Working with Percentages
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Fractions, Decimal and Percentage Conversions
Knowledge Activities
Raewyn Carman, Dianne Ogle Team Solutions, Tai Tokerau, FoE, University of Auckland
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011 2 Fraction, decimal, percentage conversion
Use the beadstring to fill in the gaps: 2/10 0.2 20/100 20%
3/10
3/10 + 5/100
40%
65/100
0.7
7/100
73%
9/10
0.06
120/100
1.5
125%
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011 3 Decimal Fraction Mat MM 4-21
Useful Questions
Can you show me one tenth? How do you know it’s one tenth? How do we write it as a decimal? How do you know that says one tenth?
Show me 0.3. Is it bigger than or smaller than one half? How much more to make one half, one whole? Show me 0.7. Is it bigger than or smaller than one half? How much more to make one half, one whole?
Can you show me one hundredth? How do you know it’s one hundredth? How do we write it as a decimal? How do you know that says one hundredth?
Show me three tenths and five hundredths. Is it bigger than or smaller than one half? How much more to make one half, one whole? How would we write it as a decimal? How do you know? Show me 0.72. Is it bigger than or smaller than one half? How much more to make one half, one whole? How would we write it as a fraction? How do you know?
Give the children plenty of similar examples. For example use decimal dice and get children to make what is rolled.
Order decimal fractions
Put these decimal fractions in order from smallest to largest. Think about what each one would look like on your decimal fraction mat. 0.4, 0.2, 0.8
Put these decimal fractions in order from smallest to largest. Think about what each one would look like on your decimal fraction mat. 0.3, 0.25, 0.67
Put these decimal fractions in order from smallest to largest. Think about what each one would look like on your decimal fraction mats. 1.75, 0.23, 3.05, 2.5
Give the children plenty of similar examples. For example use decimal dice and get children to make what is rolled.
Move into ordering decimal fractions that include thousandths
Can you show me one thousandth. How do you know it’s one thousandth? How would we write it as a decimal? How do you know that says one thousandth? How many more thousandths make one hundredth? How many more thousandths make one tenth?
Put these decimal fractions in order from smallest to largest. Think about what each one would look like on your decimal fraction mat. 0.364, 0.25, 0.009, 0.87, 0.4
Put these decimal fractions in order from smallest to largest. Think about what each one would look like on your decimal fraction mat. 1.305, 1.503, 1.5, 1.35, 1.035
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011 4 Fraction, decimal, percentage conversion
Use the 100 square to find the decimal and percentage to match the fraction
Fraction Hundredth Decimal Percentage Fraction Hundredth Decimal Percentage 1/10 1/100 1/5 5/100 1/4 1.0 1/8 20% 3/4 0.6 4/10 4/5 1/2 15/100 3/5 62.5% 1/3 Write two more of your own 2/3 4/5
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011 5
Source: Sandra Cathcart Secondary Numeracy Facilitator
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011 6 0.25 = 0.05 = 0.3 =
0.5 = 0.1 =
0.01 = 0.75 = 0.6 =
0.4 = 0.125 = 0.8 =
Raewyn Carman & Dianne Ogle, Team Solutions, Tai Tokerau, F o E, University of Auckland, 2011