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Assignment 8.2 - Area: Congruent Polygons, Addition and Subtraction

Assignment 8.4 - Area of Rectangular Regions

Assignment 8.3 - Area of a Rectangle

Assignment 8.8 - Area of a Rhombus and Area of a Kite

Assignment 8.9 - Area of Regular Polygons

Assignment 8.7 - Area of a Trapezoid

Assignment 8.12 - Area and Perimeter of Polygons

Assignment 8.14 - Geometric Probability

Assignment 8.15 - Polyhedrons

Assignment 8.17 - Prisms

Assignment 8.18 - Surface Area of Prisms

Assignment 8.19 - Pyramids

Assignment 8.20 - Surface Area of Regular Pyramids

Objectives:  Develop and apply area formulas for rectangles and squares.

Objective:  Calculate areas of rectangular regions using addition and subtraction..

Assignment 8.6 - Area of a Triangle

Objectives:  Develop a formula for areas of triangles.  Apply the formula to acute, right, and obtuse triangles.

Objective:  Develop and apply a formula for areas of trapezoids.

Assignment 8.11 - Areas of Equilaterals Triangles and Regular Hexagons

Assignment 8.16 - Surface Area of Polyhedrons

Objective:  Develop and apply a formula for areas of rhombuses and kites.

Objective:  Develop and apply a formula for areas of regular polygons.

Objective:  Find areas of triangles and quadrilaterals using the Pythagorean Theorem to find lengths of bases and heights.

Objective:  Develop and apply theorems and formulas to find areas of equilateral triangles and regular hexagons.

 

Objectives:  Apply formulas to find area and perimeter of polygons.  Use given areas to calculate perimeters.  Use given perimeters to calculate areas.

Objective:  Develop and apply a theorem relating the areas of similar polygons to the ratio of their scale factors.

Objective:  Calculate geometric probabilities determined by areas of polygons.

Objectives:  Name faces, edges, and vertices of polyhedrons.​  Classify polygons.  Develop and apply Euler's theorem relating the number of faces, vertices, and edges of polyhedrons.

Objective:  Calculate surface area of polyhedrons.

Objectives:  Name bases and lateral faces of prisms.​  Identify rectangular solids and cubes.  Identify heights of prisms.

Objective:  Develop and apply a formula for finding surface area of prisms.

Objective:  Name the base, faces, and vertex of pyramids.  Identify the height and slant height of pyramids.  Calculate heights and slant heights of pyramids using the Pythagorean Theorem.

Objective:  Develop and apply a formula for finding the surface area of regular pyramids.

Objectives:  Use congruent polygons to find areas.  Calculate areas of polygons by adding or subtracting.

Assignment 8.13 - Ratio of Areas of Similar Polygons

Objective:  Count cubes to measure the volume of rectangular solids.

Objectives:  Count squares to measure the area of polygons.  Use the one-half rule to estimate the area of polygons.

Objective:  Develop and apply a formula for areas of parallelograms.

Worksheets for Unit 8: Area and Volume

Assignment 8.21 - Volume

Assignment 8.22 - Volume of rectangular Solids, Cubes, and Prisms

Assignment 8.24 - Ratio of Volumes of Similar Polyhedrons

Objective:  Develop and apply formulas for the volume of rectangular solids, cubes, and prisms.

Objective:  Develop and apply a formula for finding the volume of pyramids.

Objective:  Develop and apply a theorem relating scale factors and volumes of similar polyhedrons.

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