6th Grade Math Guide

AREA AND SURFACE AREA

Unit 1

PACING

SUGGESTED CALCULATOR USE KEY LANGUAGE USES

August 21 - September 28 (28 days)

Yes

EXPLAIN

STANDARDS

Standard 6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing and decomposing into rectangles, triangles and/or other shapes; apply these techniques in the context of solving real-world and mathematical problems. Standard 6.G.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 = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. Standard 6.G.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.

Standard 6.EE.1 Write and evaluate numerical expressions involving whole-number exponents.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS

I can explain how to find the surface area of a figure. Language Supports: ●

Vocabulary (Surface area, centimeters squared, inches squared, etc.)

I can explain how to find the area of a figure by decomposing and rearranging. Language Supports: ● Vocabulary (Area, decompose, rearrange, move, etc.) DIFFERENTIATION IN ACTION

Skill Building

In Lesson 5, practice verbal use of the mathematical language “base” and “height.” As students are comparing parallelograms and examples/non-examples of correct heights, encourage them to re- voice their partners’ reasoning. Reinforce the meaning of “perpendicular” by u sing visuals (e.g., manipulatives, drawings, gestures) of right angles. From Lesson 12 Are You Ready for More? How many sticky notes are needed to cover the outside of 2 cabinets pushed together (including the bottom)? What about 3 cabinets? 20 cabinets?

Extension

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