Ratios and Proportional Relationships Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratioof wings to beaks in the bird house at the zoo was 2:1, because forevery 2 wings there was 1 beak.” “For every vote candidate A received,candidate C received nearly three votes.”
Use Ratio Language: https://learnzillion.com/lessonsets/114
and https://learnzillion.com/lessonsets/133
Express Ratios https://learnzillion.com/lessonsets/53
Understand Ratios https://learnzillion.com/lessonsets/84

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. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.” (Note: Expectations for unit rates in this grade are limited to non-complex fractions.) https://learnzillion.com/lessonsets/152

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.

b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, thenat that rate, how many lawns could be mowed in 35 hours? At whatrate were lawns being mowed? https://learnzillion.com/lessonsets/157

c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

The Number System Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

6.NS.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Forexample, create a story context for (2/3) ÷ (3/4) and use a visual fractionmodel to show the quotient; use the relationship between multiplicationand division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3.(In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each personget if 3 people share 1/2 lb of chocolate equally? How many 3/4-cupservings are in 2/3 of a cup of yogurt? How wide is a rectangular strip ofland with length 3/4 mi and area 1/2 square mi?
Interpret and Compute Quotients with Fractions https://learnzillion.com/lessonsets/701
Division of Whole Numbers By Fractions https://learnzillion.com/lessonsets/12
Solve Word Problems https://learnzillion.com/lessonsets/288
Divide Fractions by Fractions https://learnzillion.com/lessonsets/13
Compute and Interpret Quotients of Fractions https://learnzillion.com/lessonsets/145
Multiply with Fractions https://learnzillion.com/lessonsets/14

Compute fluently with multi-digit numbers and find common factors and multiples.

6.NS.4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
Understand GCF and LCM https://learnzillion.com/lessonsets/598
Distributive Property https://learnzillion.com/lessonsets/424

Ratios and Proportional RelationshipsUnderstand ratio concepts and use ratio reasoning to solve problems.6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.For example, “The ratioof wings to beaks in the bird house at the zoo was 2:1, because forevery 2 wings there was 1 beak.” “For every vote candidate A received,candidate C received nearly three votes.”Use Ratio Language:

https://learnzillion.com/lessonsets/114

and

https://learnzillion.com/lessonsets/133

Express Ratios

https://learnzillion.com/lessonsets/53

Understand Ratios

https://learnzillion.com/lessonsets/84

6.RP.2: Understand the concept of a unit ratea/bassociated with a ratioa:bwithb≠ 0, and use rate language in the context of a ratio relationship.For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”(Note: Expectations for unit rates in this grade are limited to non-complex fractions.)https://learnzillion.com/lessonsets/152

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.a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.Find Ratio Values and Compare:

https://learnzillion.com/lessonsets/86

Use Tables and Coordinate Plane

https://learnzillion.com/lessonsets/156

and

https://learnzillion.com/lessonsets/164

Missing Proportion:

https://learnzillion.com/lessonsets/57

b. Solve unit rate problems including those involving unit pricing and constant speed.For example, if it took 7 hours to mow 4 lawns, thenat that rate, how many lawns could be mowed in 35 hours? At whatrate were lawns being mowed?https://learnzillion.com/lessonsets/157

c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.https://learnzillion.com/lessonsets/181

d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.Convert Measurementshttps://learnzillion.com/lessonsets/87

Solve Ratio Problems Using Tables and Coordinate Plane

https://learnzillion.com/lessonsets/164

The Number SystemApply and extend previous understandings of multiplication and division to divide fractions by fractions.6.NS.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.Forexample, create a story context for (2/3) ÷ (3/4) and use a visual fractionmodel to show the quotient; use the relationship between multiplicationand division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3.(In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each personget if 3 people share 1/2 lb of chocolate equally? How many 3/4-cupservings are in 2/3 of a cup of yogurt? How wide is a rectangular strip ofland with length 3/4 mi and area 1/2 square mi?Interpret and Compute Quotients with Fractions

https://learnzillion.com/lessonsets/701

Division of Whole Numbers By Fractions

https://learnzillion.com/lessonsets/12

Solve Word Problems

https://learnzillion.com/lessonsets/288

Divide Fractions by Fractions

https://learnzillion.com/lessonsets/13

Compute and Interpret Quotients of Fractions

https://learnzillion.com/lessonsets/145

Multiply with Fractions

https://learnzillion.com/lessonsets/14

Compute fluently with multi-digit numbers and find common factors and multiples.6.NS.2: Fluently divide multi-digit numbers using the standard algorithm.Divide Multipdigit Numbers

https://learnzillion.com/lessonsets/545

Standard Division Algorithm

https://learnzillion.com/lessonsets/368

6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.https://learnzillion.com/lessonsets/403

and

https://learnzillion.com/lessonsets/586

6

.NS.4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example,express 36 + 8 as 4 (9 + 2).Understand GCF and LCM

https://learnzillion.com/lessonsets/598

Distributive Property

https://learnzillion.com/lessonsets/424