Chapter 10 Geometry Part 1

1.Polygons on a Coordinate Grid 2.Nets of Polyhedrons 3.Surface Area of Polyhedrons 4.Surface Area Continued 5.Spring Break Day…..

Day 1

Vocabulary ______ _______ ________________ _______ ______ Any side of a parallelogram. The amount of space in a two dimensional shape. Cube- Base- Area- Edge- Depth- A line segment joining two corners. A box-shaped solid object that has six identical square faces. The horizontal distance from front to back. Composite Figures- A figure made up of two or more 2-d figures.

Vocabulary ______ ________ _____ _____________ ____________ _______ The shortest distance from the base of a parallelogram to its opposite side. The vertical distance from top to bottom. Any of the individual surfaces of a solid object. Net - Height - Prism - Face - Polyhedron - Plane Shapes - A three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. A two-dimensional pattern of a three-dimensional figure that can be folded/unfolded to show the form of the figure. A prism is a polyhedron consisting of two parallel, congruent faces called bases. Two dimensional figures. Flat Shapes Length - The distance from one side to another.

Vocabulary ________ _______ ________ _______ _____________ __________ _________ A parallelogram having four right angles. A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. Square - Rectangle - Triangle - Pyramid- Trapezoid - Surface Area - A quadrilateral with one pair of parallel sides A rectangle having four right angles and four congruent sides. A figure with three sides and three angles. The total area of the surface of a three-dimensional object. Sphere - A geometrical figure that is perfectly round, 3-dimensional and circular - like a ball.

Vocabulary _______ ________ _______ The amount of space inside a three dimensional shape. (plural: vertices) is a point where two or more straight lines meet. It is a Corner. Volume - Vertex - Width- The horizontal distance across a figure.

I Can…. Graph polygons on a coordinate grid

Polygons and the Coordinate Plane Essential Understandings: To graph a polygon on a coordinate grid, simply plot the given vertices. Example: It may be necessary to use your knowledge of plane shapes to determine the ordered pair for an unknown vertex. Example:

I Can…. Calculate the area of polygons on a coordinate grid

Area and the Coordinate Plane Essential Understandings: To determine the area of a polygon on a grid, you will need to use your knowledge of absolute value (distance) and the area formulas for common polygons. It may be necessary to use your knowledge of composite figures, as well. – Step one: Identify the figure(s) and the appropriate formula(s) for the desired area. Example: – Step two: Determine the necessary measurements, by determining the distance between the two appropriate points. Example: – Step three: Substitute the found measurements into previously determined formula. Example: – Step four: Calculate Example:

Wrap it Up Review Questions Exit Tickets

Day 2

Bell Work

Vocabulary ______ _______ ________________ _______ ______ Any side of a parallelogram. The amount of space in a two dimensional shape. Cube- Base- Area- Edge- Depth- A line segment joining two corners. A box-shaped solid object that has six identical square faces. The horizontal distance from front to back. Composite Figures- A figure made up of two or more 2-d figures.

Vocabulary ______ ________ _____ _____________ ____________ _______ The shortest distance from the base of a parallelogram to its opposite side. The vertical distance from top to bottom. Any of the individual surfaces of a solid object. Net - Height - Prism - Face - Polyhedron - Plane Shapes - A three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. A two-dimensional pattern of a three-dimensional figure that can be folded/unfolded to show the form of the figure. A prism is a polyhedron consisting of two parallel, congruent faces called bases. Two dimensional figures. Flat Shapes Length - The distance from one side to another.

Vocabulary ________ _______ ________ _______ _____________ __________ _________ A parallelogram having four right angles. A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. Square - Rectangle - Triangle - Pyramid- Trapezoid - Surface Area - A quadrilateral with one pair of parallel sides A rectangle having four right angles and four congruent sides. A figure with three sides and three angles. The total area of the surface of a three-dimensional object. Sphere - A geometrical figure that is perfectly round, 3-dimensional and circular - like a ball.

Vocabulary _______ ________ _______ The amount of space inside a three dimensional shape. (plural: vertices) is a point where two or more straight lines meet. It is a Corner. Volume - Vertex - Width- The horizontal distance across a figure.

Homework Check

I Can…. Identify nets of polyhedrons.

Polyhedrons Essential Understanding: A polyhedron is a three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. In sixth grade we focus on two main types of polyhedrons – Prisms: A prism is a polyhedron, with two parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base – Pyramids: A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex.

Polyhedron Nets Essential Understanding: Nets are used to find the surface area of a three dimensional figures. Nets are two dimensional layouts of three dimensional figures. In this unit we will focus on nets of prisms and pyramids. Nets for three dimensional shapes can be classified by identify the base(s) – A prism will have two congruent polygonal bases, and three or more parallelogram faces. Example: – A pyramid will have only one polygonal base and three or more triangular faces. Example: – The number of faces a solid has is determined by the number of edges the base has. Example:

Wrap it Up Review Questions Exit Tickets

Day 3

Bell Work

Vocabulary ______ _______ ________________ _______ ______ Any side of a parallelogram. The amount of space in a two dimensional shape. Cube- Base- Area- Edge- Depth- A line segment joining two corners. A box-shaped solid object that has six identical square faces. The horizontal distance from front to back. Composite Figures- A figure made up of two or more 2-d figures.

