This lesson shows students how to convert between the colon and fraction format with ratios. It is 6 of 13 in the series titled "Converting Between Fraction and Colon Format." [2:14]
This lesson [1:49] introduces the student to how a fraction can be rewritten as a whole number. It is 1 of 11 in the series titled "Converting Fractions to Whole Numbers."
In this video segment from Cyberchase, the CyberSquad and Digit construct a physical profile of the person who kidnapped Choocroca, a giant cybercrocodile. [2:49]
Carla's birthday cash is burning a hole in her pocket, but the stores downtown have her in a bind! Her favorite three stores all have sales - "Buy Two Get One Free," "40% off Everything," and "Buy One Get One Half Off." Which sale will give Carla the most bang for her buck?
In this interactive lesson, students will experience the engineering design process as an aerospace engineer assigned to design and test an airplane.
Students use their height and the length of the shadow to determine the height of buildings. A great outdoor activity to learn about proportions and ratios.
This resource presents an interesting challenge for the serious mathematician with strong reasoning skills. Explore proportional reasoning, probabilities, fractions, and ratios in this challenge to figure out if you always get six hours of recording on a 120 minute video tape. A one page activity from the NCTM Math Challenges for Families collection that connects this skill to real world applications.
Download and print these worksheets to sharpen your skills working with fractions. Worksheets focus on modeling fractions, ratios and proportions, comparing, ordering, simplifying, converting, and order of operations.
How do simple machines and gears help devices work? In this challenge, learners will explore how gears are used in machines and mechanisms. Gears are closely related to simple machines and provide a mechanical advantage in machines. Devices worldwide contain gears and are components critical in mechanical engineering design.
This is a 3-hour lesson that includes a self-paced interactive module and classroom activities. The teacher guide includes a challenge sequence (timeline), relevance to standards, materials list, assessment, evaluation rubric, and learning extensions.
Lesson objectives: (1) Explore the connection between gears and simple machines. (2) Differentiate how different gears do work, transfer power, speed and direction. (3) Design, build and demonstrate a simple model of a gear train.
Video lesson shows how to graph the equation of a line that represents a proportional relationship given an equation. [3:08]
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.
Get independent practice working with ratios, rates and unit rates. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Watch as the National Museum of Mathematics creates an interesting series of images using ratios. This video focuses on the proportional relationship observed in fractals and challenges you to do some critical thinking using ratios and scale factors. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
This lab exercise exposes students to a potentially new alternative energy source hydrogen gas. Student teams are given a hydrogen generator and an oxygen generator. They balance the chemical equation for the combustion of hydrogen gas in the presence of oxygen. Then they analyze what the equation really means. Two hypotheses are given, based on what one might predict upon analyzing the chemical equation. Once students have thought about the process, they are walked through the experiment and shown how to collect the gas in different ratios. By trial and error, students determine the ideal combustion ratio. For both volume of explosion and kick generated by explosion, they qualitatively record results on a 0-4 scale. Then, students evaluate their collected results to see if the hypotheses were correct and how their results match the theoretical equation. Students learn that while hydrogen will most commonly be used for fuel cells (no combustion situation), it has been used in rocket engines (for which a tremendous combustion occurs).
This video series introduces key Common Core concepts in 4th-8th grade mathematics. Each video focuses on building a conceptual understanding of a topic so that students understand the "how" and "why" behind mathematical problem-solving.
Brush up on your math skills relating to proportions then try some practice problems to test your understanding.
Brush up on your math skills relating to ratios then try some practice problems to test your understanding.
In this video segment from Cyberchase, the CyberSquad must scale down a large boat to escape the land of Proporciona, a land of giants.
This is an introductory lesson about the trigonometric function sine. Students will study several similar right triangles and the ratio of certain two sides in them.
Watch a video of a student thinking through the concept of equivalent ratios and then demonstrate understanding in this interactive from KET. Students review the meaning of equivalent ratio and use the Visualize It! tool to verify that two or more ratios are in fact equivalent.
Students think about how fractional measurements relate to scale models, learn about alternate ways of expressing scale ratios, and demonstrate understanding of fractions and scale in this interactive from KET. After watching video clips, students use the Notes tool in the interactive to comment on the peer's reasoning, answer questions about scale ratios, and determine the heights of real objects based on scale ratios and models.