Transcript over Lesson 10-1 - My Teacher Pages

Chapter 10
Measurement and Geometry
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10
Measurement and Geometry
Lesson 10-1
Polygons
Lesson 10-2
Perimeter
Lesson 10-3
Measurement: Area
Lesson 10-4
Problem-Solving Strategy: Solve
a Simpler Problem
Lesson 10-5
Triangles and Angles
Lesson 10-6
Quadrilaterals
Lesson 10-7
Problem-Solving Investigation:
Choose a Strategy
Lesson 10-8
Solid Figures
Lesson 10-9
Complex Solid Figures
Lesson 10-10
Measurement: Volume
10-1
Polygons
Five-Minute Check (over Chapter 9)
Main Idea and Vocabulary
California Standards
Example 1
Example 2
10-1
Polygons
• I will identify, describe, and classify polygons.
• plane figure
• pentagon
• polygon
• hexagon
• triangle
• octagon
• quadrilateral
10-1
Polygons
Standard 3MG2.1 Identify, describe,
and classify polygons (including pentagons,
hexagons, and octagons).
10-1
Polygons
Classify the polygon.
Answer: not a polygon
10-1
Polygons
Classify the polygon.
A. polygon; pentagon
B. polygon; hexagon
C. polygon; octagon
D. not a polygon
10-1
Polygons
Classify the polygon.
Answer: polygon; hexagon
10-1
Polygons
Classify the polygon.
A. polygon; triangle
B. polygon; square
C. polygon; pentagon
D. polygon; hexagon
10-2
Perimeter
Five-Minute Check (over Lesson 10-1)
Main Idea and Vocabulary
California Standards
Key Concept: Find Perimeter
Example 1
Example 2
10-2
Perimeter
• I will find the perimeter of a polygon.
• perimeter
10-2
Perimeter
Standard 3MG1.3 Find the perimeter of
a polygon with integer sides.
10-2
Perimeter
10-2
Perimeter
Find the perimeter of the parallelogram.
Answer: 34 yards
10-2
Perimeter
Find the perimeter of this rectangle.
A. 56 units
B. 40 units
C. 28 units
D. 30 units
10-2
Perimeter
Find the perimeter of the rectangle.
Answer: 18 units
10-2
Perimeter
Find the perimeter of the square, if all its sides
where equal to 4 cm.
A. 16 cm
B. 20 cm
C. 18 cm
D. 8 cm
10-3
Measurement: Area
Five-Minute Check (over Lesson 10-2)
Main Idea and Vocabulary
California Standards
Example 1
Example 2
Example 3
Measurement: Area
10-3
Measurement: Area
• I will find the area of a plane figure.
• area
10-3
Measurement: Area
Standard 3MG1.2 Estimate or determine
the area and volume of solid figures by covering
them with squares or by counting the number of
cubes that will fill them.
10-3
Measurement: Area
Find the perimeter of the rectangle.
Answer: 40 square units
10-3
Measurement: Area
Find the area of the figure.
A. 20 square units
B. 18 square units
C. 21 square units
D. 14 square units
10-3
Measurement: Area
Find the area of the figure.
Answer: 5 square units
10-3
Measurement: Area
Find the area of the figure.
A. 36 square units
B. 40 square units
C. 48 square units
D. 30 square units
10-3
Measurement: Area
The figure below shows the size of Jeff’s driveway.
What is the area of the driveway?
Answer: 26 square units
10-3
Measurement: Area
The figure below shows the top view of a land plot.
What is the area of the land plot?
A. 64 square units
B. 60 square units
C. 50 square units
D. 48 square units
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Five-Minute Check (over Lesson 10-3)
Main Idea
California Standards
Example 1: Problem-Solving Strategy
10-4
Problem-Solving Strategy: Solve a Simpler Problem
• I will solve problems by working a simpler
problem.
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Standard 3MG1.3 Find the perimeter of a
polygon with integer sides.
Standard 3MR1.2 Determine when and how to
break a problem into simpler parts.
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Julianna is placing a border around a
rectangular bulletin board. The perimeter of the
bulletin board is 10 feet. One side measures 2
feet. What will be the length of the border for
each side?
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Understand
What facts do you know?
• The bulletin board is rectangular with a perimeter
of 10 feet.
• The length of one side is 2 feet.
What do you need to find?
• The length of the border for each side.
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Plan
Solve a simpler problem to find the length of the
border for each side.
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Solve
Two sides are 2 feet long.
