Sixth grade mathematics is about (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking.
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Homework and Exam Calendar
Scope & Sequence
Year-Long Scope & Sequence
Year-Long Overview & Pacing Guide
6.1 Rational Numbers
In this unit, students will learn to use positive and negative numbers on number lines in the coordinate plane. They will also reflect figures in the coordinate plane.
6.2 Fractions and Decimals
Students will apply and extend knowledge of operations to fractions and decimals.
Ratios and percents are the main focus in this unit. Students will explore this topic using double number lines, tape diagrams and ration tables. They will also find equivalent ratios and compare ratios. This will set the stage for working in greater depth with percents.
In this unit, students will write and evaluate expressions. They will identify equivalent expressions and apply properties of operations. Geometric models will be used to explore greatest common factors and least common multiples of number pairs.
6.5 Equations and Inequalities
In this unit, you will learn about equations and inequalities. You will start by identifying a counterfeit coin by using a balance scale and learning how to write the equations or inequalities that represent the scale. You will then continue to use the balance scale to investigate the addition property of equality and to reason about the multiplication property of equality. These two properties will help you solve problems related to real-world situations, such as finding the cost of a pizza and the minimum height required to ride a roller coaster.
Unit 5 - Equations and Inequalities HW
Unit 5 - Equations and Inequalities HW - Answer Key
How fast is the track athlete running? What is the number of beats per minute in your favorite song? How many miles does a car go per gallon of gas? These are all examples of rates in our everyday life. In this unit, you will refine your own definition for rate and then use it to recognize rate in different situations. You will represent quantitative relationships involving rates in tables, graphs, number lines, and formulas.
6.7 Putting Math to Work
Lightning, gummy bears, and your own project! Learn how to tackle more complex problems.These problems use many math concepts you have learned over this past year. Grappling with these problems will improve your problem-solving strategies so that you can apply them to your own project.
6.8 Distributions and Variability - CURRENT UNIT
How tall is a typical sixth grade student? What is the typical math quiz score for your class? How many points does the average basketball player score in a game? These are all examples of statistical questions, which can only be answered by gathering and analyzing data. In this unit you will learn how to construct this type of question, as well as how to gather data, analyze the results, and present your findings.
Unit 8 - Distributions and Variability HW
Unit 8 - Distributions and Variability HW - Answer Key
6.9 Surface Area and Volume
In this unit, you will investigate the surface area and volume of different shapes. Surface area is a measure of how much space a surface covers. The volume of a container tells you how much the container will hold. You will learn how to find the area of both regular and irregular shapes, such as a triangle or the surface of a lake. You will also learn how to make a 3-D figure out of a net, and how to find the volume of that figure. At the end of the unit, you will use your new skills to tackle a real-world problem of how to pack a truck most efficiently.