Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Curated OER
Bubble and Boyle
Even middle schoolers still enjoy experimenting with bubbles! They execute a series of experiments enabling them to distinguish between convex and concave surfaces, explore the properties of buoyancy, surface tension, and density,...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Flipped Math
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
Flipped Math
Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
CK-12 Foundation
Contact Lens
How do contact lenses work? The simulation allows young scientists to explore focal length and lens type to see how and why contact lenses work. Pupils control the focal length for an eye and a lens, the type of lens, and the distance...
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Curated OER
Light
All aspects of the path of light are included in a great summary. Internal reflection and the angles of paths in different materials are explained and the behavior of visible light through lenses and the effect on focal points are...
Curated OER
Reflection and Mirrors
In this reflection worksheet, students will review the law of reflection and label a diagram with its angle of incidence and angle of reflection. Then students will compare different mirror surfaces as convex or concave. This worksheet...
Curated OER
Bubble and Boyle
Middle-schoolers still enjoy playing with bubbles! In this series of eight laboratory activities, science learners explore convex and concave surfaces, angles, gas laws, buoyancy, density and more!
Curated OER
Analyze This Function
In this derivatives worksheet, students solve 11 short answer and graphing problems. Kids find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the quotient...
Curated OER
From F to F
In this derivatives instructional activity, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
Curated OER
Polygons Homework
In this polygons learning exercise, students identify polygons that contain given parameters. They write definitions of polygons. Students find the measurement of exterior and interior angles of regular polygons. This two-page...
Curated OER
Comparison of Images Formed by Plane, Cylindrical and Spherical Mirrors
Middle schoolers experiment with differently shaped mirrors. In this reflection and optics lesson, students investigate the visual effects of reflected images in mirrors. They use plane, cylindrical, and concave mirrors for the activity.
Curated OER
Light and Optics
Third graders utilize the scientific method to explain light and optics in this five lessons unit. Through experimentation and discussion, 3rd graders canvass the concepts of light traveling, reflection and refraction.
Curated OER
Math Vocabulary
In this math vocabulary worksheet, students read clues and rearrange given letters to identify the described vocabulary word. This one-page worksheet contains 8 problems. Answers are provided.
Curated OER
Spherical Mirrors
Students view images in a spherical mirror and interpret the path of light. In this physics instructional activity, students view a large spherical mirror demonstrated by the instructor. They use shiny serving spoons to investigate the...
Curated OER
Intervals
In this intervals worksheet, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all inflection...