Curriculum

K12 Curriculum
 Elementary Curriculum (K5)
 Middle School Curriculum (68)

High School Curriculum (912)
 Art
 Business

Engineering
 Precision Machining Technology
 Woodworking & Carpentry
 Introduction to Engineering Design (PLTW)
 Principles of Engineering (PLTW)
 Aerospace Engineering (PLTW)
 Civil Engineering & Architecture (PLTW)
 AP Computer Science Principles (PLTW)
 Digital Electronics (PLTW)
 Environmental Sustainability (PLTW)
 Engineering Design & Development (PLTW)
 English
 Family & Consumer Science (FACS)
 Health
 Journalism
 Library Media
 Math
 Performing Arts
 Physical Education

Social Studies
 World HistoryGeography 1450Present
 US History
 American Government through Comparative Perspectives
 Economics
 Psychology
 Contemporary Issues & ProjectBased Historical Inquiry
 Sociology
 The Black Experience in America
 AP US History
 AP US Government & Politics
 AP Psychology
 AP World History: Modern
 AP Human Geography
 Science

World Language
 Chinese I
 Chinese II
 Chinese III/Honors
 Chinese IV/Honors
 French I
 French II
 French III/Honors
 French IV/Honors
 AP French Language and Culture
 German I
 German II
 German III/Honors
 German IV/Honors
 AP German Language and Culture
 Spanish I
 Spanish II
 Spanish III/Honors
 Spanish IV/Honors
 AP Spanish Language and Culture

