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Lesson Plan
EngageNY

Read Expressions in Which Letters Stand for Numbers

For Teachers 6th Standards
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
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Lesson Plan
EngageNY

Replacing Letters with Numbers II

For Teachers 6th Standards
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
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Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson plan focuses on expressions related to geometry, such...
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Activity
Noyce Foundation

Measuring Mammals

For Students K - 12th Standards
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
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Activity
Noyce Foundation

Double Down

For Students K - 12th Standards
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.  
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Activity
Noyce Foundation

The Wheel Shop

For Students K - 12th Standards
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
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Activity
Noyce Foundation

On Balance

For Students K - 12th Standards
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
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Lesson Plan
Code.org

Using Variables in Apps

For Teachers 9th - 12th
Investigate the benefits of using global variables. The seventh installment of a 21-part unit continues the study of variables from the previous lesson. Young computer scientists modify two existing apps by adding variables and learn how...
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Lesson Plan
Code.org

Controlling Memory with Variables

For Teachers 9th - 12th
Not all variables are created equal. Discover how variables in computer science are different from variables in math class. Scholars learn to work with variables in computer programming by developing a mental model for how variables...
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Assessment
EngageNY

End-of-Module Assessment Task - Precalculus (Module 5)

For Students 11th - 12th Standards
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and analyzing...
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Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 5

For Teachers 11th - 12th Standards
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
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Lesson Plan
EngageNY

Estimating Probability Distributions Empirically 2

For Teachers 11th - 12th Standards
Develop probability distributions from simulations. Young mathematicians use simulations to collect data. They use the data to draw graphs of probability distributions for the random variable in question.
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Lesson Plan
EngageNY

Estimating Probability Distributions Empirically 1

For Teachers 11th - 12th Standards
What if you don't have theoretical probabilities with which to create probability distributions? The 11th installment of a 21-part module has scholars collecting data through a survey. The results of the survey provide empirical data to...
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Lesson Plan
EngageNY

Determining Discrete Probability Distributions 2

For Teachers 11th - 12th Standards
Investigate how long-run outcomes approach the calculated probability distribution. The 10th installment of a 21-part module continues work on probability distributions from the previous lesson. They pool class data to see how conducting...
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Lesson Plan
EngageNY

Determining Discrete Probability Distributions 1

For Teachers 11th - 12th Standards
Learn how to determine a probability distribution. In the ninth installment of a 21-part module, future mathematicians use theoretical probabilities to develop probability distributions for a random variable. They then use these...
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Lesson Plan
EngageNY

Interpreting Expected Value

For Teachers 11th - 12th Standards
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
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Lesson Plan
EngageNY

Expected Value of a Discrete Random Variable

For Teachers 11th - 12th Standards
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
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Lesson Plan
EngageNY

Probability Distribution of a Discrete Random Variable

For Teachers 11th - 12th Standards
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
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Lesson Plan
EngageNY

Discrete Random Variables

For Teachers 11th - 12th Standards
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
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Assessment
Noyce Foundation

Gym

For Teachers 6th Standards
Give the class a mental work out with an assessment task in which young mathematicians compare several gym membership options. They use substitution to calculate the cost for given numbers of months.
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Unit Plan
Bowland

My Music

For Teachers 6th - 9th
Scholars investigate how the tempo of music affects heartbeats. Groups  develop hypotheses about music and its connection to heartbeats before carrying out an experiment. They analyze and present data from their investigations.
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Unit Plan
Bowland

In or Out? ... What's Your Decision?

For Teachers 6th - 9th
Young mathematicians use photos and video clips to determine if a cricket player is "in" or "out." This analysis occurs using scale factors, distance-rate-time formula, and consideration of precision and accuracy.
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Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
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Lesson Plan
Rochester Institue of Technology

Meal Picking

For Teachers 6th - 12th
Scholars explore systems design and its relation to meal picking by using computer simulations to test systems designs. They learn about the Pick-to-Light System and calculate average picking times.