Prior to the study of ratios and proportions, the unit will begin by examining the quotients of fractions, the GCF, LCM and distributive property.

6.NS.1 Interpret and compute quotients of fractions

6. NS1- I will compute quotients of fractions divided by fractions (including mixed numbers).
6. NS1- I will use visual models, explanations, and equations to demonstrate how to divide fractions by fractions. 6. NS1- I will solve real-world problems involving division of fractions by fractions.

6.NS.4 GCF of two whole numbers ≤ 100 and LCM of two whole numbers ≤ 12, use of distributive property as sum of 2 whole numbers with a common factor

6. NS4- I will define factor, multiple, prime number, composite number. 6. NS4- I will define greatest common factor and least common multiple. 6. NS4- I will identify the factors of two whole numbers less than 100. 6. NS4- I will identify the greatest common factor of two whole numbers less than or equal to 100. 6. NS4- I will identify that the greatest common factor of two prime numbers will be 1. 6. NS4- I will identify the least common multiple of two whole numbers less than or equal to 12. 6. NS4- I will apply the distributive property to rewrite addition problems by factoring out the greatest common factor.

6.RP 1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6. RP1- I will explain the concept of a ratio as a comparison of two quantities (for example 6 to 15 and 6:15) 6. RP1- I will describe in written form (words and symbols) the relationship between two quantities. I will express ratios in simplest form and understand how the reduced value relates to the original ratio. 6. RP1- I will create and label a visual model of a given ratio.

6.RP 2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠0, and use rate language in the context of a ratio relationship.

6. RP2- I will describe in written form how to convert a rate to a unit rate. 6. RP2- I will explain the concept of a unit rate as part-to-one. 6. RP2- I will explain that the concept of a unit rate is related to a ratio. 6. RP2- I will apply unit rates in real world situations.

6.RP 3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6. RP3- I will apply ratio and rate relationships and reasoning to solve real-world situations using tables, tape diagrams, number lines and equations. 6. RP3a.- I will demonstrate equivalent ratios with whole-number measurements by constructing a table. 6. RP3a.- I will calculate the missing values in the tables. 6. RP3a.- I will plot the pairs of values that represent equivalent ratios on the coordinate plane. 6. RP3a.- I will use tables to compare quantities (ratios). 6. RP3b.- I will apply the concept of unit rate to solve real- world problems involving unit pricing. 6. RP3b.- I will apply the concept of unit rate to solve real- world problems involving constant speed. 6. RP3c.- I will explain that a percent is a ratio of a number to 100. 6. RP3c.- I will solve real-world problems involving finding the whole, given a part and the percent. 6. RP3d.- I will apply ratio reasoning to convert measurement units by multiplying or dividing in real-world and mathematical problems.

## 6.NS.1 Interpret and compute quotients of fractions

6. NS1- I will compute quotients of fractions divided by fractions (including mixed numbers).6. NS1- I will use visual models, explanations, and equations to demonstrate how to divide fractions by fractions.

6. NS1- I will solve real-world problems involving division of fractions by fractions.

## 6.NS.4 GCF of two whole numbers ≤ 100 and LCM of two whole numbers ≤ 12, use of distributive property as sum of 2 whole numbers with a common factor

6. NS4- I will define factor, multiple, prime number, composite number.6. NS4- I will define greatest common factor and least common multiple.

6. NS4- I will identify the factors of two whole numbers less than 100.

6. NS4- I will identify the greatest common factor of two whole numbers less than or equal to 100.

6. NS4- I will identify that the greatest common factor of two prime numbers will be 1.

6. NS4- I will identify the least common multiple of two whole numbers less than or equal to 12.

6. NS4- I will apply the distributive property to rewrite addition problems by factoring out the greatest common factor.

## 6.RP 1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6. RP1- I will explain the concept of a ratio as a comparison of two quantities (for example 6 to 15 and 6:15)6. RP1- I will describe in written form (words and symbols) the relationship between two quantities. I will express ratios in simplest form and understand how the reduced value relates to the original ratio.

6. RP1- I will create and label a visual model of a given ratio.

## 6.RP 2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠0, and use rate language in the context of a ratio relationship.

6. RP2- I will describe in written form how to convert a rate to a unit rate.6. RP2- I will explain the concept of a unit rate as part-to-one.

6. RP2- I will explain that the concept of a unit rate is related to a ratio.

6. RP2- I will apply unit rates in real world situations.

## 6.RP 3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6. RP3- I will apply ratio and rate relationships and reasoning to solve real-world situations using tables, tape diagrams, number lines and equations.6. RP3a.- I will demonstrate equivalent ratios with whole-number measurements by constructing a table.

6. RP3a.- I will calculate the missing values in the tables.

6. RP3a.- I will plot the pairs of values that represent equivalent ratios on the coordinate plane.

6. RP3a.- I will use tables to compare quantities (ratios).

6. RP3b.- I will apply the concept of unit rate to solve real- world problems involving unit pricing.

6. RP3b.- I will apply the concept of unit rate to solve real- world problems involving constant speed.

6. RP3c.- I will explain that a percent is a ratio of a number to 100.

6. RP3c.- I will solve real-world problems involving finding the whole, given a part and the percent.

6. RP3d.- I will apply ratio reasoning to convert measurement units by multiplying or dividing in real-world and mathematical problems.