Mastering Rates and Ratios
Mastering Rates and Ratios
Items in this lesson
Mastering Rates and Ratios
What do you already know about rates and ratios?
Learning Objective
At the end of the lesson you will be able to define ratios and rates, explain their differences, and solve everyday problems involving both.
What is a Ratio?
A ratio is a way to compare two quantities. It shows how much of one thing there is compared to another, such as 3:2.
Understanding Rates
A rate is a special type of ratio comparing two different units, like miles per hour or cost per item.
Ratios vs. Rates
Compare same units. Example: 4 pens to 3 pencils.
Ratios
Compare different units. Example: 60 miles in 2 hours.
Rates
Simplifying Ratios
Simplify ratios by dividing both parts by a common factor. Example: 8:4 simplifies to 2:1.
Finding Unit Rates
To find a unit rate, divide the first quantity by the second. Example: £6 for 3 apples = £2 per apple.
Let's Practise!
Can you write a ratio for 10 blue marbles and 5 red marbles? Can you find the unit rate for 120 km in 3 hours?
Summary
Ratios compare quantities. Rates compare quantities with different units. Simplify ratios and calculate unit rates to solve real-world problems.
Write down 3 things you learned in this lesson.
Write down 2 things you want to know more about.
Ask 1 question about something you haven't quite understood yet.
