Assessment
Mathed Up!

Loci and Constructions

For Students 8th - 11th Standards
A General Certificate of Secondary Education math review has class members make basic constructions. Using a protractor and a ruler along with a compass, pupils develop drawings of triangles with given measurements. Scholars use their...
Instructional Video2:47
Corbett Maths

Constructing Equilateral Triangles and 60 Degree Angles

For Students 8th - 12th Standards
Creating a 60-degree angle also creates an equilateral triangle. By watching the video, individuals learn the steps required to construct a 60-degree angle. The presentation shows that the process is the same for constructing an...
Instructional Video3:08
Corbett Maths

Constructing SSS Triangles

For Students 8th - 11th Standards
Creating a triangles is as easy as 5, 6, 7. Using a ruler and compass to measure off lengths, a short video shows how to construct a triangle with three specific side lengths. The example creates a triangle with side lengths of 5 cm, 6...
Unit Plan
Mathematics Vision Project

Module 2: Congruence, Construction and Proof

For Teachers 9th - 12th Standards
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
Activity
1
1
Owl Teacher

Imaginary Nation: Constructing a Map

For Teachers 6th - 8th Standards
Your young geographers will combine what they have learned about the five themes of geography and their inner creativity to design a physical map for an imaginary nation.
Worksheet
Math Mammoth

Construct Line Segments and Angles

For Students 7th - 8th
In this construction instructional activity, students use a compass and a straightedge to construct line segments, angles, and copy polygons. This one-page instructional activity contains 7 constructions.
Unit Plan
Mathematics Vision Project

Congruence, Construction and Proof

For Teachers 9th - 10th Standards
Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...
Lesson Plan
EngageNY

Tangent Lines and the Tangent Function

For Teachers 11th - 12th Standards
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
Worksheet
Math Mammoth

Construct Line Segments and Angles

For Students 6th - 7th
In this math worksheet, learners are asked to used a compass and straight edge to construct copies of shapes, angles and line segments.
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...
Instructional Video1:54
Corbett Maths

Perpendicular Through a Point on a Line

For Students 8th - 11th Standards
Use one construction to complete a second. The short video shows how to incorporate the steps of a perpendicular bisector to create a perpendicular to a point on a line. With their own straightedges and compasses, classmates then...
Instructional Video2:16
Corbett Maths

Perpendicular from a Line to a Point

For Students 8th - 11th Standards
Take steps in the right direction. With a short demonstration, a video shows the steps to construct a perpendicular from a line to a point. Using a protractor, the narrator confirms the resulting construction is perpendicular, and then...
Lesson Plan
EngageNY

Dividing the King’s Foot into 12 Equal Pieces

For Students 9th - 10th Standards
Apply, apply, apply! A measurement lesson applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method that...
Lesson Plan
EngageNY

Properties of Dilations

For Teachers 8th Standards
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
Instructional Video2:06
Corbett Maths

Angle Bisector

For Students 8th - 11th Standards
Cut it in half with a compass and straightedge! Using construction tools, a video shows how to create an angle bisector. The presenter points out what it means to bisect an angle in terms of the measure and distances from the sides of...
Instructional Video6:35
Corbett Maths

Perpendicular Bisector

For Students 8th - 11th Standards
Where should the statue be located? The resource explains how to use a compass and straight-edge to construct the perpendicular bisector of a line segment. Using an exam question, the narrator models how to solve an application problem...
Instructional Video3:10
Corbett Maths

Hexagon Inscribed Within a Circle

For Students 8th - 12th Standards
Mark off the length of the radius around the circle. Using a compass, the presenter shows how to construct a regular hexagon in a circle. Pupils see how triangles formed in the hexagon are equilateral, allowing for the construction to...
Lesson Plan
EngageNY

Characterize Points on a Perpendicular Bisector

For Students 9th - 10th Standards
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
Lesson Plan
EngageNY

Looking More Carefully at Parallel Lines

For Students 9th - 10th Standards
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Lesson Plan
EngageNY

Special Lines in Triangles (part 1)

For Students 9th - 10th Standards
Allow your pupils to become the mathematicians! Individuals explore the properties of a midsegment of a triangle through construction and measurement. Once they figure out the properties, learners use them to draw conclusions.
Lesson Plan
EngageNY

Drawing Geometric Shapes

For Students 7th Standards
Learners build confidence working with geometric tools and develop their construction techniques in the sixth lesson plan of the 29-part series. Given a geometric description, they use a compass, protractor, or ruler to create it....
Lesson Plan
EngageNY

The Angle-Angle (AA) Criterion for Two Triangles to Be Similar

For Teachers 9th - 10th Standards
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Instructional Video5:58
Corbett Maths

Loci Part 3

For Students 8th - 11th
How do you use a scale drawing to find the region in a lake where a treasure is located? The narrator of a short video problem identifies three criteria to determine the location of the treasure. Using a compass and ruler, he determines...
Lesson Plan
EngageNY

Positive and Negative Numbers on the Number Line—Opposite Direction and Value

For Teachers 6th Standards
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...