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
Are We Golden?
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
K20 LEARN
Prime Time
How many prime numbers are there between 1 and 100? By using a prime time resource, your scholars should be able to answer this question. Using arrays, they determine if numbers are prime or composite, and then write a prime...
American Institute of Physics
When Computers Wore Skirts: Katherine Johnson, Christine Darden, and the “West Computers”
Did you know that people, known as computers, performed the complex calculations that are now done by electronic computers? Three of these human computers, Katherine Johnson, Christine Darden, and Melba Roy Mouton are featured in a...
American Statistical Association
Who Has the Longest First Name?
Name that statistic! Classmates each write their name and the number of letters in it on a sticky note to place on the board. As a class, they determine the median, mode, and range of the name lengths, and create a dot plot of the data....
American Statistical Association
Nonlinear Modeling: Something Fishy
There are plenty of fish in the sea, but only a few good resources on regression. Young mathematicians first perform a linear regression analysis on provided weight and length data for fish. After determining that a linear model is not...
American Statistical Association
A Tale of One City and Two Lead Measurements
Lead the way in learning about lead contamination. Pupils first read several articles about the Flint water crisis and the EPA's rules for lead concentration. They use provided data from 71 Flint water wells to compute the 90th...
American Statistical Association
Choosing a Study Design for the Polio Vaccine
Be on the right side of history. Scholars first learn about polio and the meetings of the 1954 Salk polio vaccine study. In groups, they select roles, such as parents, government officials, and statisticians, and decide on the best...
American Statistical Association
How Long Are the Words in the Gettysburg Address?
It's 268 words, but one only needs to consider 10 of them at a time. A data collection and analysis activity has learners investigate the lengths of words in the Gettysburg Address. They first self-select a sample of 10 words and...
American Statistical Association
The Gumball Machine
Chew on an activity for probability. Given information on the number of gumballs in a gumball machine, scholars consider how likely it is to randomly draw a blue gumball and how many of each color they would draw in 10 trials if the...
American Statistical Association
The Mean and Variability from the Mean
Discover the mean from fair share to the balance point. The activity takes small groups of pupils through two different interpretations of the mean, the fair share understanding of the mean, and the balance point. Scholars use the...
Flipped Math
More Probability
Multiply the amount of probability using addition. Pupils use probabilities to make predictions in problems. They find shortcuts to find probabilities instead of listing the entire sample space. The learners then use the multiplication...
Flipped Math
Introduction to Probability
Chances are high that the class will probably like the lesson. Pupils view an introduction to probability and use the information to find probabilities of simple events based on the sample space. Scholars then use their knowledge of area...
Flipped Math
Unit 11 Review: Circles
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Flipped Math
Secants and Tangents
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Flipped Math
Intercepted Arcs
Intercept the class's learning on circles. Pupils learn the relationship between intercepted arcs and inscribed angles. The scholars use that information to find the relationship of angles in an inscribed quadrilateral and an angle...
Flipped Math
Chords and Arcs
Congruence breeds congruence. Pupils learn three more circle theorems dealing with congruent chords and arcs. Learners use the theorems to find the measures of chords and arcs in circles by applying previously learned concepts in the...
Flipped Math
Tangents to Circles
Touch a circle once. Individuals watch a video and learn two theorems related to tangents and circles. The pupils then apply the theorems to find missing angle measures and lengths in figures. At the end, they practice their skills on...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Flipped Math
Sectors and Segments
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...
Flipped Math
Circles and Arc Lengths
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Flipped Math
Area of Trapezoids, Kites, and Rhombi
Everything will add up. Learners find the areas of trapezoids, kites, and rhombi by using the area formulas. Scholars find any missing information needed to use within the formula and continue to use prior knowledge and practice...
Flipped Math
Parallelograms and Triangles
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...