Pre-Test Results - Geometry
Benchmark
Period 1
Period 3
Period 5
4.2a Describe, analyze, and reason informally about the
attributes of two- and three-dimensional shapes. (1 MC)
0
6
4
4.3a Identify and compare similar shapes using ratio,
proportion, or scale factor. (1 MC & 1 CR)
0
1
1
4.4a Construct a coordinate graph and plot ordered
integer pairs in all four quadrants. (1 MC)
14
23
11
4.5a Solve problems involving the circumference of a
circle. (1 MC & 1 CR)
2
19
6
4.5b Solve problems involving the areas of circles,
triangles, and parallelograms. (1 CR)
0
2
2
4.5c Solve problems involving the surface area of
rectangular prisms. (2 MC & 1 CR)
0
0
0
4.6a Use reflections, translations, and/or rotations to
determine congruence between figures. (1 MC)
1
5
0
Taylor – Geometry Unit
Eligible for Extension List
Standard Skill
Period 1
Period 3
Period 5
4.2a
2-D & 3-D Shapes
Diego, Soleil, Tiyanna, Mackenzie,
Mila, and Pedro
Leslye, Reyna, Juan, and Carlos
4.3a
Similar Figures
Soleil
Jazmine
4.4a
Coordinate Graphing
Steven, Ray, Kaedan, Eddie, Alexis,
LaNya, Brian, Jackie, Charlotte, Sara,
Jayna, Amadee, Linzi, and Dayana
Jessica, Leticia, Ale, Kristy, Rhana,
Juan, Reyna, Wendy, Evelyn,
Payton, Danny, Tiyanna, Alissa, Justin Kendrick, Jenny, Yoanna, Francisco,
C., Joel, Carmen, Rhemi, Riley, Chris, Anastaja, Darius, and Jazmine
Jamie, Diego, Mackenzie, Pedro, Soleil,
Alex, Luis, and Justin N.
4.5a
Circumference
Shane and LaNya
Autumn, Ale, Kristy, Rhana, Payton,
Danny, Tiyanna, Justin C., Joel,
Carmen, Rhemi, Riley, Chris, Jamie,
Mackenzie, Pedro, Soleil, Alex, and
Justin N.
Leslye, Carlos, Juan, Francisco, Luis,
and Rachel
4.5b
Area
Jessica & Rhemi
Kendrick and Jenny
4.5c
Surface Area
4.6a
Transformations
Ray
Payton, Justin C., Joel, Soleil, and
Rhemi
2-D & 3-D Figures
STANDARD
4.2a Describe, analyze, and reason informally
about the attributes of two- and threedimensional shapes, i.e. angles, sides,
edges, faces, and vertices.
LEARNING TARGET
Today I can describe, analyze, and reason
informally about the attributes of two- and
three-dimensional shapes.
KEY VOCABULARY
Polygon
Regular Polygon
Angles
Sides
Congruent
Scalene
Isosceles
Equilateral
Acute
Obtuse
AGENDA
• (10 min) Warm-Up
• (5 min) Review : Types of Triangles
• (15 min) Example 1: Classify the Triangle
• (5 min) Review: Types of Quadrilaterals
• (15 min) Example 2: Statements About
Quadrilaterals
• (5 min) Review: Types of 3-D Shapes
• (15 min) Example 3: Statements about
Pyramids
• (5 min) Exit Ticket
• (5 min) Review Correct Answers
TCAP QUESTIONS
4.2a 1 MC (1 point)
2-D & 3-D Figures
WARM-UP
1. Draw two different triangles.
2. Find someone who has a similar triangle to one of
yours.
3. Discuss what makes the two triangles similar. Use
vocabulary to include angles and sides.
4. Find someone who has a different triangle than one of
yours.
5. Discuss what makes the two triangles similar. Use
vocabulary to include angles and sides.
6. Write how you know your triangles are similar or
different. Use vocabulary to include angles and sides.
2-D & 3-D Figures
REVIEW Classifying Triangles
2-D & 3-D Figures
EXAMPLE 1
How can you classify this triangle?
STRATEGY Examine the sides and the angles.
SOLUTION The triangle can be classified as an isosceles
triangle and as a right triangle.
2-D & 3-D Figures
REVIEW Types of Quadrilaterals
2-D & 3-D Figures
EXAMPLE 2
Which of the following statements is always true?
A. Every parallelogram is a rectangle
B. Some trapezoids are parallelograms
C. Every rhombus is a square
D. Every square is a parallelogram
STRATEGY Compare each statement with the definitions.
SOLUTION Choice D is always true: Every square is a
parallelogram.
2-D & 3-D Figures
REVIEW Types of 3-D Shapes
2-D & 3-D Figures
EXAMPLE 3
Which statement is always true?
