Interactive Maths Links for the Australian Curriculum
Fractions and Decimals 1
CONTENT
Students:
Investigate equivalent fractions used in contexts (ACMNA077)
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model, compare and represent fractions with denominators of 2, 4 and 8; 3 and 6; and 5, 10 and 100
Fractions of Numbers
Comparing Fractions
Fraction Machine
• model, compare and represent the equivalence of fractions with related denominators by redividing the whole, using concrete materials, diagrams and number lines,
Eg
Equivalent Fractions Game
Use the Random Button
to compare Equivalence
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record equivalent fractions using diagrams and numerals, eg 3/5 = 6/10
Equivalent Fractions Game
Use the Random Button
to compare Equivalence
Recognise that the place value system can be extended to tenths and hundredths, and make connections between fractions and decimal notation (ACMNA079)
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recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals, eg 0.1 is the same as 1/10
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investigate equivalences using various methods, eg use a number line or a calculator to show that ½ is the same as 0.5 and 5/10 (Communicating, Reasoning)
Tenths, Hundredths
Equivalent Decimals and Fractions
Fraction Machine
OUTCOMES
A student:
› uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA2-1WM
› checks the accuracy of a statement and explains the reasoning used MA2-3WM
› represents, models and compares commonly used fractions and decimals MA2-7NA
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identify and interpret the everyday use of fractions and decimals, such as those in advertisements (Communicating, Problem Solving)
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state the place value of digits in decimal numbers of up to two decimal places
Create Decimal Numbers
Sequence Decimals
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use place value to partition decimals of up to two decimal places, eg
Create Decimal Numbers
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partition decimals of up to two decimal places in non-standard forms, eg
apply knowledge of hundredths to represent amounts of money in decimal form, eg five dollars and 35 cents is, which is the same as $5.35 (Communicating)
2 Step Money Problems L4-6 (Choose $)
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model, compare and represent decimals of up to two decimal places
apply knowledge of decimals to record measurements, eg 123 cm = 1.23 m (Communicating)
Measuring Length in cm
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interpret zero digit(s) at the end of a decimal, eg 0.70 has the same value as 0.7, 3.00 and 3.0 have the same value as 3 (Communicating)
Tenths, Hundredths
Create Decimal Numbers
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recognise that amounts of money are written with two decimal places, eg $4.30 is not written as $4.3 (Communicating)
Give Change or Add/ Remove
Change Maker
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use one of the symbols for dollars ($) and cents (c) correctly when expressing amounts of money, ie $5.67 and 567c are correct, but $5.67c is not (Communicating)
Money Word Problems
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use a calculator to create patterns involving decimal numbers, eg 1 ÷ 10, 2 ÷ 10, 3 ÷ 10 (Communicating)
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place decimals of up to two decimal places on a number line, eg place 0.5, 0.25 and 0.75 on a number line
Ordering Decimals
Order decimals fractions percentages
Sequence Decimals
• round a number with one or two decimal places to the nearest whole number
Rounding Decimals game
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