Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...
Curated OER
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
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...
CK-12 Foundation
Vector Subtraction
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Curated OER
Vectors: Follow That Arrow
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.
Urbana School District
Vectors
I don't always make vector jokes, but when I do, IJK. Vector addition using multiple methods, scalar multiplication, vector subtraction, vector components, relative velocities, free body diagrams, and so much more Are covered in this...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Curated OER
Ranking Molecular Properties Based Upon Intermolecular Forces
A splendid chart of information about chemical bonding tops the first page. In it you will find information on London forces, permanent dipoles, hydrogen bonds, ionic bonds, and covalent bonds. A four-step process for assigning...
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Curated OER
Matrix Madness!!
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day activity: Matrix Madness, Mystical Matrices, and Decode the Encode. The last activity has prizes that the...
Curated OER
Introduction to Vector Spaces
In this vector spaces learning exercise, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page learning exercise contains 13 problems.
Curated OER
Worksheet 24 Spring 1996
For this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
Curated OER
Which Quadrilateral Is It?
High schoolers prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil...
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...
Curated OER
Multivariable Calculus: Conservative Vector Fields
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Curated OER
Sled Kites and Trigonometry
Pupils study the history of kites and their fundamental properties. In this kites lesson students divide into teams and build and fly kites.
Curated OER
Worksheet 23 Spring 1996
In this math worksheet, learners fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.
Curated OER
Worksheet 37
In this math worksheet, students examine the similarities between three-dimensional geometric vectors and Fourier series. Then they write proofs for some of the equations.
Curated OER
The Haar Wavelet Filter Bank
In this Haar Wavelet learning exercise, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second...