Geometry Goal 1 – To Apply Area Formulas and Investigate Circles
Learning Outcomes
5.1 Area of Squares and
Rectangles –
Find the area of squares and
rectangles
Chapter Reference 8.3
5.2 Area of Triangles –
Find the area of triangles
Chapter reference 8.4
5.3 Area of Parallelograms –
Find the area of parallelograms
Chapter Reference 8.5
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Differentiated Instruction Activities
Text Book
References*
Chapter Resource Book
References
Assessments#
Develop area and perimeter concepts
using manipulatives.
Develop area concept using figures
drawn on graph paper.
Relate area concept for square and
rectangle to multiplication facts.
Working in groups, have students find
areas of irregular figures that can be
portioned into squares and rectangles.
Identify formulas for the areas of
squares and rectangles.
Pg. 425 – 426 ex: 1 – 6
Pg. 427 – 429
ex: 1 – 46
SAT/ACT Chapter Test
Pg. 83 ex: 3
HQ: pg. 49^
HQ: pg. 55
Use the activity on page 430 to
demonstrate the area of a triangle is one
half the area of a rectangle with the
same base and height.
Use different triangles to show the
relative positions of altitudes of
triangles.
Identify formula for the area of a
triangle.
Pg. 433 ex: 1 – 4
Pg. 434 – 437
ex: 1 – 44
Quiz pg. 437
Ch. 8 Quiz pg. 43
WT: pg. 49 ex: 1 – 3^
WT: pg. 52
HQ: pg. 50
Use index card to demonstrate the
relation of the area of a parallelogram to
a rectangle; activity is on page 439
Identify the altitude of a parallelogram
Identify formula for the area of a
parallelogram.
Identify special formula for finding the
area of a rhombus.
Pg. 440 ex: 1 – 6
Pg. 442 – 445
ex: 1 – 56
SAT/ACT Chapter Test
Pg. 83 ex: 6 - 7
SAT/ACT Chapter Test
Pg. 83 ex: 4
WT: pg. 50
HQ: pg. 51
The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class.
These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet.
End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher.
Learning Outcomes
5.4 Area of Trapezoids –
Find the area of Trapezoids
Chapter Reference 8.6
5.5 Circumference and Area of
Circles –
Find the circumference and area
of circles
Chapter Reference 8.7
5.6 CAPT Practice
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Differentiated Instruction Activities
Text Book
References*
Chapter Resource Book
References
Assessments#
Demonstrate the logic for the formula
for the area of a trapezoid. A model is
illustrated on page 446.
Identify the height of a trapezoid.
Identify the formula for the area of a
trapezoid.
Lok for trapezoidal shapes in
environment and find areas by
measuring bases and height.
Pg. 447 ex: 1 – 6
Pg. 448 – 450
ex: 1 – 42
SAT/ACT Chapter Test
Pg. 83 ex: 8
HQ: pg. 52
WT: pg. 53
HQ pg. 54
Work in pairs. Using circular shapes,
measure circumference and diameter.
Find ratio of circumference to diameter,
collect class results, average and
compare average with actual value of
pi. This leads to formula for
circumference of circle.
Demonstrate the exploration on page
451 to show a validation of the formula
for the area of a circle.
There are other validations that can be
used.
Identify the formula for the area of a
circle.
Select some circular areas, measure
them in centimeters and find the area
using the formula. Trace same circular
shapes on centimeter graph paper and
estimate area by counting number of
square centimeters. Compare results.
Pg. 453 – 455 ex: 1 – 9
Pg. 455 – 459
ex: 1 – 55
Quiz pg. 459
Ch. 8 Quiz pg. 75
Ch. 8 Review pg. 89 ex: 28 – 30
Alternative Assessment and
Math Journal pg. 84 ex: 2
SAT/ACT Chapter Test
Pg. 83 ex: 9 - 10
Judo, 428
Maize Maze, 429
Basaltic Columns, 436
Covered Bridge, 449
Landscaping, 457
Additional CAPT items can be
found in these materials at the
end of this unit in this
Implementation Guide.
The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of students in the class.
These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet.
End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher.
5.1 Area of Squares and Rectangles
Page 1
Page 2
Page 3
Page 4
5.2 Area of Triangles
Page 5
Page 6
Page 7
5.3 Area of Parallelograms
Page 8
Page 9
Page 10
Page 11
Page 12
5.4 Area of Trapezoids
Page 13
Page 14
Page 15
5.5 Circumference and Area of Circles
Page 16
Page 17
Page 18
Page 19
5.6 CAPT Practice
Page 20
Page 21
Page 22
Page 23
Page 24
Page 25
Page 26
Page 27
To Explore the Properties of Three Dimensional Solids
Learning
Outcomes
6.1 Classify and
Name Solid
FiguresRecognize solid
figures
Chapter
Reference 9.1
6.2 Surface Areas
of Prisms and
Cylinders –
Find the surface
areas of prisms and
cylinders
Chapter
Reference 9.2
6.3 Surface Area
of Pyramids and
Cones –
Find the surface
areas of pyramids
and cones
Chapter
Reference 9.3
Differentiated
Instructional Activities
Text Book
References*
Chapter Resource
Book References
Assessments#
Identify and classify solid
figures using models and
solids in the room,
outdoors, in the home, etc.
