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Resource ID: A2M3L3
Grade Range: 9–12
Subject: Math

Transformations of Square Root and Rational Functions

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

Resource ID: A2M3L4
Grade Range: 9–12
Subject: Math

Transformations of Exponential and Logarithmic Functions

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

Resource ID: A2M6L2A
Grade Range: 9–12
Subject: Math

Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

Resource ID: A2M7L0
Grade Range: 9–12
Subject: Math

Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

Resource ID: A2M1L4
Grade Range: 9–12
Subject: Math

Domain and Range: Verbal Description

The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.

Resource ID: A2M1L7
Grade Range: 9–12
Subject: Math

Modeling Data with Linear Functions

Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.

Resource ID: A2M2L2
Grade Range: 9–12
Subject: Math

Formulating Systems of Inequalities

Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.

Resource ID: A2M2L5a
Grade Range: 9–12
Subject: Math

Solving Systems of Equations Using Substitution

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.

Resource ID: A2M2L5b
Grade Range: 9–12
Subject: Math

Solving Systems of Equations Using Elimination

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.

Resource ID: A2M2L6
Grade Range: 9–12
Subject: Math

Solving Systems of Equations with Three Variables

Given a system of three linear equations, the student will solve the system with a unique solution.

Resource ID: A2M2L8
Grade Range: 9–12
Subject: Math

Solving Systems of Equations Using Matrices

Given a system of up to three linear equations, the student will solve the system using matrices with technology.

Resource ID: A2M3L6
Grade Range: 9–12
Subject: Math

Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

Resource ID: A2M1L3
Grade Range: 9–12
Subject: Math

Domain and Range: Function Notation

Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

Resource ID: A2M1L2
Grade Range: 9–12
Subject: Math

Domain and Range: Graphs

Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

Resource ID: A2M1L5
Grade Range: 9–12
Subject: Math

Domain and Range: Contextual Situations

The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.

Resource ID: A2M3L8
Grade Range: 9–12
Subject: Math

Functions and their Inverses

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

Resource ID: A2M1L1
Grade Range: 9–12
Subject: Math

Domain and Range: Numerical Representations

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

Resource ID: TXLS198
Grade Range: 10
Subject: Math

Square Root Regression

This lesson is a student discovery lesson that culminates in square root regression with technology. Students will use their study of inverses, the relationship between quadratic and square root functions, their previous knowledge of regression, and determine how to find the square root regression of real-world data.

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