DOBBS FERRY MIDDLE SCHOOL
Dobbs Ferry, New York 10522
COURSE OUTLINE
SUBJECT: Integrated Algebra
GRADE: 8
Offered: Full Year
Type of Course: Required unless student is taking Mathematics 8
COURSE DESCRIPTION:
The Integrated Algebra course focuses on the concepts outlined in the New York State
standards. This is a one year regent’s course and will follow the students on their high
school transcripts. The course is broken into the following units: number theory; algebra;
linear equations and inequalities; polynomials; algebraic fractions; polygons; graphing
linear functions, non-linear functions and quadratics; probability and statistics. At the
end of the course students will have mastered all the concepts necessary to continue into
the ninth grade Geometry course.
ANTICIPATED OUTCOMES:
By June of this year (monthly), students in this class will be able to:
September
Operations with sign numbers/Absolute value
Order of Operations (PEMDAS)
Evaluating and Translating Expressions
Properties of real numbers
Classifications of real numbers
Scientific notation
October
Laws of Exponents
Algebraic equations (one, two, multi- step, variables on both sides, distributive property)
Consecutive integers, Coin, Age, Perimeter, Motion (D= RT) and word problems
November
Inequalities- solve and graph on a number line
Verbal and Compound inequalities
Proportions, Ratios, Similar polygons
Percent Applications (Discount, sale price, tax, tip and percent change)
December
Operations with polynomials (addition of polynomial by polynomial, subtraction of
polynomial by polynomial, Multiplication of monomial by polynomial, binomial, by
binomial, Division of polynomial by monomial)
Factoring- GCF, trinomials, completely, difference of perfect squares
January
Factoring continued
Solving Quadratic equations by factoring
Algebraic Fractions- undefined, simplify, add/subtract like and unlike denominators,
multiply and divide
February
Algebraic Fractions continued
Fractional equations
Intro to Functions- range, domain, vertical line test
Intro to coordinate plane
March
Graph absolute value and exponential functions
Graph linear equations- slope formula, point slope formula, graphing by slope/y-intercept
form, definitions of parallel and perpendicular lines
Solve linear systems graphically and algebraically (elimination, substitution)
Graph inequalities on a coordinate plane
April
Solve linear inequalities graphically
Graph parabolas (axis of symmetry, solve using the graph)
Solve Quadratic and Linear systems graphically and algebraically
May
Radicals- simplify, add, subtract, multiply and divide
Trigonometry- SOH CAH TOA, find a side, find an angle, angle of elevation and
depression
Probability- counting principal, sample space, tree diagrams, mutually exclusive,
independent, permutations, Venn diagrams
June
Statistics- Box and whisker stem and leaf, back to back stem and leaf, histograms,
histograms, scatter plot (line of best fit), quantitative, qualitative data, and relative error
Review for Regents
MATERIALS:
- 2 inch green binder filled with loose-leaf and dividers
- Pens/Pencils/Pencil case
- TI 83 Plus graphing calculator
- Agenda Pad
CRITERIA FOR ASSESSMENT:
At the end of each quarter every student will have earned a grade. This grade is the
percentage of points earned out of the total number of possible points. These points are
earned by the student’s performance in the following areas.
-Class Participation
-Homework
-Tests/Quizzes
- Projects
STUDENT/PARENT RESOURCES:
- www.regentsprep.org
- www.jmap.org
- www.math.com
Outline developed by: Mathematics Department
Date: Fall 2011