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Chapter 10GeometryClick the mouse or press the space bar to continue.
Chapter Menu
Lesson 10-1Solid FiguresLesson 10-2Plane FiguresLesson 10-3Problem-Solving Strategy: Look for a PatternLesson 10-4Lines, Line Segments, and RaysLesson 10-5AnglesLesson 10-6Problem-Solving Investigation: Choose a StrategyLesson 10-7TrianglesLesson 10-8QuadrilateralsLesson 10-9Parts of a Circle
10
Geometry
Lesson 1 Menu
Five-Minute Check (over Chapter 9)Main Idea and VocabularyCalifornia StandardsKey Concept: Solid FiguresExample 1
10-1Solid Figures
Lesson 1 MI/Vocab
10-1Solid Figures
I will identify, describe, and classify solid figures, and identify and make/draw nets.solid figurefaceedge
vertexnet
Lesson 1 Standard 1
10-1Solid Figures
Standard 4MG3.6 Visualize, describe, and make models of geometric solids (e.g. prisms, pyramids) in terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.
Lesson 1 Key Concept 1
10-1Solid Figures
Lesson 1 Ex1
A paper towel roll represents a figure. Identify the figure. Tell how many faces, edges, and vertices it has.
10-1Solid FiguresAnswer: The paper towel roll is a cylinder. It has 2 faces, 2 edges, and 0 vertices.
Lesson 1 CYP1
10-1Solid Figures
cone; 1 face, 1 edge, 0 vertices
cylinder; 2 faces, 1 edge, 0 vertices
sphere; 2 faces, 1 edge, 0 vertices
sphere; none
A tennis ball represents a figure. Identify the figure. Tell how many faces, edges, and vertices it has.
End of Lesson 1
Lesson 2 Menu
Five-Minute Check (over Lesson 10-1)Main Idea and VocabularyCalifornia StandardsKey Concept: PolygonsExample 1Example 2Example 3
10-2Plane Figures
Lesson 2 Main Idea/Vocab
10-2Plane Figures
I will identify, describe, and classify place figures.plane figurepolygonsidestriangle
quadrilateralpentagonhexagonoctagon
Lesson 2 Standard
10-2Plane Figures
Standard 4MG3.0 Students demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems.
Lesson 2 Get Ready to Learn
A circle is not a polygon because it does not have straight sides. Other shapes are not polygons as well.
10-2Plane Figures
Lesson 2 Key Concept 1
10-2Plane Figures
Lesson 2 Ex1
Identify the polygon.Answer: The shape has 8 sides, so the shape is an octagon.
10-2Plane Figures
Lesson 2 CYP1
10-2Plane Figures
triangle
quadrilateral
pentagon
hexagon
Identify the polygon.
Lesson 2 Ex2
Answer: It is not a polygon.
Tell whether the shape is a polygon.
10-2Plane FiguresThe shape is a circle and is one curved line.
Lesson 2 CYP2
10-2Plane Figures
Yes
No
Tell whether the shape is a polygon.
Lesson 2 Ex3
10-2Plane FiguresAnswer: So, it is a polygon.
Tell whether the shape is a polygon.The figure has 10 sides. The sides are all straight.
Lesson 2 CYP3
10-2Plane Figures
Yes
No
Tell whether the shape is a polygon.
End of Lesson 2
Lesson 3 Menu
Five-Minute Check (over Lesson 10-2)Main Idea California StandardsExample 1: Problem-Solving Strategy
10-3Problem-Solving Strategy: Look for a Pattern
Lesson 3 MI/Vocab
10-3Problem-Solving Strategy: Look for a Pattern
I will solve problems by looking for a pattern.
Lesson 3 Standard 1
10-3Problem-Solving Strategy: Look for a Pattern
Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
Lesson 3 Standard 2
10-3Problem-Solving Strategy: Look for a Pattern
Standard 4MG3.0 Students demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems.
Lesson 3 Ex1Amado is helping his dad put a tile floor in their house. They are laying the tiles in a pattern. They have run out of tiles and need to buy more. What color tiles need to be purchased to complete the floor?
10-3Problem-Solving Strategy: Look for a Pattern
Lesson 3 Ex1UnderstandWhat facts do you know?You know the tiles form a pattern.You know they need to buy more tiles.What do you need to find?Find the tile colors that need to be purchased.
