#NumberAndAlgebra
>[!info]- [Multiplicative relations B | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-3/fa1ff4d43b)
>- MA3-MR-01 selects and applies appropriate strategies to solve multiplication and division problems
>- MA3-MR-02 constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
>[!abstract]- Prior Knowledge
>- [[Multiplicative Relations A]]
## Select and apply strategies to solve problems involving multiplication and division with whole numbers
- Select and use efficient strategies to multiply whole numbers of up to 4 digits by one- and 2-digit numbers
- Solve word problems involving rates using multiplication and division (Reasons about relations)
- Determine why different division questions have the same answer (Reasons about relations)
## Multiply and divide decimals by powers of 10
- Use mental strategies to multiply benchmark decimals by single-digit numbers
- Compare the relative place value of digits to multiply and divide a decimal by powers of 10
- Estimate the product of a decimal and a whole number to determine the magnitude of a calculator answer
## Use equivalent number sentences involving multiplication and division to find unknown quantities
- Complete number sentences that involve more than one operation by calculating missing numbers
- Identify and use inverse operations to assist with the solution of number sentences
- Recognise that division can be recorded using fractions
## Represent and describe number patterns formed by multiples
- Use a given geometric pattern involving multiples to create a table of values
- Describe a pattern formed by multiples in words, in terms of multiplication rather than addition
- Determine a rule describing the relationship between the bottom number and the top number in a table (Algebraic reasoning)
## Explore the use of brackets and the order of operations to write number sentences
- Recognise the need to agree on the order in which to perform operations
- Use grouping symbols () in number sentences to indicate operations that must be performed first
- Investigate the order of operations using real-life contexts
- Solve problems involving grouping symbols