# Design Math Worksheets

When students are creative and they focus their attention more to the arts, they often overlook the value that math brings towards design. Math can help impact the power of any design from a product like a mobile phone to an abstract painting. When you begin to realize the crossover that exists between these two fields you will see a big difference in the final product. There are aspects that we discuss in math such as arrangement, patterns, and sequence that can be used to add balance and even depth to anything that. The concepts of space usage and symmetry help keep a larger sense of belonging to any object or design that embraces it. The series of lessons and worksheets will help you see all of the geometry that goes into design and help you apply your math skills to the next design project.

### Aligned Standard: High School Geometry - HSG-MG.A.3

- Candy Bar Step-by-step Lesson - Time to see how many candy bars you can shove in your closet.
- Guided Lesson - Shipping mobile phones, inheriting a water tower, and building tabletops. Geometry rocks!
- Guided Lesson Explanation - These problems each require you to think outside the box.
- Practice Worksheet - I do tend to gravitate towards three concepts.
- Matching Worksheet - The units make it simple, but they have to show their work.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

There are 3 common themes that are in these types of problems.

- Homework 1 - You want to send some chocolates to your relatives. The chocolates are packed in boxes that are 3 feet long, 4 foot wide and 5 foot high. How many of these boxes can you pack into a carton which is 7 feet long, 7 feet wide, and 18 feet high?
- Homework 2 - Start by finding the total cubic footage of the carton.
- Homework 3 - See how many boxes you can fit into the area.

### Practice Worksheets

I added images where I could fit them. I'd recommend that students always draw a picture when doing these problems.

- Practice 1 - Two carpenters decided to design dining table for a sale. The dimensions of the dining table are as shown.
- Practice 2 - A water company inherits a water tank; as seen below. The tank is 25 cm thick throughout the entire tank. One cubic foot of water equals 9 gallons.
- Practice 3 - Kelly is an exporter. She needs to send cakes to many different locations. Cakes are packed in boxes that are 8 inches long, 6 inches wide and 5 inches high. How many of these boxes can you pack into a big container that is 40 inches long, 25 inches wide and 30 inches high?

### Math Skill Quizzes

Students should have some difficulty here. There is very normal and very Okay.

- Quiz 1 - How many of these cartons could you pack into a storage locker that is 80 inches long, 60 inches wide and 90 inches high?
- Quiz 2 - The tower is 15 feet thick throughout the entire tower. One cubic foot of water equals 9 gallons. How many gallons of water can be stored in the water tower?
- Quiz 3 - Two carpenters decided to design a door for a home.

### How is Geometry Used in the Design of Houses?

Geometry is not just a branch of math. It is used for variety of other purposes. Patterns and designs are found everywhere. Even in nature itself. Flowers, seashells, beehives, all are examples of natural patterns. Getting inspirations from these designs, humans created geometry, which has abundant techniques and methods to calculate various measurements that are necessary for constructing multiple buildings, big and small.

Points, lines, angles, curves, two- and three-dimensional shapes, volumes, and proportions constitute the basics of home designs, and they are all calculated through geometry! For building our house walls, ceilings, length of our rooms, everything was calculated using geometry. Even the huge pyramids, cathedrals, and various other buildings have a wealth of geometry in them!

Building a home is the quintessential geometry design project there is. This branch of math is found at core of every major aspect of the construction process. The planning of the home begins with an engineer determining the buildable portion of the land that was purchased to build upon. An architect then designs the floor plan based on the goals of the homeowner. Everything an architect does is based on the principles of fundamental geometry to ensure level working living space. Once the architect finishes with the plans an engineer goes in and actual checks all of the math before it is approved to begin construction.

Once the building project is approved excavators come in and grade the property to make the space more usable for those that live there. They will remove awkward pitches and eventually dig out a foundation for the home to built upon. Foundations are normally rectangular in shape, you may have seen a cinder block before, this is a common foundational geometric shape that is used because it resists shifts of the surrounding soil both in a horizontal and vertical direction relatively equally.

Framers then come in and construct all of the geometric shapes that the architect decided upon and replicates the materials to the exact dimensions that were set for by the plans. If you ever get a chance to look at freshly framed home, you will see an endless river of geometric shapes. The wiring and plumbing come next. From there it is entire filled with insulation to help the home maintain a constant temperature. The finishing of the home is entirely based on geometry drywall and flooring is setup across the home. Ever single cut of those pieces is based on geometry. The more efficient that the builders are at calculating the materials used, the more money they save themselves and their clients.