2 feet + 2 feet = 4 feet
Find the total length of the other two sides.
total of
2 sides
perimeter
10 feet
–
4 feet
total of
remaining sides
=
6 feet
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Solve
The two unknown sides add up to 6 feet. Since
both sides are the same length, divide by 2.
6 feet ÷ 2 feet = 3 feet
Answer: So, two pieces of border should be 2 feet
long, and the other two should be 3 feet
long each.
10-4
Problem-Solving Strategy: Solve a Simpler Problem
Check
Look back at the problem. Add up all of the sides.
2 feet + 2 feet + 3 feet + 3 feet = 10 feet
So, the answer is correct.
10-5
Triangles and Angles
Five-Minute Check (over Lesson 10-4)
Main Idea and Vocabulary
California Standards
Key Concept: Identify Triangles by its Sides
Example 1
Example 2
Example 3
10-5
Triangles and Angles
• I will identify and classify different triangles and
compare angles.
• equilateral triangle
• scalene triangle
• isosceles triangle
• right triangle
10-5
Triangles and Angles
Standard 3MG2.2 Identify attributes of
triangles (e.g., two equal sides for the isosceles
triangle, three equal sides for the equilateral
triangle, right angle for the right triangle).
10-5
Triangles and Angles
Standard 3MG2.4 Identify right angles in
geometric figures and determine whether other
angles are greater or less than a right angle.
10-5
Triangles and Angles
10-5
Triangles and Angles
Identify the triangle.
Answer: scalene triangle
10-5
Triangles and Angles
Identify the triangle shown in the grid.
A. isosceles triangle
B. equilateral triangle
C. scalene triangle
D. right triangle
10-5
Triangles and Angles
Identify the triangle.
Answer: equilateral
10-5
Triangles and Angles
Identify the triangle shown below.
A. isosceles triangle
B. equilateral triangle
C. scalene triangle
D. right triangle
10-5
Triangles and Angles
Identify the bottom triangle on the tree. Tell if each
angle of the triangle is a right angle, less than a
right angle or greater than a right angle.
Answer: isosceles; 2 angles are less than a right angle
and 1 angle is greater than a right angle
10-5
Triangles and Angles
Identify the triangle below. Tell if each triangle is a
right angle, less than a right angle, or greater than
a right angle.
A. scalene; right angle
B. isosceles; all angles
are less than a right
angle
C. equilateral; all angles
are less than a right
angle
D. right; right angle
10-6
Quadrilaterals
Five-Minute Check (over Lesson 10-5)
Main Idea and Vocabulary
California Standards
Key Concept: Types of Quadrilaterals
Example 1
Example 2
Example 3
10-6
Quadrilaterals
• I will identify, describe, and classify different
quadrilaterals.
• parallel
• square
• rectangle
• parallelogram
10-6
Quadrilaterals
Standard 3MG2.3 Identify attributes of
quadrilaterals (e.g., parallel sides for the
parallelogram, right angles for the rectangle,
equal sides and right angles for the square).
10-6
Quadrilaterals
Standard 3MG2.4 Identify right angles in
geometric figures or in appropriate objects
and determine whether other angles are
greater or less than a right angle.
10-6
Quadrilaterals
10-6
Quadrilaterals
Identify the quadrilateral.
Answer: rectangle
10-6
Quadrilaterals
Identify the quadrilateral.
A. square
B. parallelogram
C. rectangle
10-6
Quadrilaterals
Identify the quadrilateral.
Answer: square
10-6
Quadrilaterals
Identify the quadrilateral.
A. square
B. parallelogram
C. rectangle
10-6
Quadrilaterals
Identify the quadrilateral. Tell if each angle shown is
a right angle, less than a right angle, or greater than
a right angle.
Answer: parallelogram; two angles are less than a
right angle and two angles are greater than
a right angle.
10-6
Quadrilaterals
Identify the quadrilateral. Tell if each angle shown
is a right angle, less than a right angle, or greater
than a right angle.
A. square; all angles are
right angles
B. parallelogram; two
angles are less than a
right angle, two angles
are greater than a right
C. rectangle; all angles
are right angles
10-7
Problem-Solving Investigation: Choose a Strategy
Five-Minute Check (over Lesson 10-6)
Main Idea
California Standards
Example 1: Problem-Solving Investigation
10-7
Problem-Solving Investigation: Choose a Strategy
• I will choose the best strategy to solve a problem.
10-7
Problem-Solving Investigation: Choose a Strategy
Standard 3MG1.2 Estimate or determine the
area and volume of solid figures by covering them
with squares or by counting the number of cubes
that will fill them.
