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, learners solve 4 word problems using the formula given for area of a triangle.
Worksheet
National Council of Teachers of Mathematics

How Many Triangles?

For Students 5th - 8th
For this triangles worksheet, learners problem solve and shade triangles within other triangles. Students complete two problems.
Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
Lesson Plan
Curated OER

Which Triangles are Right

For Teachers 9th - 10th
Students apply properties of right triangles to solve problems. In this geometry lesson plan, students identify axioms and theorems using examples.
Lesson Plan
Curated OER

Medians and Altitudes of Triangles

For Teachers 10th
In this geometry worksheet, 10th graders determine if a given segment is a median or altitude of a triangle and use then find the indicated missing length or equation of a line.  The two page worksheet contains twenty...
Worksheet
Curated OER

Congruent Triangles

For Students 10th
In this congruent triangles learning exercise, 10th graders solve and complete 16 different types of problems. First, they name the corresponding parts of the congruent triangles shown and draw a picture. Then, students list the five...
Worksheet
Curated OER

Visualize Triangles

For Students 4th - 5th
In this finding triangles in parallelograms worksheet, students observe parallelograms, visualize half as congruent to triangles, and choose the triangle that would match each one. Students solve 5 problems.
Lesson Plan
Curated OER

Special Segments in a Triangle

For Teachers 10th
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
Lesson Plan
Curated OER

Roofing and Right Triangles

For Teachers 9th - 11th
Young scholars use models and symbols to represent properties of the Pythagorean Theorem. In this right triangle lesson, students connect real jobs to properties of right triangles. They solve word problems applying the correct ratios...
Worksheet
Curated OER

The Triangles Problem

For Students 10th
In this geometry instructional activity, 10th graders explain how two triangles can have 5 parts of the other triangle and still not be congruent. This is a word problem with an answer key.
Lesson Plan
Curated OER

Indirect Proof and Inequalities in One Triangle

For Teachers 10th
In this geometry worksheet, 10th graders order the sides and angles of a triangle and determine the range of the third side of a triangle given the lengths of two sides.  The one page worksheet contains sixteen questions. ...
Worksheet
Curated OER

Triangle Trigonometry IB Packet

For Students 11th - 12th
In this trigonometry instructional activity, students use triangle trignometry to solve problems in order to find the missing length, angle, or area of the triangle. The one page instructional activity contains...
Worksheet
Curated OER

Using Triangles To Make Shapes

For Students 3rd - 4th
For this using triangles worksheet, students create quadrilaterals and hexagons. In this problem solving worksheet, students draw as many quadrilaterals and hexagons as possible.
Worksheet
Curated OER

The Triangle Midsegment Theorem

For Students 10th
In this geometry worksheet, 10th graders identify the vocabulary associated with the Triangle Midsegment Theorem and solve problems in which they find the size of a missing angle or segment.  The one page worksheet contains nineteen...
Unit Plan
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1
Mathematics Vision Project

Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Lesson Plan
Mathematics Assessment Project

Deducting Relationships: Floodlight Shadows

For Teachers 9th - 12th Standards
Try to figure out what happens with shadows as a person moves between two light sources. A formative assessment lesson plan has individuals work on an assessment task based on similar triangles, then groups them based on...
Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Lesson Plan
EngageNY

Converse of the Pythagorean Theorem

For Students 8th Standards
Discover a new application of the Pythagorean Theorem. Learners prove and apply the converse of the Pythagorean Theorem in the 17th lesson in a 25-part series. The examples ask learners to verify right triangles using the converse...
Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Workbook
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Utah Education Network (UEN)

Ch 6: Expressions & Equations II–Real-world equations, Inequalities

For Students 7th Standards
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Lesson Plan
EngageNY

The Converse of the Pythagorean Theorem

For Teachers 8th Standards
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...

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