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Grade 7:  The Learning Equation Math

11.05 Fraction Conversion

Number Concepts

Refresher pp 10-11
Learning Outcomes:

The student will:

Cuisenaire rods and pattern blocks helps one visualize equivalent fractions.   Check out the following links:

http://teachertech.rice.edu/Participants/silha/Lessons/equivalent.html

Integer Bars (Cusenaire Rods): Learning Fractions

Pattern Blocks: Exploring Fractions with Shapes

 

 

 

Review

Fraction Man

FUNBRAIN - Fresh Baked Fractions

Learning Planet - Fraction Frenzy

Quia! Matching Fractions

Quia! Equivalent Fractions

Concept/Activity Example(s) Explanation/General Case
fraction ("part")

1/2, 1/3, 2/3, 7/9,

5/4, 1 1/2, 3 1/4

 means "part" of a whole

What is Fraction - Practice Game
fraction diagram  
         

blue portion = 3/5

 3 parts out of 5 total pieces are blue.
numerator
3
5
 The top number in a fracton is the numerator and represents the number of pieces being considered.
denominator The bottom number in a fraction is the denominator and represents the total pieces in one whole.
proper fraction 1/2, 1/3, 2/3, 1/4, 2/4, 3/4, 6/9 the numerator (top) is smaller than the denominator (bottom).
improper fraction 3/3, 4/3, 5/4, 12/7 the numerator (top) is greater than or equal to the denominator (bottom).
mixed number 1 1/2, 3 1/4, 5 3/7 natural number (1, 2, 3, ...) and proper fraction combined
basic fraction 1/2, 1/3, 2/3, 7/9 a fraction reduced to lowest terms.  The greatest common factor (GCF) of the numerator and denominator is one.
reducing to lowest terms 12/18 = 6/9 = 2/3

15/20 = 3/4

1 5/10 = 1 1/2

 divide numerator and denominator by the same number until the GCF is one.
equivalent fractions 2/3 = 4/6 = 6/9 = 8/12 two or more fractions with the same basic fraction

2/3 = 4/6

2 x 6 = 3 x 4

 two fractions with equal cross products

Equivalent Fractions Game
converting a mixed number to an improper fraction

1 2/3 = (1 x 3 + 2)/3 = 5/3
(natural number x denominator + numerator)
denominator

or

(side x bottom + top)
bottom
converting an improper fractions to a mixed number 7/4 = 1 3/4 Divide numerator by the denominator to get the natural number.  The remainder of the quotient is placed above the denominator.
 
 

Enrichment:

 

fraction, improper fraction, mixed number, equivalent, simplest terms.

Prerequisite Skills:

 

Least Common Multiple (LCM) Calculator

Greatest Common Divisor (GCD) corresponds to Greatest Common Factor (GCF)

 

source:  common.java

What Fraction of the Circle is Shaded Red? - reduce to lowest terms

Reducing Exercise

Algebra.help -- Fraction Simplifier

What Fraction of the Circle is Shaded Red? - reduce to lowest terms

Identify Circles

What is Fraction - Practice Game

Proper Fraction Generator

Proper fractions have a denominator that is greater than the numerator. Click on the grey/reed pieces to add/subract pieces!!

 

 

 

 

Indentify Mixed Numbers with Circles

Indentify Mixed Numbers with Lines

Fraction Basics

 
 

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