Ratios

Armed Forces navigation

Synopsis

Case-study based lesson, drawing on various Armed Forces navigation 'stories' including Ten Tors challenge, Royal Navy counter-piracy work and the RAF's Quick Reaction Alert forces. Worksheets present varying routes and in different scenarios, permitting students to use and calculate scales and ratios.

MOD Topic

Armed Forces navigation

Curriculum Checklist

1.1a, 1.2b, 1.3b

Curriculum Links

• Geography

Prior Knowledge

None required

Learning Outcomes

Lower ability students will:

• Recognise a ratio and understand what it is comparing.
• Understand when to simplify a ratio and how this helps compare the size of two quantities.
• Be able to simplify a ratio with assistance.
• With assistance, be able to understand how to divide in a ratio and be able to follow and understand applied examples.
• Be able to increase or decrease a quantity by a simple ratio.

Average ability students will:

• Recognise a ratio and understand what it is comparing.
• Be able to identify the relative sizes of two quantities and calculate the ratio.
• Understand when to simplify a ratio and how this can support practical application of ratios.
• Be able to simplify most ratios without assistance.
• Understand how to divide in a ratio and be able to divide in a ratio.
• Be able to calculate proportional change including use of a fraction where appropriate.

Higher ability students will:

• Recognise instances where ratios can be used effectively to demonstrate the relative sizes of two or more quantities.
• Be able to apply ratios to practical problems.
• Be able to explain to peers why and when a ratio can be simplified.
• Be able to simplify a ratio including complex ratios comparing more than two quantities.
• Be able to divide in a ratio and apply to practical examples.
• Be able to calculate proportional change including use of a fraction and percentages as appropriate.

Lesson code

M10