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 Grade 6 Mathematics Module 1: Ratios and Unit Rates Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation,...

 Grade 6 Module 6: Statistics In this module, students move from simply representing data into analysis of data. Students begin to think and reason statistically, first by recognizing a statistical...

 Student Outcomes Students calculate the mean and MAD for a data distribution. Students use the mean and MAD to describe a data distribution in terms of center and variability.

 Grade 6 Module 5: Area, Surface Area, and Volume Problems In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area. ...

 Grade 6 Module 4: Expressions and Equations In Module 4, Expressions and Equations, students extend their arithmetic work to include using letters to represent numbers in order to understand that...

 Grade 6 Module 3: Rational Numbers Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the...

 Grade 6 Module 2: Arithmetic Operations Including Division of Fractions In Module 1, students used their existing understanding of multiplication and division as they began their study of ratios and...

 Student Outcomes Students apply the formulas for surface area and volume to determine missing dimensions of aquariums and water level.

 In Topic D, students synthesize what they have learned as they connect the graphical, verbal, and numerical summaries to each other within situational contexts, culminating with a major project (6.SP...

 In Grade 5, students recognized volume as an attribute of solid figures. They measured volume by packing right rectangular prisms with unit cubes and found that determining volume was the same as...

 Module 5 concludes with deconstructing the faces of solid figures to determine surface area. Students note the difference between finding the volume of right rectangular prisms and finding the...

 In Topic A, students begin to think and reason statistically, first by recognizing a statistical question as one that can be answered by collecting data (6.SP.A.1). Students learn that the data...

 In Topics B and C, students study quantitative ways to summarize numerical data sets in relation to their context and to the shape of the distribution. The mean and mean absolute deviation (MAD) are...

 In Topics B and C, students study quantitative ways to summarize numerical data sets in relation to their context and to the shape of the distribution. The mean and mean absolute deviation (MAD) are...

 Students write and evaluate expressions and formulas in Topic F. They use variables to write expressions and evaluate those expressions when given the value of the variable (6.EE.A.2). From there,...

 In Topic G, students are introduced to the fact that equations have a structure similar to some grammatical sentences. Some sentences are true: “George Washington was the first president of the...

 In Topic H, students use their prior knowledge from Module 1 to contruct tables of independent and dependent values in order to analyze equations with two variables from reallife contexts. They...

 In Topic A, students use composition and decomposition to determine the area of triangles, quadrilaterals, and other polygons. They determine that area is additive. Students learn through...

 In Module 3, students used coordinates and absolute value to find distances between points on a coordinate plane (6.NS.C.8). In Topic B, students extend this learning to Lessons 7 and 8 where they...

 In Grades 4 and 5, students used concrete models, pictorial representations, and properties to divide whole numbers (4.NBT.6, 5.NBT.6). They became efficient in applying the standard algorithm for...

 In Topic D, students think logically about multiplicative arithmetic. Students apply odd and even number properties and divisibility rules to find factors and multiples. They extend this...

 Topic A focuses on the development of the number line in the opposite direction (to the left or below zero). Students use positive integers to locate negative integers, understanding that a number...

 In Topic B, students apply their understanding of a rational number’s position on the number line (6.NS.C.6c) to order rational numbers. Students understand that when using a conventional horizontal...

 In Topic C, students extend their understanding of the ordering of rational numbers in one dimension (on a number line) to the twodimensional space of the coordinate plane. They construct the plane...