Improper fractions and mixed numbers

Learning Goals LG: Students will be able to relate improper fractions to mixed numbers and mixed numbers to improper fractions Kid Friendly: Show that you can change improper fractions to mixed numbers and vice versa

In your own words… What does the bottom number in a fraction tell us? What does the top number in a fraction tell us?

In my words The top number counts The bottom number tells what is being counted

definitions It is “top heavy” 7 4 Ex: 4/3, 11/4, 7/7 Improper Fraction: has a top number larger than (or equal to) the bottom number It is “top heavy” 7 4 Ex: 4/3, 11/4, 7/7 How will you remember the definition?

= 1 Mixed numbers Definition: A whole number AND a fraction together You can use either an improper fraction or a mixed fraction to show the same amount. Definition: A whole number AND a fraction together Examples: 1 1/3 2 ¼ 16 2/5 = 1 _3_ 4 7 4 How you will remember the definition?

manipulatives Drawing Mixed Number Improper Fraction Experiment and document different mixed numbers and their improper fractions. Draw the objects and record their mixed number and improper fraction. You must include an example with money, with shapes, and with grids. Drawing Mixed Number Improper Fraction

How…? Can you turn one into the other? Can you see a way to change a mixed number to an improper fraction? Or vice versa? Will that strategy work every time?

Three types of fractions

Numerator and denominator A Fraction (such as 7/4) has two numbers: Numerator and Denominator The top number is the Numerator, it is the number of parts you have. The bottom number is the Denominator, it is the number of parts the whole is divided into. Example: 7/4 means: We have 7 parts Each part is a quarter (1/4) of a whole