West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
Complex Analysis: Complex Functions
In this complex function instructional activity, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page instructional activity contains...
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
Penn Museum
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive learning exercise set, your young historians will then learn...
Curated OER
Body Verbs Vocabulary Exercise
In this vocabulary skills activity, students respond to 12 multiple choice questions regarding groups of verbs that pertain to bodily functions. Students also define 10 body verbs.
Curated OER
Supplemental Trig Problems
In this supplemental trigonometry worksheet, students determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
Curated OER
Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Curated OER
The National Legislature: ch 10
Answering comprehension questions during or after reading an informational text can help focus the reader's attention. Here are 5 True/False and 5 multiple choice questions related to the Congress, bicameralism, and basic governmental...
Curated OER
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Curated OER
The Limiting Behavior of Selected Functions
In this limiting behavior of equations worksheet, learners use the Klien and Nishima formula to find the limit for large X which is the ratio of energy carried by a photon compared to the rest mass energy of an electron.
Curated OER
Resistors
In this resistors worksheet, students answer 11 questions about resistors, their functions, symbols used to represent them, and they calculate resistance values.
Curated OER
Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
Curated OER
Exponential Population Growth
In this exponential population growth worksheet, students read word problems and determine the exponential growth of a specified populations. They find the percent of growth and compute exponential regressions. Students graph...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Curated OER
Properties of a Good Graph
In this chemistry worksheet, learners examine the common characteristics of an acceptable graph that is meant to be used to display data.
Curated OER
Parts of a Cell
Simplify the parts of a cell with this handout and brief activity. Learners read a two-page explanation of the parts of a cell that includes bolded vocabulary words. Using what they have just read, class members answer 19...
Curated OER
Digital Logic Signals
In this electronics activity, students interpret schematic diagrams and analyze circuit components to answer 9 short answer and problem solving questions.
Curated OER
Passive Filter Circuits
In this circuits worksheet, students answer 44 questions about audio tone control circuits, twin-tee filter circuits, and other types of passive filter circuits, their impedance and their design.
Curated OER
Design Project: Audio Tone Control
In this electrical circuit worksheet, students answer a series of 4 open-ended questions with schematics about audio control in stereos. This worksheet can be printed and the answers are available on-line.
Curated OER
Inheritance Patterns in Zorks
In this inheritance patterns worksheet, high schoolers create a visual of a Zork using chromosome strips to represent alleles from the father and the mother to determine the traits in the offspring. Students translate the genotype to the...