Illustrative Math Alignment: Grade 6 Unit 7

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is part of a collection of math video definitions related to the topics of rationals and radicals. Note: The download is an MP4 video.

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of rational functions. Such disparate phenomena as submarines, photography, and the appearance of certain organisms can be explained through rational function models.

This is the transcript for the video of same title. Video contents: In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine.

This is the transcript for the video of same title. Video contents: All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms.

This is the transcript for the video of same title. Video contents: The Hubble Telescope has transformed how we view the universe. We learn about the lens formula and how it is used in the construction of telescopes.

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This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Adding Integers.

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This is the transcript that goes with the video segment entitled Video: Integers: Comparing and Ordering Integers.

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This is the transcript that goes with the video segment entitled Video: Integers: Dividing Integers.

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This is the transcript that goes with the video segment entitled Video: Integers: Integers and Absolute Value.

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This is the transcript that goes with the video segment entitled Video: Integers: Integers and Exponents.

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Distance Measures on a Number Line

This is the transcript that goes with the video segment entitled Video: Integers: Integers on the Cartesian Coordinate System.

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This is the transcript that goes with the video segment entitled Video Transcript: Integers: Multiplying Integers.

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This is the transcript that goes with the video segment entitled Video: Integers: Numerical Expressions with Integers.

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This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Subtracting Integers.

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This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers.

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This is the transcript that goes with the video segment entitled Video: Integers: What Are Integers?

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What Are Rational Numbers?

This is the transcript that goes with the video segment entitled Video: Rational Numbers: Comparing and Ordering Rational Numbers.

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This is the transcript that goes with the video segment entitled Video: Rational Numbers: Dividing Rational Numbers.

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This is the transcript that goes with the video segment entitled Video: Rational Numbers: Multiplying Rational Numbers.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: Rational Numbers: Numerical Expressions with Rational Numbers.

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This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers and Absolute Value.

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This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers and Exponents.

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This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers and Irrational Numbers.

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Distance Measures on a Number Line

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Rational Numbers On the Cartesian Coordinate System.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Subtracting Rational Numbers.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers.

To see the complete collection of video transcriptsy, click on this link.

What Are Rational Numbers?

Topic

Integers

Description

This video introduces integers through real-world contexts, such as construction sites, depth measurements, and temperatures. Key math concepts include understanding positive, negative, and zero values. Examples demonstrate integers in counting and measurements. Key vocabulary: integers, positive numbers, negative numbers, zero. Applications include modeling real-world situations like relative positions above or below a reference point, and interpreting temperature changes.

Topic

Integers

Description

The video focuses on solving expressions involving integers. Key concepts include the order of operations and combining volumes of geometric shapes. Vocabulary: order of operations, volume, rectangular prism, cube. Applications include calculating areas, volumes, and net volumes of complex shapes.

Topic

Integers

Description

This video introduces variable expressions with integers, focusing on simplifying and evaluating expressions. Key concepts include distributive property, combining like terms, and factoring. Vocabulary: variable expression, distribute, like terms. Applications involve calculating areas and volumes using expressions with variables.

Topic

Integers

Description

The video explains plotting integers on the Cartesian coordinate plane and interpreting their positions. Key concepts include the origin, quadrants, and symmetry about axes. Vocabulary: Cartesian coordinate system, origin, quadrants, symmetric. Applications include graphing points to describe movements and identifying symmetries in geometric shapes.

Topic

Integers

Description

The video demonstrates representing integers on a number line and understanding their relationships. Key concepts include sequential ordering, positive and negative integer placement, and infinity representation. Vocabulary: number line, positive integers, negative integers, sequential order. Applications cover graphing depths, altitudes, and temperatures on number lines.

Topic

Integers

Description

This video focuses on finding distances between points using absolute value. Key concepts include absolute value, distance on a number line, and integer representation of vertical movement. Vocabulary: absolute value, number line, distance. Applications include determining changes in altitude, depth, or height in real-world examples like kite flights and submersible movements.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

This video explains integer addition using examples and visual tools. Key concepts include adding positive and negative integers, integer jumps on a number line, and zero pairs. Vocabulary: add, negative integer, positive integer, zero pairs. Applications involve altitude corrections, depth calculations, and modeling integer addition with algebra tiles.

Topic

Integers

Description

This video introduces subtracting integers and interpreting results using number lines. Key concepts include subtracting positive and negative integers, and temperature range calculations. Vocabulary: subtract, negative integer, positive integer, temperature range. Applications include finding temperature changes, vertical distances, and differences between opposites.

Topic

Integers

Description

The video explains integer multiplication through examples and visual aids like arrays. Key concepts include rules for multiplying positive and negative integers. Vocabulary: multiply, array, Cartesian plane. Applications include calculating distances drilled by oil derricks, financial debits, and credits.

Topic

Integers

Description

This video covers integer division and introduces cases where the quotient is not an integer. Key concepts include dividing positive and negative integers, and understanding rational numbers. Vocabulary: divide, quotient, rational numbers. Applications include sharing resources and modeling division on Cartesian planes.

Topic

Integers

Description

This video discusses the properties of integers in exponentiation. Key concepts include integer powers, inverse square relationships, and manipulating terms with positive and negative exponents. Vocabulary: exponent, cube, inverse square. Applications include calculating cube volumes and understanding gravitational effects.

Topic

Rational Numbers

Description

This video introduces rational numbers, defined as ratios of two integers where the denominator is non-zero. Key concepts include fractions, ratios, and integers as rational numbers. Applications involve classroom ratios and number line representation with positions like 5/4 and -2/4. It emphasizes rational numbers in everyday contexts, such as temperature comparisons using decimals.

Topic

Rational Numbers

Description

The video explores the interaction of rational numbers with exponents. Examples include expressing square roots as rational exponents and simplifying complex expressions. Applications in geometry and algebra highlight the versatility of these concepts for further mathematical studies.

Topic

Rational Numbers

Description

This video discusses evaluating numerical expressions with rational numbers, emphasizing the order of operations (PEMDAS). Examples include calculating areas of rectangles and finding the slope of a line using the Cartesian plane. It highlights parentheses' role in operations and real-world applications like geometry and measurements.

Topic

Rational Numbers

Description

The video explores variable expressions involving rational numbers. Examples include finding combined areas of rectangles using algebraic expressions and analyzing the trajectory of a ball using a formula with time as a variable. It demonstrates real-world applications of rational number operations in algebra and physics.