Boundary Builders Practice Worksheet Boundary Builders
Drafting Studio: Perimeter & Area
Name:
Date:
1
Storage Unit
Calculate the perimeter and area of this storage room.
P: ________ ft
A: ________ ft²
12 ft 8 ft
7 cm 7 cm
2
Drafting Tile
A square tile measures 7 cm on each side. Find the total boundary and interior space.
P: ________ cm
A: ________ cm²
3
Complex Deck Design
Break this L-shaped deck into two rectangles. Calculate the total perimeter (railing needed) and total area (staining needed).
4 m 9 m 10 m 4 m
TOTAL PERIMETER: _________________
TOTAL AREA: ______________________
4
The Garden Challenge
Maya has 40 meters of fencing . She needs the garden with the largest possible area . Which option should she choose?
Option A: 15m x 5m
Sketch Area
AREA: _________ m²
Option B: 10m x 10m
Sketch Area
AREA: _________ m²
MAYA SHOULD CHOOSE OPTION ________ BECAUSE: ____________________________________________________________________
5
The Missing Measurement
The area of a rectangular hallway is 54 square feet . If the length is 9 feet , what is the width?
Diagram Sketch
WIDTH = ___________ ft
Angle Hunters Practice Worksheet Angle Architects
Degrees & Classifications
Name:
Acute < 90° Right = 90° Obtuse > 90° Straight = 180°
Part 1: Classification Squad
Part 2: Protractor Precision
Align your protractor center with the vertex dot (•) and use the thin rays for accuracy.
MEASURE: _________°
MEASURE: _________°
Architect's Challenge
Draw an angle that measures 115° exactly. Label the vertex and rays.
This is an __________________________ angle.
Mirror Magic Symmetry Practice Worksheet Mirror Magic
Symmetry & Shape Attributes
NAME:
Section 1: Reflection Detectives
Draw all lines of symmetry and write the total number in the dark box below each shape.
LINES: ___
LINES: ___
LINES: ___
LINES: ___
Section 2: Complete the Masterpiece
The red line is the mirror. Draw the reflection on the grid so it perfectly matches the original.
Section 3: Polygon Riddles
1
I have 4 equal sides and 4 right angles. Who am I?
2
I have 8 vertices and 8 sides. What is my name?
Prism Professionals Worksheet Prism Professionals
The Science of Volume & Capacity
Name:
V = Length × Width × Height
01: Unit Cube Counting
VOLUME: ________ units³
VOLUME: ________ units³
02: Prism Formula Masters
Calculate the volume of a blueprint storage box:
LENGTH: 10 in
WIDTH: 5 in
HEIGHT: 4 in
V = _________ in³
Find the capacity of this shipping container:
Diagram: 8m x 3m x 2m
V = _________ m³
03: The Liquid Challenge
Which vessel holds more? Vessel A (5x5x10 cm) or Vessel B (8x4x3 cm)?
Vessel A: ________ cm³
Vessel B: ________ cm³
Vessel _________ holds _________ more cm³ than Vessel _________.
Geometry Gauntlet Task Cards Drafting Task
1
Perimeter
A floor plan rectangle has a perimeter of 30 cm. If the length is 10 cm, what is the width?
Drafting Task
2
Angles
An architect designs a joint at 89 degrees. Is this angle acute, right, or obtuse?
Drafting Task
3
Symmetry
How many lines of symmetry can be found in a regular hexagon drafting template?
Drafting Task
4
Volume
A supply box has 3 layers. Each layer has 8 unit cubes. What is the total volume?
Drafting Task
5
Area
A square tile has an area of 36 cm². What is the length of one side in cm?
36 cm²
Drafting Task
6
Polygons
I have 4 sides. I have 2 pairs of parallel sides, but NO right angles. What am I?
Drafting Task
7
Straight
A straight angle is split. One part is 45°. What is the measure of the other part?
Drafting Task
8
Litres
A vessel holds 500 mL. You add 1,500 mL more. How many LITERS do you have total?
? Liters
Unit Mastery Assessment Project Mastery Quest
Unit Certification: Geometry & Measurement
NAME:
01. Boundaries
1. Calculate the area and perimeter:
15 cm 6 cm
A: _________ cm² | P: _________ cm
2. A square has a perimeter of 24 in. What is its area?
AREA: _________ sq in
02. Angles
3. Classify these measures:
120°
45°
90°
4. Measure the angle (Vertex at •):
DEGREES: _________°
03. Symmetry & Form
5. Circle the symmetrical items:
S M
6. Shape with 8 sides and 8 vertices:
7. All squares are rectangles. TRUE FALSE
04. Volume
8. V = L × W × H (12m x 3m x 2m)
VOLUME: _________ m³
9. Which holds MORE?
Tank A: 2 L | Tank B: 1500 mL
CHOOSE: _________
10. Master Designer Task
Draw a shape with 1 line of symmetry, 1 obtuse angle, and perimeter of 20 units.
Geometry Unit Answer Key Answer Keys
Certified Project: Shape & Space
Worksheets 1-4: Unit Practice
Boundary Builders: 1: P=40, A=96 | 2: P=28, A=49 | 3: P=38, A=60 | 4: Option B (100m²) | 5: Width=6ft
Angle Hunters: 1: Acute/Right/Obtuse | 2: 55° (+/-2) / 150° (+/-2) | 3: 115° = Obtuse
Mirror Magic: 1: 4/3/Inf/2 | 2: Reflected shapes touch red line | 3: Square / Octagon
Prism Pros: 1: 5 units³ / 4 units³ | 2: 200 in³ / 48 m³ | 3: A=250, B=96. A is larger by 154 cm³
Unit Mastery Assessment (Final)
1. Rectangle: Area: 90 cm² | Perimeter: 42 cm
2. Square Area: P=24 -> Side=6 -> Area: 36 sq in
3. Classify: 120°: Obtuse; 45°: Acute; 90°: Right
4. Protractor: Approx 145° (+/- 3)
5. Symmetrical: Triangle, M, Trapezoid
6. Name: Octagon
7. True/False: TRUE
8. Prism Volume: 72 m³ (12 x 3 x 2)
9. Comparison: Tank A (2000 mL > 1500 mL)
10. Design: Verify: 1 Line Symmetry, 1 Obtuse Angle, Perimeter = 20 units.
