6th Grade Mathematics - Orange Board of Education

6th Grade Mathematics

Geometry: Solve Real-World Math Problems Involving Area, Surface Area, & Volume Unit 4 Curriculum Map: April 6th ? June 20th

ORANGE PUBLIC SCHOOLS OFFICE OF CURRICULUM AND INSTRUCTION

OFFICE OF MATHEMATICS

6th Grade Unit 4: Geometry

April 7th ? June 20th

I. Unit Overview II. MIF Pacing Guide III. Pacing Calendar IV. Math Background V. PARCC Assessment Evidence Statement VI. Connections to Mathematical Practices VII. Vocabulary VIII. Potential Student Misconceptions IX. Teaching to Multiple Representations X. Unit Assessment Framework XI. Performance Tasks XII. Extensions and Sources

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p. 5-7 p. 8 p. 9-13 p. 14 p. 15 p. 16 p. 17-19 p. 20 p. 21-30 p. 31

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6th Grade Unit 4: Geometry

Unit Overview

In this unit, students will ....

April 7th ? June 20th

Understand measurement of polygonal surfaces and three-dimensional objects. Study four kinds of measurements appropriate for Grade 6: perimeter, area, surface

area, and volume Build a robust understanding of what it means to measure area, perimeter, surface area,

and volume. Develop strategies for measuring perimeter and area of both rectangular and

nonrectangular shapes. Use their understanding of area of rectangles to develop strategies for finding area of

triangles, parallelograms, and other polygons, and extend this understanding to threedimensional objects. Find the areas of individual faces of objects to find total surface area, and they incorporate height into their calculations to find volume of rectangular prisms. Determine the number of square units needed to cover the surface of the shape of a polygon. Find the number of linear units needed to surround the shape of the polygon. Students Use these definitions to develop area and perimeter formulas for triangles and parallelograms. Look for patterns or regularities that lead to more efficient strategies and formulas. Formulate rules for finding area and perimeter of rectangles, triangles, and parallelograms as they discuss their strategies. relate these concepts to three-dimensional figures Develop an understanding of the distinction between area and perimeter as they investigate the relationship between the perimeter and shape of a rectangle when it has a fixed area.

Investigate the relationship between the area and shape of a rectangle when it has a

fixed perimeter, which leads to the idea of maximum and minimum.

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6th Grade Unit 4: Geometry

MIF Pacing Guide

April 7th ? June 20th

Activity Chapter 9

New Jersey Student Learning Estimated

Standards (NJSLS)

Time

Unit 4: Geometry Chapter 9 Pre-Test / Recall Prior Knowledge

6.NS.6, 6.NS.6c, 6.NS.7c, 6.NS.8 2 Blocks 6.G.3

Chapter 9: Transition Lesson

6.NS.6, 6.NS.6c, 6.NS.7c, 6.NS.8 1 Blocks 6.G.3

Points on the Coordinate Plane (Lesson 9.1) 6.NS.6, 6.NS.6c 6.G.3

2 Blocks

Length of Line Segments (Lesson 9.2)

6.NS.8, 6.EE.2c, 6.G.3

2 Block

Real-World Problems: Graphing (Lesson 9.3) 6.NS.8, 6.RP.3a, 6.RP.3b, 6.G.3 2 Blocks

Chapter 9 Wrap-Up/ Review

6.NS.6, 6.NS.6c, 6.NS.7c, 6.NS.8 2 Blocks 6.RP.3a, 6.RP.3b 6.G.3

Chapter 9 Assessment

6.NS.6, 6.NS.6c, 6.NS.7c, 6.NS.8 1/2 Block 6.RP.3a, 6.RP.3b 6.G.3

Total Time

11 ? Blocks

Major Work

Supporting Content

Additional Content

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6th Grade Unit 4: Geometry

Activity Chapter 10

April 7th ? June 20th

New Jersey Student Learning Estimated

Standards (NJSLS)

Time

Unit 4: Geometry Chapter 10 Pre-Test / Recall Prior Knowledge

6.EE.2c, 6.G.1, 6.G.3

2 Blocks

Chapter 10: Transition Lesson

6.EE.2c, 6.G.1, 6.G.3

1 Blocks

Areas of Triangles (Lesson 10.1)

6.EE.2c 6.G.1

2 Blocks

Length of Line Segments (Lesson 10.2)

6.G.1, 6.G.3

3 Block

Areas of Parallelograms (Lesson 10.3)

6.G.1

2 Blocks

Area of Other Polygons (Lesson 10.4)

6.G.1

2 Blocks

Chapter 10 Wrap-Up/ Review

6.EE.2c, 6.G.1, 6.G.

2 Blocks

Chapter 10 Assessment

? Block

Total Time

14 ? Blocks

Major Work

Supporting Content

Additional Content

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