A ratio can compare part of a set to a corresponding Describe a relationship between two sets by comparing part of another set (part-part comparison). part of one set to a corresponding part of the other set. A ratio can compare all of a set to all of another set (whole-whole comparison). Describe a relationship between two sets by comparing all of one set to all of the other set. The of the quantities in a ratio is directly related to the order of the quantities expressed in the Describe a relationship within a set by comparing one relationship. For example, if asked for the ratio part of the set to another part of the same set. of the number of cats to dogs in a park, the ratio Represent a relationship in words that makes a must be expressed as the number of cats to the comparison by using the notations , and a:b, a number of dogs, in that order. to b. A ratio is a multiplicative comparison of two Create a relationship in words for a given ratio expressed numbers, measures, or quantities. symbolically. All fractions are ratios and vice versa. Ratios may or may not be written in simplest form. Ratios can compare two parts of a whole. Rates can be expressed as ratios. 6.2 The student will investigate and describe fractions, decimals and percents as ratios; identify a fraction, decimal or percent from a representation; demonstrate equivalent relationships fractions, decimals, and percents; and compare and fractions, decimals, and percents. UNDERSTANDING THE STANDARD ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS (Background Information for Instructor Use Only) means 100” or how many of 100”; What is the relationship among fractions, decimals and The student will use problem solving, mathematical Percent “per “out is another name for percents? communication, mathematical reasoning, percent hundredths. Fractions, decimals, and percents are three different connections, and representations to A number followed by a percent symbol (%) is ways to express the same number. A ratio can be equivalent to that number with a denominator of written using fraction form ( ), a colon (2:3), or the 100 (e.g., 30% = = = 0.3). word (2 to 3). Any number that can be written as to
A ratio can compare part of a set to a corresponding part of another set (part-part comparison). A ratio can compare all of a set to all of another set (whole-whole comparison). The of the quantities in a ratio is directly related to the order of the quantities expressed in the relationship. For example, if asked for the ratio of the number of cats to dogs in a park, the ratio must be expressed as the number of cats to the number of dogs, in that order. A ratio is a multiplicative comparison of two numbers, measures, or quantities. All fractions are ratios and vice versa. Ratios may or may not be written in simplest form. Ratios can compare two parts of a whole. Rates can be expressed as ratios. Describe a relationship between two sets by comparing part of one set to a corresponding part of the other set. Describe a relationship between two sets by comparing all of one set to all of the other set. Describe a relationship within a set by comparing one part of the set to another part of the same set. Represent a relationship in words that makes a comparison by using the notations , a:b, and a to b. Create a relationship in words for a given ratio expressed symbolically. 6.2 The student will investigate and describe fractions, decimals and percents as ratios; identify a fraction, decimal or percent from a representation; demonstrate equivalent relationships fractions, decimals, and percents; and compare and fractions, decimals, and percents. UNDERSTANDING THE STANDARD (Background Information for Instructor Use Only) ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS Percent means “per 100” or how many “out of 100”; percent is another name for hundredths. A number followed by a percent symbol (%) is equivalent to that number with a denominator of 100 (e.g., 30% = = = 0.3). What is the relationship among fractions, decimals and percents? Fractions, decimals, and percents are three different ways to express the same number. A ratio can be written using fraction form ( ), a colon (2:3), or the word to (2 to 3). Any number that can be written as The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
cpr.math.6h.crosswalkyear.2017.docx