### Planning and Activities

**Day 1**

Show how *n* can be used to stand for the width of a garden in order to calculate different areas of turf.** Group Activities: T with Y6**

Y5 -- Begin to identify rules for function machines. Or, write and use formulae to calculate ages.

Y6 -- Write formulae for questions. Or, play ‘Guardians of the rule’ as a group (a game to deduce 2-step rules).

**Day 2**

Write 25 + *a* = 30 and sketch a bar model to show this. Calculate what *a* represents. Repeat with similar equations.

**Further Teaching with Y6**

Write *a* + *b* = 10, explaining that a and b are two new mystery numbers. List possible whole answers. Repeat with similar equations.

**Group Activities: T with Y6**

Y5 -- Deduce the numbers represented by letters in a multiplication grid. Or, solve equations with missing numbers, and write similar equations.

Y6 -- Solve a series of equations by finding successive unknowns. Or, find pairs of numbers which satisfy two equations with two unknowns.

**Day 3**

Display 2, 4, 6, 8 .... Show how we can use the relationship between the number of the term and its value in the sequence, i.e. each value is 2 times the term number. Calculate the 10th term and the 100th term. Repeat with other linear sequences, recognising the times table they are based on. Describe an *n*th term for each sequence algebraically.

**Group Activities: T with Y6**

Y5 -- Identify steps and missing numbers in sequences.

Identify step increase or decrease, including sequences which pass through zero, or with decimal steps.

Y6 -- Find the 10th term, 100th term, then *n*th term in linear sequences. Or, create linear sequences based on 10*n*, writing an expression for the *n*th term.

**Day 4**

Make a sequence of shapes from multilink (see download); use these to generate a linear numerical sequence. Find the value of the 10th term; describe what is happening in words, then write an algebraic expression or general rule for the *n*th term.

**Group Activities: T with Y5**

*Use the in-depth problem-solving investigation ‘Stars and Crosses’ as today’s group activity.*

Or, use these activities:

Y5 -- Investigation of a pattern of shapes: identifying/describing shapes further in the sequence without making all the shapes up to that point.

Y6 -- Investigation of a pattern of shapes: identifying/describing the 10th and nth terms.