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EngageNY
Making Scale Drawings Using the Ratio Method
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.
Teach Engineering
Using Map Scales to Figure Distances and Areas
The asteroid is getting closer and the question is whether the state of Alabraska is large enough for the shelter calculated in the previous activity. Teams determine the scale of their project and then use the scale on the map to...
Las Cumbres Observatory
Calculating the Age of Solar System Objects
The number of craters on the surface of solar system objects has a direct correlation to its age. Learners use the concept to determine the age of several objects in the solar system. Using satellite images, they count craters within a...
Chymist
Pressure-Volume Relationships: Experiments with 140-mL Syringe
Learners examine Boyle's Law by analyzing experimental results with a hands-on lesson that provides a set of four experiments that illustrate the relationship between pressure and volume of gases. Groups analyze results using...
Curated OER
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
EngageNY
Calculating Probabilities of Events Using Two-Way Tables
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 1)
Being a statistician means never having to say you're certain! Learners develop two-way frequency tables and calculate conditional and independent probabilities. They understand probability as a method of making a prediction.
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 2)
Without data, all you are is another person with an opinion. Show learners the power of statistics and probability in making conclusions and predictions. Using two-way frequency tables, learners determine independence by analyzing...
EngageNY
Using Expected Values to Compare Strategies
Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
EngageNY
Using Permutations and Combinations to Compute Probabilities
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson explores the meaning of a population versus a sample and how to interpret the...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
CK-12 Foundation
When to Use the Distributive Property: Rational Expressions
Discover how the distributive property applies to division. As learners change numeric values within an expression, the simulation calculates its value. Challenge questions lead individuals to realize the power of distributing the...
EngageNY
Why Are Vectors Useful? 1
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
Baylor College
Using Heat from the Sun
Let's heat things up! This simple experiment demonstrates for students the important role the sun plays in providing the earth with energy. Place one cup of water in direct sunlight and one in shade, then take measurements in order to...
Cornell University
Beam Focusing Using Lenses
Explore optics using an inquiry-based experimental approach! Young scholars use a set of materials to design and build a unit capable of focusing a beam of light. They experiment with different lenses to determine the best approach to...
Curated OER
Using Matrices to Enter Data and Perform Operations
Here's a TI step by step guided lesson on matrices. The class enters data into the TI calculator about movie ticket sales and uses matrices as a problem solving tool. They add and multiply matrices to determine profit.
Achieve
BMI Calculations
Obesity is a worldwide concern. Using survey results, learners compare local BMI statistics to celebrity BMI statistics. Scholars create box plots of the data, make observations about the shape and spread of the data, and examine the...
Curated OER
Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
Texas Instruments
Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math instructional activity, high schoolers manipulate circles and lines on a TI calculator. They draw a circle and analyze perpendicular lines intersecting the circle in only one place....
Teach Engineering
How Big? Necessary Area and Volume for Shelter
Teams must determine the size of cavern needed to house the citizens of Alabraska to protect them from the asteroid impact. Using scaling properties, teams first determining the number of people that could sleep in a classroom and then...