Illustrative Math Alignment: Grade 6 Unit 1

Topic

Fractions

Description

Fraction Bars: A fraction model used to represent fractions, fractions in simplest form, and fraction sums. The visual illustrates 1/2 + 1/3 = 5/6 using colored bars. This visual model aids in conceptual understanding of fraction operations and relationships.

Topic

Fractions

Description

Decimal Fraction: A fraction expressed as a decimal number, typically with a terminating or repeating decimal representation. Examples include 1/2 = 0.5, 3/4 = 0.75, and 1/3 = 0.333... This term bridges fractions and decimals, showing their equivalence and preparing students for broader applications in mathematics.

Topic

Fractions

Description

The Greatest Common Factor (GCF) is the largest number that divides two numbers evenly, used to simplify fractions. For example, the GCF of 24 and 36 is 12, enabling simplification of 24/36 to 2/3. This ensures fractions are in their simplest form. It supports simplifying fractions and ensures efficient fraction operations.

Topic

Fractions

Description

The Greatest Common Factor (GCF) is the largest number that divides two numbers evenly, used to simplify fractions. For example, the GCF of 24 and 36 is 12, enabling simplification of 24/36 to 2/3. This ensures fractions are in their simplest form. It supports simplifying fractions and ensures efficient fraction operations.

Topic

Fractions

Topic

Fractions

Description

The Greatest Common Factor (GCF) is the largest number that divides two numbers evenly, used to simplify fractions. For example, the GCF of 24 and 36 is 12, enabling simplification of 24/36 to 2/3. This ensures fractions are in their simplest form. It supports simplifying fractions and ensures efficient fraction operations.

Topic

Fractions

Description

An improper fraction has a numerator greater than or equal to the denominator, often rewritten as a mixed number. Examples include 4/3, 10/5, and 100/50. This provides a way to represent quantities larger than one. This extends the understanding of fractions to include those greater than one, useful in mixed-number arithmetic.

Topic

Fractions

Description

The term Ordering Fractions refers to arranging a set of fractions in ascending or descending order. The image provides examples of ordering fractions from least to greatest (1/5, 3/8, 1/2, 2/3) and greatest to least (7/8, 3/4, 2/3, 1/3). This term is important for comparing fractions and understanding their relative values, which is a fundamental skill in fraction operations.

Topic

Fractions

Topic

Fractions

Topic

Fractions

Description

A reciprocal is the multiplicative inverse of a number, obtained by swapping the numerator and denominator of a fraction. Examples include the reciprocals 2 / 3 and 3 / 2, as well as 4 / 5 and 5 / 4. This term connects to operations with fractions, especially in division and multiplication, where understanding reciprocals is essential for solving equations and simplifying expressions.

Topic

Fractions

Description

Fraction: A number representing part of a whole, usually written as the ratio of a numerator and a non-zero denominator. Examples include 4/16, 3/4, and 7/4, with visuals explaining numerator and denominator. This foundational term establishes the basic structure and meaning of fractions, essential for all subsequent fraction concepts.

Topic

Fractions

Description

This math clip art image showcases a pizza with two-fourths of it left to eat, presented in a different way compared to the previous image. It provides another visual representation of the fraction 2/4, reinforcing the concept that two parts out of four equal parts constitutes two-fourths, which is equivalent to one-half.

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 showcases a pizza with six-eighths of it left to eat, presented in a different way compared to the previous image. It provides another visual representation of the fraction 6/8, reinforcing the concept that six parts out of eight equal parts constitutes six-eighths, which is equivalent to three-fourths.

Topic

Fractions

Description

This math clip art image depicts a pizza with six-eighths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how six parts out of eight equal parts form the fraction 6/8, which is equivalent to 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 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 displays another variation of a pizza with two-sixths of it left to eat. It provides yet another visual representation of the fraction 2/6, further emphasizing the concept that two parts out of six equal parts constitutes two-sixths, regardless of the visual arrangement of the slices.

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 displays another variation of a pizza with three-eighths of it left to eat. It provides yet another visual representation of the fraction 3/8, further emphasizing the concept that three parts out of eight equal parts constitute three-eighths, regardless of the visual arrangement of the slices.

Topic

Fractions

Description

This math clip art image depicts a pizza with two-fourths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how two parts out of four equal parts form the fraction 2/4, which is equivalent to 1/2.

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 presents a fifth variation of a pizza with six-eighths of it left to eat. It offers yet another visual representation of the fraction 6/8, further reinforcing the concept that six parts out of eight equal parts constitute six-eighths, regardless of how it's visually presented or positioned.

Topic

Fractions

Description

This math clip art image presents another representation of a pizza with three-fourths of it left to eat. It provides a different visual arrangement of the fraction 3/4, reinforcing the concept that three parts out of four equal parts constitute three-fourths, regardless of their positioning.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with two-sixths of it left to eat, shown differently from the previous two images. It offers a third visual representation of the fraction 2/6, further reinforcing the concept that two parts out of six equal parts constitutes two-sixths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image showcases a pizza with two-eighths of it left to eat, presented in a different way compared to the previous image. It provides another visual representation of the fraction 2/8, reinforcing the concept that two parts out of eight equal parts constitutes two-eighths, which is equivalent to one-fourth.

Topic

Fractions

Description

This math clip art image showcases a sixth variation of a pizza with one-sixth of it left to eat. It provides yet another visual representation of the fraction 1/6, further emphasizing the concept that one part out of six equal parts constitutes one-sixth, regardless of its visual presentation or position within the whole.

