Illustrative Math Alignment: Grade 6 Unit 9

Putting it All Together

Lesson 4: How Do We Choose?

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topics
Definition--Ratios, Proportions, and Percents Concepts--Percent of a Number	Percent of a Number Topic Ratios, Proportions, and Percents Definition Percent of a number involves calculating the amount represented by a certain percentage of that number. Description Understanding percentages is crucial for working with finances, statistics, and data analysis. For instance, to find 20% of 50, multiply 50 by 0.20, resulting in 10. Likewise, it's important for everyday scenarios, such as calculating discounts during shopping.	Percents
Definition--Ratios, Proportions, and Percents Concepts--The Percent One Number Is of Another	The Percent One Number Is of Another Topic Ratios, Proportions, and Percents Definition The percent one number is of another is a way to express one number as a percentage of another number. Description Understanding how to express one number as a percentage of another is crucial in various real-world applications, such as calculating discounts, tax, and interest rates. For example, if you want to find out what percentage 25 is of 200, you divide 25 by 200 and multiply by 100, resulting in 12.5%.	Percents
Definition--Ratios, Proportions, and Percents Concepts--Percent of an Unknown	Percent of an Unknown Topic Ratios, Proportions, and Percents Definition Percent of an unknown refers to solving for an unknown quantity when given a percentage of that quantity. Description Knowing how to find a percentage of an unknown variable is essential for solving equations in algebra. This concept appears in various situations, such as when determining discounts or portions of a total amount. For instance, if 20% of an unknown number equals 15, you can set up the equation: 0.20x = 15	Percents
Definition--Ratios, Proportions, and Percents Concepts--The Golden Ratio	The Golden Ratio Topic Ratios, Proportions, and Percents Definition The Golden Ratio is a special number approximately equal to 1.618, often denoted by the Greek letter φ (phi), which appears in various aspects of art, architecture, and nature.	Applications of Ratios, Proportions, and Percents and Ratios and Rates
Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality	The Constant of Proportionality Topic Ratios, Proportions, and Percents Definition The constant of proportionality is the constant value that relates two proportional quantities. Description The constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time).	Proportions
Definition--Circle Concepts--Ratio of Circumference to Diameter	Ratio of Circumference to Diameter Topic Circles Definition The ratio of the circumference to the diameter of a circle is the constant π.	Definition of a Circle
Definition--Sequences and Series Concepts--Common Ratio	Common Ratio Topic Sequences and Series Definition The common ratio is the ratio between consecutive terms in a geometric sequence. Description The common ratio is a fundamental concept in geometric sequences, representing the consistent factor by which each term is multiplied to obtain the next term. This concept is crucial in understanding exponential growth and decay, which are prevalent in various mathematical and scientific applications.	Sequences
Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function	In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources. To see the complete collection of TI graphing calculator resources, click on this Link.	Applications of Linear Functions, Applications of Circles and Geometric Constructions with Circles
Math Clip Art--The Language of Math--Numbers and Operations 01	Math Clip Art--The Language of Math--Numbers and Operations 01 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 1+1. It's a powerful tool for teaching basic addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "1+1" and its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 02	Math Clip Art--The Language of Math--Numbers and Operations 02 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 1+2. It's an essential tool for teaching addition and reinforcing the link between mathematical notation and verbal expression. By presenting "1+2" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 03	Math Clip Art--The Language of Math--Numbers and Operations 03 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 1+3. It serves as a valuable tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "1+3" alongside its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 04	Math Clip Art--The Language of Math--Numbers and Operations 04 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 1+4. It's an invaluable resource for teaching addition and strengthening the link between mathematical notation and verbal expression. By showcasing "1+4" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 05	Math Clip Art--The Language of Math--Numbers and Operations 05 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 1+5. It serves as a crucial tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "1+5" and its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 06	Math Clip Art--The Language of Math--Numbers and Operations 06 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 6+2. It's an essential tool for teaching addition and reinforcing the link between mathematical notation and verbal expression. By presenting "6+2" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 07	Math Clip Art--The Language of Math--Numbers and Operations 07 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 7+1. It serves as a valuable tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "7+1" alongside its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 08	Math Clip Art--The Language of Math--Numbers and Operations 08 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 8+3. It serves as a valuable tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "8+3" alongside its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 09	Math Clip Art--The Language of Math--Numbers and Operations 09 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 9+5. It's an invaluable resource for teaching addition and strengthening the link between mathematical notation and verbal expression. By showcasing "9+5" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 10	Math Clip Art--The Language of Math--Numbers and Operations 10 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 10+1. It serves as a crucial tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "10+1" and its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 11	Math Clip Art--The Language of Math--Numbers and Operations 11 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 11+2. It's an essential tool for teaching addition and reinforcing the link between mathematical notation and verbal expression. By presenting "11+2" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 12	Math Clip Art--The Language of Math--Numbers and Operations 12 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 12+3. It serves as a valuable tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "12+3" alongside