What comes next?
We’ve been given a pattern made up
of three different squares. To help us complete the pattern,
first, we need to look closely. What do you notice about this
pattern? Well, the first square has been
divided into four equal parts. And all four parts have been shaded
gray. If we look at the second square in
the sequence, what’s changed? Well, we’ve still got a square
which has been divided into four equal parts. But this time only three parts have
been shaded gray. If we look at the third square in
the sequence, we can see that this square only has two parts shaded gray. So it looks like the number of
shaded parts is decreasing.
We can think of the shaded parts as
triangles. The first square has four shaded
triangles. Then we’ve got three, then two. So the next square in the sequence
should have one shaded part or one triangle shaded.
Which of our shaded triangles
should we delete? Let’s look more closely. This was our first square, and this
is the first triangle which was erased or not shaded, on the left-hand side. This was the second triangle to be
erased or not shaded. Which triangle should we delete
next? It will be this one. This is the square that comes
next. We looked closely at the pattern to
see what we noticed, we worked out what changed each time, and we completed the
pattern using this square.