Lesson Plan
Curated OER

Line Symmetry and Rotational Symmetry

For Teachers 5th
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...
Lesson Plan
Curated OER

Understanding Symmetry Through Visual Art

For Teachers 4th
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...
Lesson Plan
Curated OER

Symmetry of the Addition Table

For Teachers 1st - 3rd Standards
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...
Lesson Plan
EngageNY

Rotations, Reflections, and Symmetry

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Triangles

For Teachers 3rd - 5th Standards
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...
Lesson Plan
Curated OER

Mirror Symmetry/Mirror Images

For Teachers 5th - 6th
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...
Lesson Plan
Curated OER

Dihedral Figures

For Teachers 6th - 12th
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.
Lesson Plan
Curated OER

Symmetry in Kaleidoscope Designs

For Teachers 9th - 11th
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.
Lesson Plan
Curated OER

Am I Seeing Double?

For Teachers All
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...
Lesson Plan
EngageNY

Construct and Apply a Sequence of Rigid Motions

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Punch Patterns

For Teachers 5th
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...
Unit Plan
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EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
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...
Lesson Plan
Curated OER

Symmetries of Rectangles

For Teachers 9th - 10th Standards
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Lesson Plan
Curated OER

IGD: Perpendicular Bisector

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Reflections and Equilateral Triangles

For Teachers 9th - 10th Standards
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...
Lesson Plan
Curated OER

Reflections and Equilateral Triangles II

For Teachers 9th - 10th Standards
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...
Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
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...
Lesson Plan
Curated OER

Technology Integrated Lesson

For Teachers 8th - 10th
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.
Lesson Plan
Curated OER

Geometry History Lesson

For Teachers 10th
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...
Lesson Plan
Curated OER

Explore Graphs and Factors

For Teachers 8th - 11th Standards
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.
Lesson Plan
Curated OER

Compound Locus

For Teachers 7th - 10th
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.
Lesson Plan
Curated OER

Investigating the properties of a circle

For Teachers 7th - 10th
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...
Lesson Plan
EngageNY

The Definition of a Parabola

For Students 10th - 12th Standards
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically. 
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
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...