Illustrative Math Alignment: Grade 6 Unit 1

Topic

Fractions

Description

This math clip art image depicts a pizza with four-sixths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how four parts out of six equal parts form the fraction 4/6, which is equivalent to 2/3.

As part of a collection of similar images showing various fractions, this visual aid can be used to introduce and reinforce the concept of fractions and equivalent fractions. Teachers can use this image alongside others to demonstrate different fractions, compare fractions, and introduce the idea of simplifying fractions.

Topic

Fractions

Description

This math clip art image showcases a pizza with two-sixths of it left to eat, presented in a different way compared to previous images. It provides another visual representation of the fraction 2/6, reinforcing the concept that two parts out of six equal parts constitutes two-sixths, which is equivalent to one-third.

Topic

Fractions

Description

This math clip art image presents a seventh variation of a pizza with three-sixths of it left to eat. It offers yet another visual representation of the fraction 3/6, further reinforcing the concept that three parts out of six equal parts constitute three-sixths, regardless of how it's visually presented or positioned.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with five-eighths of it left to eat, shown differently from the previous two images. It offers a third visual representation of the fraction 5/8, further reinforcing the concept that five parts out of eight equal parts constitutes five-eighths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image displays a fourth variation of a pizza with two-fourths of it left to eat. It provides yet another visual representation of the fraction 2/4, further emphasizing the concept that two parts out of four equal parts constitutes two-fourths, regardless of the visual arrangement of the slices.

Topic

Fractions

Description

This math clip art image depicts a pizza with three-fourths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how three parts out of four equal parts form the fraction 3/4.

As part of a collection of similar images showing various fractions, this visual aid can be used to introduce and reinforce the concept of fractions. Teachers can use this image alongside others to demonstrate different fractions, compare fractions, and introduce equivalent fractions.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with four-sixths of it left to eat, shown differently from the previous two images. It offers a third visual representation of the fraction 4/6, further reinforcing the concept that four parts out of six equal parts constitutes four-sixths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image displays a fourth variation of a pizza with four-eighths of it left to eat. It provides yet another visual representation of the fraction 4/8, further emphasizing the concept that four parts out of eight equal parts constitutes four-eighths, regardless of the visual arrangement of the slices.

Learn different strategies for adding fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for adding fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for adding fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for adding fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for adding fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for comparing fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for comparing fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Learn different strategies for comparing fractions. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

Note: The download is a PPT file.

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

Topic

Rationals and Radicals

Definition

Partial fraction decomposition is a method used to express a rational expression as a sum of simpler fractions.

Description

Partial Fraction Decomposition is a powerful tool in the study of Rational Numbers, Expressions, Equations, and Functions. It involves breaking down a complex rational expression into a sum of simpler fractions, which are easier to integrate or differentiate. For example, the rational function 

$$\frac{2x+3}{(x+1)(x-2)}$$

can be decomposed into 

In this Math Riddles Game, have your students review vocabulary around the topic of equivalent fractions. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

Related Resources

In this Math Riddles Game, have your students review vocabulary around the topic of equivalent fractions. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

Related Resources

Topic

Math Properties

Definition

The closure property for multiplication of fractions states that the product of any two fractions is always another fraction.

Description

The closure property for multiplication of fractions is a fundamental concept in mathematics that illustrates the consistency and completeness of the fraction number system. This property ensures that when we multiply any two fractions, the result is always another fraction, keeping us within the same number system.

Topic

Math Properties

Definition

The closure property for division of fractions states that the quotient of any two fractions (where the divisor is not zero) is always another fraction.

Description

The closure property for division of fractions is a crucial concept in mathematics that demonstrates the robustness of the fraction number system. This property ensures that when we divide one fraction by another (non-zero) fraction, the result is always another fraction, keeping us within the same number system.

Topic

Math Properties

Definition

The closure property for subtraction of fractions states that the difference between any two fractions is always another fraction.

Description

The closure property for subtraction of fractions is a fundamental concept in mathematics that demonstrates the consistency and completeness of the fraction number system. This property ensures that when we subtract one fraction from another, the result is always another fraction, keeping us within the same number system.

Topic

Math Properties

Definition

The closure property for addition of fractions states that the sum of any two fractions is always another fraction.

Description

The closure property for addition of fractions is a fundamental concept in mathematics that demonstrates the consistency and completeness of the fraction number system. This property ensures that when we add any two fractions, the result is always another fraction, keeping us within the same number system.

Topic

Fractions

Definition

Ordering fractions is the process of arranging fractions in ascending or descending order based on their numerical values.

Topic

Fractions

Definition

Ordering fractions is the process of arranging fractions in ascending or descending order based on their numerical values.

Topic

Fractions

Definition

Ordering fractions is the process of arranging fractions in ascending or descending order based on their numerical values.

Topic

Fractions

Definition

Comparing fractions involves determining which of two fractions is greater, or if they are equal, by considering their numerators and denominators.

Topic

Fractions

Definition

Comparing fractions involves determining which of two fractions is greater, or if they are equal, by considering their numerators and denominators.

Topic

Fraction Concepts

Definition

A benchmark fraction is a common fraction that you can use to estimate and compare other fractions.

Description

Benchmark fractions play a crucial role in developing fraction sense and estimation skills. These are well-known fractions that serve as reference points for comparing and estimating other fractions. The most commonly used benchmark fractions are 0, 1/4, 1/2, 3/4, and 1. Understanding and utilizing benchmark fractions helps students develop a better intuition for fraction sizes and relationships.

Topic

Fraction Concepts

Definition

A benchmark fraction is a common fraction that you can use to estimate and compare other fractions.

Description

Benchmark fractions play a crucial role in developing fraction sense and estimation skills. These are well-known fractions that serve as reference points for comparing and estimating other fractions. The most commonly used benchmark fractions are 0, 1/4, 1/2, 3/4, and 1. Understanding and utilizing benchmark fractions helps students develop a better intuition for fraction sizes and relationships.

In this tutorial students are shown how to use number lines to not only find equivalent fractions but also to write fractions in simplest form.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this tutorial students are shown how to use number lines to not only find equivalent fractions but also to write fractions in simplest form.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this tutorial students are shown how to find the GCF of the numerator and denominator and how to use it to simplify a fraction. Note: The download is a PDF version of this tutorial.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this tutorial students are shown how to find the GCF of the numerator and denominator and how to use it to simplify a fraction. Note: The download is a PDF version of this tutorial.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this worksheet students practice the skill of simplifying fractions by finding the GCF of the numerator and denominator. This is a companion to a tutorial on the same topic.

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Worksheet Library

In this worksheet students practice the skill of simplifying fractions by finding the GCF of the numerator and denominator. This is a companion to a tutorial on the same topic.

Related Resources

Worksheet Library

Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources.

Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources.

Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources.

In this worksheet, students order fractions from least to greatest or vice-versa. Fractions have denominators in the range 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 20. All fractions compared are less than 1.

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Worksheet Library

This is part of a collection of math worksheets on the topic of comparing numerical amounts.

Related Resources

Worksheet Library

This is part of a collection of math worksheets on the topic of comparing numerical amounts.

Related Resources

Worksheet Library

Learn various strategies for ordering fractions. These strategies include benchmark fractions, number lines, and equivalent fractions. Note: The download is a PDF file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Learn various strategies for ordering fractions. These strategies include benchmark fractions, number lines, and equivalent fractions. Note: The download is a PDF file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.