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...
Curated OER
Marshmallow Figures
Learners enjoy making 3-D figures while learning about rectangular prisms, pyramids, vertices, edges, and faces. After a lecture/demo, students use marshmallows, toothpicks and a worksheet imbedded in this lesson to create 3 dimensional...
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.
Curated OER
Tennis Ball Tubes
Students determine whether the height of a tennis ball tube or the distance around the tube is greater, or whether they are the same. Using the formula for the circumference and diameter of a sphere, they discuss the word problem, and in...
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 deceptively...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
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
When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. For this patterns lesson plan, students also break up patterns to identify a pattern unit.
Curated OER
Moving Straight Ahead
Learners analyze the relationship between speed, time and distance. In this math instructional activity, students plan a school trip. Learners determine the efficiency and cost effectiveness of a trip.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
Curated OER
Triangles
This unit enables scholars to apply the rule for area of a triangle (area equals half base times height). They practice multiplication and division strategies as they calculate areas.
Curated OER
What a View!
Students examine two- and three-dimensional shapes and figures. Individually, they practice identifying the shape from various viewpoints. By completing this activity, they develop a spatial sense about how figures and shapes are...
Curated OER
Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
There's Gold in Them Thar Ratios
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
Curated OER
Quadrilaterals in the Coordinate Plane
Young scholars find the coordinates of the vertices of special quadrilaterals placed in the coordinate plane. They find the coordinates of missing vertices of squares and parallelograms.
Curated OER
Rectangles and Trapezoids in the Coordinate Plane
Learners determine the missing vertices of quadrilaterals. In this rectangles and trapezoids lesson, students examine the characteristics of quadrilaterals. They identify the missing vertices of a quadrilateral on a coordinate plane.
Curated OER
Patterns Here, There, and Everywhere!
Upper graders access the Microsoft Word program and create patterns by utilizing certain keys on the keyboard. They create picket fences, smiley faces, and hearts. It seems that this lesson has as much to do with keyboarding skills as it...
Curated OER
A World of Symmetry
Middle schoolers identify lines of symmetry. In this symmetry lesson, students create objects and identify their lines of symmetry. They answer questions about lines of symmetry. Middle schoolers cut shapes out of cookie dough and...
Curated OER
Teaching and Learning Through Objects
Students identify and interpret the function, usefulness or utitlity, form, beauty or aesthetics, and meaning, context or story, of objects and how they learn new skills and make things that they learn traditionally, by observation and...
Curated OER
Magician Squares
Elementary school learners investigate the attributes of a square. They discover that squares are polygons and examine squares found in everyday life. They concentrate on connecting the word, square, with the shape. As an extension,maybe...
Curated OER
Geometry Flip Book
Students investigate the concepts of geometry that can be grouped into a flip book that can be used for teaching and review purposes. They define the differences between two and three dimensional figures. Also polygons are reviewed and...
Curated OER
Exploring Arrangements of 2, 3, 4, and 5 Cubes
Learners use problem solving skills to create various models of tricubes, tetracubes, and pentacubes. They classify the cubes into various groupings and identify them as mirror images, regular arrangements, and irregular arrangements....
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