8th Grade Algebra
Linda Brown
Algebra Syllabus
2013-2014
First Quarter
I.
Expressions, Equations, and Functions
1.
2.
3.
4.
5.
6.
7.
8.
II.
Evaluate expressions
Apply Order of Operations
Write expressions
Write Equations and Inequalities
Problem Solving Plans
Precision and Measurement
Functions as Rules and Tables
Represent Functions as Graphs
i. Scatter Plots
Linear Equations
1. Square Roots, Cubed Roots and Real Numbers
i. Pythagorean Theorem
ii. Scientific Notation Operations
2.
3.
4.
5.
6.
7.
8.
Solving One-Step equations
Solving Two-Step equations
Solving Multi-Step equations
Solving equations with variables on both sides
Writing ratios and proportions
Solving proportions
Rewriting equations and formulas
III. Graphing Linear Equations and Functions
1.
2.
3.
4.
Coordinate plane
Graph Linear Equations
Graph using intercepts
Slope and Rate of Change
i. Unit Rate as slope
ii. Distance/Time graph vs. equation
iii. Similar triangles comparing slopes
5. Slope-Intercept Form
6. Direct Variation
7. Graphing Linear Functions
Second Quarter
IV. Writing Linear Equations
1.Write in Slope-Intercept Form
2.Use in Slope –Intercept Form
i. Families of Lines
ii. Reflections, Rotations, Translations
iii. Congruency
iv. Effects of Transformations on the
coordinate plane
v. Similarity
3.
4.
5.
6.
7.
Write in Point-Slope Form
Write in Standard form
Equations of Parallel and Perpendicular Lines
Line of Best Fit
Predictions with Linear Models
V.Solving and Graphing Linear Inequalities
1.Solve using addition and subtraction
2.Solve using multiplication and division
3.Solve multi-step inequalities
4.Compound Inequalities
5.Absolute Value equations
6.Absolute value inequalities
7.Graphing Linear Inequalities in two variables
VI.
Systems of Equations and Inequalities
1. Solve
2. Solve
3. Solve
4. Solve
5. Solve
6. Solve
Linear Systems by Graphing
Linear Systems by substitution
linear systems by adding or subtracting
linear systems by multiplying first
special types of linear systems
Linear Systems of Inequalities
Third Quarter
VII. Exponents and Exponential Functions
1.
2.
3.
4.
5.
VIII.
Exponent Properties involving Products
Exponent properties involving Quotients
Zero and Negative Exponents
Exponential Growth Functions
Exponential Decay Functions
Polynomials and Factoring
1. Add and Subtract polynomials
2. Multiply Polynomials
3. Special Products of Polynomials
4. Polynomial equations in factored form
5. Factor x2 + bx + c
6. Factor ax2 + bx + c
7. Factor Special products
8. Factor Polynomials completely
IX.
Quadratic Equations and Functions
1. Graph y = ax2 + c
2. Graph y = ax2 + bx + c
3. Solve quadratic equations by graphing
4. Use square roots to solve quadratic equations
5. Solve by Completing the Square
6. Solve by the Quadratic Formula
7. Solve systems with Quadratic Equations
8. Compare Linear, Exponential and Quadratic Models
9. Model Relationships
Fourth Quarter
X.
Data Analysis
1.
2.
3.
4.
5.
XI.
Analyze Surveys and Samples
Use Measures of Central Tendency and Dispersion
Analyze Data
Interpret Stem and Leaf Plots and Histograms
Interpret Box and Whisker Plots
Probability
1.
2.
3.
4.
5.
Find Probabilities and Odds
Finding Probabilities Using Permutations
Find Probabilities Using Combinations
Probabilities of Disjoint and Overlapping Events
Probabilities of Independent and Dependent Events