# Modeling with Geometry Worksheets

When we begin to study geometry there are two branches that we explore. Teachers most commonly start with plane geometry which focuses on two-dimensional figures. The shapes that we work with here can easily be drawn on a piece of paper to be modeled. These models are helpful, but do not directly relate to the objects that we encounter as we travel through our days. As students become proficient with understanding the underlies of these types of shapes, teachers will shift over to the second related branch of solid geometry. This branch focuses on understanding the nature of three-dimensional shapes applications within our world. Solid geometry lends itself to things we come across in our world. The selection of worksheets and lessons below will help students shift to thinking in a 3d sense of modelling their world.

### Aligned Standard: High School Geometry - HSG-MG.A.1

- Birdy Shapes Step-by-step Lesson - Name all the shapes you see in this bird.
- Guided Lesson - More scenes for you to breakdown the types of shapes you see.
- Guided Lesson Explanation - I outlined these with color. I might add an arrow later in the month to see it clearer.
- Practice Worksheet - Breakdown the images and name all the shapes that you see.
- Matching Worksheet - You might need to print this one at a higher quality.

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

### Homework Sheets

This is actually applied geometry that you will even find at the college level.

- Homework 1 - This butterfly has total 2 circles and 4 ovals 5 rectangles 2 on body and 2 circles on front and 4 ovals on wings, 5 rectangles on back.
- Homework 2 - This toy train has 3 circles, 5 rectangles and 1 triangle.
- Homework 3 - We see 4 rectangles and 4 circles in this bus, but when roughly measured, all the sides are not equal.

### Practice Worksheets

You might need to stare at these images for a while.

- Practice 1 - Name 2 geometric shapes that can clearly be seen in this washing machine.
- Practice 2 - You can find a rectangle in a lot of these.
- Practice 3 - That hat is called a mortar board.

### Math Skill Quizzes

Applied mechanics students wrote in and said that they can see over 200 shapes in each image? I'm still waiting for their explanation on that one.

- Quiz 1 - What do you see in an: eraser, ice cream, guitar, and compass.
- Quiz 2 - Some really unique choices here.
- Quiz 3 - The sun shapes are classics.

### How to Use Shapes and Measures to Describe Objects

Shapes are all around us. We can see shapes in all objects, and there are uncountable shapes. These geometric objects are quite fun to play and learn with! We are aware that the shapes that we have been working with commonly are described as be two or three dimensional. 2 dimensions consist of an x and y coordinate. As a result, they have a length and width. They are flat and something we would commonly draw on our paper like a rectangle or triangle. Everything is visible when we make a drawing. 3 dimensional shapes add a z coordinate which adds a height dimension to them. You can draw these on your paper too, but not everything is visible when we do this. An example would be a cube or cone where we cannot see every aspect of the shape on our paper.

The faces of 3d shapes are made up of 2d shapes. You can see this when you travel around your community. Take a look at a house which is a nice solid 3d object. Looking from the side of a house you should be able to see a rectangle as the base and commonly a triangle for the roof.

Take an example; let's say you need to draw a tree trunk. Using geometric techniques and shapes, drawing and describing it gets easier. Just draw a cylinder! And the cylinder will look similar to the tree trunk. Here's another one; for drawing a stop sign, the geometric shape you can use is an octagon.

Now, tell us how you can describe a traffic light?

Yes, you are right! It has a rectangle and three circles!