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Percent Change & Intro to Business Math

This session is all about measuring change using percent. If you grew three inches since last year, how do you know if that's a lot or a little change in your height? How much does pasta grow when you stick it in water? How much water does a grape hold when compared to a raisin? Percent change is used by scientists, engineers, business and finance analysts, and you will also!

Beginner Level Math Class

We're going to explore working with percentages by reviewing the work we've done do far in class and in our workbooks. Print out the BINGO scorecard before watching the video recordings below. We'll continue to practice with word problems and have fun learning! (Hint: these videos are also posted in the Intermediate section below, as we combined the levels for an in-depth longer session together!)

Percent Workbook #2: Parts 4-5

I've put together a set of videos that will walk you through this workbook, so grab yours and let's work together. There are several videos that cover Workbook #2, and you'll find the first set of videos in the previous session. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.

Download your Percent #2 Workbook

To help you with your daily practice, I've put together a set of workbooks. You can use these or your own workbooks as long as it covers decimals. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.

Percent: Matching Game

Here's a fun matching game that you can print out and have fun with to help you get more comfortable with finding equivalent fractions, decimals and percent numbers. 

Intermediate Level Math Class

Let's get really good at percent change, ratios, percent, proportions, fractions & decimals so we can use them for anything we need to! Print out the BINGO scorecard before watching the video recordings below. We'll continue to practice with word problems and have fun learning! (Hint: these videos are also posted in the Beginner section above, as we combined the levels for an in-depth longer session together!)

Math Activity: Percent Packet #4

This week, the Percent Packet focuses on Percent Change, which is a measure of how something changes over time. This can be an increase or a decrease, depending on what we're looking at. For example, kids grow and increase in height as they age, and we can calculate that change. Kids also eat a lot, and we can measure how much cereal they go through by measuring the percent change in the level of the cereal in the box. 

Scientists use this idea a lot in their experiments when determining how something they are testing affects something else, like how much platinum they need to reduce harmful emissions from gasoline-powered vehicles when they design catalytic converters. Rocket scientists want to reduce their drag as much as possible, so their on-board rocket fuel makes the rocket travel as far as possible, so they might change the shape of the fins or the nose sections. When they test their designs, they are looking at the percent decrease in drag their new fin design gives. 

Quick Quiz!

You're going to be amazed at how much you've picked up in these first three weeks together! Do this quiz on your own first, and if you have trouble, use the video to do it together with me. 

Math Activity: Gummy Bear Lab

Do you have a gummy bear we can use for our math lab this week? Or a piece of pasta? Or something that changes size when placed in water? That’s what we want to use while we practice calculating percent change!

Math Activity: Height & Weight in a Day

Do you think there’s any difference in your weight between when you wake up and go to sleep? It makes sense that there would be a difference, since you eat all day. But you also consume food and eliminate waste during the day as well.

What about your height? During the night, you are horizontal, and gravity pulls on your body differently than it does when you are standing upright. Does this affect your height over the course of the day? In this lab, we’ll calculate your percent change over the course of the day for your weight and your height.

Math Game: Scavenger Hunt

This is a fun way to practice your skills we've done so far in these four weeks. Let's explore how to calculate tax, tip, commission, discount, and mark-ups (this is a bit of a continuation from last week).

Advanced Level Math Class

Math Concepts: Running a Profitable Business

We've spent the past three weeks on personal finances, so when your business starts generating a profit, you have a system already in place for how to handle the money you take in when you pay yourself (which may not happen for a little while, especially if it's a new business or you're new at running a business!)

This week we're going to learn how to set up a business designed to support the lifestyle that you want, and also have room to grow. Too many people start out because they are excited about something, like baking cakes or making jewelry. They are really passionate about a product (or service) and have absolutely no plan for figuring out if it's something that will actually be able to build a business around and generate a steady income for themselves. 

It’s important to map this out ahead of time, because 50% of small business are no longer in business within the first five years due to no demand for what they are offering, not enough money to get the business up and running, picking a market with too much competition, and pricing themselves right out of a profit.

The good news is that anyone can learn how to "run the numbers" and do a quick estimate sketch of their business idea without spending a fortune. We're going to teach you how to do this with the math skills you already have, and you'll have your calculations completed for in a single afternoon.

Math Lab: Running your First Business

You're going to start a small business! Let's walk through this one step at a time, making sure you understand not only the big picture of what it takes to set up and run a business but also see how the math works in this process. This is a great lab to do with your parents together. Use the packet outlined in class for the four videos below.

Starting a Food Truck Business

HINT: We're going to get to this Lab NEXT WEEK - since I already announced it in the Parent Video for this week, I'll leave it here in addition to being posted next week.

We’re going to start our own FOOD TRUCK business! Let’s learn the business side of things to be sure we make good financial decisions before selling our first taco. We'll discover how to do the math calculations for our loan payment, how much we'll earn per hour, and make our way through lots of important decisions like location, loan selection, and what to sell in our truck.

Math Challenge

Each session, I have a special Math Challenge for you to work on after you work through some of the content in this area of math. The goal for these special math challenges is for you to be able to communicate your great ideas with your family and friends, without them being in a math class or having any knowledge of a specific area of math. You should be able to convey your great ideas to most people that are interested in hearing what you have to share. Many families find this part of the math program exciting for them to participate in with their student!

Solution to Percent Week #3 Math Challenge

If she can’t change a dollar, then the cash register could not have more than one half dollar. (Two half dollars would change a dollar.)

If she can’t change a half dollar, then the register has no more than one quarter (two quarters could change a half dollar), and no more than four dimes (five dimes would change a half dollar).

No change for a dime means no more than one nickel, and no change for a nickel means no more than four pennies.

So the cash register could not have contained more than:

• 1 half dollar:  $0.50
• 1 quarter:  $0.25
• 4 dimes:  $0.40
• 1 nickel:  $0.05
• 4 pennies:  $0.04

which totals to $1.25. A dollar’s change can still be make with these coins (example: a half dollar, quarter, two dimes, and a nickel) but we know that the register cannot have more coins than those listed above. They add to $1.25 which is 9 cents more than $1.15 (the amount we are told that is in the register).

Now the only way to make 9 cents is with a nickel and four pennies, so those are the coins that must be eliminated.

The remaining coins: half dollar, quarter, and four dimes – will not provide change for a dollar or any smaller coin and they add up to $1.15 so we have found the only answer to the puzzle.