CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
CK-12 Foundation
Inverses by Mapping: Inverse Functions
Map your way to successfully understanding inverse functions. Pupils use an interactive map to investigate how changes in the graph of a function affect the graph of its inverse. The results of the activity lead to the conclusion that...
CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
EngageNY
Graphing the Tangent Function
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
EngageNY
The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
CK-12 Foundation
Quadratic Functions and Equations
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
EngageNY
Structure in Graphs of Polynomial Functions
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
Curated OER
Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Curated OER
Drill - Simple Present and Present Continuous
In this grammar worksheet, students rewrite twenty sentences and change the verb tense in each one from simple present to present continuous or visa versa.
Curated OER
ESL Pre-Intermediate Going to and Present Continuous Verb Tense
For this going to and present continuous verb tense worksheet, students answer 7 question about what they are going to do. They tell what they are going to do after the lesson, tonight, this weekend, for Christmas, and next summer.
PBL Pathways
Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
British Council
Letters Home
When you're writing historical fiction, the past really can become the present — especially if you're writing in the present continuous tense! Cover World War I, verb tenses, censorship, and letter writing with one informative...
Curated OER
Connecting Dots
In this connecting dots worksheet, learners solve a word problem involving connecting dots using a continuous line. Students complete 1 complicated higher order thinking problem.
Curated OER
Present Simple or Present Continuous?
In this online/interactive verbs worksheet, students read and complete sentences with the correct forms of present simple or present continuous verbs. Students fill in 11 blanks.
Curated OER
Limits and Continuity
In this calculus worksheet, learners work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
Curated OER
Troubling Tenses--Past Simple vs. Present Continuous 1
In this language arts worksheet, students explore the past simple and present continuous verb tenses by completing 15 sentences with the word "tomorrow" or "yesterday."
Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Curated OER
Verb Tense: Present Continuous, Simple Past, Present Perfect Continuous and Past Perfect Continuous
In this verb tense instructional activity, student use the verb given and enter it in the proper tense so it agrees with the rest of the sentence, with hints and answers available.
Curated OER
Present Continuous: Negatives
In this online interactive grammar skills worksheet, learners answer 7 short answer questions that require them to make 7 sentences negative. Students may submit their answers to be scored.
CK-12 Foundation
Identify Functions and the Vertical Line Test: The Vertical Line Test
There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.