How do we keep track of how many robots we've made?

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

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How do we keep track of how many robots we've made?

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

Conditional Remix & Share Permitted

CC BY-NC-SA
Let's review the multiplication principle which allows us to quickly count the number of possible robots.

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

Conditional Remix & Share Permitted

CC BY-NC-SA
How can trees be combined to count robots with many parts?

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

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Tree diagrams allow us to visualize these counting problems using any number of parts.

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

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Now it's your turn to drive. In this video we'll present you with a casting challenge to complete using everything we've learned so far.

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

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Create and evaluate expressions involving variables and whole number exponents.

b. Evaluate expressions at specific values of the variables.

d. Write and evaluate algebraic expressions.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Author:
- Liberty Public Schools
- Date Added:
- 04/12/2021

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Educational Use
Students create and analyze composite materials with the intent of using the materials to construct a structure with optimal strength and minimal density. The composite materials are made of puffed rice cereal, marshmallows and chocolate chips. Student teams vary the concentrations of the three components to create their composite materials. They determine the material density and test its compressive strength by placing weights on it and measuring how much the material compresses. Students graph stress vs. strain and determine Young's modulus to analyze the strength of their materials.

- Subject:
- Applied Science
- Architecture and Design
- Engineering
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Charisse Nelson
- Sarah Wigodsky
- Date Added:
- 10/14/2015

Unrestricted Use

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The purpose of this task is for students to find different pairs of numbers that sum to 7.

- Subject:
- Mathematics
- Measurement and Data
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

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This unit is an EQuIP Exemplar for adult education (http://achieve.org/equip). Students will connect their prior, real-world knowledge to the concept of order in mathematics. They will go through a discovery process with content that will build a deep, conceptual understanding of the properties of operations to explain why we perform operations in a certain order when we see just the naked numbers.

- Material Type:
- Lesson Plan
- Unit of Study
- Provider:
- EQuIP Exemplars
- Author:
- Connie Rivera
- Date Added:
- 11/26/2014

Unrestricted Use

CC BY
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

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Educational Use
While we know air exists around us all the time, we usually do not notice the air pressure. During this activity, students use Bernoulli's principle to manipulate air pressure so its influence can be seen on the objects around us.

- Subject:
- Applied Science
- Engineering
- Physical Science
- Physics
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Alex Conner
- Geoffrey Hill
- Janet Yowell
- Malinda Schaefer Zarske
- Tom Rutkowski
- Date Added:
- 10/14/2015

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Let's get to know Fran Kalal.

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

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Educational Use
Students engage in the second design challenge of the unit, which is an extension of the maze challenge they solved in the first lesson/activity of this unit. Students extend the ideas learned in the maze challenge with a focus more on the robot design. Gears are a very important part of any machine, particularly when it has a power source such as engine or motor. Specifically, students learn how to design the gear train from the LEGO MINDSTORMS(TM) NXT servomotor to the wheel to make the LEGO taskbot go faster or slower. A PowerPoint® presentation, pre/post quizzes and a worksheet are provided.

- Subject:
- Applied Science
- Career and Technical Education
- Electronic Technology
- Engineering
- Material Type:
- Activity/Lab
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Pranit Samarth
- Sachin Nair
- Satish S. Nair
- Date Added:
- 09/18/2014

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Overview of this topic.

- Subject:
- Applied Science
- Arts and Humanities
- Computer Science
- Graphic Arts
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Pixar
- Author:
- Disney Pixar
- Khan Academy
- Date Added:
- 07/14/2021

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.

- Subject:
- Geometry
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

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Educational Use
Students are introduced to the structure, function and purpose of locks and dams, which involves an introduction to Pascal's law, water pressure and gravity.

- Subject:
- Applied Science
- Engineering
- Hydrology
- Physical Science
- Material Type:
- Lesson Plan
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Denali Lander
- Denise W. Carlson
- Jeff Lyng
- Kristin Field
- Lauren Cooper
- Date Added:
- 09/18/2014

Conditional Remix & Share Permitted

CC BY-NC
- Subject:
- Mathematics
- Material Type:
- Full Course
- Provider:
- Pearson
- Date Added:
- 10/06/2016

Conditional Remix & Share Permitted

CC BY-NC
Expressions

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Write and evaluate simple expressions that record calculations with numbers.

Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.

Interpret numerical expressions without evaluating them.

Lesson Flow

Students learn to write and evaluate numerical expressions involving the four basic arithmetic operations and whole-number exponents. In specific contexts, they create and interpret numerical expressions and evaluate them. Then students move on to algebraic expressions, in which letters stand for numbers. In specific contexts, students simplify algebraic expressions and evaluate them for given values of the variables. Students learn about and use the vocabulary of algebraic expressions. Then they identify equivalent expressions and apply properties of operations, such as the distributive property, to generate equivalent expressions. Finally, students use geometric models to explore greatest common factors and least common multiples.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Unit of Study
- Provider:
- Pearson

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Students use a rectangular area model to understand the distributive property. They watch a video to find how to express the area of a rectangle in two different ways. Then they find the area of rectangular garden plots in two ways.Key ConceptsThe distributive property can be used to rewrite an expression as an equivalent expression that is easier to work with. The distributive property states that multiplication distributes over addition.Applying multiplication to quantities that have been combined by addition: a(b + c)Applying multiplication to each quantity individually, and then adding the products together: ab + acThe distributive property can be represented with a geometric model. The area of this rectangle can be found in two ways: a(b + c) or ab + ac. The equality of these two expressions, a(b + c) = ab + ac, is the distributive property.Goals and Learning ObjectivesUse a geometric model to understand the distributive property.Write equivalent expressions using the distributive property.

- Subject:
- Algebra
- Geometry
- Material Type:
- Lesson Plan
- Date Added:
- 09/21/2015

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Students do a card sort in which they match expressions in words with their equivalent algebraic expressions.Key ConceptsA mathematical expression that uses letters to represent numbers is an algebraic expression.A letter used in place of a number in an expression is called a variable.An algebraic expression combines both numbers and letters using the arithmetic operations of addition (+), subtraction (–), multiplication (·), and division (÷) to express a quantity.Words can be used to describe algebraic expressions.There are conventions for writing algebraic expressions:The product of a number and a variable lists the number first with no multiplication sign. For example, the product of 5 and n is written as 5n, not n5.The product of a number and a factor in parentheses lists the number first with no multiplication sign. For example, write 5(x + 3), not (x + 3)5.For the product of 1 and a variable, either write the multiplication sign or do not write the "1." For example, the product of 1 and z is written either 1 ⋅ z or z, not 1z.Goals and Learning ObjectivesTranslate between expressions in words and expressions in symbols.

- Subject:
- Algebra
- Material Type:
- Lesson Plan
- Date Added:
- 09/21/2015