10-3Problem-Solving Strategy: Look for a Pattern
Lesson 3 Ex1PlanLook for a pattern. Then continue the pattern to find the missing tiles.
10-3Problem-Solving Strategy: Look for a Pattern
Lesson 3 Ex1SolveUse your plan to solve the problem. The first four tiles in the top row are red, green, blue, and yellow. Notice that the pattern repeats.Answer: So, the missing tiles are blue, yellow and red.
10-3Problem-Solving Strategy: Look for a Pattern
Lesson 3 Ex1CheckLook back at the problem. A blue, a yellow, and a red tile will complete the pattern for the entire floor. So, the answer is correct.
10-3Problem-Solving Strategy: Look for a Pattern
End of Lesson 3
Lesson 4 Menu
Five-Minute Check (over Lesson 10-3)Main Idea and VocabularyCalifornia StandardsKey Concepts: Lines, Rays, SegmentsKey Concepts: Types of LinesExample 1Example 2Example 3
10-4Lines, Line Segments, and Rays
Lesson 4 MI/Vocab
10-4Lines, Line Segments, and Rays
I will identify, describe, and classify lines, line segments, and rays.
linerayendpointline segment
parallelintersectingperpendicular
Lesson 4 Standard
10-4Lines, Line Segments, and Rays
Standard 4MG3.1 Identify lines that are parallel and perpendicular.
Lesson 4 Key Concepts 1
10-4Lines, Line Segments, and Rays
Lesson 4 Key Concepts 2a
10-4Lines, Line Segments, and Rays
Lesson 4 Key Concepts 2b
10-4Lines, Line Segments, and Rays
Lesson 4 Key Concepts 2c
10-4Lines, Line Segments, and Rays
Lesson 4 Ex1Identify the figure.
10-4Lines, Line Segments, and Rays
This line has two endpoints and does not extend in either direction.Answer: Line segment MN or MN.
MN
Lesson 4 CYP1
10-4Lines, Line Segments, and Rays
line AB
line segment AB
ray AB
none of the above
Identify the figure.
AB
Lesson 4 Ex2
Identify the figure.
10-4Lines, Line Segments, and Rays
RTThe figure has arrows on each ends, so it extends in opposite directions without ending.Answer: Line RT or RT.
Lesson 4 CYP2
10-4Lines, Line Segments, and Rays
line GH
line segment GH
ray GH
none of the above
Identify the figure.
GH
Lesson 4 Ex3
Describe the figure.
10-4Lines, Line Segments, and Rays
Answer: The figure shows line WX and line YT. They are the same distance apart everywhere and will never cross. WX YT.
WXYT
Lesson 4 CYP3
10-4Lines, Line Segments, and Rays
parallel lines
intersecting lines
perpendicular lines
none of the above
Describe the figure.
O
P
M
N
End of Lesson 4
Lesson 5 Menu
Five-Minute Check (over Lesson 10-4)Main Idea and VocabularyCalifornia StandardsKey Concept: Turns and AnglesKey Concept: Types of AnglesExample 1Example 2Example 3
10-5Angles
Lesson 5 MI/Vocab
10-5Angles
I will identify, describe, and classify angles.angleright angle
acute angleobtuse angle
Lesson 5 Standard
10-5Angles
Standard 4MG3.5 Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90 , 180 , 270 , and 360 are associated, respectively, with , , , and full turns.
Lesson 5 Key Concept 1
10-5Angles
Lesson 5 Key Concept 2
10-5Angles
Lesson 5 Ex1
Write how far the minute hand has turned in degrees and as a fraction of a full turn.Compare the angle shown on the clock to the angles shown in the Key Concept: Turns and Angles box.
10-5Angles
Answer: So, the angle shown on the clock is 180 or a turn.
Lesson 5 CYP1
10-5Angles
Write how far the minute hand has turned in degrees and as a fraction of a full turn.90; turn
360; full turn270; turn
180; turn
Lesson 5 Ex2Classify the angle as acute, obtuse, or right.
The angle is larger than a right angle but smaller than 180.
10-5Angles
Answer: So, it is an obtuse angle.
Lesson 5 CYP2
10-5Angles
acute
obtuse
right
none of the above
Classify the angle as acute, obtuse, or right.
