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.
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.
What do fractions and ratios have in common? What is unique about fractions and what is unique about ratios? Lead a discussion and model some examples. Then, pose some questions and have your mathematicians set up the ratios. Check for understanding by having them set up a Venn diagram comparing ratios and fractions.
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.
Students solve problems with ratios. In this algebra instructional activity, 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.
Students define ratios and how they apply in a business context. They practice ratios through an activity that involves financial data.
Students write an article about an artist using math in his work. For this algebra lesson, students apply properties of linear equations and ratios as it relate to shapes and figure. They analyze different architectures for shapes and designs.
Rates, ratios, proportions, oh my! Use the distance equals rate times time (d=rt) formula to teach about rate, ratio, and proportion. How many miles were traveled in how much time? Set up the information in a proportion to get a unit rate, as in miles per hour. Use the chart provided to help young learners identify a pattern and to then set up a proportion to find the missing information.
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 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.
Students track and record how much time they spend on each activity. In this spreadsheet lesson plan, 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 activity, students use pictures to understand that ratios are comparisons. Students solve 10 questions pertaining to ratios and proportions.
Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express each statement as unit rate and determine the value of each ratio. This well-written activity provides many real-world examples, including the graph of the speed of racing motorcycles.