CK-12 Foundation
Ck 12: Interactive Geometry: 5.3 Parallel and Perpendicular Line Constructions
Understand the step-by-step processes used to create accurate geometric figures.
Texas Instruments
Texas Instruments: Traditional Copy an Angle: Compass Construction Using Cabri
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Construction of Perpendicular Bisector
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.
Maths Challenge
Maths challenge.net: Perpendicular Construction
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended to solve this "Perpendicular Construction" problem.
ArtsNow
Arts Now Learning: Monumental Construction [Pdf]
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
Texas Instruments
Texas Instruments: Ti 92 + Cabri Geometry for the Not Necessarily Advanced User
This activity is a tutorial on using the Cabri Geometry application. Students' perform geometric constructions which range from simple triangles to complex conics.
ArtsNow
Arts Now Learning: Monumental Construction [Pdf]
In this lesson, students work in teams to create large paper sculptures using newspaper rolled up into tubes.
Khan Academy
Khan Academy: Algebra I: Recursive Formulas for Geometric Sequences
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.
Khan Academy
Khan Academy: Converting Recursive and Explicit Forms of Geometric Sequences
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.
Khan Academy
Khan Academy: Algebra I: Explicit Formulas for Geometric Sequences
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...
Math Is Fun
Math Is Fun: Constructing a Triangle With 3 Known Sides
Students learn how to construct a triangle with three known sides using a straightedge and a compass. Includes an animated demonstration.
Illustrative Mathematics
Illustrative Mathematics: G Co Parallelograms and Translations
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Constructing the Orthocenter
Dr. Math shows how to construct the orthocenter of any triangle using a compass and straight edge.
Oswego City School District
Regents Exam Prep Center: Copy a Line Segment and an Angle
This site provides a step-by-step method to construct congruent segments and angles with a straight edge and compass.
Texas Instruments
Texas Instruments: Simple Constructions With Cabri Jr.
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Reflected Triangles
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.
Other
Gobierno De Navarra: Con Regla Y Compas
Learn how to construct figures in these interactive activities with only a ruler and a compass.
Illustrative Mathematics
Illustrative Mathematics: G Co Origami Equilateral Triangle
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...
Texas Instruments
Texas Instruments: Parallelograms: Discovering Their Properties
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.
Illustrative Mathematics
Illustrative Mathematics: G C Locating Warehouse
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...
Illustrative Mathematics
Illustrative Mathematics: G Srt Folding a Square Into Thirds
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.
Illustrative Mathematics
Illustrative Mathematics: G C Placing a Fire Hydrant
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...