Year 5 Fractions & Decimals Review (Core Concepts (Subtraction of…
Year 5 Fractions & Decimals Review
2.1. Compare fractions with related denominators
With numberlines and diagrams. with numerals
3 and 6
5, 10, and 100
2, 4, and 8
2.2. Identify equivalent fractions
1.1. Draw attention to a mixed numbers whole number part and fractional part
1.2.Counting in fractions
1.3. recognise 2/2, 3/3 etc as 1
1.4. Compare unit fractions, recognising which is greater
3.1. Place value notation
Recognise fractions of 10 & 100 as decimals
Recognise the place value of digits in decimals numbers
Partition decimals of two decimals places
In standard form. (eg: 2.68 is equal to 2 + 6/10 + 8/100)
In non-standard forms (eg: 2.68 is equal to 2 + 68/100)
3.2. Recognise equivalencies across fractions and decimals. (eg: 3/4 is equal to 0.75 & 75/100)
3.4. Real life examples
Correct use of $ and cents symbols, and zero digits. (eg: $3.50 is correct, but $3.50c and $3.5 is not)
3.3. Recognise the impact of zero digits in decimals
in the 10ths column
in the 100ths column (at the end)
AUS Year 4 Curriculum Statements
Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)
converting mixed numbers to improper fractions and vice versa
investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations
Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)
using division by 10 to extend the place-value system
using knowledge of fractions to establish equivalences between fractions and decimal notation
Investigate equivalent fractions used in contexts (ACMNA077)
exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall
Subtraction of whole numbers
subtraction using amounts of an object
Explain subtraction as reverse addition. We are taking something away.
Subtraction on a numberline
subtraction using digits
Addition of whole numbers
On a number line, draw lines from one number to another.
Addition of Digits
Explain distances between numbers
Object oriented addition.
"If i have X many of a thing, then get Y more of that thing. How many things do i have?"
What are Fractions?
Use images to explain that a fraction is any part of a whole.
Use fractions to count equally sized parts of a whole.
Visualise what a written down fraction looks like as a section, and vice versa.
Draw attention to the sizes of numbers
Display numbers 10 and above
Use shapes to explain that one half is one of two equal parts of a whole.
Partition shapes and amounts of objects into halves
Explain fractions of 10 as decimals.
Explain fractions of 100 as decimals, and then place value system.
Recognise how to round to the nearest 10 & 5?
Use shapes to explain that one quarter is one of four equal parts of a whole. Touch briefly on the idea that a quarter is half of a half.
Partition shapes and amounts of objects into quarters.
Amounts of things.
"How many of X do i have?"
Place values (1s, 10s, 100s columns)
Describe two digit numbers as being amounts of 10s and 1s.
"X many tens and Y many ones makes XY"
Mention place values larger than 10.
Recognise place value columns and their values.
Division as grouping into equal sets
Use unit fractions to describe breaking up a whole in to equal parts.
Begin very basic integer division. 4/2, 6/2, 6/3 etc
Use objects to explain breaking up a large set into equally sized smaller sets.
Describe a Unit fraction as a singular element of multiple equal parts of a whole.
Compare sizes of different unit fractions.
Explain how coins/prices are real life decimals.
Explain the correct use of $ and cents symbols.
Draw attention to multiplication as multiple instances of addition.
Begin very basic integer multiplication. 2
3, 3*2 etc
Use objects to explain making a larger set out equally sized smaller sets
Parts of a whole
Use shapes to explain that one whole can be made up of parts, like a jigsaw.
Equal vs Unequal parts
AUS Year 1, 2, and 3 Curriculum Statements
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015)
developing a range of mental strategies for addition and subtraction problems
Recognise and describe one-half as one of two equal parts of a whole. (ACMNA016)
sharing a collection of readily available materials into two equal portions
splitting an object into two equal pieces and describing how the pieces are equal
Count collections to 100 by partitioning numbers using place value (ACMNA014)
understanding partitioning of numbers and the importance of grouping in tens
understanding two-digit numbers as comprised of tens and ones/units
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058)
partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
locating unit fractions on a number line
recognising that in English the term ‘one third’ is used (order: numerator, denominator) but that in other languages this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator) for example Japanese
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line (ACMNA013)
modelling numbers with a range of material and images
identifying numbers that are represented on a number line and placing numbers on a prepared number line
Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059)
recognising the relationship between dollars and cents, and that not all countries use these denominations and divisions (for example Japanese Yen)