EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Curated OER
Relations and Functions
In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
Curated OER
Interpolating Function
In this interpolating function learning exercise, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms....
Curated OER
Polynomial Functions
In this polynomial functions worksheet, 11th graders solve and complete 8 different problems that include various polynomial functions. First, they define a polynomial function. Then, students write the polynomial part in standard form...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Curated OER
Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Present Continuous
In this present continuous worksheet, students write numbers next to sentences and determine if a verb can be used in the present continuous tense. Students complete 60 problems total.
Curated OER
Relations and Functions
High schoolers differentiate between a relation and a function. For this algebra lesson, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.
Curated OER
Functions
In this functions learning exercise, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students...
Curated OER
Worksheet 4, Functions
Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...
Curated OER
The Integration of Exponential Functions
In this calculus learning exercise, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data learning exercise, students use quadratic functions to model data using three different methods. This learning exercise provides explanations and an example. Additionally, students are given the steps to find the...
Curated OER
Worksheet 12 - Differentiable Functions
In this differentiable function worksheet, students identify differentiable functions and calculate the derivative of a function. This two-page worksheet contains eight multi-step problems.
EngageNY
Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of graph...
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Flipped Math
Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and Constant Multiple
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
Curated OER
Equal Factors Over Equal Intervals
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Curated OER
Worksheet 4: Graphs and One-Sided Limits
In this math worksheet, young scholars answer 6 questions regarding functions, graphs, one-sided limits, intercepts, vehicle speed and wheel rotation.
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
Curated OER
Explorations 5: Introduction to Limits
In this limit activity, learners find the interval values of given functions. They identify constants, and plot graphs. This three-page activity contains approximately 20 problems.
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...