10-7
Problem-Solving Investigation: Choose a Strategy
Standard 3MR1.1 Analyze problems by identifying
relationships, distinguishing relevant from
irrelevant information, sequencing and prioritizing
information, and observing patterns.
10-7
Problem-Solving Investigation: Choose a Strategy
CASSANDRA: My family is making a
sandbox. It has the shape of a
rectangle with a width of 4 feet
and a length of 6 feet. The plastic
that goes under the sand costs $2
for each square foot.
YOUR MISSION: Determine if $50 will
be enough to pay for the plastic.
10-7
Problem-Solving Investigation: Choose a Strategy
Understand
What facts do you know?
• You know the length and width of the sandbox.
• The cost of the plastic per square foot.
What do you need to find?
• Find the total cost of the plastic.
10-7
Problem-Solving Investigation: Choose a Strategy
Plan
Draw a picture to help you solve the problem.
10-7
Problem-Solving Investigation: Choose a Strategy
Solve
The drawing shows that
the area of the sandbox is
24 square feet. Multiply
24 square feet by $2 per
square foot to find the
total cost of the plastic.
24 × $2 = $48
$48 is less than $50
Answer: So, $50 will be enough to pay for
the plastic.
10-7
Problem-Solving Investigation: Choose a Strategy
Check
Look back at the problem. Use addition to check.
$24 + $24 < $50. So, the answer is correct.
10-8
Solid Figures
Five-Minute Check (over Lesson 10-7)
Main Idea and Vocabulary
California Standards
Key Concept: Solid Figures
Example 1
Example 2
10-8
Solid Figures
• I will identify, describe, and classify solid figures.
• cube
• pyramid
• rectangular solid
• cylinder
• cone
• sphere
10-8
Solid Figures
Standard 3MG2.5 Identify, describe, and classify
common three-dimensional geometric objects
(e.g., cube, rectangular solid, sphere, prism,
pyramid, cone, cylinder).
10-8
Solid Figures
10-8
Solid Figures
Identify the solid figure.
Answer: cylinder
10-8
Solid Figures
Identify the figure.
A. cone
B. cube
C. cylinder
D. rectangular solid
10-8
Solid Figures
Identify the solid figure.
Answer: rectangular solid
10-8
Solid Figures
Identify the figure.
A. cone
B. cube
C. cylinder
D. rectangular solid
10-9
Complex Solid Figures
Five-Minute Check (over Lesson 10-8)
Main Idea
California Standards
Example 1
Example 2
10-9
Complex Solid Figures
• I will identify common solid objects that make
more complex solid objects.
10-9
Complex Solid Figures
Standard 3MG2.6 Identify common solid
objects that are the components needed to
make a more complex solid object.
10-9
Complex Solid Figures
Identify the figures that make the complex solid.
Answer: cone, cylinder
10-9
Complex Solid Figures
Identify the figures that make each complex solid.
Answer: rectangular solids
10-10 Measurement: Volume
Five-Minute Check (over Lesson 10-9)
Main Idea and Vocabulary
California Standards
Example 1
Example 2
Volume
10-10 Measurement: Volume
• I will determine the volume of solid figures.
• volume
• cubic unit
10-10 Measurement: Volume
Standard 3MG1.2 Estimate or determine
the area and volume of solid figures by covering
them with squares or by counting the number of
cubes that would fill them.
10-10 Measurement: Volume
Estimate how many cubic units the box can hold?
Answer: 27 cubic units
10-10 Measurement: Volume
How much cement will the container hold?
A.
3 cubic units
B.
4 cubic units
C.
5 cubic units
D.
6 cubic units
10-10 Measurement: Volume
Estimate the volume of the figure.
Answer: 54 cubic units
10-10 Measurement: Volume
Estimate the volume of the figure.
A.
48 cubic units
B.
36 cubic units
C.
12 cubic units
D.
24 cubic units
10
Measurement and Geometry
Five-Minute Checks
Measurement: Area
Volume
10
Measurement and Geometry
Lesson 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)
Lesson 10-10 (over Lesson 10-9)
10
Measurement and Geometry
(over Chapter 9)
Convert to a smaller unit. 8 L = ___ mL.
A. 8,000
B. 80
C. 10
D. 120
10
Measurement and Geometry
(over Chapter 9)
Convert to a smaller unit. 3 km = ___ m.
A. 10
B. 33
C. 15
D. 3,000
10
Measurement and Geometry
(over Chapter 9)
Convert to a larger unit. 5,000 g = ___ kg.