Lesson 5 Ex3Classify the angle as acute, obtuse, or right.The angle is less than a right angle, but greater than 0.
10-5Angles
Answer: So, it is an acute angle.
Lesson 5 CYP3
10-5Angles
acute
obtuse
right
none of the above
Classify the angle as acute, obtuse, or right.
End of Lesson 5
Lesson 6 Menu
Five-Minute Check (over Lesson 10-5)Main IdeaCalifornia StandardsExample 1: Problem-Solving Investigation
10-6Problem-Solving Investigation: Choose a Strategy
Lesson 6 MI/Vocab
10-6Problem-Solving Investigation: Choose a Strategy
I will choose the best strategy to solve a problem.
Lesson 6 Standard 1
10-6Problem-Solving Investigation: Choose a Strategy
Standard 4MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Lesson 6 Standard 2
10-6Problem-Solving Investigation: Choose a Strategy
Standard 4MG3.0 Students demonstrate an understanding of a plane and solid geometric objects and use this knowledge to show relationships and solve problems.
Lesson 6 Ex1
ARTURO: I have the five puzzle pieces shown. I need to form a square using all of the pieces.
10-6Problem-Solving Investigation: Choose a Strategy
YOUR MISSION: Arrange the five puzzle pieces to form a square.
Lesson 6 Ex1
Understand
What facts do you know?You know there are five puzzle pieces.What do you need to find?You need to find how to arrange the five puzzle pieces to form a square.
10-6Problem-Solving Investigation: Choose a Strategy
Lesson 6 Ex1
PlanUse the act it out strategy. Trace the pieces and cut them out of paper. Then arrange the polygons in different ways to figure out how they will form a square.
10-6Problem-Solving Investigation: Choose a Strategy
Lesson 6 Ex1
Solve
Arrange the pieces in different ways until you form a square.
10-6Problem-Solving Investigation: Choose a Strategy
Lesson 6 Ex1
CheckLook back at the problem. The figure formed by the pieces is a square because it is a rectangle that has four equal sides. So, the answer is correct.
10-6Problem-Solving Investigation: Choose a Strategy
End of Lesson 6
Lesson 7 Menu
Five-Minute Check (over Lesson 10-6)Main Idea and Vocabulary California StandardsKey Concept: Classify Triangles by SidesKey Concept: Classify Triangles by AnglesExample 1Example 2
10-7Triangles
Lesson 7 MI/Vocab/Standard
10-7Triangles
I will identify, describe, and classify triangles.isosceles triangleequilateral trianglescalene triangle
right triangleacute triangleobtuse triangle
Lesson 7 MI/Vocab/Standard
10-7Triangles
Standard 4MG3.7 Know the definitions of different triangles (e.g. equilateral, isosceles, scalene) and identify their attributes.
Lesson 7 Key Concept 1
10-7Triangles
Lesson 7 Key Concept 2
10-7Triangles
Lesson 7 Ex1
Classify the triangle. Use isosceles, equilateral, or scalene.Answer: So, the triangle is isosceles.
10-7Triangles
Exactly 2 sides of the triangle are the same length.
6 in.6 in.3 in.
Lesson 7 CYP1
10-7Triangles
scalene
isosceles
equilateral
none of the above
Classify the triangle. Use isosceles, equilateral, or scalene.
3 cm3 cm5 cm
Lesson 7 Ex2
Answer: The triangle is obtuse.
Classify the triangle. Use acute, right, or obtuse.The triangle has one obtuse angle.
10-7Triangles
Lesson 7 CYP2
10-7Triangles
acute
right
obtuse
none of the above
Classify the triangle. Use acute, right, or obtuse.
10 ft8 ft6 ft
End of Lesson 7
Lesson 8 Menu
Five-Minute Check (over Lesson 10-7)Main Idea and VocabularyCalifornia StandardKey Concept: QuadrilateralsExample 1Example 2Example 3
10-8Quadrilaterals
Lesson 8 MI/Vocab
10-8Quadrilaterals
I will identify, describe, and classify quadrilaterals.rectanglesquarerhombus
parallelogramtrapezoid
Lesson 8 Standard
10-8Quadrilaterals
Standard 4MG3.8 Know the definitions of different quadrilaterals (e.g. rhombus, square, rectangle, parallelogram, trapezoid).
