Ratios Teacher Resources
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Introduction to Ratios
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.
Banking 8: Reserve Ratios
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.
Ratio of Boys to Girls
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.
Simplifying Rates and Ratios
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 and Fractions
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.
Ratio And Proportion
Both intuitive and logistical steps bring Sal and the viewers to the correct answers in these problems using ratio and proportion. An equation with ratios introduces the video, and the skills from that problem lend well to the word problems that follow.
Ratio and Proportion word Problems
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.
Students define ratios and how they apply in a business context. They practice ratios through an activity that involves financial data.
Ratios and Proportions
Young scholars write an article about an artist using math in his work. In this algebra instructional activity, students apply properties of linear equations and ratios as it relate to shapes and figure. They analyze different architectures for shapes and designs.
Number Sense and Numeration: Ratio and Rate
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 learning exercise provides many real-world examples, including the graph of the speed of racing motorcycles.
Rates and Ratios
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.
Middle school math masters use ratios to determine the missing dimensions of various HD television screens. They also compare different dimensions of screens and determine whether or not they fit the same ratio. They perform similar tasks with the ratio for old analog television screens. This four-page worksheet will keep learners engaged and reinforce understanding of proportional relationships.
New! Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study using protractor skills, properties of right triangles, and the trigonometric sine ratio.
New! Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem, trigonometry ratios, angles of elevation, and geometry. After all the calculations are complete, learners write recommendation letters to outline the specific advantages and disadvantages to specific designs.
Photo Sizes Task
Photograph prints are often ordered as 4" x 6", 5" x 7", or 8" x 10", but did you know that these sizes are not proportional? Math wizards compare the ratios using different methods, such as graphing, in order to discover this fact. A worksheet, several possible solutions, and an extension activity make this a well-designed lesson to use as a teaching tool or homework assignment.
Fifth graders understand how to use a ratio in a comparison.In this ratios lesson, 5th graders explore real life situations where they would use a ratio. Students participate in activities and complete a ratios worksheet.
Types of Ratios
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.
Indirect Measurement Technique: Using Trigonometric Ratios
Ninth graders create clinometers using a protractor, weight, and string. They work in pairs to practice sighting objects above or below their line of sight. Students use ratios of right triangles to determine the height of a predetermined object.
Review of Trig Ratios
In this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of x in each triangle and evaluate.