Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition...

Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions...

Learners experiment to determine the composition of ocean water. In this ocean water composition lesson, students color in a grid that shows the percentage of each of the components of ocean water which include chloride, sodium, sulfate,...

First graders write a time book. For this writing and telling time lesson, 1st graders learn about the concept of time using a Judy clock. Students read a book about a ladybug and look closely at the time on the clock.  Students...

You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...

Students explain functions.  In this function lesson, students solve functions.  Groups of students develop strategies to perform operations with functions.  They write test questions using functions which include all...

Here is a great set of eight scenarios that require the writing of a one-variable inequality and then solving to find the solution. This inequality word problem activity is then followed by the solutions to each of the eight problems.

In this triangles activity, 10th graders solve and graph 8 different problems that include various transformations. First, they write a rule for the composition of a dilation of a scale factor. Then, students determine whether a graphed...

Here is an activity that presents a real-world problem about the relationship between crude oil production and the gas mileage of modern automobiles. After learners write functions to describe the relationships, they are asked to...

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.

Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...

Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...

Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...

Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.

Students write about a time when they were in a situation where nature frightened them. They write about how Brian solved the problem of how to start a fire in the story. Students complete a short research paper on one of the plants or...

Students create a quilt square for a class quilt using at least three, two-dimensional geometric figures. They research and write a brief description of at least two different quilt patterns that they find. Pupils discuss that quilts are...

Fourth graders chart and analyze baseline data pertaining to improving and maintaining fitness levels. Personal trainers calculate their clients' charts and write a one-page report on the findings for the evaluation portfolio of each...

Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...

Fourth graders complete multi-curricular activities for weather. In this weather lesson, 4th graders complete creative writing, research, and weather data analysis activities for the lesson.

In this atoms and sugar molecules worksheet, students are given the structural composition of the sugar molecule maltose. They determine the number of each type of atom in the molecule, they find the ratio of hydrogen to oxygen atoms and...

In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...

In this function worksheet, students sketch graphs of functions, write functions as a composition of two or three functions, and differentiate functions. This three-page worksheet contains approximately 33 problems.