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  • Numbers and Operations
Apply the language and notation of sets
Unrestricted Use
CC BY
Rating
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This resource contains a student activity handout, a facilitation guide, example solutions, and class notes. Students work together to discover one-to-one correspondences between various infinite sets of numbers and the set of natural numbers. At the end of this activity the compiled results of their group work form a list of infinite sets that all have the same cardinality as the set of natural numbers. Instructors may take this lesson further by discussion countably infinite versus uncountably infinite sets. This activity aligns with MATH 1332 Learning Outcome 1: Apply the language and notation of sets.

Subject:
Algebra
Functions
Geometry
Measurement and Data
Numbers and Operations
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Game
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Simulation
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/15/2023
Area Model Introduction
Unrestricted Use
CC BY
Rating
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Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.

Subject:
Algebra
Education
Elementary Education
Mathematics
Numbers and Operations
Material Type:
Diagram/Illustration
Game
Interactive
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Amanda McGarry (co-lead)
Amy Hanson (lead designer)
Ariel Paul
Diana Lopez Tavares (artwork)
Jonathan Olson (developer)
Karina Hensberry
Kathy Perkins
Mariah Hermsmeyer (artwork)
Susan Miller
Date Added:
09/30/2022
Area Model Multiplication
Unrestricted Use
CC BY
Rating
0.0 stars

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying large numbers. Use the game screen to test your problem solving strategies!

Subject:
Algebra
Education
Elementary Education
Mathematics
Numbers and Operations
Material Type:
Diagram/Illustration
Game
Interactive
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Amanda McGarry (co-lead)
Amy Hanson (lead designer)
Ariel Paul
Diana Lopez Tavares (artwork)
Jonathan Olson (developer)
Karina Hensberry
Kathy Perkins
Mariah Hermsmeyer (artwork)
Susan Miller
Date Added:
09/30/2022
Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains class notes, an activity handout, and a facilitation guide. Students play the game “Let’s Make a Deal” to explore the underlying probability that guides the optimal strategy for contestants. This activity aligns with MATH 1342 Learning Outcome 3: Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.

Subject:
Algebra
Functions
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/22/2023
Demonstrate fundamental probability/counting techniques and apply those to solve problems.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a facilitation guide, class notes, and an activity handout. Students play the game “Let’s Make a Deal” to explore the underlying probability that guides the optimal strategy for contestants. This activity aligns with MATH 1332 Learning Outcome 4: Demonstrate fundamental probability/counting techniques and apply those techniques to solve problems.

Subject:
Algebra
Functions
Geometry
Measurement and Data
Numbers and Operations
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Game
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Simulation
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/21/2023
Demonstrate the ability to choose and analyze mathematical models to solve real-world problems.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a slide deck and a facilitation guide. Students are guided to consider how mathematics can help us understand the phenomenon of a pandemic and inform our responses. Students work in groups using the NCTM’s browser pandemic app to manipulate four factors that influence the spread of a virus to see the how changing these variables creates different outcomes. They learn and explore how a log curve is used in this model. This activity aligns with MATH 1332 Learning Outcome 6: Demonstrate the ability to choose and analyze mathematical models to solve problems from real-world settings, including, but not limited to, personal finance, health literacy, and civic engagement

Subject:
Algebra
Functions
Geometry
Measurement and Data
Numbers and Operations
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Game
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Simulation
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/21/2023
Determine the validity of an argument or statement and provide mathematical evidence.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a student activity handout, class notes, and a facilitation guide. Students work together to discover one-to-one correspondences between various infinite sets of numbers and the set of natural numbers. At the end of this activity the compiled results of their group work form a list of infinite sets that all have the same cardinality as the set of natural numbers. Instructors may take this lesson further by discussion countably infinite versus uncountably infinite sets. This activity aligns with MATH 1332 Learning Outcome 1: Apply the language and notation of sets

Subject:
Algebra
Functions
Geometry
Measurement and Data
Numbers and Operations
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Game
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Simulation
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/20/2023
Examine, analyze, and compare various sampling distributions for both discrete and continuous random variables.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a news article about using algorithms to stop gerrymandering and a lesson plan to pair with the article.Students make predictions, calculator confidence intervals, and discover the Law of Large Numbers via simulation. This lesson can be closed with a discussion of the Central Limit Theorem. This activity aligns with MATH 1342 Learning Outcome 5: Examine, analyze, and compare various sampling distributions for both discrete and continuous random variables and Learning Outcome 6: Describe and compute confidence intervals.

Subject:
Algebra
Functions
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/22/2023
Explain the role of probability in statistics.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a news article and a facilitation guide. Students play the game “Let’s Make a Deal” to explore the underlying probability that guides the optimal strategy for contestants. This activity aligns with MATH 1342 Learning Outcome 4: Explain the role of probability in statistics.

Subject:
Algebra
Functions
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/22/2023
Explain the use of data collection and statistics as tools to reach reasonable conclusions.
Unrestricted Use
CC BY
Rating
0.0 stars

This resource contains a news article, probability table, statistical study skill, and facilitation guide. Students investigate the role of statistics and mathematical modeling in football analysis. This activity aligns with MATH 1342 Learning Outcome 1: Explain the use of data collection and statistics as tools to reach reasonable conclusions.

Subject:
Algebra
Functions
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Data Set
Diagram/Illustration
Interactive
Lecture
Lecture Notes
Lesson
Lesson Plan
Module
Teaching/Learning Strategy
Unit of Study
Author:
Lindsey Jones
Jennifer Austin
Date Added:
09/22/2023