Concepts in Fractions

• Know the timetable
• Divisors and multiples
• Number sense

• Fraction: parts of a whole.
• Numerator
• Denominator
• Whole fraction:
• Like fractions:
• Unlike fractions:
• Proper fraction:
• Improper fraction:

Concepts

1. Identify like fractions and unlike fractions
2. Identify fractions and whole fractions
3. Identify proper and improper fractions

Communications

Visualize
Equivalent fractions

Communications

1. Describe the process of simplifying a fraction
2. Grade 5 Spectrum page 6

Concepts

1. Simplify whole fractions
2. Simplify half fractions
3. Simplify any fraction

Expectations

• Be able to simlify fractions

Visualize
Practice

Communications

1. How to compare fractions
2. The cross muiltiplication method

Concepts

1. Compare like fractions
2. Compare unlike fractions
3. Compare fractions using different methods
   • Finding the common denominator method
   • Cross multiplication method

Expectations

• Be able to compare fractions

Communications

• Like fractions: fractions that have the same denominator
  For example: $\frac{1}{2}$ and $\frac{3}{2}$ are like fractions
• Unlike fractions: fractions that do not have the same demoninitor
  For example: $\frac{1}{2}$ and $\frac{5}{3}$ are unlike fractions

Rule for adding fractions:

1. Only (like) fractions with the same denominator can be added.
2. To add two fractions with different denominators
   1. Convert the fractions to the same denominator
   2. Add the like fractions
   3. Therefore: we should know how to convert fractions to the same denominator before attempting to add them

Concepts

1. Add like fractions
2. Add a whole number and a fraction
   Examples
   • $\frac{5}{2}$ + 1
     First, convert the whole number 1 to $\frac{2}{2}$ so that we have like fractions
     Next, we add $\frac{5}{2}$ + $\frac{2}{2}$ to get $\frac{7}{2}$
   • $\frac{5}{2}$ + 2
     First, convert the whole number 2 to $\frac{4}{2}$ so that we have like fractions
     Next, we add $\frac{5}{2}$ + $\frac{4}{2}$ to get $\frac{9}{2}$
   • $\frac{5}{2}$ + 3
     First, convert the whole number 3 to $\frac{6}{2}$ so that we have like fractions
     Next, we add $\frac{5}{2}$ + $\frac{6}{2}$ to get $\frac{11}{2}$
3. Add unlike fractions
4. Add fractions fractions and whole numbers

Expectations

• Be able to add fractions
• Be able to add fractions and whole numbers

Communications

1. Only fractions with the same denominator can be subtracted from each other.
2. To subtract two fractions with different denominators
   1. Convert the fractions to the same denominator
   2. Subtract like fractions

Concepts

1. Subtract like fractions
2. Subtract unlike fractions
3. Subtract a fraction from a whole number
4. Subtract a whole number from a fraction

Expectations

• Be able to subtract fractions
• Be able to subtract a fraction from a whole number
• Be able to subtract a whole number from a fraction

Communications

1. Understading mixed numbers

Concepts

1. Identify mixed numbers
2. Convert mixed number to an improper fraction
3. Convert an improper fraction to a mixed number
4. Adding a mixed number and a whole number
5. Adding a mixed number and a fraction
6. Adding a two mixed numbers
7. Subtracting a whole number and a mixed number

Expectations

• Solid understanding of mixed numbers
• Be able to perform operations on mixed numbers

Communications

Concepts

Expectations