Illustrative Math Alignment: Grade 6 Unit 3

Topic

Ratios and Rates

Description

This example explores time unit conversion, specifically converting hours and minutes to seconds in the context of baking a pie. The image shows a steaming pie, providing a real-world scenario for the mathematical problem.

Understanding time unit conversions, especially when dealing with mixed units, is important in various fields such as cooking, manufacturing, and project management. This example demonstrates how to use conversion factors to change units, illustrating the practical application of multiplication in time-related scenarios.

Topic

Ratios and Rates

Description

This example focuses on time unit conversion in a sports context, specifically converting minutes and seconds to seconds for a horse race lap time. The image shows a horse, providing a visual context for the mathematical problem.

Understanding time unit conversions is crucial in many sports, especially those involving racing and timed events. This example demonstrates how to use conversion factors to change units and add different time units, illustrating the practical application of multiplication and addition in sports-related time scenarios.

Topic

Ratios and Rates

Description

This example explores time unit conversion in an IT context, specifically converting seconds to minutes for user session duration. The image shows a computer tower, providing a real-world scenario for the mathematical problem.

Understanding time unit conversions is crucial in many technological fields, especially in IT and user experience analysis. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of division in time-related measurement scenarios. It also introduces the concept of mixed numbers in the result.

Topic

Ratios and Rates

Description

This example focuses on ratios using black and green socks. The image displays a collection of socks, and students are tasked with determining the ratio of black socks to green socks. The solution shows that there are 2 pairs of black socks and 6 pairs of green socks, resulting in a ratio of 2 : 6, which simplifies to 1 : 3.

Topic

Ratios and Rates

Description

This example focuses on time unit conversion in an IT context, specifically converting seconds to hours for user session duration. The image shows a computer tower, providing a real-world scenario for the mathematical problem.

Topic

Ratios and Rates

Description

This example focuses on temperature unit conversion, specifically converting Celsius to Fahrenheit for the boiling point of water. The image shows a beaker of boiling water, providing a visual context for the mathematical problem.

Understanding temperature unit conversions is crucial in many scientific fields, including chemistry, physics, and meteorology. This example demonstrates how to use a conversion formula to change units, illustrating the practical application of mathematical equations in real-world temperature scenarios.

Topic

Ratios and Rates

Description

This example explores temperature unit conversion, specifically converting Fahrenheit to Celsius for the freezing point of water. The image shows icicles, providing a visual representation of the freezing temperature for the mathematical problem.

Topic

Ratios and Rates

Description

This example explores ratios using purple and red socks. The image shows a collection of socks, and students are asked to determine the ratio of purple socks to red socks. The solution reveals that there is 1 pair of purple socks and 4 pairs of red socks, resulting in a ratio of 1 : 4, which is already in its simplest form.

Topic

Ratios and Rates

Description

This example focuses on ratios using black and green socks among a variety of colored socks. The image displays pairs of socks in black, green, orange, yellow, blue, and red. Students are asked to determine the ratio of black socks to green socks. The solution shows that there are 2 pairs of black socks and 10 pairs of green socks, resulting in a ratio of 2 : 10, which simplifies to 1 : 5.

Topic

Ratios and Rates

Description

This example explores ratios using geometric shapes of different colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of circular shapes to yellow objects. The solution reveals that there are 2 circular shapes and 1 yellow object, resulting in a ratio of 2 : 1, which is already in its simplest form.

Topic

Ratios and Rates

Description

This example focuses on ratios using geometric shapes. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of triangles to quadrilaterals. The solution shows that there are 4 triangles and 6 quadrilaterals, resulting in a ratio of 4 : 6, which simplifies to 2 : 3.

Topic

Ratios and Rates

Description

This example explores ratios using geometric shapes and colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of octagons to blue shapes. The solution reveals that there are 2 octagons and 5 blue shapes, resulting in a ratio of 2 : 5, which is already in its simplest form.

Topic

Ratios and Rates

Description

This example introduces the concept of ratios in genetics using a Punnett square. The image shows genetic combinations for a flower's color, including RR, Rw, and ww, with corresponding images of red and white flowers. Students are asked to determine the ratio of different gene combinations.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.

This is part of a collection of math examples that focus on ratios, proportions, and percents.