Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
TED-Ed
A-rhythm-etic. The Math Behind the Beats
Your learners will dance in their seats as this talented drummer connects math to music in a short video clip. Clayton Cameron shows how math puts the "cool" in various genres of music, including jazz, hip-hop, pop, R&B, and others,...
EngageNY
Describing the Center of a Distribution Using the Mean
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
EngageNY
Estimating Centers and Interpreting the Mean as a Balance Point
How do you balance a set of data? Using a ruler and some coins, learners determine whether the balance point is always in the middle. Through class and small group discussions, they find that the mean is the the best estimate of the...
EngageNY
Applying Probability to Make Informed Decisions
Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then use to...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The instructional activity...
EngageNY
Waves, Sinusoids, and Identities
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
EngageNY
Percent and Rates per 100
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th instructional activity in a series of 29. They represent percents as fractions, decimals, ratios, and models....
Texas Woman’s University
Patterns, Patterns Everywhere!
Not only is pattern recognition an essential skill for young children to develop, it's also a lot of fun to teach! Over the course of this lesson, class members participate in shared readings, perform small group activities, and complete...
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit integers.
Illustrative Mathematics
Adding Multiples
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram....
Illustrative Mathematics
Calculating and Rounding Numbers
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
Illustrative Mathematics
Shake and Spill
Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...
Virginia Department of Education
Laboratory Safety and Skills
Avoiding lab safety rules will not give you super powers. The lesson opens with a demonstration of not following safety rules. Then, young chemists practice their lab safety while finding the mass of each item in a mixture and trying to...
Illustrative Mathematics
Color Week
Practice counting by ones up to 20 with your kindergartners using this colorful class experiment. There are two versions for the lesson. Version 1: The Friday beforehand, send home a notice for the week assigning a different color for...
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
Virginia Department of Education
Acid-Base Theory
Litmus paper, why so blue? A chemistry instructional activity includes a pre-lab activity, practice calculating pH, an experiment measuring the pH in acids and bases, a titration demonstration, and a titration experiment.
Teach Engineering
Processes on Complex Networks
Introduces your class to random processes in networks with an activity that uses information about disease spread using the susceptible, infectious, resistant (SIR) model. Participants determine whether a susceptible person becomes...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
Teach Engineering
Properties of Mixtures vs. Solutions: Mix It Up!
Now it becomes crystal clear why the unit is called Mixtures and Solutions. The fifth installment of a six-part unit explores mixtures and solutions. After viewing a demonstration on mixing pebbles with water, salt with water, and...
Teach Engineering
Problem Solving
Need a activity? Problem solved. Scholars learn about the problem-solving process in the sixth installment of a 25-part Energy Systems and Solutions unit. The particular process in question is the Technological Method of Problem Solving.
Teach Engineering
Biot-Savart Law
Electrical current going round and round,produces a magnetic field. After a demonstration of the magnetic field surrounding an electrical wire, class members use the provided formula associated with Biot-Savart's Law to calculate the...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
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