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...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations,...
EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Del Mar College
Algebra Assessment Review
Jam packed with problems, this advanced Algebra instructional activity focuses on topics such as domain, solving quadratics, solving rationals, and function notation.
EngageNY
Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A instructional activity has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
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...
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
In 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 learning exercise, learners determine if a relation is a function or not and find the functional value of a domain element. The two page learning exercise contains a combination of nine multiple choice...
Curated OER
Algebra II Test Chapter 3: Slope & Functions
In this slope and functions worksheet, 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 worksheet contains...
Curated OER
Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra instructional activity. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this instructional activity.
Curated OER
Relation, Function, Domain, & Range
In this relation, function, domain, and range worksheet, high schoolers answer 6 open-ended questions about relations and functions. Students determine the domain and range of a function. High schoolers give examples and...
Curated OER
Graphing Quadratic Functions
In this math worksheet, young scholars 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
Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
Curated OER
Quadratic Functions and Stopping Distance
Students solve quadratic equations. In this algebra activity, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
Curated OER
Zeros of a Quadratic Function
Factor quadratic equations by teaching your students how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
Curated OER
Up, Down, Right, Left - Function Families
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
Curated OER
Linear Inequalities in One and Two Variables: Rays and Half Planes
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Flipped Math
Calculus AB/BC - Determining Limits Using Algebraic Properties
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson allows for the discussion of independent and dependent variables, as...