EngageNY
Choice of Unit
Explore using units with scientific notation to communicate numbers effectively. Individuals choose appropriate units to express numbers in a real-life situation. In this 13th lesson plan of 15, participants convert numbers in scientific...
EngageNY
Chance Experiments
Class members are introduced to probability using terms such as impossible, unlikely, likely, and certain. Numbers between zero and one are associated with the descriptions of probability. Pupils find the likelihood of chance experiments...
EngageNY
Introduction to Networks
Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.
EngageNY
Networks and Matrix Arithmetic
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
EngageNY
Matrix Arithmetic in Its Own Right
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
EngageNY
Linear Transformations Review
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
EngageNY
Linear Transformations Applied to Cubes
What do you get when you combine a matrix and a cube? Well that depends on the matrix! Pupils use online software to graph various transformations of a cube. Ultimately, they are able to describe the matrix that is responsible for a...
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.
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.
EngageNY
Linear Transformations of Lines
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson plan, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to...
EngageNY
Vectors and Stone Bridges
What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
Counting Rules—Combinations
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
Curated OER
Areas of triangles, trapezoids, and rhombi
Students solve geometry problems. In this area and perimeter lesson, students use formulas to solve problems from the textbook.
Curated OER
Getting Into Shapes: Identifying and Describing Two-Dimensional Shapes
Young scholars examine their classroom to find examples of various types of shapes. After identifying and describing the various shapes, they draw as many as they can on a piece of paper. They organize them into an image based on their...
Georgia Department of Education
The Basketball Star
Have learners use math to prove they are sports stars! Assess a pupil's ability to create and analyze data using a variety of graphs. The class will be motivated by the association of math and basketball data.
Curated OER
M&M: Multiplication Madness
Students analyze the multiplication facts from zero to ten in the ten lessons of this unit. The concepts of mental multiplication and solving word problems are important components of this unit.
Curated OER
Spring Collecting and Identifying Bumble Bees
Students collect bumble bees in the field, record data, pin and label specimens, answer conclusion questions, and send specimens to research leaders for verification. They improve their ability to work in research teams. Students...
Resource Room
Multisensory Teaching: Positive and Negative Integers
Working with thermometers, sixth graders compare the value of positive and negative numbers. Plenty of teacher suggestions and independent practice ideas are presented. This website links to two more parts in this first of three integer...
Curated OER
How Fast is it Traveling?
Students calculate the rate of speed of various moving objects within the classroom setting, or outside under a controlled environment.