CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 1
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
CK-12 Foundation
Function Rules for Input-Output Tables: Whats My Rule?
What's the rule that makes it true? A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...
CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
CK-12 Foundation
Function Rules for Input-Output Tables: Function Machine 2
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
CK-12 Foundation
Exponential Decay: Cool Sunglasses
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
CK-12 Foundation
Multiplication of Monomials by Polynomials: Distributing the Monomial
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
Curated OER
Grade 3 Basic Math 1
For this grade 3 math worksheet, 3rd graders answer a set of 20 multiple choice questions covering a variety of grade 3 concepts. Answers may be submitted online.
Curated OER
Grade 3 Math-Advanced 1
In this grade 3 math worksheet, 3rd graders answer a set of 21 multiple choice "advanced" questions covering a variety of grade 3 concepts. Answers may be submitted online.
Curated OER
Moving Straight Ahead
In this functions worksheet, 9th graders solve and complete 24 various types of problems. First, they complete the table with the correct distance for each hour given. Then, students enter the coordinate pairs into the function table...
Shodor Education Foundation
Sequencer
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...
Curated OER
Food Web Relationships
In this food web worksheet, students create a food web matrix and answer short answer questions about the food chain according to the matrix. Students complete 7 short answer questions.
Concord Consortium
Seeing Math: Quadratic Transformer
The Quadratic Transformer was developed to support the learning of quadratic functions, and in particular to help you understand the connections between symbolic and graphic representations. Indirectly, it also helps you connect either...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Trig Tour
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Annenberg Foundation
Annenberg Learner: Thinking About Slopes: Part B
Control the slope of lines passing through the origin (0, 0). Keep track of what changes when the slope becomes positive or negative, and when slope is larger or smaller than 1.
Annenberg Foundation
Annenberg Learner: Thinking About Slope
Explore the concept of slope. Ask yourself why the slope between pairs of points would change or why it would stay the same.