Course Outline
Course Requirements- 2012-2013
Integrated Algebra
General Overview of Course:
The following Units will be covered over the course of the school year.
Unit 1
- Sets & Properties
- Properties of Real Numbers
- Rational & Irrational Numbers
- Determine when relation is a function
- Interval notation
- Set builder notation (union, intersection, complement, subset)
Unit 2
- Geometry-Area, Perimeter, Solids
- Perimeter, Area, Surface Areas, Volume (Formulas) – Quadrilaterals, Circles, Triangles, Rectangular Solids, Cylinders
- Relative error
- Area of a shaded region
Unit 3
- Solving Linear Equations & Inequalities Algebraically
- Translating English to Algebra (equations, inequalities)
- Expression vs. Equation
- Rate
- Conversions
- Literal Equations
- Solving Equations (fractional, decimal, proportion, direct variation, percent – increase & decrease, etc)
- Solving Inequalities
- Evaluating expressions
- Absolute value
Unit 4
- Graphing Functions-Linear and Absolute Value
- Solving for y
- Graphing linear equations, inequalities
- Slope, y-intercept, independent/dependent variables
- Parallel & perpendicular lines
- Writing equations of lines given…
- Identifying linear, absolute value functions
- Investigating linear functions (change of coefficient, slope)
- Systems of Equations
- Solving systems algebraically/graphically (linear, inequalities)
Unit 5
- Polynomials
- Polynomials (Addition, subtraction, multiplication, division, rules of exponents); Monomials & polynomials
- Scientific Notation (products/quotients)
- Exponential Growth & Decay
Unit 6
- Factoring/Quadratics/Algebraic Fractions
- Factoring (GCF, trinomial, dots, factor completely)
- Solving Quadratic Equations (0 product property)
- Quadratic application problems
- Algebraic Fractions (simplify, 4 operations)
- Graphing Quadratic Functions (roots, vertex, axis of symmetry, solution set, linear-quadratic system graphically)
Unit 7
- Pythagorean Theorem and Trigonometry (forward vs. backward)
- Pythagorean’s Theorem – explicit right triangle
- Application of Pythagorean Theorem other than right triangles
- Arithmetic of radicals
- Right triangle trigonometry
- Sine, Cosine, Tangent
- Find missing side
- Find missing angle
- Application problems
Unit 8
- Statistics
- Measures of central tendency
- Qualitative vs. quantitative data
- Bias
- Scatter plots (line of best fit & equation, correlation), histogram, cumulative frequency histograms, box-and-whisker
- Five statistical summary, percentiles
- Univariate vs. bivariate
- Published reports & graphs
Unit 9
Unit 9
- Counting Principle and Probability
- Simple probability
- Tree diagrams, Sample space
- Counting principle
- Probability & the counting principle
- Factorial notation
- Permutations
- Probability of an event and its complement
Classroom Expectations/Rules:
· Be in class on time
· Come prepared each day
· Have a positive attitude and support a positive learning environment
· Ask Questions!!!
· Have confidence!
Course Grading Policy:
10% Do Nows
20% Classwork / Homework
30% Quizzes
40% Tests / Projects
Homework Expectations:
Work can be turned in late but will be penalized. Late homework will only be accepted within 1 week of the due date. Late homework made up within one week will be penalized 2 points for each day late. After this time the homework will receive a zero.
Extra help information:
How does a student make-up work and receive extra help?
Students can make up work and get extra help during lunch or after school.
Teacher contact information:
State Assessment Dates:
Integrated Algebra Final (June)
Integrated Algebra Regents (June)
Required supplies/materials:
- 1” binder OR 1 three subject spiral notebook with 2 two pocket folders
- Pen/Pencil/Highlighter
- Graphing Calculator (optional)
- Ruler
- Agenda/Planner