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Fractions, Operations with Fractions, and Ratios

Demonstrate understanding of fractions as part-whole relationships The denominator shows the number of equal parts in the whole and the numerator shows how many of those parts are included in the particular fraction
As multiples of unit fractions A unit fraction is a fraction with a numerator of 1. You can write a fraction as the product of a whole number and a unit fraction.
multiples of numbers Are numbers that you would get by multiplying.
multiples as ratios A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six
Demonstrates understanding of characters of fractions that are less than one Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator.
Demonstrates understanding of characters of fractions that is equal to one 4/4 =1 1/1 =1 8/8 =1 Fractions similar to these equal to one.
Demonstrates understanding of characters of fractions that are greater than one Improper fractions are fractions in which numerator is greater than the denominator. There is a mixed number representation for each and every improper fraction.
Demonstrates understanding of equipartitioning and that it is a building block for understanding fractions as part-whole relationships Equal partitioning
Demonstrates understanding of fraction equivalence are different fractions that name the same number.
Uses a variety of strategies for comparing fractions If two fractions have equivalent denominators, then compare the numerators to determine which faction is greater
addition with fractions Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator. Step 3: Simplify the fraction (if needed
subtraction with fractions Step 1:Make sure the bottom numbers (the denominators) are the same. Step: 2:Subtract the top numbers (the numerators). Put the answer over the same denominator. Step 3:Simplify the fraction (if needed)
multiplication with fractions Step 1 1;Simplify the fractions if not in lowest terms. Step 2:Multiply the numerators of the fractions to get the new numerator. Step 3:Multiply the denominators of the fractions to get the new denominator.
division with fractions Step 1: divide fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Step 2: multiply the two numerators. Step 3: multiply the two denominators Hint: KEEP! CHANGE! FLIP!
recognizing that multiplying a whole number by a fraction that is less than one makes a product smaller Multiplying any number by a fraction less than one produces a product less than the number;
Demonstarates understanding of appplications of operations on fractions Step 1:To add (or subtract) two fractions : Step 2:To multiply two fractions: Step 2:To divide by a fraction, multiply by its reciprocal
reciprocal 4/3=3/4=1
Created by: EstherMartinCobb