Name:____________________



Learning Outcomes for Unit 2:

Measurement

These are things that you will be expected to do by the end of this unit:

1. Convert between the imperial system (inches, feet) and the metric system (cm, ml, etc.);

2. Solve problems involving 2D areas and perimeters of composite figures, in situations arising from real-world applications;

3. Solve problems involving 3D volumes and surface areas of composite objects, in situations arising form real-world applications

4. Investigate the optimal dimensions of 2D shapes for minimizing perimeter and maximizing area;

5. Investigate the optimal dimensions of 3D shapes in order to minimize surface area and maximize volume (capacity);

Formulas: Please refer to your formula Pages

1. Conversion Charts

2. Area, Perimeter, Surface Area and Volume Formulas

|2D Optimization of Rectangles | |Perimeter = 4s |

| |4 Sided – |Area = s2 |

| |Make a square | |

| | | |

| | |Perimeter = 4w |

| |3 Sided – |Area = 2w2 |

| |Length = 2 x width | |

| | |Surface Area = 6s2 |

| |Rectangular Prism – |Volume = s3 |

|3D Optimization |Make a cube | |

| | | |

| | | |

| |Cylinder – | |

| |Height = Diameter |Surface Area = 6[pic]r2 |

| | |Volume= 2[pic]r3 |

Vocabulary: You need to understand the meaning of the following terms

▪ Perimeter

▪ Area

▪ Prism

▪ Capacity

▪ Volume

▪ Surface Area

▪ Composite object

▪ Composite figure

▪ Optimization

Applications of Trigonometry:

▪ Area, volume, and surface area calculations are important when estimating the supplies needed for painting, pouring concrete and other construction jobs.

▪ Knowledge of surface area and volume can also help manufacturers reduce the amount of material used to package items and therefore reduce the cost.

▪

Unit 2: Measurement Homework Sheet

| | | |Check |

|Topic |Summary |Practice Work | |

| | | | |

|Review x 2 | |p.60 #1-2 p.64 #12 | |

|Measurement Conversions |Formula Sheets |p.62 #1-4 p.65 #1 | |

|Area and Perimeter of 2D shapes | |p.63 #1-2 | |

|Volume and Surface Area of 3D Shapes | | | |

| | | | |

|2.1: 2D Composite Figures and Area Applications |Formula Sheet |p. 71-74 | |

|Definitions: Area, Perimeter, Composite Figures |p.119 |#4, 6, 9-10, 12-14 | |

| | | | |

|2.2: 3D Composite Objects |Formula Sheet |p. 81-85 | |

|Definitions: Volume, Surface Area |p.119 |# 3 Calculate Volume & SA | |

| | |# 4, 15-17 | |

| | | | |

|Mid-Chapter Review |Formula Sheets |Practice Test #1 | |

|Begin Study Sheet (p.34) |Unit Outline | | |

| |p.119 |Tomorrow: Test #1 | |

|TEST PART 1 | |

| |Thursday, February 28th, 2013 |

| | | | |

|2.3 Optimizing Area & Perimeter (2D) |Unit Outline |p. 94-96 | |

|Maximize an area given a perimeter |p.119 |# 1, 2ab, 3ab, 4, 6, 12-14 | |

|Minimize perimeter given an area | | | |

| | | | |

|2.6 Optimizing Volume & Surface Area (3D) |Formula Sheets |p.110-113 | |

|Maximize volume(capacity) given a surface area (material available) |Unit Outline |#1, 2, 4a, 5a, 12, 13 | |

|Minimize surface area (packaging cost) given a volume (capacity) |p.119 | | |

| | | | |

|Review | |Practice Test #2 | |

|Finish Study Sheet |p.36 |Tomorrow: Test #2 | |

|Review Journal | | | |

|TEST PART 2 | |

| |Wednesday, March 6th, 2013 |

| | |

|Assignment: A Winning Design |N/A |

Remember:

1. Review notes on a daily basis for understanding;

2. Complete all assigned tasks; and

3. DON’T BE AFRAID TO ASK QUESTIONS AND SEEK EXTRA HELP (

Materials: Come to class prepared to work every day with the following items

1. Paper

2. Pencil(s)

3. Eraser

4. Ruler

5. Scientific Calculator

6. Formula Sheets – Very important for this Unit!

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