What you will submit

There are two parts to this assignment; you must complete both parts. You are submitting two items:

• Part 1: Using Proportions to Solve Triangles Project as a PDF file
• Part 2: Ice Skating Equation as a PDF file

Instructions:

1. Read the lesson on Ratios on the website: Math is Fun; they show how to measure a tree by using its shadow and setting up a ratio (scroll down the page to the section called "Using Proportions to Solve Triangles": Study the theory they use). Use this information to help you complete part 1 of the assignment.
2. Review Lesson 2.3 on Solving Multi-Step Equations to support you with Part 2 of the assignment.

Part 1: Ratios -Using Proportions to Solve Triangles

Directions:

1. Find two DIFFERENTobjects that cast shadows that are parallel (you can move one so that it is parallel to the other object). For example, your objects could be a mailbox and a garden stake. **If the weather in your area is not sunny during the time of this assignment, you can modify the assignment by doing it inside with someone holding a flashlight while you take measurements.**
2. Take a picture of you measuring the height and the shadow of both objects. Record the measurements in the table below, along with the the name of each object.
3. Find a third object that is too tall to measure and take a picture of you measuring its shadow; record the result in the table below along with the name of the object.
4. Complete the steps below.

Step 1.Measure the height and shadows of objects 1 and 2, then measure the shadow of object 3 only.

Make a note of the time of day you measured the shadows (all objects should be measured at the same time of day): _______________

Name of Object 1:	____	Name of Object 2:	____	Name of Object 3:	____
Measured height of object 1:	____	Measured height of object 2:	____	Estimated height of object 3:	____
Measured shadow of object 1:	____	Measured shadow of object 2:	____	Measured shadow of object 3:	____

Step 2.Write the decimal equivalent for the ratios of object 1 and object 2. (Divide the height and shadow for both objects to get their decimal values.)

Step 3. Are the ratios approximately the same? How close are they? i.e. +/- 0.02 etc. Show your calculations.

Step 4.Use one ratio to set up a new proportion to find the unknown height of your third object. Show your calculations.

For example, use the height and shadow of object 1, then use x for the height of the third object and the shadow of the third object.

Step 5. Attach the pictures of you taking measurements of your objects to the assignment.

Jerry is deciding if he should buy a session pass (unlimited admission) at his local ice skating rink. Below is the pricing for his rink. Each time he visits (whether on a session pass or just general admission), he pays for a locker and a helmet. Answer the following questions below:.

Admission Prices PUBLIC SKATING GENERAL ADMISSION WITH SKATE RENTAL $25 ANNUAL PUBLIC SESSION PASS WITH SKATE RENTAL $299 LOCKER RENTAL-ONE TIME USE $5 HELMET RENTAL $5 SKATE HELPER-PER HOUR $15