Curated OER
Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
Curated OER
Worksheet #5, Concavity,
For this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
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
Light and Geometric Optics
It's time to see the light with a unit that focuses on light and geometric optics, including concave and convex mirrors. A variety of experiments, worksheets, and online activities are included.
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...
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 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 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 - 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 - 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 - 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...
Curated OER
Properties and Attributes of Polygons
For this geometry worksheet, 10th graders determine if a polygon is convex or concave and apply the polygon Angle sum theorem and the polygon exterior angle sum theorem to determine the measures of interior and exterior angles of a...
Mr. E. Science
Light
Where does bad light end up? In a prism! The presentation covers light, mirrors, lenses, and the structure of the eye. It also provides explanations of reflection, refraction, concave and convex mirrors and lenses, and a comparison of...
Curated OER
Physics 152 Fall 2004 Final Exam, Parts A, B, C, D
At the end of a general physics course focused on light and electricity, you can administer this exam. Concepts covered include electromagnetism, circuits, induction, light rays, lenses and mirrors, characteristics of light, electron...
Curated OER
Inflection Points
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
Curated OER
Spherical Mirrors
Young scholars view images in a spherical mirror and interpret the path of light. In this physics lesson, students view a large spherical mirror demonstrated by the instructor. They use shiny serving spoons to investigate the path of...
Physics Classroom
The L.O.S.T. Art of Image Description - Curved Mirrors
We see curved mirrors every day in spoons, rear-view mirrors, stores as a safety measure, make-up mirrors, and in novelty stores. Scholars explore the changes to an image based on the curve of the mirror, the location of the image, and...
Curated OER
Worksheet 6: Derivative & Slope
In this derivative and slope activity, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page activity contains seven multi-step problems.
CK-12 Foundation
Cassegrain Telescope
How does a telescope magnify images? Learners first watch a tutorial explaining the basic construction of a telescope. Then they interact with a simulation that allows for changes in the location and diameter of the reflecting mirrors....
Curated OER
Comparison of Images Formed by Plane, Cylindrical (concave side), and Spherical (concave side) Mirrors
Young scholars study mirrors and see how images can be reversed. For this reflection lesson students demonstrate that all mirrors reverse images and that the apparent right to left reversal in a plane mirror is a result of that reversal.
Cornell University
Beam Focusing Using Lenses
Explore optics using an inquiry-based experimental approach! Young scholars use a set of materials to design and build a unit capable of focusing a beam of light. They experiment with different lenses to determine the best approach to...
Curated OER
Analyze This Function
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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
Polygons Homework
In this polygons worksheet, high schoolers 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 worksheet...
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