# Illustrating the Mathematics Standards

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#### How Many?: Illustrating the year 7 standard

The following examples of student work illustrate achievement at the mathematics standard for year 7.

The task used in this illustration was part of a Number lesson in a year 7 class. The task relates to achievement objectives for Number and Algebra from the mathematics and statistics learning area in The New Zealand Curriculum.

#### How Many?

Bronnie and Simon are organising drinks and packets of chips for the school disco. They want to estimate how many of each they will need.

They have the following information:

• There are 11 classes coming to the disco.
• Each class has about 27 students.
• Usually about 75% of the students come.
• There are 20 packets of chips in a box.
• Each person will be given 1 packet of chips and 1 cup of juice.

1. Bronnie and Simon have 1 L bottles of juice. They want to fill cups that hold 125 mL. How many cups can they pour from 1 bottle of juice?

2. They don’t want to have lots of juice and chips left over. How many bottles of juice and boxes of chips should they buy?

Some features of students’ work used to make judgments in relation to the mathematics standards are described below. There is also an illustration of the year 6 standard for this task.

 New Zealand Curriculum: Level 4 National Standards: By the end of year 7 In solving problems and modelling situations, students will: Number and Algebra use a range of multiplicative strategies when operating on whole numbers find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions and decimals know the equivalent decimal and percentage forms for everyday fractions (number strategies and knowledge) Number and Algebra apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages) Geometry and Measurement convert between metric units, using whole numbers and commonly used decimals (measurement) Geometry and Measurement make simple conversions between units, using whole numbers

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