ETL203 week 7

Developing fractional reasoning

Fractions (decimals) are numbers

Area models for understanding...

• Equivalent fractions• Improper fractions and mixed numbers• Addition and subtraction of fractions

Length models for understanding…• Fractions as numbers• Ordering fractions• Improper fractions and mixed numbers• Equivalent fractions• Addition and subtraction of fractions

Quotient models for understanding…•Converting fractions to decimals,

particularly when the denominator is not a factor of 10, 100 etc.

Note that all fractions result in either terminating or recurring decimals.

•Multiplying and dividing fractions

Ratio models for understanding…• Fractions as operators• The idea of a reciprocal• Percentages • The rule of constant ratio

Rule of constant ratio(equivalent fractions)

• The numerator and denominator of a ratio can be multiplied or divided by the same number without changing the value of the ratio.

The Web sites

• Pattern blocks http://matti.usu.edu/nlvm/nav/frames_asid_171_g_3_t_2.html