Algebra 3
All should be able to
Recognise multiples up to 10 10; know and apply simple tests of divisibility.
Identify factors of two-digit numbers. Use a calculator to square numbers. Recognise and extend number sequences.
Read and plot coordinates in the first quadrant. Represent and interpret data in a graph (e.g. for a multiplication table).
Solve mathematical problems, explaining patterns and relationships.
Most should be able to
Recognise and use multiples, factors (divisors), common factor and primes (less than 100); use simple tests of divisibility.
Recognise the first few triangular numbers, squares of numbers to at least 12 12, and the corresponding roots.
Use the square root key. Generate terms of a simple sequence, given a rule (e.g. finding a term from the previous term, finding a term given its position in the sequence). Generate sequences from practical contexts and describe the general term in simple cases. Express simple functions in words, then using symbols; represent them in mappings. Generate coordinate pairs that satisfy a simple linear rule; plot the graphs of simple linear functions, where y is given explicitly in terms of x, on paper and using ICT; recognise straight-line graphs parallel to the x-axis or y-axis. Solve word problems and investigate in a range of contexts: number and algebra. Identify the necessary information to solve a problem; represent problems mathematically, making correct use of symbols, words, diagrams, tables and graphs.
Some should be able to
Find the prime factor decomposition of a number. Use squares, and positive and negative square roots.
Use the function keys for sign change, powers and roots. Generate terms of a linear sequence using term-to-term and position-to-term definitions, on paper and using a spreadsheet or graphical calculator. Begin to use linear expressions to describe the nth term of an arithmetic sequence.
Express simple functions in symbols; represent mappings expressed algebraically. Generate points in all four quadrants and plot the graphs of linear functions; recognise that equations of the form y = mx + c correspond to straight-line graphs. Solve more complex problems by breaking them into smaller steps. Represent problems and interpret solutions in algebraic or graphical form, using correct notation.
