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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
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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.

Dec 25, 2015

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Page 1: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

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 dinosaursB. 42 dinosaursC. 9 dinosaursD. None of the Above

Page 2: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Skill BlockQuestions from March 1st Spiral

Embry 44% and Davis 53%

Page 3: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Skill BlockQuestions from March 1st Spiral

Embry 53% and Davis 41%

Page 4: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Skill BlockQuestions from March 1st Spiral

Embry 47% and Davis 64%

Page 5: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

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.

Page 6: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

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.

Page 7: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Discussion: Words We Use

Math Words We Use to Describe SolidsCreate 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:

Page 8: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Discussion: Words We Use

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

Page 9: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Discussion: Words We Use

Math Words We Use to Describe Solids

Corner = Vertex

Page 10: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Discussion: Words We Use

Math Words We Use to Describe Solids

Line = Edge

Page 11: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Discussion: Words We Use

Math Words We Use to Describe Solids

Side = Face

Page 12: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

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.

Page 13: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.
Page 14: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

INTRO TO 3D SHAPESUSE IF NEEDED….

Page 15: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Edges are the sides

Page 16: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

VerticesVertices are are

cornerscorners

Page 17: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Faces are the flat top, flat

bottom, & flat sides

Page 18: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a cylinderIt has 2 faces that are circles

Page 19: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a cubeIt has 6 faces that are all squares

Page 20: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a rectangular prism

It has 6 faces that are rectangles

Page 21: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a

triangular prism

2 faces are triangles, but the

other 3 faces are rectangles

Page 22: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a sphereIt has no faces and is shaped like a ball

Page 23: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a coneIts only face is a circle

Page 24: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

3 Dimensional Figures3 Dimensional Figures

This 3-D figure is a pyramidThe bottom or base of a pyramid can be a square, rectangle,

hexagon, or a triangle, but the other faces are all triangles

Page 25: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Can you see beyond???Can you see beyond???

How many edges, faces, and vertices does this 3D figure have?

8 edges

16 angles

5 faces

Page 26: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Can you see beyond?Can you see beyond?

How many faces does this figure have?

1 face

Page 27: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Can you see beyond?Can you see beyond?

How many edges, faces, and vertices does this 3D figure have?

12 edges 6 faces

24 vertices

Page 28: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

What’s my name?

Page 29: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Answer…

This 3-Dimensional figure is a cube.

It has 6 faces that are all squares

Page 30: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

What’s my name?

Page 31: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Answer…

A 3 Dimensional FigureA rectangular prism

All 6 sides are rectangles

Page 32: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

What’s my name?

Page 33: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Answer…

A TRAPEZOID is a figure with 4 EDGES, BUT only

ONE pair of EDGES are PARALLEL

Page 34: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Guided Practice

Page 35: Problem Solving Block A regulation National Football League playing field is 120 yards long. A large Tyrannosaurus Rex measured about 42 feet long. Approximately.

Independent Practice

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