Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
Curated OER
Functions
In this algebra worksheet, learners look at 4 sets of relations and determine if they are functions. Students are provided with the graphs of three functions and determine the function value. Two relations are graphed on the coordinate...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
EngageNY
Which Real Number Functions Define a Linear Transformation?
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Del Mar College
Algebra Assessment Review
Jam packed with problems, this advanced Algebra activity focuses on topics such as domain, solving quadratics, solving rationals, and function notation.
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
Curated OER
Functions Operations
In this algebra worksheet, students identify and solve functions by rewriting and plugging in numbers into an equation. They multiply, subtract, add and divide functions. There are 30 questions with an answer key.
Curated OER
High School Examination: Algebra 2/Trigonometry
For this high school worksheet, students solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems.
Curated OER
Relations and Functions
In this Algebra I/Algebra II worksheet, students determine if a relation is a function or not and find the functional value of a domain element. The two page worksheet contains a combination of nine multiple choice and free response...
Curated OER
Algebra II Test Chapter 3: Slope & Functions
In this slope and functions instructional activity, students determine the slope of a line. They identify functions and determine an equation of a line that is parallel or perpendicular to given points. This three-page instructional...
Curated OER
Relation, Function, Domain, & Range
In this relation, function, domain, and range worksheet, students answer 6 open-ended questions about relations and functions. Students determine the domain and range of a function. Students give examples and non-examples of functions.
Curated OER
Graphing Quadratic Functions
In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.
Curated OER
Graphing Polynomial Functions
In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Curated OER
Algebra 2 Test
In this algebra learning exercise, 11th graders test their knowledge of functions and slopes. They solve equations and identify functions, find the inverse and find the equation of parallel and perpendicular lines. There are 21 questions.
Curated OER
Evaluating Functions
For this solving functions worksheet, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
Curated OER
Functions and Relations
For this functions and relations worksheet, 11th graders solve and complete 15 various types of problems. First, they find the slope and y-intercept for each function given. Then, students find the slope of the line passing through the...
Illustrative Mathematics
Temperature in Degrees Fahrenheit and Celsius
Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Algebra Nomograph
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values. Students use a nomograph on their Ti-Nspire to determine the function rule. Students make a scatter plot of...