Over the next six weeks we will be forcusing on fractions, decimals and percentages. WE will go into such things as comparing like decimals, fractions and percentages; subtracting and adding decimals as well as fractions; appling decimals, fractions and percentages to real life situations. This unit ties in very well with our new Inquiry unit in How we express ourselves, where we are focusing on marketing and advertising. Below is part of the scope and sequance from the IB's maths strand that we will be mostly focusing on.
Number
Our number system is
a language for describing quantities and the relationships between quantities.
For example, the value
attributed to a digit depends on its place within a base system. Numbers are used to
interpret information, make decisions and solve problems. For example, the
operations of addition,
subtraction, multiplication and division are related to one another and are
used to process information in order
to solve problems. The degree of precision needed in calculating depends on how
the result
will be used.
Phase 3
Learners will analyse
patterns and identify rules for patterns, developing the understanding that
functions describe the relationship or rules that uniquely associate members of
one set with members of another set. They will understand the inverse
relationship between multiplication and division, and the associative and
commutative properties of multiplication. They will be able to use their
understanding of pattern and function to represent and make sense of real-life
situations and, where appropriate, to solve problems involving the four
operations.
Phase 4
Learners
will understand that the base 10 place value system extends infinitely in two
directions and will be able to model, compare, read, write and order numbers to
millions or beyond, as well as model integers. They will develop an
understanding of ratios. They will understand that fractions, decimals and
percentages are ways of representing whole-part relationships and will work
towards modelling, comparing, reading, writing, ordering and converting
fractions, decimals and percentages. They will use mental and written
strategies to solve problems involving whole numbers, fractions and decimals in
real-life situations, using a range of strategies to evaluate reasonableness of
answers.
When constructing
meaning learners:
• model numbers to thousands or
beyond using the base 10 place value
system
• model equivalent fractions
• use the language of fractions, for
example, numerator, denominator
• model decimal fractions to
hundredths or beyond
When constructing
meaning learners:
• model decimal fractions to
hundredths or beyond
• model addition and subtraction
of fractions with related
denominators
• model addition and subtraction of
decimals.
When transferring
meaning into
symbols learners:
• model decimal fractions to
hundredths or beyond
• read, write, compare and order
fractions
• read and write equivalent fractions
When applying with
understanding
learners:
• use decimal fractions in real-life
situations
• add and subtract fractions with
related denominators in real-life
situations
• add and subtract decimals in real-life
situations, including money
• simplify fractions in computation
answers