The teacher said that the ratio of the number of fish to the number of frogs in the science lab is 5 to 1, or 5 fish for every 1 frog. It will take kyra 105 minutes to walk 7 miles. Ratios and Unit Rates 11.1 Ratios MathLinks: Grade 6 (Student Packet 11) 3 EQUIVALENT RATIOS IN TABLES When variables in a fixed ratio are represented in tables, pairs of table entries form equivalent ratios. Use a double number line diagram to support your answer. If she continues to walk at the same rate, determine how many minutes it will take her to walk 7 miles. Kyra is participating in a fundraiser walk-a-thon. Include a table or diagram to support your answer.ħ hours Eureka Math Grade 6 Module 1 Lesson 12 Exit Ticket Answer Key Help Frank determine how long the remainder of the trip will take. The two main forms of carbs are: simple carbohydrates (or simple sugars): including. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Theyre a necessary part of a healthy diet for both kids and adults. Use a double number line to support your answer.įrank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla charges $5.50 an hour for babysitting. While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Eureka Math Grade 6 Module 1 Lesson 12 Problem Set Answer Key Based on this restriction, what is the largest size cola (in ounces) the cafeteria can offer to students? Drinks may not have more than 25 g of sugar. How many grams of sugar would be in a 1 L bottle of the cola? Explain and show how to arrive at the solution.Ī school cafeteria has a restriction on the amount of sugary drinks available to students. Complete the ratio table, using the given ratio to find equivalent ratios.Īnswers may vary but are found by either multiplying or dividing both 12 and 40 by the same number.Ī 1 L bottle of cola contains approximately 34 fluid ounces. serving of cola contains about 40 g of sugar. The amount of sugary beverages Americans consume is a leading health concern. Pacing: 21 instructional days (18 lessons, 2 flex days, 1 assessment day).Engage NY Eureka Math 6th Grade Module 1 Lesson 12 Answer Key Eureka Math Grade 6 Module 1 Lesson 12 Exercise Answer Key This sets the groundwork for the study of functions, linear equations, and systems of equations, which students will study in 8th grade and high school. Beyond 6th grade, students extend their understanding of ratios and rates to investigate proportional relationships in 7th grade. The work students do in this unit connects directly to Unit 2 and re-appears in Unit 6 when students analyze and graph relationships between independent and dependent variables. Students will access these prior concepts in this unit as they investigate patterns and structures in ratio tables and use multiplication to create equivalent ratios. In 4th grade and 5th grade, students learned the difference between multiplicative and additive comparisons and they interpreted multiplication as a way to scale. By the end of the unit, students should be able to select a strategy they think is best for a problem and to explain their choice. This is to support students learning new strategies to solve ratio problems and to compare and contrast different approaches. Throughout the unit, students see similar problems posed to them in different lessons. When students work with tables and double number lines, they discover how structure can shine light on a relationship, especially when comparing multiple ratio situations (MP.7). These representations become important tools in their ratios toolkit, enabling students to be strategic about which tools to use for different problems (MP.5). Students learn many ways to represent ratios, starting with discrete drawings and working their way to abstract tables. They learn how to use ratio language to describe the association between two or more quantities, expanding their abilities to analyze relationships and see multiplicative patterns. In Unit 1, 6th grade students have the opportunity to study a concept that is brand new to them: ratios.
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