EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
EngageNY
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Bytes Arithmetic
Geometry Pad+
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Curated OER
Multiplying Special Case Polynomials
In this algebra worksheet, learners practice finding the product of two binomials. In each case either the answer represents a difference of squares or a perfect square trinomial. There are 26 problems with an answer key.
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Illustrative Mathematics
A Midpoint Miracle
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
Teach Engineering
Aerogels in Action
Model an oil spill cleanup. An engaging engineering lesson has groups using aerogels to simulate an oil spill cleanup (vegetable oil in water). Along the way, they learn about nanotechnology and hydrophilia/hydrophobia.
02 x 02 Worksheets
Dividing Polynomials Using Algebra Tiles
Discover how algebra tiles can help in dividing polynomials. Pupils watch as instructors demonstrate how to use algebra tiles to solve problems involving the division of a quadratic expression by a linear expression. Once they get the...
CK-12 Foundation
One-Step Equations and Inverse Operations: Additive Inverse
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
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...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
Curated OER
This House is Made of Mud: Exploring the Shapes in Our Lives
Students study about our dependence on the earth's resources for materials. They practice their knowledge of geometric shapes by recognizing them in the context of the story.
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes...
Curated OER
Introduction to Flight: A Math, Science and Technology Integrated Project
Seventh graders review graphing procedures and practice locating points using x,y coordinates. Students calculate the areas of the top and bottom surfaces of the airfoil. They construct a test model of the airfoil.
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...
Edline
Adding and Subtracting Integers
When should you use a number line to add and subtract integers, and when should you use absolute values? Complete a set of worksheets designed to reinforce adding and subtracting integers with both standard problems and word problems....