Practice solving ratio word problems like, "If Ben reads 10 pages in 15 minutes, how long does it take him to read 40 pages?" Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

The general manager of a fitness center explains how numerical calculations, percentages, and ratios are critical to his job in this video from KAET. In the accompanying classroom activity, students explore percentages, fractions, and decimals as they measure and calculate their own target heart rates.

Production scheduler Jessi Felde explains how she uses math in her work in this video from KAET. In the accompanying classroom activity, students watch the video and then complete an activity involving one aspects of math that Ms. Felde mentions: planning the number of employees needed to complete a task, given how much time it takes to complete each task. To get the most from the lesson, students should be comfortable multiplying fractions by whole numbers, and they should have some familiarity with unit rates.

Using this infographic, learn how wage equity today compares with data from 50 years ago, at the dawn of the equal pay movement. The accompanying classroom activity invites students to explore the change in the gender wage gap from 1965 to 2010. First, students will learn how the wage gap can be calculated from different median salaries for men and women. Then, students will consider the real monetary impact of increasing equity in wages-and will look to the graph for clues about when the wage gap will be eliminated, if at all.

The CyberSquad works with area to figure out how to power a skate park using solar panels in this interactive from WNET. In the accompanying classroom activity, students view and analyze a series of video clips from Cyberchase and complete an activity using area and ratio. Students take what they've learned and put it to the test by designing their own solar power dream house.

Use what you know about percents, ratios, and proportions to figure out the sale price in this real world application of math. See if you can figure out how they calculated the correct price for the shoes Carla likes. Combining percents can be tricky!

In this Cyberchase media gallery, learn about ratio and proportion and how to use an algebraic shortcut to solve proportion problems. In the accompanying classroom activity, students play a game called the "Pom-Pom Nose Push," in which they collect data and determine the ratio of time to distance.

Why are there two systems of measurement? How do we move between units in the same system? Students create and use foldables to convert measurement units.

In this video (3:09), life-size replicas help demonstrate one-dimensional scaling and the ratio relationship between two real-world quantities. The accompanying classroom activity helps students understand how ratios and proportions can help them determine an unknown height. This video is available in both English and Spanish audio, along with corresponding closed captions. Interactive Guide handout and Questions worksheet are available.

This video features the Louisville Slugger Museum and Factory, home to the world's largest bat. Students see the role that measurement and engineering play in making bats to professional players' specifications and are asked to consider the ratio relationship between the big bat outside the museum and a standard-size bat. In the accompanying classroom activity, students use proportional reasoning and equivalent ratios to determine how tall a statue of a ballplayer would have to be to match the height of the big bat.

Students learn how different characteristics of shapes—side lengths, perimeter and area—change when the shapes are scaled, either enlarged or reduced. Student pairs conduct a “scaling investigation” to measure and calculate shape dimensions (rectangle, quarter circle, triangle; lengths, perimeters, areas) from a bedroom floorplan provided at three scales. They analyze their data to notice the mathematical relationships that hold true during the scaling process. They see how this can be useful in real-world situations like when engineers design wearable or implantable biosensors. This prepares students for the associated activity in which they use this knowledge to help them reduce or enlarge their drawings as part of the process of designing their own wearables products. Pre/post-activity quizzes, a worksheet and wrap-up concepts handout are provided.

Dan has to run on a different track in the winter, how can he figure out his split time for the smaller track? This interactive exercise focuses on using what you know about ratios to calculate the correct split time for the different track, then challenges you to use ratios to solve similar problems.

When you are asked to make an object bigger or smaller, you will ask, "by how much?". In this case, scale factor can help answer the question. In this lesson, we will practice how to enlarge and reduce objects according to the scale factors given to us. A video tutorial is provided.

Watch this video lesson to learn how to write ratios in the lowest terms as well as in fraction and percent form. [1:09]

Graphs of linear relationships are basically just lines and dots. In this video, you will learn the skills to understand and analyze the graphs to get useful information from them. [1:29]

This lesson is designed to get students connecting their learning about unit rates to real life examples.

Find a quick, concise explanation of rates and ratios. Examples are given and clearly explained.

Take a look at this tutorial to see how to use a ratio to create equivalent ratios. [4:34]

Students apply their knowledge of scale and geometry to design wearables that would help people in their daily lives, perhaps for medical reasons or convenience. Like engineers, student teams follow the steps of the design process, to research the wearable technology field (watching online videos and conducting online research), brainstorm a need that supports some aspect of human life, imagine their own unique designs, and then sketch prototypes (using Paint®). They compare the drawn prototype size to its intended real-life, manufactured size, determining estimated length and width dimensions, determining the scale factor, and the resulting difference in areas. After considering real-world safety concerns relevant to wearables (news article) and getting preliminary user feedback (peer critique), they adjust their drawn designs for improvement. To conclude, they recap their work in short class presentations.

(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

El módulo 2 se basa en el trabajo previo de los estudiantes con unidades y con funciones del álgebra I, y con relaciones y círculos trigonométricos de la geometría de la escuela secundaria. El corazón del módulo es el estudio de definiciones precisas de seno y coseno (así como tangente y las cofunciones) utilizando geometría transformacional de la geometría de la escuela secundaria. Esta precisión lleva a una discusión de una unidad matemáticamente natural de medida rotacional, un radian, y los estudiantes comienzan a desarrollar fluidez con los valores de las funciones trigonométricas en términos de radianes. Los estudiantes grafican funciones trigonométricas sinusoidales y otras, y usan los gráficos para ayudar a modelar y descubrir propiedades de las funciones trigonométricas. El estudio de las propiedades culmina en la prueba de la identidad pitagórica y otras identidades trigonométricas.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
Module 2 builds on students' previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of precise definitions of sine and cosine (as well as tangent and the co-functions) using transformational geometry from high school Geometry. This precision leads to a discussion of a mathematically natural unit of rotational measure, a radian, and students begin to build fluency with the values of the trigonometric functions in terms of radians. Students graph sinusoidal and other trigonometric functions, and use the graphs to help in modeling and discovering properties of trigonometric functions. The study of the properties culminates in the proof of the Pythagorean identity and other trigonometric identities.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.