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EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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...
Scholastic
Pilgrim and Wampanoag Daily Life for Grades 3-5
Thirteen steps make up a lesson that challenges pupils to compare and contrast the daily lives of Pilgrims and the Wampanoag tribe. Learners revisit the Graffiti Wall then break into small groups for an investigative reading assignment...
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...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
Mathematics Vision Project
Congruence, Construction and Proof
Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Intel
Plugging into the Sun
What's cooking? A sizzling STEM unit challenges scholars to build a solar cooker that can successfully cook an egg. The unit opens with a study of Earth's rotation, the sun's energy, and shadows. Pupils use a compass and thermometer to...
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...
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
August House
The Ghost Catcher
Delve into a Bengali folktale with a series of reading comprehension activities. Before kids read The Ghost Catcher, they discuss the concept of reflections and mirrors. They then answer comprehension questions about the characters and...
Scholastic
Voyage on the Mayflower for Grades 3-5
Following an online activity, scholars complete a Grafitti Wall in which small groups write words and phrases on chart paper pertaining to Pilgrims, the Mayflower, and Thanksgiving. Pupils perform a close reading then answer a series of...
EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory lesson plan makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
EngageNY
Are All Parabolas Congruent?
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.
Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The instructional activity incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity...
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...
Curated OER
Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Illustrative Mathematics
Similar Circles
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of...
Institute of Electrical and Electronics Engineers
Working with Wind Energy
Teams design and build a windmill, under budget, that can lift an object. The groups evaluate and reflect on their own design, then on those produced by other teams. The goal is to determine which design is the most...
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.