Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Willow Tree
Percents
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
Willow Tree
Three-Dimensional Figures
Time to move into the third dimension! Learn the names of the geometric solids and count faces, edges, and vertices. Then learn to recognize nets that create a given solid.
Willow Tree
Bar Graphs
Circles, lines, dots, boxes: graphs come in all shapes in sizes. Scholars learn how to make a bar graph using univariate data. They also analyze data using those bar graphs.
Willow Tree
Data Sampling
Some say that you can make statistics say whatever you want. It is important for learners to recognize these biases. Pupils learn about sample bias and the different types of samples.
Willow Tree
Simple Probability
The probability of learning from this lesson is high! Learners calculate probabilities as numbers and as decimals. They see how to use a complement to find a probability and even try a simple geometric probability problem.
Willow Tree
The Fundamental Counting Principle
How many different outfits can you make with what you have in your closet? The Fundamental Counting Principle can help you find an answer! Learners find totals using the Fundamental Counting Principle with problems that can have...
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Curated OER
Run, Gingerbread Men, Run!—Game
Run, gingerbread men! During the board game, four gingerbread men race to discover which one finishes first. Scholars take note of the game's results using a tally chart and bar graph for all to observe the frequency of the winning...
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...
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
Balanced Assessment
Transformation I
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate them into a...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Ladders
Young mathematicians to the rescue! Pupils use an interactive to find lengths relating a ladder against a building. The problems involve determining how long a ladder must be to reach a given floor to what floor can a given ladder reach.
CK-12 Foundation
Polynomials and Factoring: Classification Table
It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.
Illustrative Mathematics
One, Ten, and One Hundred More and Less
What's 1 more or less than a number? What's 10 more or 10 less than a given number? What's 100 more or 100 less than a number? These are the types of problems learners must answer in a six-question worksheet.
Illustrative Mathematics
Multiples of Nine
Which numbers are multiples of 9? Task class members to find the first ten multiples of 9 in a straightforward assessment worksheet.
Shodor Education Foundation
Equation Solver
Solve your equation and prove it, too. Young mathematicians solve linear equations using an interactive. They must input a property to justify each step of their solutions.
Alabama Learning Exchange
Triangle Area: No Height? Use the Sine
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
Alabama Learning Exchange
Building Functions: Inverse Functions from Tables and Graphs
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
Alabama Learning Exchange
Unit Circle: Special Angles—Just Know One
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
K20 LEARN
Do Placebos Kill Minotaurs?
But it's just a game! Learners play a game to learn basic concepts of statistical hypothesis testing. After using the digital-game module, pupils develop their own statistical hypotheses and test them.
K20 LEARN
Cumbersome Cubes
Halving is not always so simple. Small groups build a cube and then determine how to construct a cube that is half the size. Groups create two cubes, one that is the correct size and another that would be an alternative solution. To...
K20 LEARN
Simply Elementary, Watson!
Explore the process of inductive and deductive reasoning. A collaborative lesson has some groups apply an inductive approach and others a deductive approach. Through class discussion, scholars compare their processes and discuss...
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