A. All pyramids have 5 faces
B. All pyramids have 4 vertices
C. Every triangular pyramid is a rectangular pyramid
D. Every square pyramid is a rectangular pyramid
STRATEGY Compare each statement pictures of
pyramids.
SOLUTION Choice D is always true: Every square
pyramid is a rectangular pyramid.
2-D & 3-D Figures
LESSON PRACTICE
• 6 Multiple Choice questions
• 1 Constructed Response question (4 parts)
ANSWERS (Multiple Choice)
1. D
2. D
3. C
4. B
5. D
6. D
2-D & 3-D Figures
EXIT TICKET
Similar Figures
STANDARD
4.3a Identify and compare similar shapes
using ratio, proportion, or scale factor.
LEARNING TARGET
Today I can identify and compare similar
shapes using ratio, proportion, or scale factor.
KEY VOCABULARY
Similar
Ratio
Proportion
Scale Factor
AGENDA
• (10 min) Warm-Up
• (5 min) Review: Scale Factor
• (10 min) Example 2: Using Scale Factor
• (20 min) Lesson Practice
• (20 min) Constructed Response
• (5 min) Exit Ticket
• (5 min) Review Correct Answers
TCAP QUESTIONS
4.3a 1 MC (1 point) & 1 CR (3 points)
Similar Figures
WARM-UP
Which two figures appear to be similar? Explain.
Similar Figures
EXAMPLE
Quadrilateral PQRS is similar to quadrilateral TUVW.
What is the length of side VW?
STRATEGY Use corresponding side lengths to find the
scale factor.
SOLUTION The length of side VW is 18 units.
Similar Figures
LESSON PRACTICE
• 4 Multiple Choice questions
• 1 Constructed Response question (4 parts)
ANSWERS (Multiple Choice)
1. C
2. C
3. A
4. B
Similar Figures
EXIT TICKET
Circumference & Area
STANDARDS
4.5a Solve problems involving the
circumference of a circle.
4.5b Solve problems involving the areas of
circles, triangles, and parallelograms.
5.4a Develop and use procedures for
formulas to solve problems involving area of
polygons.
LEARNING TARGET
Today I can solve problems involving the
circumference of a circle and area of circles,
triangles, parallelograms, and trapezoids.
KEY VOCABULARY
Circumference
Area Formula
AGENDA
• (10 min) Warm-Up
• (15 min) Example 1: Circumference
• (10 min) Example 2: Area of a Circle
• (15 min) Constructed Response
• (10 min) Review: Area Formulas
• (15 min) Example 3: Area of a Trapezoid
• (5 min) Exit Ticket
• (5 min) Review Correct Answers
TCAP QUESTIONS
4.5a 1 MC (1 point), 1 CR (2 points)
4.5b 1 CR (3 points)
5.4a 1 MC (1 point), 1 CR (2 points)
Circumference & Area
WARM-UP Parts of a Circle
1.
2.
3.
4.
5.
Draw a circle.
Label the circumference.
Label the diameter.
Label the radius.
Write the value for pi (π) to the hundredths place.
Bonus: Write the formula for finding the circumference of
a circle.
Bonus: Write the formula for finding the area of a circle.
Circumference & Area
EXAMPLE 1
A circular pond has a radius of 12 feet. What is the
circumference of the pond to the nearest foot?
STRATEGY Use the formula for circumference when you
know the radius.
SOLUTION The circumference of the pond to the nearest
foot is 75 feet.
Circumference & Area
EXAMPLE 2
A circular mirror has a diameter of 18 inches. What is the
area of the mirror?
STRATEGY Use the formula for the area of a circle.
SOLUTION The area of the mirror is approximately 254.34
square inches.
Circumference & Area
REVIEW Area formulas for polygons
Shape
Picture
Area Formula
Parallelogram
A = bh
Rectangle
A = lw
Square
A = s2
Triangle
A = bh ÷ 2
Trapezoid
A = h(b1 + b2) ÷ 2
Circumference & Area
EXAMPLE 3
What is the area of this trapezoid?
STRATEGY Use the formula for area of a trapezoid.
SOLUTION The area of the trapezoid is 756 square
inches.
Circumference & Area
LESSON PRACTICE
• 7 Multiple Choice questions
• 1 Constructed Response question (2 parts)
ANSWERS (Multiple Choice)
1. B
2. C
3. C
4. C
5. A
6. B
7. C
Circumference & Area
EXIT TICKET
Surface Area of
Rectangular Prisms
STANDARD
4.5c Solve problems involving the surface
area of rectangular prisms.
LEARNING TARGET
Today I can solve problems involving the
surface area of rectangular prisms.
