Active Worksheets: sequences, functions and graphs

Home>Worksheets>Age 11-14 Algebra: Sequences, functions and graphs

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K: 1 2 3 8 17 19 20 21 28 31 32 33 37 38

Generate and describe sequences

An example of one of the number grids.

Year 7 (age 11-12)

Find the missing numbers in number grids.
K33a: Number grids 1: part of a standard 1 to 100 number grid

K33b: Number grids 2: the sequences go up or down in regular amounts from 1 to 10.

K37: Pascal's Christmas tree: Pascal's triangle on a Christmas tree. Slide the star across to change the number in the star. Colour in different multiples to discover the patterns.

Find the nth term of a sequence

Year 7 (age 11-12)

K1: Find a simple rule for the nth term of simple sequences.
K32: Fill in the missing terms of a sequence. Equal amounts are added or subtracted in each sequence.

K8: Shape sequences: what shape is the 33rd in a sequence of shapes?

Year 8 (age 12-13)

K2: Use linear expressions to describe the nth term of arithmetic sequences.

Year 9 (age 13-14)

K3: Find the nth term of any arithmetic sequence.

Word problems involving functions

Year 7 (age 11-12)

I think of a number, add 3.7, then multiply by 5. The answer is 22.5. What is the number?
K19: Using whole numbers
K20: Using numbers to one decimal place

A function machine changes the number n to the number 3n + 1.
What does it do to these numbers? 2, 5, 9, 21, 0
What numbers must be input to get these numbers? 10, 37, 100
K21: Function machine

Express simple functions in symbols

Year 8 (age 12-13)

I think of a number n. Write algebraic expressions.
K17: Functions

y=mx+c graphs

Years 8-10 (age 12-15)

Identify the equation of a graph from the gradient and where the line cuts the y-axis.
K31a: y=mx+c graphs 1

Identify the equation of a graph from two pairs of coordinates.
K31b: y=mx+c graphs 2

K38: Which two points are on the line?
Ten points are shown, which two points lie on the line?
Two options:
1. y = 2x +3
2 2x + 3y = 12

Plot the graphs of linear functions arising from real-life problems.

Years 7-9 (age 11-14)

K28 Worksheets to accompany the distance-time graph Whiteboard Worksheet.
Print using the landscape option.

K28a: Construct a distance-time graph from a timetable (no answrs).
Distance-time graph

K28b: A worksheet showing three distance-time axes

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