eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 5.3 Parallel and Perpendicular Line Constructions

For Students 9th - 10th Standards
Understand the step-by-step processes used to create accurate geometric figures.
Unknown Type
Khan Academy

Khan Academy: Construct Scale Drawings

For Students 7th Standards
Students practice constructing scale drawings.
Lesson Plan
Texas Instruments

Texas Instruments: Traditional Copy an Angle: Compass Construction Using Cabri

For Teachers 9th - 10th Standards
Use Cabri Jr to copy an angle. The activity is followed by a student-to-student interview/reflection sheet intended to require students to think, talk, and write about why the construction worked. The reflection sheet could be adapted...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments

For Teachers 9th - 10th Standards
This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. Aligns with G-CO.D.12.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Construction of Perpendicular Bisector

For Teachers 9th - 10th Standards
A and B are two distinct points in the plane and line AB is the segment joining them. The goal of this problem is to construct the perpendicular bisector of segment AB. Aligns with G-CO.D.12.
Activity
Maths Challenge

Maths challenge.net: Perpendicular Construction

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this "Perpendicular Construction" problem.
Lesson Plan
ArtsNow

Arts Now Learning: Monumental Construction [Pdf]

For Teachers 9th - 10th Standards
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
Activity
Texas Instruments

Texas Instruments: Ti 92 + Cabri Geometry for the Not Necessarily Advanced User

For Teachers 9th - 10th Standards
This activity is a tutorial on using the Cabri Geometry application. Students' perform geometric constructions which range from simple triangles to complex conics.
Lesson Plan
ArtsNow

Arts Now Learning: Monumental Construction [Pdf]

For Teachers 3rd - 5th Standards
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
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Khan Academy

Khan Academy: Algebra I: Recursive Formulas for Geometric Sequences

For Students 9th - 10th Standards
Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Converting Recursive and Explicit Forms of Geometric Sequences

For Students 9th - 10th Standards
Given the explicit formula of a geometric sequence, find its recursive formula, and vice versa. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Algebra I: Explicit Formulas for Geometric Sequences

For Students 9th - 10th Standards
Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Handout
Math Is Fun

Math Is Fun: Constructing a Triangle With 3 Known Sides

For Students 9th - 10th Standards
Students learn how to construct a triangle with three known sides using a straightedge and a compass. Includes an animated demonstration.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Parallelograms and Translations

For Teachers 9th - 10th Standards
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Constructing the Orthocenter

For Students 9th - 10th Standards
Dr. Math shows how to construct the orthocenter of any triangle using a compass and straight edge.
Activity
Oswego City School District

Regents Exam Prep Center: Copy a Line Segment and an Angle

For Students 3rd - 8th Standards
This site provides a step-by-step method to construct congruent segments and angles with a straight edge and compass.
Activity
Texas Instruments

Texas Instruments: Simple Constructions With Cabri Jr.

For Teachers 9th - 10th
The Cabri Jr. Constructions Tools Menu (F3) contains tools for contructing geometric objects. This activity provides practice using several of the tools. The activity also investigates the terms: median of a triangle and the altitude of...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Reflected Triangles

For Teachers 9th - 10th Standards
In this task, students must use a straightedge and compass to construct the line across which one triangle was reflected onto another. Aligns with G-CO.A.5 and G-CO.D.12.
Activity
Other

Gobierno De Navarra: Con Regla Y Compas

For Students 9th - 10th Standards
Learn how to construct figures in these interactive activities with only a ruler and a compass.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Origami Equilateral Triangle

For Teachers 9th - 10th Standards
The purpose of this task is to explore reflections in the context of paper folding. Each fold is associated with a line of reflection and understanding each step in the construction requires careful analysis of angles and of the...
Lesson Plan
Texas Instruments

Texas Instruments: Parallelograms: Discovering Their Properties

For Teachers 9th - 10th Standards
Students use the TI-89 with CABRI Geometry to discover properties of parallelograms. They will construct a figure and use the definition to discover the figure is a parallelogram.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Locating Warehouse

For Teachers 9th - 10th Standards
You have been asked to place a warehouse so that it is an equal distance from three roads on a map. Students must fold a paper so that this point is where two folds intersect, and they must explain why their construction works and why...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Folding a Square Into Thirds

For Teachers 9th - 10th Standards
The goal of this task is to apply knowledge about similar triangles in order to understand an origami construction: trisection of the side of a square. Aligns with G-SRT.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Placing a Fire Hydrant

For Teachers 9th - 10th Standards
You have been asked to place a fire hydrant so that it is an equal distance from three locations on a map. Students must fold a paper so that this point is where two folds intersect, and they must explain why their construction works and...

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