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Flipped Math
Reflections
Take some time to reflect on graphing. Learners count a point's distance from the line of reflection to create reflections of geometric figures. Given the rules for four basic lines of reflections, pupils determine the points to create...
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...
Curated OER
Twists and Turns
Young scholars reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric...
Mathematics Vision Project
Module 3: Geometric Figures
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
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
Geometry Patterns
Fifth graders, using graphic and word processing software, create geometric patterns by performing elementary transformations.
Curated OER
Reflections over Two Lines & Dilations
Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
Curated OER
Making Shapes
Tenth graders construct geometric figures using compasses and protractors.
Curated OER
Let the Matrix Do It
Students create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...
Curated OER
Piece by Piece
What do your pupils know about quilting? Read and discuss the information included here before sending class members off to create their own quilt blocks using construction paper. When they have completed their blocks, provide some time...
Curated OER
Transformations-Shapes on the Move
Students examine transformations. In this math lesson, students view and describe flips, slides, and turns. Students practice making transformations with shapes.
Curated OER
Fun With Fractals
Students use fractals to analyze nature. For this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
Curated OER
Geometric Probablitiy: Spinners and Dartboards
Sstudents explore and analyze the properties of geometric areas. For this geometry lesson, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and compare and...
Curated OER
Effect of Transformations on Coordinates
In this effect of transformations on coordinates instructional activity, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.
Curated OER
Translating Transformations in Geometry
Students create an image using given coordinates and evaluate how the coordinates change when a slide or rotation takes place.
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
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...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
Mathematical Models with Applications: Two-Point Perspective Drawing
Students use interactive geometry exploration software (GES) to create a two-point perspective drawing. They explore basic geometry concepts in and geometric transformations of the model of a rectangular prism viewed from different...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry activity. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Curated OER
Terrific Tangrams
Third graders construct tangrams. In this tangrams lesson, 3rd graders manipulate basic shapes to construct tangrams. Students explore how shapes can be combined in different ways and develop spatial sense.