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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
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 .
i.e.
.
2. Placement and comparison on a graduated half-line
Example:
To place the number on a graduated half-line, we transfer seven times the third of the unit
or we use
.
3. Quotient
II. Properties of fractions
1.equalities of simple fractions
Example 1:
We placed the number on this graduated half-line.
We divide the unit into twice as many shares; we then take twice as many shares
and therefore .
Example 2:
Here are different fractions equal to .
2.comparison and graduated half line
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, is closer to 0 than to
so
.
Example 2:
To compare and
, you can do one of the following:
3. take a fraction of a quantity
To take a fraction of a quantity is to multiply that fraction by that quantity.
Examples:
- Take
of 15 L, it is calculated
.
- To take
of 15 L is to calculate 2 times
of 15 L , that is
.
Did you get the hang of that fractions course?
QCM sur les fractions en 6ème.
Skills to learn about fractions:
- 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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