Writing in Math. When writing in math: Be clear (elaborate) Use pronouns after corresponding noun has been presented Replace colloquial terms with universal.

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Presentation transcript:

Writing in Math

When writing in math: Be clear (elaborate) Use pronouns after corresponding noun has been presented Replace colloquial terms with universal language Provide context and examples (details & facts that apply) Use complete sentences and math terms appropriately Stay focused (answer the question posed)

Using “Practice p.80-81” 35) Tristan has 45 apples and 20 pears that he is putting into gift baskets. Each basket will have the same number of apples and pears. What is the greatest number of baskets Tristan can make with no fruit left over? Explain. Explanation: The greatest number of baskets Tristan can make without any fruit left over is 5 because 5 is the largest number that will divide 45 and 20 evenly. In each basket, there will be 9 apples and 4 pears.

Using “Practice p.80-81” 35) Tristan has 45 apples and 20 pears that he is putting into gift baskets. Each basket will have the same number of apples and pears. What is the greatest number of baskets Tristan can make with no fruit left over? Explain. Explanation: The greatest number of baskets Tristan can make is 5 because the greatest common factor is 5. 5 is the largest number that will divide 45 and 20 evenly. Each basket will have 9 apples and 4 pears.

Using “Practice p.80-81” 36) At Poultry Paradise, turkey burgers are sold in packages of 8. Whole-grain buns are sold in packages of 6. What is the least number of turkey burgers and buns Carly can buy to have an equal number of each? Explain. Explanation: For Carly to have an equal number of burgers and buns, she would have to buy 24 of each. 24 is the LCM of 6 and 8. She would buy 3 packs of burgers and 4 packs of buns in order to have 24 of each.

Using “Practice p.80-81” 36) At Poultry Paradise, turkey burgers are sold in packages of 8. Whole-grain buns are sold in packages of 6. What is the least number of turkey burgers and buns Carly can buy to have an equal number of each? Explain. Explanation: Carly has to buy 3 packs of burgers and 4 packs of buns to have an equal number of each item. With 3 packs of 8 burgers and 4 packs of 6 buns, she would have 24 of each. 24 is the least number because there is no smaller number that can be divided by 6 and 8 evenly.

Using “Practice p.80-81” 36) At Poultry Paradise, turkey burgers are sold in packages of 8. Whole-grain buns are sold in packages of 6. What is the least number of turkey burgers and buns Carly can buy to have an equal number of each? Explain. Explanation: Carly should buy 3 packs of 8 burgers and 4 packs of 6 buns to have 24 of each. 24 is the least common multiple for 8 and 6. Carly could not buy less than 24 buns or burgers because there is no smaller number that 8 and 6 can evenly divide.

Using “Practice p.80-81” 37) What is the least common factor of any pair of numbers? Explain. Explanation: 1 is the least common factor of any pair of numbers because all numbers can be divided by 1. 1 is the lowest counting number.

Using “Practice p.80-81” 37) What is the least common factor of any pair of numbers? Explain. Explanation: 1 is the least common factor of any pair of numbers because 1 can divide any number evenly making it a factor of all numbers.

Using “Practice p.80-81” 38) Why are you able to find a greatest common factor but not a greatest common multiple? Explanation: You can not find a greatest common multiple because there are infinite multiples for each number. You can find a greatest common factor because there are a limited number of factors for each number. For example, the multiples of 2 are 2, 4, 6, 8, 10, 12, etc. (forever ongoing), but the factors of 2 are limited to 1 and 2.

Using “Practice p.80-81” 38) Why are you able to find a greatest common factor but not a greatest common multiple? Explanation: There is no greatest common multiple because multiples are products; therefore, you can always multiply to get another product or multiple. Every number is limited to a determined number of factors. Therefore, the greatest common factor could only exist among those given factors. e.g. The LCM of 8 and 2 is 8 and other common multiples include 16, 24, 32, etc. The factors of 2 are 1 and 2, so when finding the GCF of 2 and 8, it can only be 1 or 2 because these are the only factors of two.