In this chapter, we will be learning about ratios, rates, and proportions.
Ratios represent the relation between three quantities in the form of a : b : c. We will learn how to identify and determine equivalent ratios in different contexts. Rates are the relationship between ratios and we will learn how to determine this relationship. Proportions are also related to ratios and we will learn how to determine an unknown value in a proportion.
Lastly, we will learn how to determine the ratio of three quantities given two or more ratios, as well as how to find the ratio or related value given certain information.
• Represent the relation between three quantities in the form of a : b : c.
• Identify and determine the equivalent ratios in numerical, geometrical or daily situation contexts.
• Express ratios of two and three quantities in simplest form.
• Determine the relationship between ratios and rates
• Determine the relationship between ratios and proportions.
• Determine an unknown value in a proportion.
• Determine the ratio of three quantities, given two or more ratios of two quantities.
• Determine the ratio or the related value given (i) the ratio of two quantities and the value of one quantity. (ii) the ratio of three quantities and the value of one quantity.
• Determine the value related to a rate.
• Solve problems involving ratios, rates and proportions, including making estimations.
• Determine the relationship between percentages and ratios.
• Determine the percentage of a quantity by applying the concept of proportions.
• Solve problems involving relationship between ratios, rates and proportions with percentages, fractions and decimals
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