Write a ratio

Key Notes :

  1. Definition of a Ratio: Introduce the concept of a ratio as a comparison of two quantities. For instance, in a ratio �:�a:b, �a and �b are two different numbers or quantities being compared.
  2. Expressing Ratios: Teach students how to express ratios in different forms, such as �:�a:b, �/�a/b, or as a fraction. Emphasize that ratios should be written in their simplest form.
  3. Using Colons to Show Ratios: Help students understand that colons (:) are used to express ratios. For example, if comparing the number of boys to girls in a class, the ratio might be 3:2.
  4. Real-life Examples: Show how ratios are used in everyday situations. For instance, in recipes (like the ratio of flour to sugar), or in sports (such as the ratio of goals scored to games played).
  5. Equivalent Ratios: Explain the concept of equivalent ratios. Ratios that express the same comparison are considered equivalent. For instance, 1:21:2 is equivalent to 2:42:4.
  6. Application and Practice: Provide plenty of exercises and problems for students to practice writing and interpreting ratios. Encourage real-world problem-solving using ratios.
  7. Solving Problems with Ratios: Guide students on how ratios can be used to solve problems involving proportion and scaling, such as finding an unknown quantity when the ratio between known quantities is given.
  8. Visual Representation: Use visual aids like bar models, pie charts, or diagrams to illustrate ratios and help students visualize the relationship between the quantities being compared.
  9. Proportional Reasoning: Introduce the idea that ratios are a part of proportional relationships, helping to solve problems involving percentages, rates, and proportions.
  10. Comparing and Ordering: Teach students how to compare and order quantities by using ratios, enabling them to understand relative sizes and relationships.

Learn with an example

What is the ratio of stars to total shapes?

Write your answer as two numbers separated by a colon (for example, 2:3).

Count the number of stars. There is 1 star.

Count the total number of shapes. There are 3 shapes.

Write the ratio of stars to total shapes:

1:3

What is the ratio of hexagons to circles?

  • 7 : 3
  • 7 : 10
  • 10 : 3
  • 3 : 7

Count the number of hexagons. There are 7 hexagons.

Count the number of circles. There are 3 circles.

Write the ratio of hexagons to circles:

7 : 3

What is the ratio of hexagons to total shapes?

________ :6

Count the number of hexagons. There are 5 hexagons.

Count the total number of shapes. There are 6 shapes.

Write the ratio of hexagons to total shapes:

5 : 6

Let’s practice!🖊️