Fractions: 6th grade math course download PDF.

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1 I. Fractions and quotients
2 II. Properties of fractions
3 Did you get the hang of that fractions course?

Maths lessons on fractions in 6th grade to print or download for free in PDF.
As well as quotients and equalities. The student must master the definition and know how to place its abscissa on a graduated line as well as perform calculations of products of a number by a quotient or calculate proportions. Fractions are a primary concept, essentially, about comparing two numbers that would not be decimal numbers. Problem solving will also be a focus on this chapter in the sixth grade.
Many skills will be developed such as knowing how to graph a fraction of a figure or a quantity or knowing how to compare two quotients or to arrange them in an ascending or descending order.

I. Fractions and quotients

1. definition and vocabulary

Definition:

When a unit is divided into equal parts, each part is a fraction of the unit.

Example:

This rectangle represents the unit; it is divided into four equal parts.

Each part represents the fraction $\frac{1}{4}$ .

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1$ i.e. $4\times \,\frac{1}{4}=1$ .

$fractions$

2. Placement and comparison on a graduated half-line

Example:

To place the number $\frac{7}{3}$ on a graduated half-line, we transfer seven times the third of the unit

$\,(\,\frac{7}{3}=7\times \,\frac{1}{3}\,,)$ or we use $\frac{7}{3}=\frac{6}{3}+\frac{1}{3}=2+\frac{1}{3}$ .

3. Quotient

$quotient and fractions$

II. Properties of fractions

1.equalities of simple fractions

Example 1:

We placed the number $\frac{5}{2}$ on this graduated half-line.

We divide the unit into twice as many shares; we then take twice as many shares

and therefore $\frac{5}{2}=\frac{5\times \,2}{2\times \,2}=\frac{10}{4}$ .

$Equalities of fractions$

Example 2:

Here are different fractions equal to $\frac{2}{3}$ .

$Proportions and fractions$

2.comparison and graduated half line

Ownership:

To compare two fractions, we can use a graduated half-line or use their decimal writing (when it exists).

Example 1:

On this graduated half-line, $\frac{2}{3}$ is closer to 0 than to $\frac{4}{3}$ so $\frac{2}{3}<\frac{4}{3}$ .

Example 2:

To compare $\frac{5}{4}$ and $\frac{3}{2}$ , you can do one of the following:

$compare fractions$

3. take a fraction of a quantity

Ownership:

To take a fraction of a quantity is to multiply that fraction by that quantity.

Examples:

Take $\frac{1}{3}$ of 15 L, it is calculated $\frac{1}{3}\times \,15=\frac{15}{3}=15:3=5\,L$ .
To take $\frac{2}{3}$ of 15 L is to calculate 2 times $\frac{1}{3}$ of 15 L , that is $\frac{2}{3}\times \,15=2\times \,\,(\,15:3\,\,)=2\times \,5=10\,L$ .

Did you get the hang of that fractions course?

Things to remember:

Skills to learn about fractions:

what to remember

Know the definition;
Know how to compare fractions and place them on a graduated line;
Know the difference between a fraction, a decimal fraction and a fractional writing;
Calculate the fraction of a quantity;
Reduce to the same denominator.

This course is in accordance with the official programs of thenational education.

In addition, you can consult the exercises on fractions in sixth grade.


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Fractions: 6th grade math course download PDF.

I. Fractions and quotients

1. definition and vocabulary

2. Placement and comparison on a graduated half-line

3. Quotient

II. Properties of fractions

1.equalities of simple fractions

2.comparison and graduated half line

3. take a fraction of a quantity

Did you get the hang of that fractions course?

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