Illustrative Math Alignment: Grade 6 Unit 2

Introducing Ratios

Lesson 16: Solving More Ratio Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Video Tutorial: Ratios, Video 7	Video Tutorial: Ratios, Video 7 Topic Ratios Description This video explains generating and comparing equivalent ratios. Examples include simplifying fractions, determining similarity in geometric shapes, and integrating multiple ratios into a comprehensive ratio. Applications extend to geometry and proportional reasoning.	Ratios and Rates
Video Tutorial: Ratios, Video 8	Video Tutorial: Ratios, Video 8 Topic Ratios Description This video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions.	Ratios and Rates
Video Tutorial: Ratios, Video 9	Video Tutorial: Ratios, Video 9 Topic Ratios Description The video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks.	Ratios and Rates
Video Tutorial: Ratios, Video 10	Video Tutorial: Ratios, Video 10 Topic Ratios Description Proportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications.	Ratios and Rates
VIDEO: Algebra Applications: Variables and Equations, 3	VIDEO: Algebra Applications: Variables and Equations, 3 Topic Equations Description The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.	Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents