Lessons 115-117 & Test 14

How are the dollar and the moon similar?

Lesson 115-117 & Test 14

Cassi Riggs and Sarah Monda

May 1, 2023

A circle is a smooth curve where every point is the same distance from the center.

Important Terms:

• ​Diameter

• Radius

• Chord

• Circumference (Perimeter)

• Area

• Semicircle

Defined on next slide

Lesson 115- Circles

Important Terms:

Find the perimeter and area of this shape.

We would need to solve this in steps by using what we already know about perimeter/circumference and area.

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Complicated Problems...

Multiple Choice

Find the circumference of this circle. Use 3.14 for $$\pi$$

Hint: Circumference = $$2\pi r$$

• 21.98 feet

• 42.6 feet

• 16.3 feet

• 24.78 feet

Multiple Choice

Find the area of this circle. Use 3.14 for $$\pi$$

Hint: Area of a circle = $$\pi r^2$$

• 38.465 square feet

• 52.1 square feet

• 84.65 square feet

• 42.36 square feet

Multiple Choice

Find the area of this semicircle. Hint: Area of a circle $$\pi r^2$$

• 25.12 sq yds

• 50.24 sq yds

• 48.63 sq yds

• 14.84 sq yds

Multiple Choice

Find the perimeter/circumference of this semicircle. Hint: perimeter/circumference of a semicircle $$2\pi r+D$$

• 33.12 yds

• 36.58 yds

• 45.23 yds

• 29.63 sq yds

Multiple Choice

A circle is a smooth curve where every point is the same distance from the center.

• True

• False

Multiple Choice

The circumference of a circle equals $$2\pi r$$

• True

• False

Multiple Choice

The area of a circle equals $$\pi^2r^2$$

• True

• False

Lesson 116- Solids

A three dimensional (3-D) geometry figure is called a solid.

3-D shapes have faces. A box has 6 faces. A box is also called a rectangular prism.

A vertex is where edges meet.

Polyhedron is a closed figure with polygon faces.

Prisms are a special kind of polyhedron.

A solid with two bases that are congruent and parallel circles.

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Cyclinder

One base is a circle and the other end comes to a point or vertex.

​

Cone

This is the fancy word for a ball.

​

Sphere

Triangular Prism

​Surface area

You calculate this by adding together the area of all the faces.

You will need your formulas for area of a triangle, circle and/or rectangle for these.

Multiple Choice

A cone is a solid with two bases that are congruent and parallel circles.

• True

• False

Multiple Choice

A cylinder is a polyhedron where two faces are parallel and congruent and the remaining faces are parallelograms.

• True

• False

Lesson 117- More on Volume and Surface Area

Lateral Area- the area around the shape, the part of the shape that connects the bases.

Let's explore how to find the volume and surface area of cylinders, cones, and rectangular pyramids...

​Cylinder

Let's practice with this shape...

Rectangular Pyramid

Cones

Let's practice with this one...

Multiple Choice

The volume of a cylinder is equal to the area of the base times the altitude.

• True

• False

Multiple Choice

The volume of a pyramid is equal to the area of the base times the altitude.

• True

• False

Homework:

Lessons 115-117 and Test 14 in TT App

Chapter 14 Vocabulary