KEY VOCABULARY
Surface Area
Faces
AGENDA
• (10 min) Warm-Up
• (10 min) Example 1: Surface Area
• (10 min) Example 2: Surface Area
• (20 min) Lesson Practice
• (15 min) Constructed Response
• (5 min) Exit Ticket
• (5 min) Review Correct Answers
TCAP QUESTIONS
4.5c 2 MC (1 point each), 1 CR (4 points)
Surface Area of
Rectangular Prisms
WARM-UP
What do these shapes all have in common? Explain using
math vocabulary.
Surface Area of
Rectangular Prisms
EXAMPLE 1
Find the surface area of this rectangular prism.
STRATEGY Add the areas of the 6 faces to find the total
surface area.
SOLUTION The surface area of the rectangular prism is
280 square inches.
Surface Area of
Rectangular Prisms
EXAMPLE 2
Find the surface area of this rectangular prism.
STRATEGY Use the formula for the surface area of a
rectangular prism.
SOLUTION The surface area of the rectangular prism is
88 square centimeters.
Surface Area of
Rectangular Prisms
LESSON PRACTICE
• 6 Multiple Choice questions
• 1 Constructed Response question (1 part)
ANSWERS (Multiple Choice)
1. A
2. C
3. D
4. B
5. D
6. B
Surface Area of
Rectangular Prisms
EXIT TICKET
The Coordinate Plane
STANDARD
4.4a Construct a coordinate graph and plot
ordered integer pairs in all four quadrants.
AGENDA
• (10 min) Warm-Up
• (10 min) Example 1: Plotting Points
• (10 min) Example 2: Locating Points
LEARNING TARGET
Today I can construct a coordinate graph and • (10 min) Lesson Practice
• (5 min) Exit Ticket
plot and locate integer ordered pairs in all
• (5 min) Review Correct Answers
four quadrants.
KEY VOCABULARY
Surface Area
Faces
TCAP QUESTIONS
4.4a 1 MC (1 point )
The Coordinate Plane
WARM-UP
Draw and label a coordinate plane from -5 to +5 on both
the x-axis and y-axis.
The Coordinate Plane
EXAMPLE 1
Plot a point on the coordinate plane for the ordered pair
(4, -3).
The Coordinate Plane
EXAMPLE 2
What are the coordinates for point P?
The Coordinate Plane
LESSON PRACTICE
• 6 Multiple Choice questions
• 1 Constructed Response question (3 parts)
ANSWERS (Multiple Choice)
1. A
2. C
3. D
4. C
5. C
6. D
The Coordinate Plane
EXIT TICKET
Translations, Reflections,
and Rotations
STANDARD
4.6a Use reflections, translations, and/or
rotations to determine congruence between
figures.
LEARNING TARGET
Today I can use reflections, translations,
and/or rotations to determine congruence
between figures.
KEY VOCABULARY
Transformation
Reflection
Translation
Rotation
AGENDA
• (10 min) Warm-Up
• (10 min) Review: Types of
Transformations
• (5 min) Activity: Move It!
• (5 min) Activity: Partner Mirror
• (15 min) Example 1: Reflections
• (10 min) Example 2: Translations
• (10 min) Lesson Practice
• (5 min) Exit Ticket
• (5 min) Review Correct Answers
TCAP QUESTIONS
4.6a 1 MC (1 point )
Translations, Reflections,
and Rotations
WARM-UP
Would you let the purple block drop straight down or rotate
it? Explain.
Translations, Reflections,
and Rotations
REVIEW Types of transformations
ACTIVITY: Move It!
ACTIVITY: Mirror, Mirror
Translations, Reflections,
and Rotations
EXAMPLE 1
Reflect triangle ABC over the y-axis.
STRATEGY Reflect each vertex over the y-axis.
SOLUTION Triangle DEF is a reflection of triangle ABC
over the y-axis.
Translations, Reflections,
and Rotations
EXAMPLE 2
Which transformation will move triangle JKL to triangle
PQR?
STRATEGY Examine how each vertex moved.
SOLUTION A translation of 8 units down will move triangle
JKL to triangle PQR.
Translations, Reflections,
and Rotations
EXAMPLE 3
Rotate triangle RST 180 degrees clockwise around point
S.
STRATEGY Rotate each vertex around point S.
SOLUTION Triangle SVW is a rotation of triangle RST 180̊
clockwise around point S.
Translations, Reflections,
and Rotations
LESSON PRACTICE
• 4 Multiple Choice questions
• 1 Constructed Response question (2 parts)
ANSWERS (Multiple Choice)
1. A
2. D
3. D
4. C
Translations, Reflections,
and Rotations
EXIT TICKET