 ##### For Schools

Welcome to the Sixth Grade Math homepage! In sixth grade, students continue to build upon the foundation laid in previous years, focusing on key concepts such as fractions, decimals, and percentages, while also venturing into more complex topics like ratios and proportions. Sixth graders engage with algebraic thinking, exploring variables and basic equations, which sets the stage for more advanced algebraic concepts in the future. Geometry becomes more intricate as sixth graders explore properties of shapes and study area, volume, and surface area. Across all units of study, sixth graders will continue to be challenged to think critically, make real-world connections, and apply problem-solving skills. ## Getting Started

To support alignment with common DC curricula, please review the Sixth Grade Pacing Guide.

## 6th Grade Math Unit Materials

In this unit, sixth graders learn to differentiate between different strategies and formulas to calculate the area of various polygons, such as rectangles, triangles, and parallelograms. Students also explore surface area, extending their understanding to three-dimensional shapes like rectangular prisms and cylinders, learning how to calculate the total surface area of these objects.

In this unit, students develop a solid understanding of ratios as a way to compare and relate quantities. They learn to express ratios in different forms (such as a:b, a to b, or a/b) and use them to solve various mathematical and real-life problems. Through real-world examples and visual representations, sixth graders gain the ability to interpret and analyze ratios, laying the groundwork for more complex proportional reasoning in higher grades.

In this unit, students build on their study of ratios as they delve into the concept of unit rate. Students will discover how unit rate represents the relationship between two different quantities and how to calculate it to make meaningful comparisons. Additionally, they begin their journey into percentages, comprehending that percentages are ratios expressed out of 100 and learning how to convert between fractions, decimals, and percentages.

In this unit, students use models and equations to explore division in the arenas of both fractions and base ten. The unit opens with a thorough exploration of how to divide fractions first with models and pictures and then with equations. Then, students will explore how to use a number of strategies to multiply and divide decimals. Finally, students will use what they know to explore factors and multiples.

In this unit, students learn how to make sense of positive and negative numbers in different situations, like temperature or elevation. They also become familiar with terms like “positive number,” “negative number,” “rational number,” “opposite,” and “absolute value.” They will explore the idea of opposites and absolute value by understanding that the absolute value of a number tells us how far it is from zero on the number line. Towards the end, students practice plotting pairs of positive and negative numbers on a graph, and they figure out how the signs of these numbers relate to where the point is located. They also use these coordinates to find out how far apart two points are horizontally or vertically.

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