Checking and securing understanding of plotting coordinates generated from a rule | Maths

Starter quiz

Which of these words describes the sequence $11,15,19,23, ...$ ?

linear ✓

quadratic

arithmetic ✓

geometric

counting
What are the first three terms of the arithmetic sequence $10n−2$ ?

$8,6,4$

$10,8,6$

$8,18,28$ ✓

$12,22,32$

$−2,8,18$
Match the verbal description to the $n^{\text{th}}$ term expression.

$3n$

⇔

Multiply $n$ by $3$ ✓

$3n+5$

⇔

Multiply $n$ by $3$ and add $5$ ✓

$5n+3$

⇔

Multiply $n$ by $5$ and add $3$ ✓

$5(n+3)$

⇔

Add $3$ to $n$ and then multiply $5$ . ✓

$n+3$

⇔

Add $3$ to $n$ ✓
Match the point to its coordinate pair.

A

⇔

$(2, 4)$ ✓

B

⇔

$(3, 3)$ ✓

C

⇔

$(4, 2)$ ✓

D

⇔

$(5, 1)$ ✓
Which of these coordinates fits the rule $y=7−2x$ ?

$(0, 7)$ ✓

$(7, 2)$

$(7, 0)$

$(1, 5)$ ✓

$(2, 7)$
Which rule links $n$ to $T$ in this arithmetic sequence?

$4n$

$n+4$

$1+4n$

$4n−3$ ✓

$n\times4 + 1$

This table of values tells us the ______ to plot the relationship $y=3x+4$ .

'coordinates' ✓
What is wrong with this plotting of the arithmetic sequence $2n−1$ ?

The coordinates are wrong.

The line should extend to the edges of the grid.

There shouldn't be a line through the points. ✓

The points should not line up.

You need more than $5$ term numbers.
Which of these arithmetic sequences could this graph represent?

$17−5n$ ✓

$5n−17$

$n−17$

$5−n$

$5−17n$
What are the two missing $y$ coordinate values for this linear rule?

$−1$ ✓

$−4$

$−5$

$−6$ ✓

$−9$
This is a table of values for a linear rule but there is an error. Which value is the error?

$y=26$

$y=19$

$y=5$

$y=−3$ ✓

$y=−16$
For the linear rule $y=13−2x$ what is the $y$ coordinate when $x=−5$ ?

$23$ ✓

$18$

$11$

$8$

$3$

Loading worksheet ...

Loading presentation ...

The plotted points of an arithmetic sequence form a line so we draw a line connecting them.

Sequences are an ordered list and do not always need to follow a rule, so we often only find and use the positive integer term numbers.

Arithmetic (linear) sequence - A sequence where the difference between successive terms is a constant.