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
Concave Mirrors
Study concave and convex mirrors with an in-depth slideshow presentation. Slides contain term definitions as well as labeled diagrams.
Exploratorium
Parabolas
A parabolic mirror toy demonstrates how concave mirrors objects reflect light and produce a realistic image at their focal point. This resource probably doesn't explain any more than the printed insert that accompanies such an apparatus...
Exploratorium
Cylindrical Mirror
Using flexible mirror-like paper, physical scientists experiment with images produced by curving it and looking into its reflective surface. They find that concave mirrors cause reflected light waves to cross and actually flip the image...
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,...
Curated OER
Spherical Mirrors
Some formatting issues will need repair (a few overlapping text boxes and pictures), but overall this is a comprehensive presentation on how light reflects off of spherical mirrors. Both convex and concave mirrors are explained,...
Exploratorium
Touch the Spring
Concave mirrors and the images they produce are traditional topics in the physics classroom. This resource explains how to set up an investigation of them, and it provides you with the explanation of concepts.
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!Â
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...
Exploratorium
Hot Spot
Not only does a concave mirror focus light waves, it can also concentrate infrared radiation into a hot spot. If you have a small electric heater and such a mirror, demonstrate this for your physical science class.
Curated OER
Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Jefferson Lab
Optics: Mirrors and Lenses
Did you see that or did I imagine it? Optical illusions are often created with mirrors and lenses, and here is a presentation that covers many different types of mirrors and lenses and how they work. Flat, concave, and convex mirrors, as...
Curated OER
Worksheet 13: Slope and Concavity
In this function worksheet, students determine the equation of a line, compute slope and concavity of a graph, and find the maximum volume of three-dimensional figures. This one-page worksheet contains six multi-step problems.
Curated OER
Typical Numeric Questions for Physics I - Light and Optics
Nineteen word problems dealing with frequency, speed, reflection, and refraction of light are provided here. Empower your physics masters to manipulate equations for computing angles, focal lengths, image heights, and more! This is a...
Curated OER
Typical Conceptual Questions for Physics I - Light and Quantum
This is a stellar overview of everything light and quantum! There are 30 multiple choice questions, none of them requiring any mathematical computation. There are a few diagrams to analyze: light rays striking reflective and refractive...
Curated OER
Concave and Complex 2-D Shapes
In this concave and complex 2-D shapes worksheet, students study, analyze and determine and circle which shapes out of 6 are concave pentagons.
Physics LAB
Spherical Mirror Equation #2
For this spherical mirror worksheet, learners are given diagrams of concave spherical mirrors, their focal points and an object. Students answer 10 questions about the location of the images, the size of the images and the height of the...
Physics LAB
Spherical Mirror: Equation #1
For this spherical mirrors worksheet, students answer 14 questions about convex and concave mirrors and the images formed in each. They determine if images are real or virtual, if they are upright or inverted, the focal length of the...
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
From F to F
For this derivatives worksheet, 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
Planning a Funhouse
In this mirrors worksheet, students will design and draw their creation of a "Crazy Mirror Room." They must use a combination of convex, concave, and plane mirrors and they must write a description of what a person's reflection would...
Michigan Technological University
Giant Mirrors
Did you know some retailers use curved mirrors in their fitting rooms to make customers look thinner? Pupils view themselves in convex and concave mirrors to understand the difference. The resource includes big ideas for multiple age...
It's About Time
Curved Mirrors
Discover concave and convex mirrors using a laser light. Scholars experiment with real and virtual images before reading a handout and completing homework questions. Included extensions greatly benefit learners, so take advantage of the...
Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives instructional activity, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems...
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