# Constant Counting

## Problem

You can make a calculator count for you by pressing the keys

$1 + = = $

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12$

To make it count by twos, press $2 + = = $

**$2, 4, 6, 8, 10,
12$**

You can make it count by any number you choose.

Now the question:

You can count by ones to reach $24$.

You can count by twos to reach $24$.

What else can you count by to reach $24$?

## Getting Started

What else could you try?

How will you remember what you've found out?

## Student Solutions

Skip counting or counting by the same number each time is ways
to describe constant counting. This is what happens when you recite
the multiplication tables. Work partners **Joanne** and **Holly,** and **Steve** and **Matt** from Moorefield Junior School,
found that to reach 24 they could count by skipping 1s, 2s, 3s, 4s,
6s, 8s, 12s or 24s to reach 24, the target number. 24 is an answer
in each one of those multiplication tables.

**David**, who is
studying at De Aston School, gives us this example:

24 = 1 x 24

24 = 2 x 12

24 = 3 x 8

24 = 4 x 6

Several people did not mention counting by one or by two; perhaps they thought that was too obvious. Others found some of the different ways to skip count to reach 24 but did not list all of the possible ways.