Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
EngageNY
Graphing the Sine and Cosine Functions
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
West Contra Costa Unified School District
Shifting Linear Equations in Function Notation
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
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 quadratic...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Curated OER
Graphing Polynomial Functions
For this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Curated OER
Optimization
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Curated OER
The Ares-V Cargo Rocket
In this Ares-V cargo rocket worksheet, students read about this multi-purpose launch vehicle and its rocket boosters. Students are given an equation that relates the acceleration of the rocket to the time and mass of the rocket. They...
Curated OER
Periodic Functions
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
Curated OER
Critical Points
High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
Curated OER
Alkanes and Conformation
In this alkanes and conformation worksheet, students name 10 different alkanes, they write the structural formulas for 4 alkanes, and they write Newman projections for 2-methylbutane. They also write structure of stable conformations for...
Curated OER
Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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
Multivariable Optimization
In this multivariable optimization instructional activity, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions....
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
Building Storm Shelters
Sixth graders explore area and perimeter. In this online interactive area and perimeter lesson, 6th graders investigate why the perimeter of rectangles can vary considerably even when the area is held constant. Students construct...
Curated OER
Round and Round and Round We Go!
Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.
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