Thursday, January 24, 2013

Fractions, decimals and percentage


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




No comments:

Post a Comment