Lesson 8 Key Concept 1
10-8Quadrilaterals
Lesson 8 Ex1
Classify the quadrilateral in as many ways as possible.
10-8Quadrilaterals
Answer: It can only be classified as a trapezoid.
Lesson 8 CYP1
10-8Quadrilaterals
trapezoid
parallelogram, rhombus, square
rectangle, square
parallelogram, rhombus
Classify the quadrilateral in as many ways as possible.
Lesson 8 Ex2Look at the picture. What shape is it?A pan has 4 right angles with opposite sides equal and parallel.Answer: So, the picture is a rectangle.
10-8Quadrilaterals
Lesson 8 CYP2
10-8Quadrilaterals
rectangle
square
rhombus
trapezoid
Look at the picture. What shape is it?
Lesson 8 Ex3
10-8QuadrilateralsLook at the picture. What shape is it?All sides of the figure are equal and opposite sides are parallel.Answer: So, the figure is a rhombus.
Lesson 8 CYP3
10-8Quadrilaterals
parallelogram
square
rectangle
trapezoid
Look at the picture. What shape is it?
End of Lesson 8
Lesson 9 Menu
Five-Minute Check (over Lesson 10-8)Main Idea and VocabularyCalifornia StandardKey Concept: Parts of a CircleExample 1Example 2Example 3Example 4
10-9Parts of a Circle
Lesson 9 MI/Vocab
10-9Parts of a Circle
I will identify parts of a circle.circlecenter
diameterradius
Lesson 9 Standard
10-9Parts of a Circle
Standard 4MG3.2 Identify the radius and diameter of a circle.
Lesson 9 Key Concept
10-9Parts of a Circle
Lesson 9 Ex1
Identify the part of the circle.
10-9Parts of a CircleAnswer: This is a radius.The line segment connects the center of the circle to one point on the circle.
Lesson 9 CYP1
10-9Parts of a Circle
radius
diameter
center
none of the above
Identify the part of the circle.
Lesson 9 Ex2Identify the part of the circle.
10-9Parts of a CircleAnswer: This is a diameter.The line segment connects two points on the circle and goes through the center.
Lesson 9 CYP2
10-9Parts of a Circle
radius
diameter
center
none of the above
Identify the part of the circle.
Lesson 9 Ex3
10-9Parts of a Circle
CB is a line segment that connects the center of the circle to a point on a circle.
Answer: So, CB is a radius.
Identify the part of the circle that is represented by CB.
DCBAF
Lesson 9 CYP3
10-9Parts of a Circle
radius
diameter
center
none of the above
Identify the part of the circle that is represented by CD.
DCBAF
Lesson 9 Ex4
10-9Parts of a Circle
AB is a line segment that connects two points on the circle and goes through the center.
Answer: So, AB is a diameter.
Identify the part of the circle that is represented by AB.
DCBAF
Lesson 9 CYP4
10-9Parts of a Circle
radius
diameter
center
angle
Identify the part of the circle that is represented by C.
DCBAF
End of Lesson 9
CR Menu
Five-Minute Checks
10Geometry5Min MenuLesson 10-1(over Chapter 9)Lesson 10-2(over Lesson 10-1)Lesson 10-3(over Lesson 10-2)Lesson 10-4(over Lesson 10-3)Lesson 10-5(over Lesson 10-4)Lesson 10-6(over Lesson 10-5)Lesson 10-7(over Lesson 10-6)Lesson 10-8(over Lesson 10-7)Lesson 10-9(over Lesson 10-8)
10Geometry5Min 1-1
(over Chapter 9)1,111
115
1,115
1,114
Divide the following. Use estimation to check. 5,575 5
10Geometry
5Min 1-2
(over Chapter 9)351
401
301
315
Divide the following. Use estimation to check. 2,808 8
10Geometry
5Min 1-3
(over Chapter 9)18,041 R2
18,041
22,375
19,041 R2
Divide the following. Use estimation to check. 57,125 3
10Geometry
5Min 1-4
(over Chapter 9)6,316 R2
5,316 R2
53 R4
5,016 R2
Divide the following. Use estimation to check. 37,214 7
10Geometry5Min 2-1
(over Lesson 10-1)8
4
2
0
How many vertices does a sphere have?
