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, young scholars 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...
Other
Villanova University: Constructing a Dichotomous Key
This exercise provides information on how to construct a dichotomous key using geometrical shapes. Another exercise shows how a key can be constructed based on traits in a classroom group.
University of Georgia
University of Georgia: Inter Math: Constructionary
The activity is designed to help learners create constructions using Geometer?s Sketchpad. The geometry tutorial consists of definitions and pictures of mathematics terms.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: A Lifetime of Savings
The purpose of this instructional task is to give learners an opportunity to construct and find the value of a geometric series in a financial literacy context. Aligns with A-SSE.B.4.
Other
Antonio Gutierrez: Geometry From the Land of the Incas
Discovering the properties of constructions, seeing proofs in action, and viewing problems come to life here with this wonderful use of technology in the classroom. Single steps are explained and illustrated one at a time so that the...
National Council of Teachers of Mathematics
Nctm: Illuminations: Volume of a Cube
"The volume of a cube can be developed by considering unit cubes, a single row (longs) of unit cubes or a single layer (flats) of cubes using this applet." This easy software makes it possible to easily construct a cube and take it...
Depaul University
Depaul University: Inscribing Regular Polygons
In this lesson, students learn to inscribe regular polygons inside a circle.
National Council of Teachers of Mathematics
The Math Forum: The Cylinder Problem: High School Lesson
Using an engaging approach, this lesson requires students to record the volume of cylinders as a function of the radius. Students will construct and measure the volume of several cylinders and then begin comparing these shapes.
National Council of Teachers of Mathematics
The Math Forum: Triangle Formulas
Investigate the geometric definitions of triangles, focusing upon equilateral, isosceles, right, and scalene with detailed drawings and appropriate formulas for each. This site has links to more information on triangles.
Mathigon
Mathigon: Euclidean Geometry: Origami and Paper Folding
This lesson focuses on a different way to construct geometric figures without tools, Origami. The goal is to make objects out of one or more sheets of paper, without any additional tools like glue or scissors. You can create incredibly...
Wolfram Research
Wolfram Math World: Geometry
This MathWorld tutorial provides detailed overviews of the concepts and theorems associated with geometry. Most of the Math World sites are extensive and some require higher math knowledge to understand, links to terms and topics are...