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# Books 18-20 Set e-Copy 2020 Edition

Book 18, Book 19 and Book 20 in PDF form.

You will also get:

- information about the curriculum,
- learning intention checklist and sticker chart,
- worksheets, activities and board games,
- certificates and other print-and-cut resources.

Books 18, 19 and 20 cover 27 learning intentions for children aged about 9 to 11 years old.

At this level, students are learning to choose the best way to solve an addition or subtraction problem from a range of strategies. They see numbers as ‘whole’ units but also understand that ‘nested’ within these units is a range of possibilities for partitioning (breaking up) and recombining. This is called part-whole thinking.

For example, 29 + 28 = ?

Using compensation: 30 + 27 or 30 + 28 – 1

Using place value partitioning: 29 + 20 + 8

or 20 + 20 + 9 + 8.

They can also derive multiplication from known facts, e.g., 3 x 8 = 24, so 6 x 8 = 24 + 24 = 48. By now they should know their times tables, decimal numbers to three places and be able to read any fraction.

The learning intentions covered in this book are:

- Able to give the value of digits, and sequence and order any whole number
- Able to give the number of tens or hundreds in 4-digit numbers
- Able to use place value to multiply by tens or hundreds
- Able to select from a range of strategies, including a standard written form
- Able to multiply a 2-digit number by a single-digit number using a mental method
- Able to multiply a 2-digit number by a single-digit number using a written method
- Able to multiply a 3-digit number by a single-digit number using a mental method
- Able to multiply a 3-digit number by a single-digit number using a written method
- Able to solve multi-step problems

Books 18, 19 and 20 cover 27 learning intentions for children aged about 9 to 11 years old.

At this level, students are learning to choose the best way to solve an addition or subtraction problem from a range of strategies. They see numbers as ‘whole’ units but also understand that ‘nested’ within these units is a range of possibilities for partitioning (breaking up) and recombining. This is called part-whole thinking.

For example, 29 + 28 = ?

Using compensation: 30 + 27 or 30 + 28 – 1

Using place value partitioning: 29 + 20 + 8

or 20 + 20 + 9 + 8.

They can also derive multiplication from known facts, e.g., 3 x 8 = 24, so 6 x 8 = 24 + 24 = 48. By now they should know their times tables, decimal numbers to three places and be able to read any fraction.

The learning intentions covered in this book are:

- Knows and understands square numbers up to 20 x 20
- Able to use both recordings of division (÷ and √)
- Able to use multiplication facts to solve division problems
- Able to divide up to a 3-digit number by a single-digit number
- Able to identify factors and multiples
- Able to order unit fractions
- Able to use improper fractions and mixed numbers
- Knows simple equivalent fractions
- Able to solve simple ratio problems using repeated replication

Books 18, 19 and 20 cover 27 learning intentions for children aged about 9 to 11 years old.

At this level, students are learning to choose the best way to solve an addition or subtraction problem from a range of strategies. They see numbers as ‘whole’ units but also understand that ‘nested’ within these units is a range of possibilities for partitioning (breaking up) and recombining. This is called part-whole thinking.

For example, 29 + 28 = ?

Using compensation: 30 + 27 or 30 + 28 – 1

Using place value partitioning: 29 + 20 + 8

or 20 + 20 + 9 + 8.

They can also derive multiplication from known facts, e.g., 3 x 8 = 24, so 6 x 8 = 24 + 24 = 48. By now they should know their times tables, decimal numbers to three places and be able to read any fraction.

The learning intentions covered in this book are:

- Able to understand decimals as special fractions
- Able to understand decimals as an extension to the place value system
- Able to order decimal numbers up to three decimal places
- Able to round decimal numbers up to three decimal places
- Able to add and subtract decimal numbers up to three decimal places
- Able to understand percentages as special fractions
- Knows common percentages
- Able to use a calculator efficiently
- Uses knowledge of operations to identify number patterns

The Linear Series (Books 1-20) cover ALL learning intentions in the curriculum. They start at Year 0 (Book 1) and continue to Year 6 (Stage 6). The Linear Series books are recommended if you wish to support your child through the mathematics curriculum as they grow.

The Subject Area books (addition and subtraction, multiplication and fractions) are collections of the material taken from the Linear Series (Books 1-20). The Subject Area books cover only learning intentions that are relevant to that book. The Subject Area books are recommended if your child has a particular difficulty in one area, like fractions.