# Illustrating the Mathematics Standards

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#### Soak It Up: Illustrating the year 8 standard

The following examples of student work illustrate achievement at the mathematics standard for year 8.

The task in this illustration was part of a science investigation into the absorbency of sponges. The class was working on a unit called Fibres and Fabrics from Making Better Sense of the Material World. As part of the unit, the students identified material properties that contribute to absorbency and completed a lesson on fair testing. This task focuses on the mathematical problem solving that took place within the investigation. It relates to achievement objectives for Number and Measurement from the mathematics and statistics learning area in The New Zealand Curriculum.

#### Soak It Up

Your class is investigating which of four different types of sponge is the most absorbent. The four sample sponges vary in size.

1. a. Find the volume of each sponge.
b. Record how much water each sponge absorbs.
2. Which sponge is the most absorbent?

Some features of students’ work used to make judgments in relation to the year 8 mathematics standard are described below.

There is also an illustration of the year 6 standard for this task.
There is also an illustration of the year 7 standard for this task.

 New Zealand Curriculum: Level 4 National Standards: By the end of year 8 In solving problems and modelling situations, students will: Number and Algebra use a range of multiplicative strategies when operating on whole numbers understand addition and subtraction of fractions, decimals, and integers know the equivalent decimal and percentage forms for everyday fractions (number strategies and knowledge) Geometry and Measurement use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids (measurement) Number and Algebra apply multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including decimals and percentages) Geometry and Measurement use metric and other standard measures use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids

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