Texas Education Agency
Texas Gateway: Using Geometric Concepts and Properties to Solve Problems
Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.
Illustrative Mathematics
Illustrative Mathematics: G Mg Ice Cream Cone
You have been hired by the owner of a local ice cream parlor to assist in his company's new venture. The company will soon sell its ice cream cones in the freezer section of local grocery stores. The manufacturing process requires that...
CPALMS
Cpalms: Building Graduation Caps
[Free Registration/Login Required] For this lesson, learners build geometric models of graduation caps using stiff paper. The activity requires the application of skills in finding surface area, understanding similarity, knowing the...
Alabama Learning Exchange
Alex: Let's Go Hunting!
Students will work in groups of 3 or 4 scouring the campus for items of various shapes, sizes and angles. The items that students will be looking for are outlined on the rubric. Students will use technology to create a creative digital...
Annenberg Foundation
Annenberg Learner: Insights Into Algebra 1. Workshop 8
Students will construct a mathematical model of a gear to determine the number of revolutions.
Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Better Lesson
Better Lesson: Mars Habitat
In this lesson, students are asked to examine a model for a space station on Mars that will house six researchers studying the possibility of establishing a colony. Given the dimensions of the station and the minimum amount of space...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Seven Circles Iii
In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg How Far Is the Horizon?
Some friends are at the beach looking out onto the ocean on a clear day and they wonder how far away the horizon is. A second problem asks how far the horizon would be from the top of a mountain. Students must also answer a question...
Illustrative Mathematics
Illustrative Mathematics: G Mg, G Gmd Global Positioning System Ii
Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this...
Illustrative Mathematics
Illustrative Mathematics: G Mg Tilt of Earth's Axis and the Four Seasons
This task gives students a chance to explore the effects of the Earth's tilt and rotation using a simple geometric model of Earth-Sun interaction that shows why the seasons occur. Aligns with G-MG.A.1.
ArtsNow
Arts Now Learning: Monumental Construction [Pdf]
In this lesson, learners work in teams to create large paper sculptures using newspaper rolled up into tubes.
CPALMS
Cpalms: Size It Up
[Free Registration/Login Required] This is a formative assessment task where students are asked to use geometric solids to model each of four tent shapes on a worksheet and use mathematical language to describe them. Samples of student...
CPALMS
Cpalms: Population of Utah
[Free Registration/Login Required] This is a formative assessment task where students are asked to estimate the population of Utah based on information given about its population density and the perimeter of its state boundaries. Samples...
CPALMS
Cpalms: How Many Trees?
[Free Registration/Login Required] In this formative assessment task, students are asked to find the density and the estimated number of trees in a forest, given certain parameters. Samples of student responses and possible...
National Council of Teachers of Mathematics
Nctm: Illuminations: Proof Without Words: Completing the Square
Use this interactive geometric proof to complete the square using geometry.
Cut the Knot
Cut the Knot: Proof Without Words
This site explains the method of proof using diagrams. The site gives some history of methods of proof and how it has changed through time. The site gives numerous examples of proofs without words and a practice exercise to be worked on...