Fractions Grade 8 Readiness Quiz Important Language Fraction

Fractions Grade 8

Readiness Quiz!!

Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals The following terms are going to be seen throughout this topic. Copy the words in your notebooks being sure to get to correct spelling… you never know when there will be a spelling quiz! Product Improper Factor Quotient Proper Fraction Divisor Equivalent Dividend reciprocal Fractal Mixed number Iteration

What is a Fraction? ? Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Fractions are used to describe parts of a whole. The numerator, top number, shows how many parts are required The denominator, shows how many parts the whole number was divided into.

What is a Fraction? ? Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Proper fractions occur when the numerator is smaller than the denominator Improper fractions occur when the numerator is larger than the denominator Mixed numbers (or mixed numerals) are another way of writing an improper fraction. Mixed numbers have a whole number in front of a proper fraction

Converting Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals In order to convert an improper fraction to a mixed fraction we need to do the following steps: 1. See how many times the denominator goes into the numerator evenly. Write that number as a whole number 2. Determine what the remainder is from the numerator. Write that as a new numerator, beside the whole number 3. The denominator stays the same. Example: Convert to a mixed numeral

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Converting Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals In order to convert mixed number to an improper fraction we have to do the following steps: 1. Multiply the denominator by the whole number 2. Add the numerator. Write this sum as a new numerator 3. The denominator stays the same. Example: Convert to an improper fraction

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Equivalent Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Equivalent fractions are two fractions that, when simplified to lowest terms, equal the same thing. Equivalent fractions are found by multiplying the numerator and denominator by the same number, as long as that number is not zero. Example: Write another fraction that is equivalent to

Equivalent Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Adding Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals When adding fractions, we need to make sure that we have common denominators. Common denominators occur when the denominator of two or more fractions is the same number. We can achieve this by finding equivalent fractions that have the same denominator Once we have common denominators, we add the numerators. Example:

Adding Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals When adding mixed numbers we should first change them to improper fractions, then find common denominators and add the numerators. Example:

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Practice Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Subtracting Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Subtracting fractions requires common denominators as well. This time, once we have common denominators we subtract the numerators. Example:

Multiplying Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals When multiplying fractions, we DO NOT need to worry about finding common denominators. Follow these steps for multiplying fractions: 1. Check if there any common factors in one numerator and one denominator – it does not have to be from the same fraction 2. Cancel by dividing by the highest common factor 3. Multiply the numerator 4. Multiply the denominator

Multiplying Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Multiplying Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Example:

Multiplying Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals When given a mixed number, you must change it to an improper fraction first, then apply the steps Example:

Multiplying Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Dividing Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Similarly to with multiplying fractions, we DO NOT need to have common denominators to divide. Follow these steps for dividing fractions: 1. Find the reciprocal of the fraction that comes AFTER the division symbol. The reciprocal means that we flip the numerator and denominator 2. Change the division symbol to a multiplication symbol 3. Multiply like normal – cancel any common factors and multiply numerator by numerator and denominator by denominator

Dividing Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Example:

Dividing Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Example:

Dividing Fractions Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals When given a mixed number, you must change it to an improper fraction first, then apply the steps Example:

Fractals Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals are seen naturally, in nature, along with in mathematical sets that use geometrical figures. They are used for modelling structures and phenomena such as snowflakes, crystal growth, or galaxy formation. They are formed by repeating a pattern a number of times. Each time the change occurs, the pattern gets more and more intricate. Each new stage is called an iteration.

Fractals Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals

Sierpinski Triangle Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals We are going to look at the Sierpinski Triangle. It is an iteration that uses repeating triangles. They change in the same way every time. How is the image changing with each iteration?

Sierpinski Triangle Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals The Sierpinski Triangle starts with one solid triangle.

st 1 Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Sierpinski Triangle – Iteration The first iteration, or stage, changes in this way. What fraction of this shape is shaded in?

Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Sierpinski Triangle – Iteration The second iteration looks like this: nd 2 Has it changed in the same way? What fraction is shaded now?

Important Language Fraction Review Multiplying Fractions Dividing Fractions Fractals Sierpinski Triangle – Iteration The third iteration looks like this: rd 3 Has it changed in the same way? What fraction is shaded now?