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Curated OER
Line Symmetry and Rotational Symmetry
Fifth graders investigate the symmetry of pattern block shapes. Students, working in groups determine whether each shape has line symmetry, rotational symmetry or both kinds of symmetry. Students determine how many lines of symmetry the...
Curated OER
Understanding Symmetry Through Visual Art
Have your class explore symmetry, radial balance and fractional parts in natural and man-made objects in their environment. Learners list examples and identify symmetrical and asymmetrical designs. Pupils are given a box of crayons and...
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs young scholars to an understanding of this crucial...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
Illustrative Mathematics
Lines of Symmetry for Triangles
What can symmetry tell us about triangles? After looking at four examples, learners will come to realize that lines of symmetry are different for equilateral, isosceles, and scalene triangles. Use this guided practice activity as an...
Curated OER
Mirror Symmetry/Mirror Images
Students explore lines of symmetry in geometric shapes. For this geometry lesson, students construct angles using mirrors and rubberbands, then predict the number of images that will appear in the reflection. Students reproduce lines of...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson plan, learners explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Curated OER
Symmetry in Kaleidoscope Designs
Young scholars define reflection, rotation and symmetry. In this symmetry lesson, students move the graph around the coordinate plane and identify the line of symmetry. They identify the different designs of a kaleidoscope.
Curated OER
Am I Seeing Double?
Students explore symmetrical design and lines of symmetry. In this fourth grade geometry lesson, students create their own symmetrical design and identify and label the lines of symmetry. Students use one design to create a...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Curated OER
Punch Patterns
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons...
Curated OER
Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Curated OER
IGD: Perpendicular Bisector
Students draw perpendicular bisectors. In this perpendicular bisectors lesson, students identify the perpendicular bisector in a polygon. They use web tools to create and measure perpendicular bisectors. Students...
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...
Curated OER
THE MEAN INDEX CARD
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Curated OER
Technology Integrated Lesson
Students investigate symmetry in the real world. In this geometry activity, students inter-relate math and technology. They create and name a variety of polygons.
Curated OER
Geometry History Lesson
Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
Curated OER
Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Curated OER
Compound Locus
Students investigate circles and compound locus. In this geometry lesson, students identify the distance from a point to a line. They use Cabri software to create lines and circles.
Curated OER
Investigating the properties of a circle
Learners use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
EngageNY
The Definition of a Parabola
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...