Curated OER
Multivariable Calculus: Dot Product
In this dot product learning exercise, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page learning exercise contains examples and explanations with two problems.
Curated OER
Vocabulary for Newton's Laws
In this Newton's laws activity, learners match 24 terms with their definitions about topics related to Newton's three laws of motion. Topics include free body diagrams, vector diagrams, static equilibrium and all terms related to the...
Curated OER
Quaternions
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
EngageNY
Sequencing Translations
Investigate the results of multiple translations on an image. Scholars use vectors to perform a sequence of translations in the seventh activity of 18. They examine the results and determine the importance of using a sequence rather than...
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson plan in the series, pupils now test the associative and distributive properties. The...
Curated OER
Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
Curated OER
Geometry Practice: Transformations, Isometries, and Tessellations
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
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...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Complex Numbers
In this algebra activity, students solve complex numbers using multiplication and division properties. There are 10 questions with an answer key.
Curated OER
Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" instructional activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page instructional activity contains two multi-step problems.
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas.
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...
Physics Classroom
Force and Motion
Scholars focus on associating balanced forces with at rest or constant velocity motion and unbalanced forces with acceleration or deceleration. Practice problems with immediate feedback allow for quick success in an installment of the...
Curated OER
Ocean Impacts of an El Nino Event
Young scholars study sea surface height and temperature and other characteristics of an El Nino. In this ocean impacts lesson students examine the factors that influence an El Nino or La Nina.
Curated OER
Temperature
Several slides compare different temperature scales. Thermal expansion, heat transfer, and Maxwell speed distribution are also explored. The last two slides seem unrelated to the topic of heat, but are easily left out of this otherwise...
Lewiston High School
Weight and Mass & Forces in Equilibrium
I would weigh less on the moon? Send me there, then! On the top of the first page, a cartoon image demonstrates the difference between Earth and the moon. It then goes on to describe weight and mass and provides five practice problems...
Curated OER
Magnetism
All phenomena concerning magnets, their field lines and impact on objects are covered. The trivia surrounding field lines and the earth, electric charges, repulsion and attraction is plentiful. The slide show continues after twenty...
Curated OER
Crash Test Dummies
Fifth graders are introduced to Newton's First Law of Motion. In groups, they describe the differences between balanced and unbalanced forces. They participate in experiments that demonstrate how equal and opposite forces act upon...
Curated OER
Matrices and Transformations
For this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
Curated OER
Worksheet 22
In this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
Curated OER
Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation activity, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page activity contains explanations, examples, theorems and two problems for students to solve.
Curated OER
Let Us Bond Together
Fourth graders paricipate in a demonstration about bond strengths and bond types.