Equations

UK Secondary (7-11)

Backtracking

Lesson

Backtracking is a strategy that we use to go backwards, or undo operations. It is a particular strategy that is very useful for solving simple algebraic problems.

Firstly, let me show you how we use the template going forwards.

Now that you have seen how to move forwards through the template, let's see what happens when we go backwards.

See how stepping backwards through the template helps us to solve problems?

By following the operations given, complete the entries:

x $4$4 | + $1$1 | |||
---|---|---|---|---|

$8$8 | ⇒ | $\editable{}$ | ⇒ | $\editable{}$ |

By following the operations given, complete the entries:

- $1$1 | ÷ $8$8 | |||
---|---|---|---|---|

$41$41 | ⇒ | $\editable{}$ | ⇒ | $\editable{}$ |

By working backwards in single steps, complete the entries.

x $4$4 | - $1$1 | |||
---|---|---|---|---|

$\editable{}$ | ⇒ | $\editable{}$ | ⇒ | $31$31 |

By working backwards in single steps, complete the entries.

÷ $4$4 | - $1$1 | |||
---|---|---|---|---|

$\editable{}$ | ⇒ | $\editable{}$ | ⇒ | $8$8 |