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.

Core:

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.

Extension:

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.

## Objectives:

Support:interpret data in a graph(e.g. for a multiplication table).Core:plot the graphs of simple linear functions,whereyis given explicitly in terms ofx, on paper and using ICT; recognise straight-line graphs parallel to thex-axis ory-axis.Solve word problems and investigate in a range of contexts:number and algebra.Extension:nth term of an arithmetic sequence.plot the graphs of linear functions;recognise that equations of the form

y=mx+ccorrespond to straight-line graphs.Represent problems and interpret solutions in algebraic or graphical form,using correct notation.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT

CORE## Framework:

## Teaching & Learning Resources:

Multiples Resources

Factors Resources

Powers Resources

PFD Resources

Calculator Resources

Sequences Resources

Linear Sequences Resources

nth Term Resources

Coordinates Resources

y=mx c Resources