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 showcases a pizza with two-sixths of it left to eat, presented in a different way compared to the previous image. 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 displays a fourth variation of a pizza with two-sixths of it left to eat. It provides yet another visual representation of the fraction 2/6, further emphasizing the concept that two parts out of six equal parts constitutes two-sixths, regardless of the visual arrangement of the slices.

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 depicts a pizza with two-sixths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how two parts out of six equal parts form the fraction 2/6, which is equivalent to 1/3.

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 depicts a pizza with seven-eighths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how seven parts out of eight equal parts form the fraction 7/8.

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 sixth variation of a pizza with three-eighths of it left to eat. It provides yet another visual representation of the fraction 3/8, further emphasizing the concept that three parts out of eight equal parts constitute three-eighths, regardless of its visual presentation or position within the whole.

Topic

Fractions

Description

This math clip art image showcases a pizza with one-sixth of it left to eat, presented in a different way compared to the previous image. It provides another visual representation of the fraction 1/6, reinforcing the concept that one part out of six equal parts constitutes one-sixth.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with two-eighths of it left to eat, shown differently from the previous two images. It offers a third visual representation of the fraction 2/8, further reinforcing the concept that two parts out of eight equal parts constitutes two-eighths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image presents a fifth variation of a pizza with two-sixths of it left to eat. It offers yet another visual representation of the fraction 2/6, further reinforcing the concept that two parts out of six equal parts constitutes two-sixths, regardless of how it's visually presented or positioned.

Topic

Fractions

Description

This math clip art image showcases yet another representation of a pizza with three-fourths of it left to eat. It offers a third visual arrangement of the fraction 3/4, further reinforcing the concept that three parts out of four equal parts constitute three-fourths, regardless of their visual presentation.

Topic

Fractions

Description

This math clip art image depicts a pizza with two-eighths of it left to eat. The visual representation clearly illustrates the concept of fractions, showing how two parts out of eight equal parts form the fraction 2/8, which is equivalent to 1/4.

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 and equivalent fractions. Teachers can use this image alongside others to demonstrate different fractions, compare fractions, and introduce the idea of simplifying fractions.

This is part of a collection of math clip art on equivalent fractions. This collection shows equivalent fractions represented as pizza slices.

Note: The download is a PNG file.

Related Resources

Topic

Fractions

Description

This math clip art image displays another variation of a pizza with six-eighths of it left to eat. It provides yet another visual representation of the fraction 6/8, further emphasizing the concept that six parts out of eight equal parts constitute six-eighths, regardless of the visual arrangement of the slices.

Topic

Fractions

Description

This math clip art image presents a fourth variation of a pizza with three-fourths of it left to eat. It provides yet another visual representation of the fraction 3/4, further emphasizing the concept that three parts out of four equal parts constitute three-fourths, regardless of the visual arrangement of the slices.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with two-sixths of it left to eat, shown differently from the previous images. It offers another visual representation of the fraction 2/6, further reinforcing the concept that two parts out of six equal parts constitutes two-sixths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image depicts a whole, unsliced pizza. It serves as a visual representation of a complete unit or "one whole" in fraction concepts. This image is crucial for establishing the foundation of fraction understanding, as it represents the starting point from which all fractions are derived.

Topic

Fractions

Description

This math clip art image presents yet another representation of a pizza with two-fourths of it left to eat, shown differently from the previous two images. It offers a third visual representation of the fraction 2/4, further reinforcing the concept that two parts out of four equal parts constitutes two-fourths, regardless of how it's visually presented.

Topic

Fractions

Description

This math clip art image presents a fifth variation of a pizza with three-eighths of it left to eat. It offers yet another visual representation of the fraction 3/8, further reinforcing the concept that three parts out of eight equal parts constitute three-eighths, regardless of how it's visually presented or positioned.

Topic

Fractions

Description

This math clip art image showcases a pizza with seven-eighths of it left to eat, presented in a different way compared to the previous image. It provides another visual representation of the fraction 7/8, reinforcing the concept that seven parts out of eight equal parts constitutes seven-eighths.

Topic

Fractions

Description

This math clip art image showcases another variation of a pizza with three-eighths of it left to eat, presented in a different way compared to the previous images. It provides another visual representation of the fraction 3/8, reinforcing the concept that three parts out of eight equal parts constitutes three-eighths, regardless of their positioning.

Topic

Fractions

Description

This math clip art image presents another representation of a pizza with three-eighths of it left to eat. It provides a different visual arrangement of the fraction 3/8, reinforcing the concept that three parts out of eight equal parts constitute three-eighths, regardless of their positioning.

Topic

Fractions

Description

This math clip art image presents another representation of a pizza with three-sixths of it left to eat. It provides a different visual arrangement of the fraction 3/6, reinforcing the concept that three parts out of six equal parts constitute three-sixths, regardless of their positioning.

Topic

Fractions

Description

This math clip art image presents a fifth variation of a pizza with one-sixth of it left to eat. It offers yet another visual representation of the fraction 1/6, further reinforcing the concept that one part out of six equal parts constitutes one-sixth, regardless of how it's visually presented or positioned.

Topic

Fractions

Description

This math clip art image displays a fourth variation of a pizza with one-sixth of it left to eat. It provides yet another visual representation of the fraction 1/6, further emphasizing the concept that one part out of six equal parts constitutes one-sixth, regardless of the visual arrangement of the slice.