

G) Quotients of Powers

H) Powers of Products and Quotients

I) Review of Properties of Exponents and Powers

IV) Quadratic Equations and Square Roots

A) Graphing Equations of the Form y = ax^2

B) Graphing Equations of the Form y = ax^2 + bx + c

C) Graphing Parabolas

D) Quadratic Equations and Projectiles

E) Quadratic Formula

F) Analyzing Solutions to Quadratic Equations

G) Square Roots and Products

H) Absolute Value, Distance Formula, and Square Roots

I) Distances in the Coordinate Plane

V) Polynomials

A) What are They?

B) Investments and Polynomials

C) Multiplying a Polynomial by a Monomial

D) Multiplying Polynomials

E) Multiplying Binomials

F) Special Binomial Products

G) Chi-Square Statistic

VI) Linear Systems

A) Introduction to Systems

B) Solving Systems Using Substitution

C) More uses of Substitution

D) Solving Systems Using Addition

E) Solving Systems Using Multiplication

F) Systems and Parallel Lines

G) Situations Which Sometimes, Always, or Never Will Happen

H) Systems of Inequalities

VII) Factoring

A) Factoring Integers into Primes

B) Monomial Factoring

C) Factoring Expressions in the for x^2 + bx + c

D) Solving Quadratic Equations by Factoring

E) Factoring Expressions in the Form ax^2 +bx + c

F) How was the Quadratic Formula Discovered?

G) Rational and Irrational Numbers

H) Which Quadratic Expressions are Factorable?

VIII) Functions

A) What is a Function?

B) Function Notation

C) Absolute Value Functions

D) Domain and Range

E) Probability Functions

F) Polynomial Functions

G) Tangent Function

H) Functions on Calculators and Computers