Vocabulary ______ ________ _____ _____________ ____________ _______ The shortest distance from the base of a parallelogram to its opposite side. The vertical distance from top to bottom. Any of the individual surfaces of a solid object. Net - Height - Prism - Face - Polyhedron - Plane Shapes - A three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. A two-dimensional pattern of a three-dimensional figure that can be folded/unfolded to show the form of the figure. A prism is a polyhedron consisting of two parallel, congruent faces called bases. Two dimensional figures. Flat Shapes Length - The distance from one side to another.

Vocabulary ________ _______ ________ _______ _____________ __________ _________ A parallelogram having four right angles. A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. Square - Rectangle - Triangle - Pyramid- Trapezoid - Surface Area - A quadrilateral with one pair of parallel sides A rectangle having four right angles and four congruent sides. A figure with three sides and three angles. The total area of the surface of a three-dimensional object. Sphere - A geometrical figure that is perfectly round, 3-dimensional and circular - like a ball.

Vocabulary _______ ________ _______ The amount of space inside a three dimensional shape. (plural: vertices) is a point where two or more straight lines meet. It is a Corner. Volume - Vertex - Width- The horizontal distance across a figure.

Homework Check

I Can…. Calculate the surface area of prisms

Surface Area of a Prism Essential Understanding: A prism will have two congruent polygonal bases and three or more parallelogram faces. To calculate the surface area of a pyramid, begin by creating a net to illustrate the figure two dimensional. Example: Next, carefully label all of the given dimensions. Example: Then, simply use the net to find area of each individual face/base. A table should be used to ensure precision. Example: Finally, add the areas of all faces to determine the total surface area. Example: area/calculate-surface-area-rectangular-prism-net

Wrap it Up Review Questions Exit Tickets

Day 4

Bell Work

Vocabulary ______ _______ ________________ _______ ______ Any side of a parallelogram. The amount of space in a two dimensional shape. Cube- Base- Area- Edge- Depth- A line segment joining two corners. A box-shaped solid object that has six identical square faces. The horizontal distance from front to back. Composite Figures- A figure made up of two or more 2-d figures.

Vocabulary ______ ________ _____ _____________ ____________ _______ The shortest distance from the base of a parallelogram to its opposite side. The vertical distance from top to bottom. Any of the individual surfaces of a solid object. Net - Height - Prism - Face - Polyhedron - Plane Shapes - A three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. A two-dimensional pattern of a three-dimensional figure that can be folded/unfolded to show the form of the figure. A prism is a polyhedron consisting of two parallel, congruent faces called bases. Two dimensional figures. Flat Shapes Length - The distance from one side to another.

Vocabulary ________ _______ ________ _______ _____________ __________ _________ A parallelogram having four right angles. A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. Square - Rectangle - Triangle - Pyramid- Trapezoid - Surface Area - A quadrilateral with one pair of parallel sides A rectangle having four right angles and four congruent sides. A figure with three sides and three angles. The total area of the surface of a three-dimensional object. Sphere - A geometrical figure that is perfectly round, 3-dimensional and circular - like a ball.

Vocabulary _______ ________ _______ The amount of space inside a three dimensional shape. (plural: vertices) is a point where two or more straight lines meet. It is a Corner. Volume - Vertex - Width- The horizontal distance across a figure.

Homework Check

I Can…. Calculate surface area.

Surface Area of a Pyramid Essential Understanding: A pyramid will have only polygonal bases and three or more triangular faces. To calculate the surface area of a pyramid, begin by creating a net to illustrate the figure two dimensional. Example: Next, carefully label all of the given dimensions. Example: Then, simply use the net to find area of each individual face/base. A table should be used to ensure precision. Example: Finally, add the areas of all faces to determine the total surface area. Example:

Wrap it Up Review Questions Exit Tickets

Day 5

Spring Break Begins Don’t Forget You Have Homework!!!

Vocabulary ______ _______ ________________ _______ ______ Any side of a parallelogram. The amount of space in a two dimensional shape. Cube- Base- Area- Edge- Depth- A line segment joining two corners. A box-shaped solid object that has six identical square faces. The horizontal distance from front to back. Composite Figures- A figure made up of two or more 2-d figures.

Vocabulary ______ ________ _____ _____________ ____________ _______ The shortest distance from the base of a parallelogram to its opposite side. The vertical distance from top to bottom. Any of the individual surfaces of a solid object. Net - Height - Prism - Face - Polyhedron - Plane Shapes - A three dimensional figure with flat polygonal faces, straight edges, and sharp corners or vertices. A two-dimensional pattern of a three-dimensional figure that can be folded/unfolded to show the form of the figure. A prism is a polyhedron consisting of two parallel, congruent faces called bases. Two dimensional figures. Flat Shapes Length - The distance from one side to another.

Vocabulary ________ _______ ________ _______ _____________ __________ _________ A parallelogram having four right angles. A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. Square - Rectangle - Triangle - Pyramid- Trapezoid - Surface Area - A quadrilateral with one pair of parallel sides A rectangle having four right angles and four congruent sides. A figure with three sides and three angles. The total area of the surface of a three-dimensional object. Sphere - A geometrical figure that is perfectly round, 3-dimensional and circular - like a ball.

Vocabulary _______ ________ _______ The amount of space inside a three dimensional shape. (plural: vertices) is a point where two or more straight lines meet. It is a Corner. Volume - Vertex - Width- The horizontal distance across a figure.