These are the topics related to the standard: Understand ratio concepts and use ratio reasoning to solve problems."
Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.
Algebra In Action Real life problems adapted from an old Mathematics textbook which can be solved using algebra.
Ratio A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio.
Ratio Video Learn to work with ratios including dividing a quantity in a given ratio.
Ratios vs Fractions Relate the language of ratios and the associated calculations to the arithmetic of fractions.
Here are some exam-style questions on this statement:
- "If A is 150% more than B, what is the ratio A:B?" ... more
- "Mrs Painter makes a large amount of orange paint by mixing red and yellow paint in the ratio 3 : 4." ... more
- "Toystore sell model sheep in four different colours. In their newest warehouse there are currently 1760 sheep in stock. Three eighths of the sheep are yellow, 15% of the sheep are blue and the ratio of green to red sheep is 5:6." ... more
- "Pink paint is made by mixing red paint and white paint in the ratio 7 : 4" ... more
- "The ratio a : b is equivalent to the ratio 7 : 3 and 8b = 5c" ... more
Click on a topic below for suggested lesson starters, resources and activities from Transum.
- Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.
- Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.
