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Instructional Video7:11
HeyMath!

Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
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Lesson Plan
EngageNY

An Area Formula for Triangles

For Teachers 11th - 12th Standards
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
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Lesson Plan
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Curated OER

Dynamic Algebra

For Teachers 9th - 12th Standards
Explore 5 classical problems of algebra.  They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual thinking.
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Lesson Plan
Curated OER

Distance Formula

For Teachers 8th - 10th
Students watch teacher demonstration of distance formula, view non-collinear cities on maps, plot points on coordinate plane, evaluate square roots, compute distance between two points, and use Heron's formula to find area of triangles.
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Lesson Plan
Curated OER

Exploring Quadratic Data : Transformation Graphing

For Teachers 9th - 12th Standards
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
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Lesson Plan
Curated OER

Review Graphing Parabolas & Circles

For Teachers 8th - 12th
Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.
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Lesson Plan
Curated OER

Forms of Quadratic Equations

For Teachers 9th - 12th Standards
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
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Lesson Plan
Curated OER

Parabolas

For Teachers 11th - 12th
Students define a parabola through hands on creation. In this algebra lesson plan, students analyze the directrix and focus of a parabola. They create a paper parabola and identify the vertex with points equal distance apart from the...
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Lesson Plan
Curated OER

Distance Formula

For Teachers 9th - 10th
Students create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
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Lesson Plan
Curated OER

Formula Determination

For Teachers 9th - 12th
Students derive a formula for the interior degrees in any convex polygon. In this geometric figure activity, students determine the shapes of various polygons and the number of triangles formed. They use this information to derive the...
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Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
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Worksheet
Curated OER

Discovering Euler’s Formula for Planar and 3D Figures

For Students 10th
In this Geometry worksheet, 10th graders investigate the number of regions, edges, and vertices of sixteen planar figures in order to discover Euler’s Formula.  The two page worksheet contains a chart for the results of the investigation...
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Lesson Plan
Pennsylvania Department of Education

Euler's Formula

For Teachers 7th - 9th
Young scholars explore geometry by defining a list of vocabulary terms. In this shape characteristics lesson, students identify a number of different shapes and discuss the amount of edges, vertices, and faces using the Euler formula....
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Lesson Plan
Curated OER

Quadrilateral Explorations-Grade Nine

For Teachers 9th
Ninth graders investigate quadrilaterals.  In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas.  Additionally, students create various quadrilaterals given three point...
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Worksheet
Curated OER

Euler's Theorem

For Students 10th
In this Euler's Theorem worksheet, 10th graders solve and complete 15 various types of problems. First, they find the distance and midpoint of a segment given its endpoints. Then, students identify the number of vertices, edges, and...
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Lesson Plan
West Contra Costa Unified School District

Investigating the Discriminant

For Teachers 9th - 12th Standards
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
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Assessment
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Balanced Assessment

Sharp-Ness

For Students 9th - 12th Standards
Transform pupils into mathematicians as they create their own definitions and formulas. Scholars examine an assortment of triangles and create a definition and formula for determining the sharpness of the vertex angle. The groups of...
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Worksheet
Geometry Accelerated

Coordinate Geometry Additional Practice

For Students 8th - 10th Standards
Your learners get extra practice using coordinates in calculating mid points, finding end points, deciding if points are collinear, calculations using slope concepts, writing linear equations, using triangles and quadrilaterals, and...
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Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
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Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
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Worksheet
Geometry Accelerated

Accelerated Geometry Review Sheet

For Students 8th - 10th Standards
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
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Worksheet
Curated OER

Make Up Test on Solving Quadratics

For Students 10th
In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
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Worksheet
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Curated OER

Using the Distance Formula

For Students 10th - 11th
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
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Lesson Plan
Curated OER

Quadratics: Vertex Form

For Teachers 9th - 12th
Students practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens. Worksheets...