Unit
|
Concepts
|
1.Review Chapters 1-2 (supplementing with graphing calculator technology)
|
Order of operations
Real number system
Patterns and functions
Scatterplots
Mean, median, mode, and range
Computation with rational numbers
Basics of using graphing calculator
Theoretical and experimental probability
|
2. Solving Equations and Inequalities (Chapters 3 – 4)
|
Solve two step, multi-step, and variables on both sides equations
Ratio, proportion, and similar figures
Percent change
Estimating square roots
Pythagorean theorem
Solving and graphing inequalities
Solving compound inequalities
Solving absolute value equations and inequalities
|
3. Graphing Linear Equations (Chapters 5-6)
|
Plotting points in a coordinate plane
Graphing linear equations using a table, using x-y intercepts, and using slope/y-intercept equation
Finding the slope of a line
Interpreting slope as a rate of change
Graph and interpret equations representing real-life situations
Identify functions
Use functions to represent real-life situations
Express real-life situations with a linear equation
Making scatter plots and finding a line of best-fit for a set of data
Writing equations of lines given a point and the slope or given two points of the line
Using point-slope and standard forms for linear equations
Using calculator technology
Projects: Barbie Bungee Jump, Fahrenheit vs. Celsius using the CBL
|
4. Solving and Graphing Systems of Equations and Inequalities. (Chapter 7)
|
Solving systems of linear equations by graphing, substitution and linear combinations
Solving systems of linear inequalities
|
5. Exponents and Exponential Functions (Chapter 8)
|
Multiplication and division properties of exponents
Zero and negative properties of exponents
Scientific notation
Exponential growth and decay functions
Project: M & M activity to model decay
|
6. Polynomial and Factoring (Chapter 9)
|
Addition, subtraction and multiplication of polynomials
Factoring x2+ bx + c and ax2 + bx + c
Factoring special cases
Factoring by grouping
|
7. Quadratic Equations and Functions (Chapter 10)
|
Graphing quadratic equations
Simplifying square roots
Solving quadratic equations by completing the square, by factoring ,and by the quadratic formula
Applications of the discriminate
Graphing quadratic inequalities
Solving polynomial equations
|
8. Radicals Expressions and Equations
|
Simplifying radicals
Functions involving square roots
Operations with radical expressions
Solving radical equations
|
9. Rational Expressions and Functions
|
Simplifying rational expressions
Multiplying and dividing rational expressions
Adding and subtracting rational expressions
Dividing polynomials
Solving rational equations and functions
Permutations and combinations
|
10. Probability for Alg I
|
Frequency and Histograms
Samples and Surveys
Two-Way Frequency Table
Permutations and Combinations
Theoretical and Experimental Probability
Simulations
Compound Events
Conditional Probability
|
Homework will occur almost daily and will be evaluated the following day. Tests will occur at the end of each chapter and may contain short answer, multiple choice, essay and/or open response questions. In each chapter there will be one or two quizzes, which may or may not be announced. Activities and projects will be evaluated using a guide given to the student at the beginning of the assignment.