Curated OER
Comparing Exponential and Power Functions
Students compare and contrast exponential and power functions. In this precalculus instructional activity, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of...
Curated OER
Rational Functions
Students evaluate rational functions. In this precalculus instructional activity, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the...
Curated OER
The Function Box
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
Curated OER
The Function Machine
Fourth graders solve division problems by practicing on function machine.
Curated OER
Properties of Logarithmic Functions
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Curated OER
Exploring Multiplication Functions
Fourth graders investigate the terms "factor" and "product." In this mathematics lesson, 4th graders practice solving problems to find the products and factors present in different algebraic expressions.
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Young scholars analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Curated OER
Building Understanding of Rate of Change/Slopes Using Alice
Students explore slope as a rate of change. In this eighth grade mathematics activity, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Curated OER
Identify and Graph Linear Equations
Young scholars investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Institute of Electrical and Electronics Engineers
Coloring Discrete Structures
What's the least number of colors needed to color a U.S. map? The instructional activity begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox....
EngageNY
Waves, Sinusoids, and Identities
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Teach Engineering
Android Acceleration
Prepare to accelerate your Android. Pupils prep for the upcoming activity in this third installment of a four-part series. The lesson plan progresses nicely by first introducing different types of acceleration to the class. The teacher...
Curated OER
Patterns, Relations And Functions
Fourth graders observe patterns and determine a mathematical function that creates the pattern. Through a demonstration by the teacher, they observe strategies such as multiplication, division, addition, and subtraction to use when...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
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.
EngageNY
Modeling Riverbeds with Polynomials (part 2)
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.
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
EngageNY
Integer Exponents
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...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous activity, the second activity in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...