# 数学学科常识：体积、比例和尺度

## Maths Subject Knowledge: Proportion, Ratio and Scaling

Learn how to solve proportional reasoning problems and apply them to real-world contexts and STEM subjects.

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FutureLearn
• 完成时间大约为 4
• 初级
• 英语

### 你将学到什么

Identify problems that can be solved using proportional reasoning.

Solve problems of scaling up and scaling down using the unitary method.

Solve problems of ratio with two and three quantities.

Apply proportional reasoning to conversion and compound measure problems.

Apply proportional reasoning to scaling of area and volume.

### 课程概况

Proportional reasoning and the use of ratios is required across different areas of the mathematics curriculum. It is essential to many areas of science and technology and is used in a range of situations in both life and work.

In this course we will explore different mathematical strategies to enable you to solve proportional reasoning problems. By participating in this course you will discover multiplicative reasoning strategies, links between ratio and proportion and the ability to scale things up and to scale things down.

### 课程大纲

What is proportional (multiplicative) reasoning

Scaling up and scaling down using the unitary method

The definition and application of ratios

How to use proportion reasoning when dealing with areas and volumes

Proportional reasoning and ratio in applied science and technology contexts

### 面向人群

This course is designed specifically for teachers and educators who do not have a specialism in maths, but wish to learn mathematical methods and improve their understanding. This course is suitable for:

New teachers, student teachers or people just about to start their teaching career who are interested in increasing their mathematical subject knowledge
Inexperienced teachers of mathematics for whom mathematics was not a major part of their degree
Non-specialist teachers of mathematics whose expertise lies elsewhere.
Teachers of science
Teachers of technology, engineering and other related subjects
Parents wishing to support their children

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