multiples

Identify highest common factors and least common multiples.

Solve multiplication and division problems that involve fractions.

Multiply by 10s, 100s, 1000s, and other multiples of 10.

This unit looks at simple rules that will decide when any number has the factors 2, 3, 4, 5, 6, 8, 9, 10, 11, and 12.  It also looks at how we can quickly tell what remainder a number has when it is divided by 3 or 9.  We also give the proofs of these rules.  These ideas are tested by word problems.

 Here we look for patterns in some number problems and see how far we can extend two basic ideas.  The main point of this unit is to produce conjectures although we will spend a little time on proofs. 

In this unit we use rectangular models or arrays to explore numbers from one to fifty.  We practice expressing numbers as the product of two smaller numbers and in doing so identify the factors of a number.  We are also introduced to prime numbers.

Visit ESOL Online for a version of this unit designed to support students for whom English is an additional language.

This activity provides students with a fun, game context in which to practice finding common multiples of numbers. Ths activity build knowledge tohelp develop multiplicative strategies.

In this activity we use a 1-100 grid to identify multiples of single digit numbers.  In particular we are looking for patterns and how they could be used to identify multiples.