Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 10th
Young scholars solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Worksheet
Curated OER

Function Families

For Students 8th - 12th
In this function families activity, students graph 6 families of absolute value equations on a graphing calculator and transfer a sketch to graph paper. Students then answer 8 questions to identify the vertex.
Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page worksheet contains explanation of topic,...
Worksheet
Curated OER

The Derivative As a Function

For Students Higher Ed
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
Lesson Plan
Curated OER

Graphing Linear Functions - Review

For Teachers 9th - 10th
Students graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon...
Worksheet
Curated OER

Graphing Linear Functions Three

For Students 9th - 10th
For this algebra worksheet, students are given an equation and asked to create a table of values and graph their equation. The other method they use for graphing is the slope intercept method, by solving the equation for y and...
Lesson Plan
Curated OER

Rational Functions

For Teachers 10th - 12th
In this algebra worksheet, students solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
Lesson Plan
Curated OER

Eighty-Six Various Polynomial Function Problems

For Teachers 11th - Higher Ed
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
Worksheet
Curated OER

Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, learners solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.
Lesson Plan
Curated OER

Exploring Multiplication Functions

For Teachers 4th
Fourth graders investigate the terms "factor" and "product." In this mathematics lesson plan, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
Worksheet
Curated OER

Algebra 1 Unit 8 Review

For Students 9th - 12th
In this math worksheet, students practice the techniques associated with algebra 1. This 5-page worksheet has many different types of problems for the students to solve.
Worksheet
Curated OER

Algebra 1 Unit 5 Review

For Students 6th - 7th
In this problem solving learning exercise, students simplify 2 math expressions, evaluate 1 expression and convert to fractions as instructed. Students find the first 3 terms of one equation, complete 2 graph functions and answer 1 word...
Lesson Plan
Curated OER

Pedal Power

For Teachers 8th - 10th
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Lesson Plan
Curated OER

Count on Me

For Teachers 4th
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Worksheet
Curated OER

The Algebra of Summation Notation

For Students 9th - 11th
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Lesson Plan
Curated OER

Investigation-How Many Toothpicks?

For Teachers 7th
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Lesson Plan
Curated OER

Using Parallel Axes To Discover Mathematical Interconnections

For Teachers 6th - 8th
In this math worksheet, middle schoolers graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
PPT
Curated OER

Jeopardy

For Teachers 6th - 8th
An unusually challenging Jeopardy-style game is here for your charges. All sorts of high-level algebraic terminology, concepts, and problem solving are embedded in the game. There is even a Final Jeopardy clue. I have found these...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...