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Lesson OverviewStudents will compare the formula for the area of a regular polygon to discover the formula for the area of a circle.Key ConceptsThe area of a regular polygon can be found by multiplying the apothem by half of the perimeter. If a circle is thought of as a regular polygon with many sides, the formula can be applied.For a circle, the apothem is the radius, and p is C.A=a(p2)→A=rC2→A=rπd2→A=rπ2r2→A=rπr=πr2 GoalsDerive the formula for the area of a circle.Apply the formula to find the area of circles.SWD: Consider the prerequisite skills for this lesson: understanding and applying the formula for the area of a regular polygon. Students with disabilities may need direct instruction and guided practice with this skill.Students should understand these domain-specific terms:apothemparallelogramderivationheightapproximate (estimate)scatter plotpiperimetercircumferenceIt may be helpful to preteach these terms to students with disabilities.

Subject:
Geometry
Material Type:
Lesson Plan
Author:
03/01/2022
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Students will extend their knowledge of surface area and nets of rectangular prisms to generalize a formula for the surface area of any prism.Key ConceptsStudents know how to find the surface area of a rectangular prism using a net and adding the areas for pairs of congruent faces. Students have not seen that the lateral surface forms one long rectangle whose length is the perimeter of the base and whose width is the height of the prism.Using this idea, the surface area of any right prism can be found using the formula:SA = 2B + (perimeter of the base)hGoalsFind a general formula for surface area of prisms.Find the surface area of different prisms.SWD: Generalization of skills can be particularly challenging for some students with disabilities. Students may need direct instruction on the connection between what they already understand and a general formula.Some students with disabilities may have difficulty recalling formulas when it comes time to apply them. Once students discover the formula SA = 2B + (perimeter of the base)h, consider posting the formula in the classroom and encouraging students to add the formula(s) to the resources they have available when completing classwork and homework.

Subject:
Geometry
Material Type:
Lesson Plan
Author:
03/01/2022
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This MathWorld page gives an explanation of combinations as they pertain to probability. Offers links to more complete information about various topics related to combinations.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Wolfram
12/01/2023
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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

El módulo 3, que se extiende a tres dimensiones, se basa en la comprensión de los estudiantes de la congruencia en el módulo 1 y la similitud en el módulo 2 para probar fórmulas de volumen para sólidos. Los materiales estudiantiles consisten en las páginas del estudiante para cada lección en el módulo 3. Los materiales listos para la copia son una colección de las evaluaciones del módulo, boletos de salida de la lección y ejercicios de fluidez de los materiales del maestro.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
Module 3, Extending to Three Dimensions, builds on students understanding of congruence in Module 1 and similarity in Module 2 to prove volume formulas for solids. The student materials consist of the student pages for each lesson in Module 3. The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
07/03/2014
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Students build on their existing air quality knowledge and a description of a data set to each develop a hypothesis around how and why air pollutants vary on a daily and seasonal basis. Then they are guided by a worksheet through an Excel-based analysis of the data. This includes entering formulas to calculate statistics and creating plots of the data. As students complete each phase of the analysis, reflection questions guide their understanding of what new information the analysis reveals. At activity end, students evaluate their original hypotheses and “put all of the pieces together.” The activity includes one carbon dioxide worksheet/data set and one ozone worksheet/data set; providing students and/or instructors with a content option. The activity also serves as a good standalone introduction to using Excel.

Subject:
Earth and Space Science
Science
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ashley Collier
Ben Graves
Daniel Knight
Drew Meyers
Eric Ambos
Eric Lee
Erik Hotaling
Joanna Gordon
Katya Hafich
Michael Hannigan
Nicholas VanderKolk
Olivia Cecil
Victoria Danner
02/17/2021
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Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
11/14/2023
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Find a quick, concise explanation of perimeter. Perimeter formulas are given for common plane figures.

Subject:
Mathematics
Material Type:
Provider:
Varsity Tutors
05/05/2022
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Find a quick, concise explanation of how to use formulas. Several examples are given and clearly explained.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
Varsity Tutors
05/05/2022
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Find a quick, concise explanation of area and the formulas for different shapes. An example is given to help you understand how find the area of a shape. The area formulas are listed for different types of shapes.

Subject:
Mathematics
Material Type:
Module
Provider:
Varsity Tutors
05/05/2022
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Explains how to calculate the volume of a rectangular prism using its formula. [4:00]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Virtual Nerd
10/01/2022
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This video gives a clear demonstration of how to figure the volume of rectangular prisms, and of nonoverlapping rectangular prisms. The video is accompanied by an activity and a student handout.

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
PBS LearningMedia