 # Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

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Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately how many T. Rex dinosaurs could fit in a line from one end of a regulation-sized football field to the other? How many T. Rex dinosaurs can fit in a line from one end of the field to the other? A. 3 dinosaurs B. 42 dinosaurs C. 9 dinosaurs D. None of the Above

Skill Block Questions from March 1 st Spiral Embry 44% and Davis 53%

Skill Block Questions from March 1 st Spiral Embry 53% and Davis 41%

Skill Block Questions from March 1 st Spiral Embry 47% and Davis 64%

What’s the Shape? For the next few days, we’re going to spend some time on geometry. In the last geometry unit, you worked with 2-dimensional shapes, such as rectangles and triangles, and found the perimeter and area of some of these shapes. In this unit, you’re going to work with 3-dimensional shapes such as prisms and cylinders. You will also find the volume of rectangular prisms. First, you’re going to do an activity to help you remember the names of 3-D shapes and their attributes.

What’s the Shape? Give each group one bag of shapes. (I may do this activity whole group) Each student will reach into the bag, feel an object, and describes it to the group. One student writes down the words and phrases used to describe the solid, and the other students guess what the object is. After students have described the object as completely as possible and made preliminary guesses, use the shapes to the right to guess which of the solids is being described. Then, have the student remove the shape from the bag, and the group members can check to see whether their guess was correct.

Discussion: Words We Use Math Words We Use to Describe Solids Create a class chart. Ask students to share the mathematical words their group used to describe the shapes. As students suggest both informal and formal mathematical language, write down the words on the chart. Click for an example chart:

Discussion: Words We Use Math Words We Use to Describe Solids Although informal language can be useful in describing shapes, precision in language is needed to define and classify shapes. Such as vertex, edge and face.

Discussion: Words We Use Math Words We Use to Describe Solids Corner = Vertex

Discussion: Words We Use Math Words We Use to Describe Solids Line = Edge

Discussion: Words We Use Math Words We Use to Describe Solids Side = Face

Guess My Shape? 1.Label five brown paper bags A-E 2.Put a 3D Shape in each bag 3.Have students used the activity sheet on the next slide to describe the number of edges, faces & vertices without looking at the shape in the bag.

INTRO TO 3D SHAPES USE IF NEEDED….

Geometry 3-D 3 dimensional figures have THREE dimensions; length, width, and height

Edges are the sides

Vertices are corners

Faces are the flat top, flat bottom, & flat sides

3 Dimensional Figures A cube, a pyramid, a cylinder, a sphere, a rectangular and triangular prism, and a cone are all 3 dimensional

3 Dimensional Figures This 3-D figure is a cylinder It has 2 faces that are circles

3 Dimensional Figures This 3-D figure is a cube It has 6 faces that are all squares

3 Dimensional Figures This 3-D figure is a rectangular prism It has 6 faces that are rectangles

3 Dimensional Figures This 3-D figure is a triangular prism 2 faces are triangles, but the other 3 faces are rectangles

3 Dimensional Figures This 3-D figure is a sphere It has no faces and is shaped like a ball

3 Dimensional Figures This 3-D figure is a cone Its only face is a circle

This 3-D figure is a pyramid The bottom or base of a pyramid can be a square, rectangle, hexagon, or a triangle, but the other faces are all triangles

Can you see beyond??? How many edges, faces, and vertices does this 3D figure have? 8 edges 16 angles 5 faces

Can you see beyond? How many faces does this figure have? 1 face

Can you see beyond? How many edges, faces, and vertices does this 3D figure have? 12 edges 6 faces 24 vertices

Can you identify the geometric shapes ? As you go through the next slides, see how many ways you can describe the geometric shapes you see. Good Luck!

What’s my name?

Answer… A HEXAGON is a figure with 6 EDGES (SIDES) and 6 VERTICES OR CORNERS (angles)

What’s my name?

Answer… This 3-D figure is a cylinder It has 2 faces that are circles

What’s my name?

Answer… This 3-Dimensional figure is a cube. It has 6 faces that are all squares

What’s my name?

Answer… A TRIANGLE is a figure with 3 sides and 3 corners (angles)

What’s my name?

Answer… A Pentagon is a figure with 5 sides and 5 corners (angles) We have a government building in Washington, DC called the Pentagon because it has 5 sides!

What’s my name?

Answer… A 3 Dimensional Figure A rectangular prism All 6 sides are rectangles

What’s my name?

Answer… A TRAPEZOID is a figure with 4 EDGES, BUT only ONE pair of EDGES are PARALLEL

What’s my name?

Answer… A RECTANGLE is a figure with 4 EDGES (sides) and 4 square VERTICES (corners). Opposite sides of a rectangle are the same length (equal).

Similar or Congruent?

Answer… CONGRUENT – The SAME SHAPE & SIZE

Similar or Congruent?

Answer SIMILAR – The SAME SHAPE

Guided Practice

Independent Practice Critical Thinking Problems 21-26 TAKS Master Exercises 9-11

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