A. 15
B. 5
C. 55
D. 120
10
Measurement and Geometry
(over Chapter 9)
Convert to a larger unit. 16,000 mL = ___ L.
A. 16
B. 140
C. 160
D. 320
10
Measurement and Geometry
(over Lesson 10-1)
Classify each polygon.
A. triangle
B. pentagon
C. square
D. hexagon
10
Measurement and Geometry
(over Lesson 10-1)
Classify each polygon.
A. triangle
B. pentagon
C. square
D. hexagon
10
Measurement and Geometry
(over Lesson 10-1)
Classify each polygon.
A. triangle
B. pentagon
C. square
D. hexagon
10
Measurement and Geometry
(over Lesson 10-1)
Classify each polygon.
A. triangle
B. pentagon
C. square
D. hexagon
10
Measurement and Geometry
(over Lesson 10-2)
Find the perimeter of the figure.
A. 26 cm
B. 12 cm
C. 24 cm
D. 30 cm
10
Measurement and Geometry
(over Lesson 10-2)
Find the perimeter of the figure.
A. 22 in.
B. 10 in.
C. 8 in.
D. 24 in.
10
Measurement and Geometry
(over Lesson 10-2)
Find the perimeter of the figure. Pascal wants to
enclose his garden with a small fence. If his garden
is a rectangle 3 yards by 2 yards, how many yards
of fencing material does he need?
A. 6 yards
B. 12 yards
C. 10 yards
D. 16 yards
10
Measurement and Geometry
(over Lesson 10-3)
Find the area of the figure.
A. 35 square units
B. 25 square units
C. 7 square units
D. 40 square units
10
Measurement and Geometry
(over Lesson 10-3)
Find the area of the figure.
A. 3 square units
B. 18 square units
C. 8 square units
D. 9 square units
10
Measurement and Geometry
(over Lesson 10-3)
Find the area and perimeter of the figure.
A. 14 units; 6 square
units
B. 12 units; 6 square
units
C. 10 units; 10 square
units
10
Measurement and Geometry
(over Lesson 10-4)
Solve. Use the Solve a Simpler Problem strategy.
Afua bought 8 red ribbons, 4 blue ribbons, and 5
yellow ribbons from the fabric store. Each piece of
ribbon cost $1.00. How much did she spend in all?
A. $12
B. $4
C. $8
D. $17
10
Measurement and Geometry
(over Lesson 10-5)
Identify the triangle. Write equilateral, isosceles, or
scalene.
A. isosceles
B. equilateral
C. scalene
10
Measurement and Geometry
(over Lesson 10-5)
Identify the triangle. Write equilateral, isosceles, or
scalene.
A. scalene
B. equilateral
C. isosceles
10
Measurement and Geometry
(over Lesson 10-5)
Identify the triangle. Write equilateral, isosceles, or
scalene.
A. scalene
B. equilateral
C. isosceles
10
Measurement and Geometry
(over Lesson 10-6)
Identify the quadrilateral.
A. rectangle
B. square
C. parallelogram
10
Measurement and Geometry
(over Lesson 10-6)
Identify the quadrilateral.
A. square
B. rectangle
C. parallelogram
10
Measurement and Geometry
(over Lesson 10-6)
Identify the quadrilateral.
A. square
B. rectangle
C. parallelogram
10
Measurement and Geometry
(over Lesson 10-7)
Indu has 27¢ in his pocket. If he has 6 coins
altogether, what coins does he have?
A. 1 quarter, 2 pennies, 2 dimes
B. 1 dime, 3 nickels, 2 pennies
C. 1 nickel, 2 dimes, 1 quarter
10
Measurement and Geometry
(over Lesson 10-8)
Identify the solid figure.
A. cylinder
B. cube
C. square
10
Measurement and Geometry
(over Lesson 10-8)
Identify the solid figure.
A. square
B. cylinder
C. cube
10
Measurement and Geometry
(over Lesson 10-8)
Identify the solid figure.
A. sphere
B. cube
C. square
10
Measurement and Geometry
(over Lesson 10-8)
Identify the solid figure.
A. square
B. cube
C. rectangular solid
10
Measurement and Geometry
(over Lesson 10-9)
Identify the figures that makes this a complex solid.
A. cone, cylinder
B. sphere, cone
10
Measurement and Geometry
(over Lesson 10-9)
Identify the figures that makes this a complex solid.
A. square, cone
B. rectangular solid,
cylinders
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