Ratio

• What is the topic of the introduction presented by Mr. J?

  The introduction to ratios
• What does a ratio show?

  A ratio shows the relationship between different amounts
• How do we express the ratio of strawberries to oranges based on the given quantities?

  6 to 3
• How many strawberries are counted in the example?

  Six strawberries
• How many oranges are counted in the example?

  Three oranges
• What is the correct order of the ratio when comparing strawberries to oranges?

  Strawberries come first, followed by oranges
• How can the ratio of strawberries to oranges be written using a colon?

  1. 3
• How can the ratio of strawberries to oranges be expressed as a fraction?

  \(\frac{6}{3}\)
• What is the greatest common factor of 6 and 3?


  3
• What is the simplified ratio of strawberries to oranges after dividing by the greatest common factor?

  1. 1
• What does the simplified ratio of 2:1 indicate about the quantities of strawberries and oranges?

  For every 2 strawberries, there is 1 orange
• What is the ratio of basketballs to soccer balls in the example?

  5 to 8
• Can the ratio of basketballs to soccer balls be simplified?

  No, it cannot be simplified
• What is the only common factor between 5 and 8?

  1
• What are the different ways to write ratios?

  • Using the word "to" (e.g., strawberries to oranges)
  • Using a colon (e.g., 6:3)
  • Using a fraction (e.g., \(\frac{6}{3}\))
• What is the importance of the order in writing ratios?

  • The first quantity mentioned comes first in the ratio
  • Changing the order changes the meaning of the ratio
• What will be covered in the follow-up videos on ratios?

  • A deeper exploration of ratios
  • Additional examples and applications
• Ratio using a colon


  
  
• What is the main topic of the lesson?

  Ratio and proportion
• How can ratio and proportion be illustrated?

  Using concrete or pictorial models
• If I bought three apples and six mangoes, what is the ratio of apples to mangoes?

  3 is to 6
• What is a ratio?

  A way of comparing two or more quantities
• What is the first way to write a ratio?

  Word form: a is to b
• How can the ratio of apples to mangoes be written in colon form?

  3 : 6
• What does the fraction form of a ratio represent?

  First quantity as numerator, second as denominator
• When can the fraction form of a ratio be used?

  When comparing two quantities
• How can ratios be simplified?

  By dividing both quantities by their GCF
• What is the simplified form of the ratio 3 is to 6?

  1 is to 2
• What are equivalent ratios?

  Ratios that make the same comparison of numbers
• How can you find equivalent ratios?

  By multiplying both quantities by any number
• If the ratio is 1 is to 2, what is the equivalent ratio when multiplied by 2?

  2 is to 4
• What is the equivalent ratio of 1 is to 2 when multiplied by 3?

  3 is to 6
• What is a proportion?

  A statement of equality between two ratios
• What are the two parts of a proportion called?

  Means and extremes
• How do you determine if two ratios are proportional?

  If the product of the means equals the product of the extremes
• In the proportion 1 is to 3 and 3 is to 9, what are the means?


  3 and 3
• In the proportion 1 is to 2 and 3 is to 4, what are the extremes?

  1 and 4
• What method can be used to check if fractions are proportional?

  Cross multiplication method
• If using cross multiplication, what is 6 times 1?

  6
• If using cross multiplication, what is 2 times 3?

  6