Pg. 473 – 475
ex: 1 – 4
Pg. 476 – 480
ex 1 - 61
SAT/ACT Chapter
Test
Pg. 70 ex: 1 - 2
WT: pg 53^
HQ: pg 54^
Make solids from nets on
graph paper and estimate
the surface area by
counting squares.
Develop general
understanding of the
process for finding surface
area of solid figures.
Students work in groups,
handle figures and
develop written
explanations on how to
find surface areas for
selected solids.
Use can with label to
explain surface area of
cylinder.
Identify formulas for
surface areas of solids.
Use formulas to find
surface areas. Use of
calculators is
recommended.
Pg. 485 – 486
ex: 1 – 6
Pg. 487 – 490
ex: 1 – 58
SAT/ACT Chapter
Test
Pg. 70 ex: 3 – 5
WT: pg. 55
WT: pg. 56
WT: pg. 60 ex: 1 – 2
HQ: pg. 55
Demonstrate process of
finding surface areas of
pyramid and cone.
Students work in groups
with pyramids and cones
and develop written steps
for finding the surface
area of pyramids and
cones.
Identify formulas for
surface areas of pyramids
and cones.
Use formulas to find
surface areas. Use of
calculators is
recommended.
Pg. 493 – 494
ex: 1 – 6
Pg. 495 – 499
ex: 1 – 61
Quiz pg. 499
ex: 4 – 9
Ch. 9 Quiz pg. 35
WT: pg. 57
HQ: pg. 56
Page 28
Learning
Outcomes
6.4 Volume of
Prisms and
Cylinders –
Find the volumes of
prisms and cylinders
Chapter Reference
9.4
6.5 Volume of
Pyramids and
Cones –
Find the volume of
pyramids and cones
Chapter Reference
9.5
6.6 Surface Area
and Volume of
Spheres –
Find the surface area
and volume of
spheres and
hemispheres
Chapter Reference
9.6
Differentiated
Instructional Activities
Text Book
References*
Chapter Resource
Book References
Assessments#
Use materials to
demonstrate the concept
that the volume of a
rectangular solid is found
by determining the base
of the figure and
multiplying that area by
the number of layers.
Relate above process to
determining volume of
cylinder.
Measure the dimensions
of boxes and cylinders
and find the volume.
Identify volume formulas.
Use volume formulas to
determine volumes of
prisms and cylinders. Use
of calculators is
recommended.
Pg. 501 – 502
ex: 1 – 6
Pg. 503 – 507
ex: 1- 63
Alternative
Assessment and
Math Journal pg 71
ex: 2
WT: pg. 58
HQ: pg. 57
If available, use hollow
solids to demonstrate the
one third relationship of
the volumes of pyramids
and rectangular solids
with equal base areas and
heights.
Demonstrate the same
relationship for cones and
cylinders with equal area
bases and heights.
Identify formulas for
finding the volumes of
pyramids and cones.
Use formulas to find
volumes of pyramids and
cones. Use of calculators
is recommended.
Pg. 511 – 512
ex: 1 – 6
Pg. 513 – 516
ex: 1 – 57
SAT/ACT Chapter
Test
Pg 70 ex: 8
HQ: pg. 58
Identify the formulas for
finding surface areas and
volumes of spheres and
hemispheres.
Working in groups, have
students use formulas to
determine the surface
areas and volumes of
spheres and hemispheres.
Use of calculators is
recommended.
Pg. 518 – 519
ex: 1 – 6
Pg. 519 – 523
ex: 1 – 61
Quiz pg. 523
ex: 1 – 8
Ch. 9 Quiz pg. 62
WT: pg. 58
HQ pg. 59
SAT/ACT Chapter
Test
Pg. 70 ex: 6 - 7
Page 29
Ch. 9 Review pg.
76 ex: 24 – 29
SAT/ACT Chapter
Test
Pg. 70 ex: 9 - 10
Learning
Outcomes
6.7 CAPT Practice
Differentiated
Instructional Activities
Text Book
References*
Rainforest
Pyramid, 491
Veterinary
Medicine, 497
Lampshade,
498
Swimming
Pools, 505
Aquariums, 505
Pet Feeder, 515
Volcanoes, 516
Planetarium,
522
6.1 Surface Areas of Prisms and Cylinders
Page 30
Chapter Resource
Book References
Assessments#
Additional CAPT
items can be found in
these materials at the
end of this unit in this
Implementation
Guide.
Page 31
Page 32
Page 33
6.2 Surface Area of Pyramids and Cones
Page 34
Page 35
Page 36
Page 37
Page 38
6.3 Volume of Prisms and Cylinders
Page 39
Page 40
6.4 Volumes of Pyramids and Cones
Page 41
Page 42
6.5 Surface Area and Volume of Spheres
Page 43
Page 44
Page 45
Page 46
6.6 CAPT Practice
Page 47
Page 48
Page 49
Page 50
Page 51
Page 52
Page 53
Page 54