Geometry Goal 5 – To Learn Triangle Relationships and Trigonometry
Learning Outcomes
7.1 Classifying Triangles –
Classify triangles by their sides
and by their angles
Chapter Reference 4.1
7.2 Angle Measures of
Triangles –
Find angle measures in triangles
Chapter Reference 4.2
7.3 Isosceles and Equilateral
Triangles –
Use properties of isosceles and
equilateral triangles
Chapter Reference 4.3
Differentiated Instructional Activities
Text Book
References*
Chapter Resource Book
References
Recognize the different ways that triangles
are named according to the measures of
sides and angles.
Identify triangles by their characteristics.
Pg. 173 – 174
ex: 1 – 6
Pg. 175 – 178
ex: 1- 72
SAT/ACT Chapter Test
Pg. 80 ex: 1
Use activity on page 179 to demonstrate the
sum of the angles of a triangle is 180.
Identify interior and exterior angles of a
triangle.
Demonstrate that the sum of the exterior
angles of a triangle is 360.
Use arithmetic and algebraic strategies to
determine missing measures of the angles of
a triangle.
Pg. 180 – 181
ex: 1 – 6
Pg. 182 – 184
ex: 1 – 35
Pg. 184 Quiz
ex: 1 – 6
Ch. 4 Quiz pr. 25
Use activity on page 185 to demonstrate that
the base angles of an isosceles triangle are
congruent.
In pairs, have students list all the facts they
can discover about isosceles and equilateral
triangles.
Use arithmetic and algebraic strategies to
determine the missing parts of isosceles and
equilateral triangles.
Pg. 186 ex: 1- 3
Pg. 188 ex: 1 – 44
Ch. 4 Quiz pg. 45 ex: 1 – 6
Assessments#
WT: pg. 20^
HQ: pg. 21^
WT: pg. 21
HQ: pg. 22
SAT/ACT Chapter Test
Pg. 80 ex: 2 – 4
WT: pg. 22
HQ: pg. 23
SAT/ACT Chapter Test
Pg 80 ex: 5
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ 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
Differentiated Instructional Activities
Text Book
References*
Chapter Resource Book
References
Review the prime factorization of whole
numbers.
Review the whole number perfect squares to
at least 144.
Demonstrate a procedure for simplifying
square roots related to factoring and
recognizing perfect squares.
Demonstrate the multiplication of radicals.
Pg. 538 ex: 1 – 12
Pg. 539 – 541
ex: 1 – 68
Ch. 4. Review pg. 86 ex: 1 – 22
45-45-90 triangles
Demonstrate the patterns involved with the
sides of 45-45-90 triangles.
SAT/ACT Chapter Test
Pg. 73 ex: 3 - 5
HQ; 61
HQ: 62
30-60-90 triangles
Demonstrate the patterns involved with the
sides of 30-60 -90 triangles.
Pg. 543 – 544
Ex: 1 – 6
Pg 545 – 547
Ex 1 - 34
Pg. 549 – 551
Ex 1 – 5
Pg. 552 – 553
Ex: 1 - 44
Pg. 558 ex: 1 – 5
Pg. 560 – 562
ex: 1 – 49
SAT/ACT Chapter Test
Pg. 73 ex: 6 - 7
WT: pg. 62
WT: pg. 63
HQ: 63
7.4 Simplifying Square Roots –
Simplify Square Roots
Chapter Reference 10.1, 10.2,
10.3
7.5 Tangent Ratios – Right
Triangles –
Find the tangent of an acute angle
Use the activity on page 556 to demonstrate
the tangent ratio.
Measure heights of objects in the
environment by using the tangent ratio.
Use arithmetic and algebraic strategies to
find missing parts of triangles by using the
tangent ratio.
SAT/ACT Chapter Test
Pg. 73 ex: 1 – 2
Assessments#
WT: pg.
WT: pg.
WT: pg.
WT: pg.
WT: pg.
HQ: 60
Chapter Reference 10.4
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ 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.
23
24
59
60
61
Learning Outcomes
7.6 Sine Cosine Ratios: Right
Triangles –
Find the sine and cosine of an
acute angle
Chapter Reference 10.5
CAPT Practice
Differentiated Instructional Activities
Text Book
References*
Chapter Resource Book
References
Assessments#
Complete discussion of trig ratios by
demonstrating the validity of the sine and
cosine ratios.
Pg. 563 – 565
ex: 1 – 17
Pg. 556 – 568
ex: 1 - 51
Ch. 10 Review pg. 78 ex: 1 - 11
WT: pg. 64
HQ: 62
HQ: 64
Basketball, 177
Water Resources,
183
Architecture, 186
Rock Climbing,
189
Tree Height, 559
Water Slide, 561
Surveying, 562
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ 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.
7.1 Classifying Triangles (Chapter Reference 4.1)
Page 1
Page 2
7.2 Angle Measures of Triangles (Chapter Reference 4.2)
Page 3
Page 4
Page 5
7.3 Isosceles and Equilateral Triangles
Page 6
Page 7
Page 8
7.4 Simplifying Square Roots (Chapter Reference – 10.1)
Page 9
Page 10
7.5 Tangent Ratios – Right Triangles (Chapter Reference 10.4)
Page 11
Page 12
Page 13
7.6 Sine Cosine Ratios – Right Triangles (Chapter Reference 10.5)
Page 14
Page 15
Page 16
Page 17