6th Grade Math
Parent Letter
Chapter 9
There are two main concepts we will be focusing our instruction around in chapter 9: First, students will calculate volume
and surface area of right-rectangular prisms; Second, students will expand on what they learned in previous lessons and
calculate part-whole relationships as they relate to percentages. Students will also need to use diagrams, such as double
number lines, to show their understanding. Our goal is to keep a balance of skill based learning along with enhancing our
student’s ability to problem solve and think conceptually.
Review Material from Prior Grades
5.MD.C.5a
Volume of right rectangular prisms with whole-number side lengths.
5.MD.C.5b
Apply formulas 𝑉 = 𝑙 ∙ 𝑤 ∙ ℎ and 𝑉 = 𝑏 ∙ ℎ for right-rectangular prisms in real world.
New Material for 6th Grade
6.RP.A.3c
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of
equivalent ratios, tape diagrams, double number line diagrams, or equations.
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems
involving finding the whole, given a part and the percent.
6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate
unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of
the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths
in the context of solving real-world and mathematical problems.
6.G.A.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface
area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
End of Chapter Expectations
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Skills assessment will cover all of the material from prior grades.
Quiz on the new material as it relates to conceptual understanding.
Performance-Based Assessment where students will work through problems covered in prior chapters.
Chapter assessment will cover the following skills: *
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Division of whole numbers
Add, subtract, multiply, and divide decimals
Calculate volume of right-rectangular prisms
Compute how many fractional cubes can be packed into a right-rectangular prism
Draw nets of three-dimensional figures
Calculate surface area of 3-D figures using nets
Calculate percent of a number
Use diagrams, such as a double number line, to calculate percentages or part-whole relationships
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*Please note the list above highlights the main skills to be assessed. Teachers may include additional content to meet the
needs of their students.