# Course 1 chapter 1 ratios and rates study guide

The relationship between the ingredients is a ratio. A ratio is a comparison of two or more numbers. A proportion is an equation of ratios.

We solved basic proportions to calculate the correct mixtures of ingredients needed to make 4 or 16 pancakes. Say a particular school wants to keep a student to teacher ratio of This means the school wants to have 2 teachers for every 55 kids. How many teachers should the school have? To solve this we would use a proportion. Let the x represent the number of teachers needed for kids to satisfy the ratio.

Then the following equation which is a proportion must be true. For this equation that means multiplying 55 by x and by 2, then wiping out the denominators. The next step to solving x is to isolate it on one side of the equation. We do this by diving both sides by 55, which leaves x alone on one side and gives the answer on the other side. Solving the proportion tells us that the school would need 30 teachers to handle the students. The call center has been handling around calls each day with 15 employees, but the center is taking on more business and expects to soon be receiving about calls per day.

Ratios: An Introduction to Ratios in the Sixth Grade

How many more employees will the call center need to handle this increase in daily volume? One way to solve this is to observe that the call center expects to be handling more calls per day. We can then set up and solve the following proportion:. Now say while driving on the freeway at a certain speed you travelled miles in 4 hours. At the same speed, how long will it take you to travel miles? And solving for x we learn that at this speed it would take 9.

You could have also solved that the speed is At a certain speed you travel miles in 4. At the same speed, how far would you travel in 7 hours? If a restaurant likes to keep a ratio of 3 waiters per 42 seated guests, how many waiters should the restaurant have on staff for a night where crowds of seated guests are expected?

A caterer usually bakes 4 cakes per 90 guests. How many cakes should the caterer bake for a party with guests? A recipe calls for 2 cups of sugar for every 5 cups of flour. If 12 cups of flour are used, how many cups of sugar are needed? Please visit our new site: Ratios and proportions math test study guide. We can then set up and solve the following proportion: Hence, the center would need to hire 9 more employees to handle the increased call volume.

Again, we solve using a proportion: And solving for x we learn that at this speed it would take 9. Practice Questions Solve for x or for the given quantity.Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation, and formalize understanding of equivalent ratios. Students apply reasoning when solving collections of ratio problems in real world contexts using various tools e.

Students bridge their understanding of ratios to the value of a ratio, and then to rate and unit rate, discovering that a percent of a quantity is a rate per The 35 day module concludes with students expressing a fraction as a percent and finding a percent of a quantity in real world concepts, supporting their reasoning with familiar representations they used previously in the module.

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. Resources may contain links to sites external to the EngageNY. Skip to main content. Find More Curriculum Print. Grade 6 Mathematics.

Prev - Grade 6 Mathematics. Grade 6 Mathematics Module 1. The student materials consist of the student pages for each lesson in Module 1. Like Grade 6 Mathematics Module 1: Teacher Materials 8. Related Resources Resource Document. Lesson 1.

Lesson 2. Lesson 3. Lesson 4. Lesson 5. Lesson 6. Lesson 7. Lesson 8. Lesson 9. Lesson Toggle Module 2 Module 2. Toggle Module 3 Module 3. Toggle Module 4 Module 4. Toggle Module 5 Module 5. Lesson 19a. Toggle Module 6 Module 6. View PDF. Grade 6 Mathematics Module 1: Student Materials 2.

Resource Document.Davis-5th Grade Math. Search this site. Upcoming Events. Helpful Links. Resource Page. Math Class Period 1. Period 2.

Period 3. Period 4. Period 5. In Chapter 1, Ratios and Rates, the students will be able to do the following:. Understand the concept of a ratio and use ratio. Use ratio and rate reasoning to problem solve. Make tables of equivalent ratios. Solve unit rate problems.

## Ratios and Proportions

Find a percent of a quality as a rate per and. In Chapter 1, Rates and Ratios, the students should be able to:. Find the greatest common factor to help solve real-world problems. Express ratios and rates as fractions. Use ratio tables to represent and solve problems involving equivalent ratios. Graph ordered pairs in ratio tables to solve problems. Solve problems by using the four-step problem solving method. Determine if two ratios are equivalent.

Solve ratio and rate problems using a bar diagram. Solve problems using ratios and rates. Chapter 1 Lessons:. Lesson Review Quiz. Chapter 1, Lesson Review Quiz. Use ratio and rate reasoning to problem solve 4. Make tables of equivalent ratios 5. Solve unit rate problems 6. In Chapter 1, Rates and Ratios, the students should be able to: 1.User ID. Login here. Report an Error. Error Description. Select State. Select User Type.

Save Close. Chapter 1: Ratios and Rates. Lesson 1: Factors and Multiples. Lesson 2: Ratios. Lesson 3: Rates. Lesson 4: Ratio Tables. Lesson 5: Graph Ratio Tables. Lesson 6: Equivalent Ratios. Lesson 7: Ratio and Rate Problems. Chapter 2: Fractions, Decimals, and Percents. Lesson 1: Decimals and Fractions. Lesson 2: Percents and Fractions. Lesson 3: Percents and Decimals. Lesson 6: Estimate with Percents.

Lesson 7: Percent of a Number. Lesson 8: Solve Percent Problems.Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Happy Latinx Heritage Month! Grade Level. Resource Type. Log In Join Us. View Wish List View Cart. Sort by: Relevance.

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After booting Chris Miller and Phil Lord from the Han Solo spinoff this summer, and sidelining Gareth Edwards for big reshoots and edits on last winter's Rogue One, the latest forsaken filmmaker is Colin Trevorrow, who will no longer be at the helm of the untitled Episode IX.

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