its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 13	Math Clip Art--The Language of Math--Numbers and Operations 13 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 13+4. It's an invaluable resource for teaching addition and strengthening the link between mathematical notation and verbal expression. By showcasing "13+4" visually alongside its written form, students can more easily understand how addition is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 14	Math Clip Art--The Language of Math--Numbers and Operations 14 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 14+5. It serves as a crucial tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "14+5" and its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 15	Math Clip Art--The Language of Math--Numbers and Operations 15 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 15+6. It serves as a valuable tool in teaching addition and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "15+6" alongside its written form, students can more easily grasp the concept of addition and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 16	Math Clip Art--The Language of Math--Numbers and Operations 16 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 1-1. It's an invaluable resource for teaching subtraction and strengthening the link between mathematical notation and verbal expression. By showcasing "1-1" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 17	Math Clip Art--The Language of Math--Numbers and Operations 17 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 2-1. It serves as a crucial tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "2-1" and its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 18	Math Clip Art--The Language of Math--Numbers and Operations 18 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 3-1. It's an essential tool for teaching subtraction and reinforcing the link between mathematical notation and verbal expression. By presenting "3-1" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 19	Math Clip Art--The Language of Math--Numbers and Operations 19 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 4-1. It serves as a valuable tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "4-1" alongside its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 20	Math Clip Art--The Language of Math--Numbers and Operations 20 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 5-1. It's an invaluable resource for teaching subtraction and strengthening the link between mathematical notation and verbal expression. By showcasing "5-1" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 21	Math Clip Art--The Language of Math--Numbers and Operations 21 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 6-2. It serves as a crucial tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "6-2" and its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 22	Math Clip Art--The Language of Math--Numbers and Operations 22 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 7-1. It serves as a valuable tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "7-1" alongside its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 23	Math Clip Art--The Language of Math--Numbers and Operations 23 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 8-3. It's an invaluable resource for teaching subtraction and strengthening the link between mathematical notation and verbal expression. By showcasing "8-3" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 24	Math Clip Art--The Language of Math--Numbers and Operations 24 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 9-5. It serves as a crucial tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "9-5" and its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 25	Math Clip Art--The Language of Math--Numbers and Operations 25 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 10-1. It's an essential tool for teaching subtraction and reinforcing the link between mathematical notation and verbal expression. By presenting "10-1" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 26	Math Clip Art--The Language of Math--Numbers and Operations 26 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 11-2. It serves as a valuable tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "11-2" alongside its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 27	Math Clip Art--The Language of Math--Numbers and Operations 27 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 12-3. It's an invaluable resource for teaching subtraction and strengthening the link between mathematical notation and verbal expression. By showcasing "12-3" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 28	Math Clip Art--The Language of Math--Numbers and Operations 28 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 13-4. It serves as a crucial tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "13-4" and its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 29	Math Clip Art--The Language of Math--Numbers and Operations 29 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 14-5. It serves as a crucial tool in teaching subtraction and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual link between "14-5" and its written form, students can more easily grasp the concept of subtraction and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 30	Math Clip Art--The Language of Math--Numbers and Operations 30 Topic The Language of Math Description This image showcases the numerical expression and corresponding words for 15-6. It's an essential tool for teaching subtraction and reinforcing the link between mathematical notation and verbal expression. By presenting "15-6" visually alongside its written form, students can more easily understand how subtraction is expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 31	Math Clip Art--The Language of Math--Numbers and Operations 31 Topic The Language of Math Description This image illustrates the numerical expression and corresponding words for 11. It serves as a valuable tool in teaching multiplication and reinforcing the connection between mathematical symbols and their verbal representations. By providing a visual representation of "11" alongside its written form, students can more easily grasp the concept of multiplication and how it's expressed both numerically and verbally.	Number Names and Numerical Expressions
Math Clip Art--The Language of Math--Numbers and Operations 32	Math Clip Art--The Language of Math--Numbers and Operations 32 Topic The Language of Math Description This image presents the numerical expression and corresponding words for 21. It's an invaluable resource for teaching multiplication and strengthening the link between mathematical notation and verbal expression. By showcasing "21" visually alongside its written form, students can more easily understand how multiplication is expressed both numerically and verbally.	Number Names and Numerical Expressions

Illustrative Math Alignment: Grade 6 Unit 9

Putting it All Together

Lesson 4: How Do We Choose?

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