Ratios Teacher Resources
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Sal defines ratios. Then he shows how to write ratios three different ways. This concept is then demonstrated with four examples for finding quantities by using ratios.
The instructor continues to build ratio problem-solving skills, algebraically. The two examples are very involved, but are thoroughly explained with the use of algebraic steps.
Sal solves ration problems where he compares ratios and uses algebra to find unknown ratios.
Young economists explore the price-to-earnings ratio (and the earning-to-price ratio) as Sal explores the case study from previous videos. He lays out the market capitalization for the company and the price per share, explaining that it is trading at a discount to book value. Learners take a look at the trailing 12-month earnings and get a brief glimpse of forward earning calculations. Sal explains the role of sell and buy-side analysts and calculates the earnings-to-price ratio for the TTM. Connecting it with the return on a personal bank account, he asks why anyone would choose a bank over a company's assets, explaining country risk, volatility, and liquidity.
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes discussion on relating ratios to rates. At the end, your class will understand the concept of a ratio and be able to describe it in a relationship.
Demonstrating the concept of ratios with several simple examples (animals, fruit, girls and boys in class), Sal guides viewers through the process of finding and simplifying ratios. Even those who have a hard time grasping the concept of ratios will have an easier time listening to Sal's easygoing instruction.
Addressing the concept of reserve ratios, Sal outlines the necessity and purpose of regulating the reserves within the banking system. He describes how an ideal banking system stays liquid, whereas a chaotic banking system might experience a bank run. This video would be ideal in an economics lecture, or even in a history class addressing the bank runs during the Great Depression.
Examine the ratio 92:28. Watch as Sal determines the prime factors of each number. He then writes factors as a fraction, cancels out the like factors, and analyzes what the numbers in the fraction represent.
Ratios can be written in a number of ways including whole to part, part to part, part to whole. For each problem, young mathematicians write the given ratio and classify it based on those categories.
Students solve problems with ratios. In this algebra lesson, students rewrite word problems using algebraic equations and solve using ratio and proportion. They show their understanding of the problems as they relate to the real world.
Young scholars define ratios and how they apply in a business context. They practice ratios through an activity that involves financial data.
Pupils calculate the ratio and apply it to construction. In this geometry lesson, students convert between different units and use decimals and fractions interchangeable. They find the fraction of a given amount using the calculator.
In this ratios, rates, and proportions worksheet, students complete number problems and word problems about ratios, rates, and proportions. Students complete 14 problems.
Learners track and record how much time they spend on each activity. In this spreadsheet lesson, students apply different functions using Microsoft excel to format cells and calculate the sum of their total time spent each day. They compare their ratio and percent from for the whole week.
In this ratio and proportion worksheet, students use pictures to understand that ratios are comparisons. Students solve 10 questions pertaining to ratios and proportions.
Introduce the concept of ratios. Start out by giving small groups of learners an assortment of colored cubes. Have them write a description of the materials that you gave them and then use this as a jumping-off point to talk about ratios and how to write them mathematically. Introduce the terms: part to whole, part to part, whole to whole, and whole to part.
Recipes are a great way to connect ratios with real life, because sometimes we just need a bigger batch. Show your middle schoolers how to set up a ratio with the recipe for fruit punch and organize it into a table with this first video in a series. Use the table and add more cups of juice from the ratio to get the final result. Check out the other videos in the series for more practice with ratio problems.
Ratios are all about relationships and this video shows two different ways to find those patterns. The prior video in the six-part video series sets up the ratio with addition, and this video focuses on the multiplicative reasoning. Show your mathematicians they can find a pattern to go from the original ratio to the larger with multiplication. The second method references the relationship between the two parts of the ratio, something they will learn later to be scale factor. Use the other videos in this series for more practice with ratios.
Converting units are ratios in disguise and can be easy solve. Although this video is the last in a series about different methods to solve ratio problems, it does not have to be used in conjunction with this series. It introduces the classic proportion problem comparing a given ratio to a missing piece, using multiplicative reasoning to solve. It reviews unit conversion and how we can use proportions to solve, and includes a fun drawing of the problem.
Organization is the best way to make sure that ratios are set up correctly to be proportional. This video reviews how to solve ratio problems with addition and multiplication, shown in more detail in the prior two videos of this series, and then focuses on setting up the problem into a double number line. Have your learners follow along with their own number line and see if they can spot the shortcut to the answer with multiplication.