Block 2 ~ The Pythagorean Theorem
Self-Assessment
Name__________________________________________ Per_______________
Track your understanding.
Lesson
#
Target
Progress (shade this in)
I can recognize and find the
values of perfect squares.
Starting…
Getting there…
Got it!!
I can estimate the value of
square roots.
I can use the Pythagorean
Theorem to find the missing
side lengths in right triangles.
Starting…
Getting there…
Got it!!
Starting…
Getting there…
Got it!!
2.4
I can determine if three sides
create a right triangle.
Starting…
Getting there…
Got it!!
2.5
I can apply the Pythagorean
Theorem to solve problems in
two and three dimensions.
Starting…
Getting there…
Got it!!
2.6
I can find the distance between
two points on a coordinate
plane using the Pythagorean
Theorem.
Starting…
Getting there…
Got it!!
2.7
I can find the distance between
two points on a coordinate
plane using the Distance
Formula.
Starting…
Getting there…
Got it!!
2.1
2.2
2.3
©2013 SMC Curriculum
Core Focus on Geometry
408
NAME: _________________________ PER: ____ LESSON 2.1
NAME: _________________________ PER: ____ LESSON 2.1
Find each value.
1. 64
2. 16
Find each value.
1. 64
2. 16
3.
4. Solve for x.
3.
4. Solve for x.
49
©2013 SMC Curriculum
4 x 2  7  29
49
©2013 SMC Curriculum
Core Focus on Geometry
4 x 2  7  29
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.1
NAME: _________________________ PER: ____ LESSON 2.1
Find each value.
1. 64
Find each value.
1. 64
3.
49
©2013 SMC Curriculum
2. 16
4. Solve for x.
4 x 2  7  29
3.
49
©2013 SMC Curriculum
Core Focus on Geometry
382
2. 16
4. Solve for x.
4 x 2  7  29
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.2
NAME: _________________________ PER: ____ LESSON 2.2
Determine the two positive integers that each square root falls
between.
1. 11
2. 34
Determine the two positive integers that each square root falls
between.
1. 11
2. 34
3. Solve for x. Round your answer to nearest tenth.
3. Solve for x. Round your answer to nearest tenth.
x 2  18  24
©2013 SMC Curriculum
x 2  18  24
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.2
NAME: _________________________ PER: ____ LESSON 2.2
Determine the two positive integers that each square root falls
between.
1. 11
2. 34
Determine the two positive integers that each square root falls
between.
1. 11
2. 34
3. Solve for x. Round your answer to nearest tenth.
3. Solve for x. Round your answer to nearest tenth.
x 2  18  24
©2013 SMC Curriculum
x 2  18  24
©2013 SMC Curriculum
Core Focus on Geometry
383
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.3
NAME: _________________________ PER: ____ LESSON 2.3
Solve for x. Round to the nearest tenth, if necessary.
x
1.
2.
Solve for x. Round to the nearest tenth, if necessary.
x
1.
2.
x
9
4
x
9
9
12
4
9
12
3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft
long. What is the length of the diagonal of the living room?
a) Draw a diagram to represent this situation.
3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft
long. What is the length of the diagonal of the living room?
a) Draw a diagram to represent this situation.
b) Find the length of the diagonal.
b) Find the length of the diagonal.
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.3
NAME: _________________________ PER: ____ LESSON 2.3
Solve for x. Round to the nearest tenth, if necessary.
x
1.
2.
Solve for x. Round to the nearest tenth, if necessary.
x
1.
2.
x
9
4
x
9
9
12
9
12
3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft
long. What is the length of the diagonal of the living room?
a) Draw a diagram to represent this situation.
3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft
long. What is the length of the diagonal of the living room?
a) Draw a diagram to represent this situation.
b) Find the length of the diagonal.
©2013 SMC Curriculum
4
b) Find the length of the diagonal.
©2013 SMC Curriculum
Core Focus on Geometry
384
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.4
NAME: _________________________ PER: ____ LESSON 2.4
Determine if each triangle is a right triangle. If it is, state if
its side lengths form a Pythagorean Triple.
Determine if each triangle is a right triangle. If it is, state if
its side lengths form a Pythagorean Triple.
1.
1.
2.
3.
6
6
10
6
6
4
6
6.5
2.5
3.
10
4
6
2.
6.5
2.5
8
8
8
8
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.4
NAME: _________________________ PER: ____ LESSON 2.4
Determine if each triangle is a right triangle. If it is, state if
its side lengths form a Pythagorean Triple.
Determine if each triangle is a right triangle. If it is, state if
its side lengths form a Pythagorean Triple.
1.
1.
2.
3.
6
6
10
6
6.5
2.5
8
8
©2013 SMC Curriculum
6
4
6
6.5
2.5
3.
10
4
6
2.
8
8
©2013 SMC Curriculum
Core Focus on Geometry
385
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.5
NAME: _________________________ PER: ____ LESSON 2.5
1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is
the base of ladder?
1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is
the base of ladder?
2. A shipping company sells a rectangular box with dimensions of
12 inches by 12 inches by 18 inches. Find the length of the
longest diagonal in the box.
2. A shipping company sells a rectangular box with dimensions of
12 inches by 12 inches by 18 inches. Find the length of the
longest diagonal in the box.
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.5
NAME: _________________________ PER: ____ LESSON 2.5
1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is
the base of ladder?
1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is
the base of ladder?
2. A shipping company sells a rectangular box with dimensions of
12 inches by 12 inches by 18 inches. Find the length of the
longest diagonal in the box.
2. A shipping company sells a rectangular box with dimensions of
12 inches by 12 inches by 18 inches. Find the length of the
longest diagonal in the box.
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
386
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.6
NAME: _________________________ PER: ____ LESSON 2.6
Find the distance between each set of points. Round to the
nearest tenth, if necessary.
Find the distance between each set of points. Round to the
nearest tenth, if necessary.
1. (1, 4) and (9, 10)
1. (1, 4) and (9, 10)
2. (−3, 2) and (1, −6)
2. (−3, 2) and (1, −6)
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.6
NAME: _________________________ PER: ____ LESSON 2.6
Find the distance between each set of points. Round to the
nearest tenth, if necessary.
Find the distance between each set of points. Round to the
nearest tenth, if necessary.
1. (1, 4) and (9, 10)
1. (1, 4) and (9, 10)
2. (−3, 2) and (1, −6)
2. (−3, 2) and (1, −6)
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
387
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.7
NAME: _________________________ PER: ____ LESSON 2.7
Use the distance formula to find the distance between each pair
of points. If necessary, round to the nearest tenth.
Use the distance formula to find the distance between each pair
of points. If necessary, round to the nearest tenth.
1. (2, 7) and (4, 10)
1. (2, 7) and (4, 10)
2. (−8, 3) and (7, 11)
2. (−8, 3) and (7, 11)
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
Core Focus on Geometry
NAME: _________________________ PER: ____ LESSON 2.7
NAME: _________________________ PER: ____ LESSON 2.7
Use the distance formula to find the distance between each pair
of points. If necessary, round to the nearest tenth.
Use the distance formula to find the distance between each pair
of points. If necessary, round to the nearest tenth.
1. (2, 7) and (4, 10)
1. (2, 7) and (4, 10)
2. (−8, 3) and (7, 11)
2. (−8, 3) and (7, 11)
©2013 SMC Curriculum
©2013 SMC Curriculum
Core Focus on Geometry
388
Core Focus on Geometry