10Geometry
5Min 2-2
0
2
4
8
How many faces does a cylinder have? (over Lesson 10-1)
10Geometry
5Min 2-3
It has a triangular base, 3 faces, 6 edges, 4 vertices.
It has a triangular base, 4 faces, 3 edges, 4 vertices.
It has a triangular base, 2 faces, 6 edges, 6 vertices.
It has a triangular base, 4 faces, 6 edges, 4 vertices.
Describe a triangular pyramid. (over Lesson 10-1)
10Geometry
5Min 2-4
a triangular pyramid
a rectangular prism
a square pyramid
a cone
Name a solid figure that has 5 faces, 8 edges, and 5 vertices. (over Lesson 10-1)
10Geometry5Min 3-1
(over Lesson 10-2)hexagon
triangle
pentagon
octagon
Identify the polygon.
10Geometry
5Min 3-2
pentagon
octagon
quadrilateral
hexagon
(over Lesson 10-2)Identify the polygon.
10Geometry
5Min 3-3
pentagon
octagon
quadrilateral
triangle
(over Lesson 10-2)Identify the polygon.
10Geometry
5Min 3-4
hexagon
quadrilateral
octagon
pentagon
(over Lesson 10-2)Identify the polygon.
10Geometry5Min 4-1
(over Lesson 10-3)23
30
37
44
Solve. Use the look for a pattern strategy. While on vacation, Paul collected pinecones. On Sunday, he collected 2. On Monday, he collected 9. On Tuesday, he collected 16. If this pattern continues, how many pinecones will he collect on Friday?
10Geometry5Min 5-1
(over Lesson 10-4)line CD
line segment CD
ray CD
parallel lines
Identify the figure below.
CD
10Geometry
5Min 5-2
line segment MN
ray MN
endpoint MN
line MN
(over Lesson 10-4)Identify the figure below.
MN
10Geometry
5Min 5-3
ray RS
line segment RS
endpoint RS
line RS
(over Lesson 10-4)Identify the figure below.
RS
10Geometry5Min 6-1
(over Lesson 10-5)obtuse
acute
right
Classify each angle as right, acute, or obtuse.
10Geometry
5Min 6-2
obtuse
acute
right
(over Lesson 10-5)Classify each angle as right, acute, or obtuse.
10Geometry
5Min 6-3
obtuse
acute
right
(over Lesson 10-5)Classify each angle as right, acute, or obtuse.
10Geometry
5Min 6-4
obtuse
acute
right
(over Lesson 10-5)Classify each angle as right, acute, or obtuse.
10Geometry5Min 7-1
(over Lesson 10-6)1 $20 bill and 1 $5 bill
5 $5 bills
2 $10 bills and 1 $5 bill
1 $10 bill and 3 $5 bills
Identify 3 bills that total $25 using $1, $5, $10, and $20 bills.
10Geometry
5Min 7-2
6
8
15
11
A number is multiplied by 3, then 5 is added to the product. The result is 23. What was the original number? (over Lesson 10-6)
10Geometry5Min 8-1
(over Lesson 10-7)isosceles acute
scalene right
isosceles obtuse
equilateral acute
Identify each triangle.
10Geometry
5Min 8-2
equilateral acute
scalene acute
scalene right
isosceles obtuse
(over Lesson 10-7)Identify each triangle.
3 cm4 cm5 cm
10Geometry
5Min 8-3
equilateral right
scalene acute
isosceles acute
equilateral acute
(over Lesson 10-7)Identify each triangle.
10Geometry5Min 9-1
(over Lesson 10-8)rhombus
trapezoid
rectangle
triangle
Name a quadrilateral that has opposite sides parallel and 4 right angles.
10Geometrysquare
rhombus
parallelogram
trapezoid
5Min 9-2
(over Lesson 10-8)Name a quadrilateral that has exactly 1 pair of parallel sides.
10Geometry
5Min 9-3
trapezoid
rhombus
square
parallelogram
(over Lesson 10-8)Identify the quadrilateral.
10Geometry
5Min 9-4
square
rhombus
trapezoid
rectangle
(over Lesson 10-8)Identify the quadrilateral.
10GeometryEnd of Custom ShowsThis slide is intentionally blank.