Course Description
Algebra I provides a bridge from the study of patterns and relationships in previous grades to the study of functions, algebraic relationships, and the development of advanced mathematical reasoning skills. This course will help prepare today’s students for tomorrow’s world by involving students in exploring and discovering math concepts, connecting algebra to the real world and to other subjects, and by integrating technology as a problemsolving tool.
Grade Level(s): 812th, Duration 1 Year
Related Priority Standards (State &/or National): K12 Mathematics Missouri Learning Standards
Essential Questions
 What is the purpose of developing an expression?
 How do you use equations and inequalities to communicate your ideas and solve problems?
 How can writing equations and inequalities make solving realworld problems more efficient?
 How can you represent and describe functions?
 What do the features of the graph reveal about the problem situation?
 How can we model two variable data and use models to make predictions?
 What is the meaning of a solution to a system of linear equations in the context of the problem?
 How is the solution to the system represented algebraically and graphically?
 How can given data representations be interpreted?
Enduring Understandings/Big Ideas
 Students will understand that expressions are powerful tools for exploring reasoning about and representing situations.
 Students will understand that symbols, such as numbers and variables, can be used and can be manipulated using different processes and operations to represent reallife quantities and their relationships.
 Students will understand that equations are dynamic tools for problem solving, communicating, and expressing ideas and concepts.
 Students will understand that equations and inequalities are used to understand how quantities are related.
 Students will understand that functions can be represented in multiple ways.
 Students will understand that functions show the relationships between variables.
 Students will understand that a system of equations may not have only one solution.
 Students will understand that systems can be solved using a graph, table, or equations. On some occasions and in some contexts one solution method may be more efficient or informative than another.
 Students will understand that visual displays of categorical and quantitative data should be examined to identify general shape, center, and spread.
CourseLevel Scope & Sequence (Units &/or Skills)
Unit 1: Expressions
Students will be able to
 Identify the parts of an expression such as terms, factors, coefficients
 Explain the meaning of the parts of an expression within the context of a problem
 Choose the appropriate units for a specific formula and interpret the meaning of the unit in that context.
 Add or multiply two rational numbers
 Use ratios and rates as a way to understand problems and to guide the solution to multistep problems
 Convert units and rates.
Unit 2: Equations and Inequalities
Students will be able to
 Create their own equation or inequality to represent and solve a unique realworld situation
 Graph solutions for unique real world situations
 Solve linear equations and inequalities
 Justify each step of solving an equation
 Construct a viable argument to justify a solution to an equation
 Construct a viable argument to justify a solution to inequality
 Check solutions for appropriateness
Unit 3: Introduction to Functions
Students will be able to
 Identify the domain and range of a function
 Identify whether a relation is a function
 Relate the practical domain of a function with its realworld meaning
 Graph equations that represent functions
 Identify the patterns that describe linear and nonlinear functions
 Relate the domain of a function to its graph
Unit 4: Linear Functions
Students will be able to
 Identify key features in graphs and tables of linear functions.
 Relate the domain of a function with its realworld meaning of linear functions
 Calculate the rate of change or slope of a linear function using ordered pairs, tables of values and graphs
 Graph a linear function from an equation or table
 Compare the key features of linear functions
 Create a linear equation to represent the relationship between two quantities
 Create a linear function that models our given data
 Create an equation when given a transformation(s) from a parent function (y=x2)
 Summarize the transformation from a parent function (y=x2)
 Identify the effect of vertical translations of linear functions
 Solve a function for the dependent variable and write the inverse of a function by interchanging the values of the dependent
and independent variable  Describe whether the realworld situation has a linear pattern of change
 Explain that linear functions change at the same rate over time
 Use technology to model and compare linear functions
 Construct linear functions, including arithmetic sequences, given a graph , a description of a relationship, or two input  output pairs
 Asses the fit of a function by plotting and analyzing residuals
 Create a scatter plot from two quantitative variables
 Create and analyze a residual plot to determine whether the function is an appropriate fit
 Create and use a model of best fit to solve problems
 Describe how the independent and dependent variables are related
 Fit a function to data and use that function to solve problems
 Identify linear functions based on graphs and tables
 Interpret the parameters in a linear function
 Describe the correlation using the correlation coefficient.
Unit 5: Absolute Value Functions
Students will be able to
 Explain the meaning of the parts of an absolute value expression
 Justify each step of solving an absolute value equation
 Identify key features in graphs and tables of absolute value functions
 Graph a function from an equation or table
 Compare and contrast absolute value functions with linear functions
 Classify the equation's absolute value and determine the number of solutions
 Write an absolute value equation from a graph
 Describe how changing parameters affect the graph of an absolute value function.
Unit 6: Systems of Linear Equations and Inequalities
Students will be able to
 Identify solutions to a system of linear inequalities in two variables using technology
 Solve systems of equations graphically
 Solve systems of equations using substitution and elimination
 Justify using a solution method for solving a system of linear equations or inequalities
 Write and use a system of equations and/or inequalities to solve a real world problem
 Find the constraints of the problem that uses equations or inequalities
 Graph the solutions to a linear inequality in two variables using technology
 Explain in the context of a real world problem why a solution may have no, one or infinite solutions.
Unit 7: Statistics and Probability
Students will be able to
 Calculate the basic probability of an event
 Calculate & interpret the joint probability of two events occurring in sequence
 Calculate & interpret conditional probability
Unit 8: Exponential Functions
Students will be able to
 Describe the pattern in geometric sequences
 Represent geometric sequences both recursively and with an explicit formula
 Distinguish between situations that can be modeled with exponential and linear functions
 Construct exponential functions including geometric sequences, given a graph, a description of a relationship, or ordered pairs
 Identify exponential functions based on graphs and tables
 Interpret exponential functions that arise in applications
 Sketch and describe exponential functions showing the key features
 Translate exponential functions with a focus on vertical translations
 Interpret the parameters of an exponential function in terms of context
 Connect geometric sequences to exponential functions
 Compare the key features of linear and exponential functions
 Graph an exponential function from an equation or table
 Write and use recursive formulas for geometric sequences
 Model exponential growth and decay
 Interpret exponential functions that arise in applications
 Graph exponential functions using translations
 Interpret parameter changes in applications.
Unit 9: Polynomials
Students will be able to
 Multiply polynomials
 Name polynomials using number of terms and degrees.
 Add and subtract polynomials
 Factor polynomials using the greatest common factor
Unit 10: Quadratic Functions
Students will be able to
 Identify patterns in quadratic rate of change
 Model quadratic functions using technology
 Apply transformations to quadratic functions
 Determine if situations are modeled by quadratic functions
 Analyze quadratic functions using multiple representations
 Graph quadratic functions
 Solve quadratic functions using graphs, tables of values, square roots, completing the square, factoring, and quadratic formula
 Determine intercepts; intervals where the function is increasing, decreasing, positive, or negative, relative maxima and minima, and symmetries for quadratic functions
 Determine the practical domain for quadratic functions
 Compare quadratic functions to linear and exponential functions
 Factor and complete the square in a quadratic function to show zeros, extreme values and symmetry of the graph, and interpret these in terms of a context.
 Describe how the coefficients a, b, and c effect the graph of a quadratic function
 Compare quadratic growth to linear and exponential growth
 Create quadratic equations using one variable and two variables and use them in a contextual situation to solve problems
 Transform quadratic equations written in standard form to vertex form
 Derive the quadratic formula by completing the square
 Create an equation when given a transformation(s) from a parent function (y=x2)
 Identify the effect of the coefficients, a, b, and c, on a quadratic functions.
 Summarize the transformation from a parent function (y=x2)
 Translate quadratic graphs vertically, horizontally, and by a scale factor
 Use the parent graph (y=x2) of a quadratic function to translate the graph
 Design a realworld situation that can be modeled by a given function
 Identify key features in graphs and tables including: intercepts; intervals where the functions is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior
 Relate the practical domain of a function with its realworld meaning
 Graph simple quadratic functions using a table and more complex quadratic functions using technology
 Analyze the intercepts and vertex of quadratic functions
 Compare and contrast two quadratic functions each expressed in a different forms (standard and vertex)
 Justify that exponential functions increase more rapidly than linear and quadratic functions
 Sketch a graph showing the key features of a quadratic equation from a description of the relationship
 Identify a nonconstant rate of change in a quadratic function
 Create dot plots, histograms and box plots
 Compare the shape of two or more data sets, measures of center and spread
 Analyze the effect of outliers on a data set including shape, measures of center and spread
 Create a quadratic function that models given data
 Transform a quadratic equation written in standard form to an equation in vertex form (x  p)2 = q by completing the square
 Derive the quadratic formula by completing the square on the standard form of a quadratic equation
 Solve quadratic equations in one variable by simple inspection, taking the square root, factoring, and completing the square
 Understand why taking the square root of both sides of an equation yields two solutions
 Students should solve by factoring, completing the square, and using the quadratic formula
 Solve quadratic equations by inspection, factoring, taking the square root, completing the square, and by using the quadratic formula
 Relate the practical domain of a function with its realworld meaning
Unit 11: Modeling with Nonlinear Functions (Piecewise, Radical, Inverse)
 Students will be able to
 Solve systems with technology that include exponential functions and linear functions
 Summarize the transformation from a parent function (y=x2)
 Define an inverse function
 Solve a function for the dependent variable and write the inverse of a function by interchanging the values of the dependent and independent variable
 Solve and graph an inverse function
 Compare and contrast absolute value, step and piecewisedefined functions with linear and exponential functions
 Graph a function from an equation or a table
 Write an equation when given a transformation of a parent function.
Course Resources & Materials: District and teachermade materials
Date Last Revised/Approved: 2013