Algebra 1

Units

Unit Essential Questions Content Skills and Processes Assessment Resources
Interpreting Graphs

·What information can be gleaned from a graph?

*Intercepts
*Intersections
*Rate of Change
*Slope
*Domain and Range
*Independent and Dependent Variables
 

*Compare and contrast different graphs
*Understand both real-life data graphs and abstract data graphs
*Identify domain, range, maxima, minima, intercepts, intersections, rates of change, independent and dependent variables
*Create scenarios that could describe a different graph
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus
Geometer's Sketchpad

Generalizing Patterns - Pre Algebra Review

·What information do numbers give us?
·How can you manipulate numbers?
·What types of generalizations can be made given different patterns?

*Pre-algebra review
*Variables
*Exponents
*Basic operations
*Radicals
*Prime factorization
*Order on a number line
*Terminology: integers, rationals, even, odd, prime, squares, cubes, powers, etc.
*Very large and very small numbers
*Rounding
*Exact vs. approximate
*Order of operations
*Equations and inequalities
*Translating verbal phrases
*Problem solving
*Real number operations (fractions etc)
*Graphs of patterns
*Tables of patterns
*Equations of patterns
*Function Notation

*Evaluate expressions using grouping symbols
*Evaluate algebraic expressions with variables
*Evaluate algebraic expressions with exponents
*Demonstrate an understanding of the importance of priority of operations
*Combine like terms
*Solve equations with inequalities
*Translate verbal phrases into algebraic expressions
*Create a problem solving plan
*Solve problems with all operations with integers
*Represent a given pattern through tables, graphs, or equations
*Use and demonstrate understanding of function notation

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus
 

Linear Functions

·How can we make sense of linear relationships?

*Solving Linear Equations
*Graphing Linear Functions
*Writing Linear Equations

*Solve any linear equation
*Solve for a variable in terms of other variables (literal equations)
*Graph a linear function by using tables, intercepts, or slope-intercept form
*Find the slope of a line
*Solve equations using graphs
*Write linear equations in 3 different forms: slope-intercept, point-slope, and
standard
*Move from any form of a linear equation to a different form
*Create a method for finding the best fit line for a given data set
*Make predictions based on linear models created to represent data
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus
Geometer's Sketchpad

Linear Inequalities

·How can we model behavior that uses phrases surrounding linear relationship like at most or less than?

*Solving Linear Inequalities
*Graphing Linear Inequalities in one and two variables
*Compound Inequalities
*Absolute Value Equations and Inequalities
 

*Solve linear inequalities and compound inequalities using algebra
*Solve linear inequalities and compound inequalities using calculators
*Graph linear inequalities and compound inequalities on a number line
*Graph linear inequalities and compound inequalities of two variables on a coordinate plane
*Write linear inequalities and compound inequalities given a graph
*Solve absolute value equations and inequalities using algebra
*Solve absolute value equations and inequalities using calculators
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus

Systems of Equations and Inequalities

·How do we represent relationships that have multiple requirements?

*Solving Systems of Equations by: graphing, substitution, or linear combinations
*Number of solutions to systems
*Graphing solutions to systems of inequalities

*Solve a system of equations using graphs
*Solve a system of equations using substitution
*Solve a system of equations using linear combinations
*Identify the number of solutions to a system
*Graph the solutions to a system of inequalities
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus
 

Exponential Functions

·How do we model and understand exponential growth and decay?

*Properties of positive, negative and zero exponents
*Scientific Notation
*Exponential Growth Model
*Exponential Decay Model
 

*Simplify rational expressions that involve integer exponents
*Multiply and Divide monomial expressions
*Demonstrate the understanding and use of exponential growth and decay models in real life scenarios
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I Holt
Calculator: TI-84 Plus

Geometer's Sketchpad

Polynomials - Specifically Quadratics

·How do we model and understand vertical motion?

*Quadratic functions - solving, graphing, writing
*Square roots
*Quadratic formula
*Discriminant
*Factoring
*Vertical motion model
*Quadratic Inequalities
 

*Simplify radicals
*Classify polynomials
*Add and subtract polynomials
*Multiply polynomials
*Understand and use standard and vertex form of a quadratic equation
*Graph Quadratics through: finding vertex, intercepts, other points
*Write the axis of symmetry
*Find x-intercepts using the zero-product property and factoring
*Find x-intercepts using the quadratic formula
*Use the discriminant to determine the number of solutions of an equation or the number of intercepts of a graph
*Use the vertical motion model
*Graph quadratic inequalities

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus

Geometer's Sketchpad
 

Radicals

·How can we work with and model square root functions?

*Graphing Square Roots
*Operations with Radical Expressions
*Solving Radical Equations
*Completing the Square
*Pythagorean Thm and Converse
*Distance and Midpoint Formula
*Trigonometric Ratios

*Evaluate and create a graph of a square-root function
*Add, subtract, multiply and divide radical expressions
*Solve a radical equation
*Solve a quadratic equation by completing the square
*Use the Pythagorean Theorem and its converse
*Find the distance between two points in a coordinate plane
*Find the midpoint between two points in a coordinate plane
*Use the sine, cosine and tangent of an angle
 

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84 Plus

Geometer's Sketchpad
 

Rational Equations and Functions

·How can we work with and model rational functions?

*Ratio
*Proportions
*Percents
*Direct Variation
*Inverse Variation
*Operating with Rational Expressions
*Graphing Rational Functions

*Solve proportions
*Use equations to solve percent problems
*Use direct and inverse variation
*Simplify rational expressions
*Multiply and divide rational expressions
*Add and subtract rational expressions
*Divide polynomials using long division
*Solve rational equations

*Participation
*Homework
*Activities
*Quizzes
*Tests
 

Textbook: Algebra I, Holt
Calculator: TI-84Plus