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...
Lesson Plan
Curated OER

Distance Formula

For Teachers 8th - 10th
Young scholars 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...
Lesson Plan
Curated OER

Heron's Formula

For Teachers 9th - 10th
Students use Heron's formula to calculate the area of a triangle. In this geometry instructional activity, students use three different methods to solve the area of a triangle. They find and construct the incentor and angle bisector...
Worksheet
Curated OER

Heron's Formula Activity

For Students 5th - 6th
In this Heron's formula activity, students find the area of scalene triangles to the nearest tenth, showing their work in work space provided. Answers are included on page 2.
Worksheet
Curated OER

Heron's or Hero's Formula for Area of Scalene Triangle

For Students 7th - 8th
In this Heron's or Hero's formula for area of scalene triangle worksheet, students solve 4 word problems using the formula given for area of a triangle.
Worksheet
Curated OER

Trigonometry Worksheet

For Students 10th - 12th
In this trigonometry worksheet, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page worksheet...
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...
Worksheet
Curated OER

Triangles

For Students 10th
In this triangles worksheet, 10th graders solve 12 different problems that include various angles of triangles. First, they determine the measure of an exterior angle. Then, students determine the measure of any of the base angles of an...
Lesson Plan
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Curated OER

Areas of Geometric Shapes with the Same Perimeter

For Teachers 7th - 9th Standards
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Lesson Plan
Curated OER

Eagle Creek Park (A Hike)

For Teachers 8th - 9th
Young scholars plot a hiking course using aerial photos and a topographic overlay and find the latitude and longitude of absolute locations. They measure the total distance of a hiked area and figure the area of the ground walked using...
Lesson Plan
Curated OER

Some More Trigonometry

For Teachers 9th - 10th
Students define the law of cosine and its correct usage. In this trigonometry lesson plan, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
Lesson Plan
Curated OER

Law of Sines and Cosines

For Teachers 10th - 11th
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Lesson Plan
Curated OER

Law of Sine and Cosine

For Teachers 9th - 10th
Students solve problems using the law of sine and cosine. For this precaclulus lesson, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.
Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Worksheet
Curated OER

The Farmer's Problem

For Students 7th - 10th
In this farmer's problem, learners determine the maximum area that can be enclosed under given circumstances.  This one-page worksheet contains 1 problem.  The answer is provided.
Worksheet
Curated OER

PreCalculus: Final Examination

For Students 10th - 12th
In this final examination learning exercise, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page learning...
Worksheet
Curated OER

Chapter 6: Geometry Perimeter and Area

For Students 10th - 12th
In this perimeter and area learning exercise, students find the perimeter of various polygons.  They compute the perimeter, surface area, circumference, and volume of given figures.  Students explore trigonometric ratios. ...
Lesson Plan
Curated OER

Sine and Cosine

For Teachers 11th - 12th
Students solve problems using sine and cosine. In this precalculus lesson plan, students solve word problems using sine and cosine. They identify where it is appropriate to laws of sine and cosine and where to use the Pythagorean Theorem.
Handout
Wolfram Research

Wolfram Math World: Heron's Formula

For Students 9th - 10th
This site provides a detailed overview of Heron's Formula. Content includes a definition, example, and formula.
Handout
Cuemath

Cuemath: Heron's Formula and Quadrilaterals

For Students 9th - 10th
A comprehensive guide for learning all about Heron's Formula and quadrilaterals with numerous solved examples.
Activity
Texas Instruments

Texas Instruments: Calculating the Area of a Triangle Using Heron's Formula

For Teachers 9th - 10th
Students will measure the lengths of the sides of three different triangles and apply Heron's Formula to calculate the area in acres. The measurements for this activity may be done outside or, using a specified scale, completed inside....
Activity
Michigan Technological University

Heron's Formula for Computing Triangle Area Using External Functions

For Students 9th - 10th
Explains how to use Heron's formula with external functions using computer programming. Includes detailed directions.
Activity
University of Georgia

University of Georgia: Problem Solving With Heron's Formula

For Students 9th - 10th Standards
From the University of Georgia, this tutorial provides exercises and problems using Heron's Formula for the area of a triangle, makes use of several problem representation methods, including a graph.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Heron's Formula

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers Heron's Formula and problem solving using trigonometry.