Year 9 Autumn Term Learning Objectives
Algebra 10
Number 18
What all should know
Order decimals.
Add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction answers); multiply and divide an integer by a fraction.
Interpret percentage as the operator so many hundredths of; express one given number as a percentage of another.
Reduce a ratio to its simplest form, including a ratio expressed in different units; divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio and direct proportion.
What most should know
Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.
Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes.
Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.
Understand the effects of multiplying and dividing by numbers between 0 and 1; use the laws of arithmetic and inverse operations.
Understand the order of precedence and effect of powers.
What some should know
Understand and use proportionality and calculate the result of any proportional change using only multiplicative methods; understand the implications of enlargement for area and volume.
Recognise and use reciprocals.
Generate and describe integer sequences.
Express simple functions in symbols; represent mappings expressed algebraically.
Plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT.
Generate terms of a sequence using term-to-term and position-to-term definitions of the sequence, on paper and using ICT.
Generate sequences from practical contexts and write an expression to describe the nth term of an arithmetic sequence.
Find the inverse of a linear function.
Construct functions arising from real-life problems and plot their corresponding graphs.
Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to gain a different perspective on the problem.
Find the next term and the nth term of quadratic sequences and functions and explore their properties.
Deduce properties of the sequences of triangular and square numbers from spatial patterns.
Plot the graph of the inverse of a linear function; know simple properties of quadratic functions.