PHET
Pre- and post-assessment (High School)
Need to gauge your pupils' understanding before the lesson plan begins? A base assessment includes short answer and drawings to determine pupil knowledge. Advanced assessment covers vector addition.
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
First-Person Computer Games
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
Texas Instruments
NUMB3RS Activity: Narrowing the Search
Young scholars explore the length of an n-dimensional vector. In this Algebra II/Pre-calculus lesson, students investigate an expansion of the Pythagorean Theorem to n-dimensional space.Â
PHET
Gravity And Orbits
Have you ever wanted to turn off gravity? This simulation allows learners to do just that in addition to altering other variables. Scholars can move the sun, Earth, moon, and space station to see how distance affects gravitational pull....
Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Curated OER
Typical Numeric Questions for Physics I - Forces
Let's get moving! Newton juniors solve 19 problems using force, speed, and acceleration equations. This is a nifty worksheet that includes a few diagrams and multiple choice selections for each question. It provides the straightforward...
Curated OER
Introduction to Linear Algebra 2.1
In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
Curated OER
Newton's Third Law
Students describe an everyday situation which demonstrates Newton's Third Law. They state Newton's Third Law;"Every action has an equal and opposite re-action, or every force has an equal and opposite force" in their own words. ...
Curated OER
Math 212: Planes
In this planes worksheet, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils work...
Curated OER
MA 371 - Matrices: Solving Systems and Determinants
In this solving systems and determinants worksheet, students solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Students find a basis for row spaces and column spaces. Students find the...
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.Â
Curated OER
Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Curated OER
Linear Independence, Bases and Coordinate Systems
Students define vocabulary related to vectors and investigate vector problems. In this math lesson, students define basis and explore plotting vectors in correlation to their basis. Plotting polynomials facilitates student understanding.
Curated OER
Worksheet 12
In this math worksheet, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
Curated OER
Monster Functions in Space Science I
In this solar magnetic field activity, students are given 2 equations and use them to find the magnetic field strength and the Bp and Bz for given conditions. they express their answer using scientific notation.
Curated OER
Linear Systems: Projections
In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Curated OER
Applications of the Pythagorean Theorem - Magnetism
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...
Curated OER
Linear Systems: Linear Equations
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Curated OER
More on Least Squares
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Mathed Up!
Mixed Transformations
Viewers learn how to identify and perform a variety of transformations with a video that provides seven items on transformations. Pupils demonstrate their understanding of dilations, reflections, rotations, and translations. The video...
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...