Illustrative Mathematics
Tilt of Earth's Axis and the Four Seasons
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit about...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
Curated OER
Compound Locus
In this compound locus learning exercise, 10th graders solve and complete 10 different problems that include compound locus. First, they determine the number of points in a plane given the units from a given line and a point on the line....
Curated OER
Locus at a Fixed Distance
In this locus at fixed distance worksheet, 10th graders solve 10 different problems related to determining a fixed distance. First, they write the equation of the locus of points a certain number of units from the x-axis. Then, students...
Curated OER
Math Journal: Functions and Coordinate Geometry
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several...
Curated OER
Folding to Make Shapes
Second graders identify different polygons and their attributes. In this geometry instructional activity, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and...
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
Curated OER
Plot the x-y Coordinates on the Grids Below
In this coordinate grid graphing worksheet, students plot the given points onto each of 6 coordinate grids. All points are located in quadrant 1. One point is plotted on each grid. Answers are given by clicking the appropriate place on...
Curated OER
Handy Reflections
Learners explore reflections on a coordinate plane in this lesson. They trace their hand on a grid, determine the coordinates of each point, and create a scatter plot of their points. Pupils use this information to investigate aspect...
Curated OER
Constructing Tangrams
Sixth graders are introduced to how geometry and algebra are related. In groups, they graph various points on a coordinate plane and write the ordered pair for each quadrant. Using this information, they create their own tangrams to...
Curated OER
Constructing Tangrams
Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...
Curated OER
Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
Curated OER
Take Home Question – Chapter 4
In this graphing linear equations worksheet, students solve 8 short answer and graphing problems. Students graph linear equations, find their points of intersection, find the slope of each line, identify the constructed quadrilateral, etc.
Curated OER
Graphing From Function Tables
In this graphing from function tables worksheet, students graph given functions from a completed function table. This is a worksheet generator, the teacher can set the grid size for plotting points as well as whether or not to include a...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Curated OER
Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
Curated OER
NON-EUCLIDEAN GEOMETRY.
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
Curated OER
Plotting Points
In this middle school mathematics/Algebra I worksheet, students plot points on a coordinate plane. The one page worksheet contains six problems. Answers are not provided.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
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 unit...
EngageNY
Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
Curated OER
Perpendicular Bisector Theorem
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.