Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Houghton Mifflin Harcourt
Challenge: Parentheses, Please!
Given a string of numbers and math symbols, learners take the challenge to insert parenthesis in the proper places to reach certain solutions. This is a challenge, indeed, an engaging enrichment for those who need a little more math!
Curated OER
Principle of Art Balance
Reinforce a strong art vocabulary which can also apply to aspects of math and science. Kids read about various types of balance or symmetry found in art. They analyze three paintings based on vocabulary and read a how-to for creating...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Virginia Department of Education
Solve for the Unknown
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
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...
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Normal Community High School
Density
Change the density of water by adding minerals. The presentation discusses density—from the definition to calculations—and applies it to the real world. It briefly mentions specific gravity, and finishes by showing Archimedes'...
Cornell University
Atomic Bonding
Explore the connection of surface area to bonding within atoms. Learners complete lab investigations to model changing surface area with different sizes and concentrations of atoms. A flour fireball demonstration follows the labs to...
EngageNY
Solve for Unknown Angles—Transversals
Lead your class on an exciting journey through the world of math as they review geometry facts and solve for unknown angles. They learn how to use auxiliary lines and congruent angles to correctly complete each practice problem...
Curated OER
Oobleck
Here is a good instructional activity which aptly describes how to do the classic "Oobleck" lab with your young scientists. Unfortunately, the "Oobleck Investigation Sheet" in the plan doesn't open. However, this is a very clear...
Curated OER
Evaluating Expressions
In this evaluating expressions worksheet, students solve and complete 50 various types of review problems. First, they complete each sentence and define the listed terms. Then, students evaluate each expression for the given values. They...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
EngageNY
True and False Number Sentences
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th lesson in a module of 36.
Curated OER
19c European Liberalism
If you'd like to prompt some great discussions in your history class, this presentation will surely get your class talking. Addressing 19th century liberalism in Europe (including influences from England, France, America, and Ireland),...
Curated OER
Why Do Governments Exist? Locke, Hobbes, Montesquieu, and Rousseau
Here is a great secondary source reading that includes the primary ideas and philosophies of the famed Enlightenment philosophers: Thomas Hobbes, John Locke, Charles Montesquieu, and Jean-Jacques Rousseau. In additional to discussing...
Beyond Benign
Catalysts and Oxygen
Here is an engaging and hands-on lesson plan that allows high school chemists to demonstrate the effects of a catalyst on various chemicals. They garner knowledge of how reactants and products differ from one another, while...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Charleston School District
Solving Systems with Elimination
Can you handle one more method? It just might be your favorite! Building on the skills learned in the previous lessons in the series, scholars now learn the elimination method. The video examines problems of varying difficulty.