Algebra I Honors Syllabus:
Introduction to Functions Chapters 4.1 - 4.6 (pages 234-273) 10-31-11 to 12-12-11
A. Graph a linear equation
1. Recognize the pattern
2. Extend the pattern
3. Write the rule from the pattern
B. Identify rates of change
1. Slope
2. Domain, Range
Linear Functions Chapters 5.1, 5.3-5.7 (pages 292-298, 306-340)
C. Writing linear equations
1. Slope/intercept form
a. y-intercept
b. x-intercept
2. Point/slope form
3. Standard form
4. Line of Best Fit – Regression
5. Graphing linear equations
6. Create a table of values
7. Scatter Plots
8. Line of Best Fit
D. Solving Linear Functions
1. Function notation
2. First common difference
3. Function Rule
3. Vertical line test
4. Make predictions
E. Coordinate Geometry
1. Parallel Lines
2. Perpendicular Lines
F. Model real-world situations using linear equations
1. Interpret a graph
G. Solve a real-world problem
Systems of Linear Equations 12/13 – 1/20
Chapters 6.1-6.4 (pages 360-388)
A. Solving a system of linear equations
1. Type of solution
a. Consistent
i. Independent
ii. Dependent
b. Inconsistent
2. Graphing
3. Substitution
4. Linear Combination (Elimination Method)
5. Set Notation
B. Writing a system of linear equations
C. Modeling real-world applications using a system of linear equations
Solving Inequalities 1/24/12 – 2/10/12
Chapters 3.1-3.4, 3.6 (pages 164 - 191, 200 – 206)
A. One-variable Inequalities
1. Graph on a number line
2. Change of sign rule for multiplication/division
3. Compound Inequalities
B. One-variable Inequalities 6.5 – 6.6 (pages 390 – 401)
4. Graph on a number line
5. Change of sign rule for multiplication/division
6. Compound Inequalities
C. System of linear inequalities in two-variables
i. Graphing
a. Solve a two-variable inequality for y
b. Graph a two-variable inequality on a coordinate plane
c. Use a graphing calculator to graph an inequality in two variables
ii. Interpret a graph of a system of real-world data inequalities
iii. Interpret graph of half-planes and write corresponding linear inequalities
B. Graphing Functions
1. Scatter Plots
a. Discrete Data
b. Continuous Data
2. Function Tables
3. Function Mappings
4. Vertical Line Test
5. Interpreting graphs
C. Absolute Value Function
1. Graph
2. Piecewise Definition
3. Identify vertex
D. Transformational Graphing
1. Graph translations of the absolute value function
a. Vertical
b. Horizontal
2. Describe the transformation of the absolute value function
E. Real-world Applications
Study of Exponents 2-28-12 to 03-29-12
Chapters 7.1, 7.3-7.5 (pages 414-419, 426-446)
A. Simplify exponential expressions
1. Laws of Exponents
a. Zero and negative exponents
b. Multiplication of exponents
c. Power properties of exponents
i. Powers with the same base
ii. Power raised to a Power
2. Division of exponents
i. Powers with the same base
ii. Raising a Quotient to a Power
3. Evaluate an exponential expression
Chapters 7.2, 7.6-7.7 (pages 420-425, 447-461)
B. Fit data to exponential models
1. Scientific notation
2. Use ratios to find successive terms
3. Find the next term in a geometric sequence
C. Graph exponential functions
1. Graph using a table of values and substitution
2. Convert from expanded form to exponential form
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