Virginia Department of Education
Organisms in Symbiosis
Searching for an activity that allows emerging biologists to explore symbiosis up close and personal? Pupils collect samples and view lichens through a microscope and conclude with a discussion about the relationship they have...
Virginia Department of Education
Biomes of the World
Incorporate knowledge about biomes and ecosystems in multiple ways while encouraging creativity. Emerging ecologists collaborate and perform research to complete a graphic organizer about various biomes of the world. They conclude the...
Virginia Department of Education
Succession
The final lesson in a two-part series prompts scholars to create newspaper articles and succession events. Applying their knowledge of the ecosystem and the past examples of succession, they predict what will happen in the future...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
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...
Florida Department of Education
Goal Setting and Decision-Making
Making goals is easy, but how do you achieve them? Guide young decision makers into reaching setting and reaching their goals with a step-by-step guide. After answering questions about what they'd wish for or accomplish, learners write...
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...
EngageNY
Directed Line Segments and Vectors
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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
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 activity in the series, pupils now test the associative and distributive properties. The...
Bowland
Water Availability
Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...
EngageNY
Triangle Congruency Proofs (part 1)
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
EngageNY
Base Angles of Isosceles Triangles
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
Virginia Department of Education
Historical Models of Atoms
What does the past have to do with today? Young scientists find that answer as they learn more about past chemists and their significant contributions to the field. Pupils use the Internet to research historical figures...
University of Nottingham
Modeling Conditional Probabilities: 2
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
Center for History and New Media
A Look at Virginians During Reconstruction, 1865-1877
The transition between rebellion to reunification was not smooth after the Civil War. Young historians compare primary and secondary source documents in a study of the Reconstruction era in Virginia, noting the rights that were not...
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...
EngageNY
Probability Distribution of a Discrete Random Variable
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
Center for History and New Media
The Impact of the Jim Crow Era on Education, 1877–1930s
Even though American slaves were officially emancipated in 1865, the effects of slavery perpetuated throughout the 19th and 20th centuries. Middle and high schoolers learn about the ways that discrimination and the Jim Crow laws...
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