College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
Flipped Math
Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
Flipped Math
Unit 2 Review: Polynomial Functions
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
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...
Flipped Math
Unit 8 Review: Functions
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Radford University
Linear Programming: Sports Shoes
Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...
Flipped Math
Intro to Quadratics
Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...
Flipped Math
Modeling with Quadratics
Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...
Curated OER
Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
Curated OER
Reading and Interpreting Graphs Worksheet
For this bar graphs worksheet, students read and interpret a bar graph on SAT scores by answering short answer questions. Students complete 7 questions total.
Curated OER
Maximum and Minimum Word Problems
In this maximum and minimum worksheet, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be a maximum....
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data instructional activity, students use quadratic functions to model data using three different methods. This instructional activity provides explanations and an example. Additionally, students are given the steps to...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Curated OER
Froot Loop to the Max - Ordered pairs
In this Froot Loop to the Max worksheet, students complete 21 different sets of ordered pairs. They plot each of the ordered pairs listed on the sheet, connecting them in order from #1 through #21. Then, students determine whether it is...
Curated OER
Solving Quadratic Equations by Graphing
In this quadratic equation worksheet, learners solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
Curated OER
Graphing Quadratic Equations with a Coefficient of One
This is a teacher page for a instructional activity and does not include any materials to support the instructional activity. Young scholars graph quadratic equations with a coefficient of one and create a table of values to graph a...
Curated OER
Graphical Analysis
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Explore Learning
Quadratics: Polynomial Form
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate...
Curated OER
How Much Folate?
This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Fall River Schools
Parabolas Are All Around Us
Moving parabolas off of graph paper and into the real world is the task at hand in this detailed poster project. First, learners perform a cumulative activity identifying many characteristics of an assigned quadratic equation. Next, they...