Standards
M1.1.A: Select and justify functions and equations to model and solve problems.
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line
M1.1.B: Solve problems that can be represented by linear functions, equations, and inequalities.
Compound Interest
Linear Inequalities in Two Variables
Solving Equations by Graphing Each Side
M1.1.C: Solve problems that can be represented by a system of two linear equations or inequalities.
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
M1.1.D: Solve problems that can be represented by exponential functions and equations.
Compound Interest
Exponential Functions
Introduction to Exponential Functions
M1.2.A: Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.
M1.2.B: Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.
Function Machines 1 (Functions and Tables)
Linear Functions
M1.2.D: Plot points, sketch, and describe the graphs of functions of the form f(x) = a/x + b.
General Form of a Rational Function
Rational Functions
M1.3.A: Write and solve linear equations and inequalities in one variable.
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)
M1.3.B: Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent.
Absolute Value with Linear Functions
Slope-Intercept Form of a Line
Translating and Scaling Functions
M1.3.C: Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines.
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line
M1.3.D: Write and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.
Linear Inequalities in Two Variables
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
Standard Form of a Line
M1.3.E: Write and solve systems of two linear equations and inequalities in two variables.
Linear Programming
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)
M1.3.F: Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.
M1.3.G: Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
M1.3.H: Determine the equation of a line in the coordinate plane that is described geometrically, including a line through two given points, a line through a given point parallel to a given line, and a line through a given point perpendicular to a given line.
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
M1.4.F: Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal.
M1.4.G: Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines.
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
M1.5.C: Make valid inferences and draw conclusions based on data.
Box-and-Whisker Plots
Polling: City
M1.6.A: Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.
Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values
M1.6.C: Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.
Solving Algebraic Equations I
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
M1.6.D: Solve an equation involving several variables by expressing one variable in terms of the others.
Solving Formulas for any Variable
M1.7.A: Sketch the graph for an exponential function of the form y = ab to the n power where n is an integer, describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise in situations modeled by exponential functions.
M1.7.C: Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions.
M1.7.D: Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the sequence.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Correlation last revised: 1/20/2017