and describe sequences
of one of the number grids.
the missing numbers in number grids. Click on the grid to hide or
show the numbers.
on this button to hide or show all the numbers in the grid
1: part of a standard 1 to 100 number grid
the sequences go up or down in regular amounts from 1 to 10.
Pascal's triangle on a Christmas tree. Use the sliders to change the
number in the star and the multiples coloured. Use this button to
show different 'star' numbers and different multiples.
expressions, nth term and functions
of one of the four algebra screens.
algebra resources in one
four buttons to select one of the four resources:
1. Algebraic expressions 2. Rules for input and output
3. Rules for sequences 4. Function machines
Solutions can be shown or hidden by clicking in the tables or alongside
the nth term of a sequence
a simple rule for the nth
term of simple sequences.
Fill in the missing
terms of a sequence. Equal amounts are added or subtracted
in each sequence.
linear expressions to describe the nth
term of arithmetic sequences.
Find the nth
term of any arithmetic sequence.
Shirt sequences generator: interactive
generates sequences of different coloured football shirts. What number
is on the back of the 50th shirt..100th shirt?
Press the play button to move up the sequence, press the back button
to move down. Tip: keep your eye on one of the shirts. Press the buttons
quickly or keep your finger on the 'right' or 'left' arrow keys to
speed up the sequence. -99 is the lowest number on a shirt and 999
is the highest.
Shirt Sequences one-player game: interactive
What colour is the shirt with 100 on the back? Choose from four
colours. Answer 10 questions (the questions are the same each time).
wants to be a Millionaire?' two-team sequences games
colour is the shirt with 33 on the back? Choose from five colours.
Money is won the same way as the TV programme 'Who Wants to be a Millionaire?'.
Choose to have either one or two shirt sequences on the screen (click
the '1' and '2' buttons). The game could be played by two teams with
one person from each team being close to the whiteboard to select
the colour of shirt. Each shirt sequence panel can be dragged to the
left or right to make it easier for pupils to access the buttons from
either side of the whiteboard.
K7: Play the
Scottish teams version
K8: Play Shape Sequences
same instructions as 'Shirt Sequences'.
Shape sequences questions:
what shape is the 33rd in a sequence of shapes? Click on the question
mark to reveal the answer.
of one of the number sequences
sequences made from counters
K10: Four different number sequences
The rule for each number sequence can be explained by look at how the
counters are arranged. Click in the table to reveal hidden terms of
repeating pattern is made from squares and circles. How many squares
will there be with 17 circles? How many circles with 20 squares?
Use the slider to determine the number of squares.
K13: Pattern 1
K14: Pattern 2
is made from posts and bars. How many bars will there be with 20 posts?
Fence 1 (two bars between each
pair of posts).
K16: Fence 2
(three bars between each pair of posts).
of a number n. Click on the 'Think of a number button': enter
the number, press
Click on the blue function buttons to perform operations on n.
Click on the yellow and pink buttons to reveal the numbers and algebraic
K17: Algebraic expressions
Algebraic expressions 2
Same idea as above but the functions are random. Hide or show
the description of the function, the numbers or the expressions. Click
on the 'change' button.
problems involving functions
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
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
Example of investigation 1
of investigation 2
Interactive resource : change
the first two numbers in the sequence, can you predict the 5th number?
.. the 6th number. Reveal the 6th number and watch how it changes
as the first number changes. What does it go up in? Change the second
number, what happens to the 6th number? Click in the cells to hide
or show the numbers.
out what number will be at a particular place in a grid. For example
which number is in column 20, row 8? Click on the cells to reveal
Investigation 1 :
The numbers start from the bottom of each column. See example on left.
2 : The numbers zig-zag.
Ten numbers are in a sequence,
two of them are revealed. What are the missing numbers?
The same amount is added each time.
of linear functions: y = mx + c graphs
shows the red graph has been labelled. Drag the label about. The coordinates
y = mx + c graph generator
you are using Internet Explorer or Firefox press F11 to view the
the type of graph to be generated:
Top left: lines with the same gradient.
Top right: lines which cut through the y-axis at the same point.
Second row: plot graphs with positive gradients.
Third row: plot graphs with negative gradients.
row: plot graphs of x = c and y = c.
the blue or red graph.
Reveal or hide the coordinates
Reveal or hide the lines which touch the axes.
Click in the blue box above the table to reveal the equation of
the line. This can then be dragged about.
Click on the x and y to reveal or hide the x and y
values. Click in a cell of the table to reveal or hide individual
More y = mx + c graphs
the hands around to change the graphs. The equation labels can also
Use these buttons to turn features on or off, from the left:
the hands, the coordinates, the equations, select one or two graphs.
y=mx+c graph generators Just
click on the change button. Click in the blue box to reveal the equation.
K36: Two points on the line shown
Which two points are on the line?
are shown, which two points lie on the line?
Click on the rectangle underneath the 'change' button to show the
two points and the line.
> mx + c or y < mx + c
buttons to hide or show the regions.
Use the sliders to generate the graphs.
the 1 button to hide one of the graphs. Click on the 2
button to show both graphs.
The gradient of a straight line
two points about. The red triangle, coordinates and changes in x and
y can be shown or hidden by clciking on the buttons.
the other panel to show or hide the gradient.
of linear functions arising from real-life situations
of a distance-time graph.
A section of a timetable.
Distance-time graph and train timetable
If you are using Internet Explorer press F11 to view the resource full-screen.
A seaside train travels along the promenade from the tower to the
The train's timetable can be displayed and a distance-time graph is
drawn as the train moves.
The timetable shows the 24 hour arrival and departure times of the train.
The graph shows the time and distance, in miles, from the tower. Click
on the 'go' button to start the journey.
on the 'go' button to start the journey.
left: show or hide the timetable.
Top middle: Show or hide the times in the timetable: click in the
timetable to show or hide individual times.
Top right: show or hide the graph.
Bottom left: replay the journey showing the graph generated.
Bottom middle: replay the journey showing the graph already generated.
Bottom right: zoom in or out of the graph ( the graph can be dragged
left or right).
if you have subscribed to Active Worksheets.
Conversion graphs (best viewed in
full-screen mode, press F11)
This conversion graph resource will generate the following graphs:
metres-feet and inches
kg-pounds and ounces
kg-stones and pounds
£ - € euros
£ - $ US
- Japanese Yen
£ - South Korean Won
Use the slider to change the rate of exchange.
on the line to show the values at that point.
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