Concept of Ratio and Proportion.pptx and
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This document, authored by teacher Janna, explains the concepts of ratio and proportion, defining each and illustrating their usage with examples. It describes ratios as comparisons of quantities and proportions as equations equating two ratios, along with methods for expressing ratios in different forms. The document also outlines types of proportions and provides exercises to practice finding ratios in various contexts.
Concept of Ratio and Proportion.pptx and
- 2. Competencies ●Define ratio and proportion; • Use Concrete objects or draw pictorial models to illustrate ratios and proportions; and
- 3. What is ratio? Do you have any idea?
- 4. Ratio is a comparison between two or more numbers or quantities. A ratio is an ordered pair of numbers a and b, written a/b where b does not equal 0.
- 5. What is proportion? Do you have any idea?
- 6. Proportion is an equation in which two ratios are set equal to each other. The numbers in a ratio are called terms.
- 8. Example There are 4 apples, 1 table and 5 basket. To compare the number of apples to basket, a ratio can be used. How can we write the ratio in three forms?
- 9. Ratio Form Colon Form Fraction Form 𝟒 𝟓 4:5 Word Form 4 to 5
- 10. A ratio can name both part to part and part to whole quantities. A fraction names only part to whole. A part-to-part ratio is a ratio that represents the relationship between two different groups.
- 11. Example Thea has 10 bananas and 15 grapes. What is the ratio of bananas to grapes?
- 12. Solutio n The ratio of bananas to grapes is 10:15. This can be written in fraction form as Simplify the ratio using the same way as simplifying fractions. So the ratio of bananas to grapes is or 2:3 or 2 to 3.
- 13. Exercise 1.There are 16 Lan zones, 1 plate and 64 cherries. What is the ratio of Lan zones to cherries? 2.What is the ratio of 8 books to 20 books? 3.On shelf, books with violet cover have 40 books and the other shelf there are 72 brown cover books. What is the ratio of violet books to brown books if will arrange in one large shelf?
- 15. Competencies ●Sets up proportions for groups of objects or numbers and for given situations. • Finds a missing term in a proportion (direct, inverse and partitive)
- 16. Kinds of Ratio
- 17. Direct Proportion – As one quantity increases, the other quantity increases at the same rate and vice versa Inverse Proportion – As one quantity increases the other quantity decreases at the same rate, and vice versa. Partitive Proportion – A whole is divided into parts that are proportional to the given ratio.