Geometry Part 4

1.Surface Area 2.Introduction to Volume 3.Volume of a Rectangular Prism 4.Using Models to Find Volume 5.End of Unit Assesment 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 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 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…. Calculate Surface Area

Wrap it Up Review Questions Exit Tickets

Day 2

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 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 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.

Bell Work

Homework Check

I Can…. Calculate Volume

Volume of a Prism Essential Understanding: A rectangular prism has three dimensions: length (l), width (w), and height (h). Another way to think about the volume formula is as follows: V = l w h = (l w) h. Since l w is the area of the prism's base, you can think of the volume formula as the area of the base times the height, or V = Bh To find the area of a prism, begin by identifying the given dimensions for length, width, and height. Example: Next substitute the measurements into the formula V=lwh Example: Finally, calculate the volume. Example: Remember: perimeter=units area=unit squared volume=units cubed

Wrap it Up Review Questions Exit Tickets

Day 3

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 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 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.

Bell Work

Homework Check

I Can…. Calculate the volume of a prism

Volume of a Prism Essential Understanding: A rectangular prism has three dimensions: length (l), width (w), and height (h). A rectangular prism has volume formula V = lwh. Example: if a rectangular prism has dimensions l = 12 in., w = 4 in., and h = 3 in., then V = 12 in. x 4 in. x 3 in. = 144 in.³ Another way to think about the volume formula is as follows: V = l w h = (l w) h. Since l w is the area of the prism's base, you can think of the volume formula as the area of the base times the height, or V = Bh. examples/rectangular-prism-volume-example examples/rectangular-prism-volume-example

Wrap it Up Review Questions Exit Tickets

Day 4

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 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 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.

Bell Work

Homework Check

I Can…. Use models to illustrate volume.

Using Models to Illustrate Volume Essential Understanding: Today you will learn how to illustrate volume by packing a prism with unit cubes. A prism has three dimensions; a length, a width, and a height. These dimensions can be shown by using unit cubes. Example: Remember just like unit rates unit cubes mean 1 Example: Unit cubes can also be used to show fractional lengths, by cutting them into the desired fraction Example:

Still confused? Take a look at these excellent resources: the-volume-of-a-rectangular-prism-by-filling-it- with-unit-cubes#fndtn-lesson the-volume-of-a-rectangular-prism-by-filling-it- with-unit-cubes#fndtn-lesson the-volume-of-a-fractional-rectangular-prism- using-unit-cubes the-volume-of-a-fractional-rectangular-prism- using-unit-cubes grade/geometry/volume-using-unit-cubes grade/geometry/volume-using-unit-cubes School-Math-Concepts-Grade-6/section/10.15/ School-Math-Concepts-Grade-6/section/10.15/

Wrap it Up Review Questions Exit Tickets

Day 5

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 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 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.

Bell Work Review your vocabulary with a partner.

Homework Check

I Can…. Show What I Know!

Wrap it Up Review Questions Exit Tickets