In our second lesson today we extended our understanding of exponents and roots by working with the exponent of 3. When we take something to the third power, we can say that we cubed it. The inverse operation of cubing is cube rooting, just like the square root is the inverse of squaring. The 3-2 homework is very similar to the 3-1 homework. However, many calculators don't have a cube root button. Luckily, the calculator in the Math Tools part of Pearson DOES have a cube root button. The calculator inside of the homework Question Help does not, though. Check out the screen shots below to see how to get to the cube root button on the calculator in the math tools. We did two lessons today, 3-1 and 3-2. They are addressed in separate posts. The first lesson, 3-1, focused on the relationship between squaring a number and square rooting a number. Square and square root are inverse operations, which means they undo each other. We took notes in class, which you can download here. Check out some examples from today below. Here's a great video that reviews many things we learned today. Today we worked on comparing real numbers by using >, <, and =. We also practiced putting real numbers in order, such as from least to greatest or greatest to least. One strategy to help us do these things is to turn all the numbers into their decimal equivalents. For fractions, that means using division to turn the fraction into a decimal. For a square root, we need to do the square rooting to get a decimal approximation. Once all of our numbers are in decimal form, we can think about money to help us order the numbers. Negative numbers are like owing money, and positive numbers are like having money. Check out the video below for some examples of ordering rational and irrational numbers. (The beginning is a review of how we classify numbers. She starts the ordering practice at 5:49.) Homework 1-4 for homework! Get caught up on your missing work!
Today we learned about irrational numbers, and how they are different from rational numbers, which we talked about yesterday. Here are the big differences:
We also talked about the different types of numbers and how they fit into the Real Number System. We looked at a chart like the ones below, and practiced classifying numbers to see which kinds of numbers they could be. Still struggling? Check out the videos below to help you review! The second one is a rap about rational versus irrational. Also, download the Virtual Nerd app on your smart phone or tablet for math help videos at your fingertips!
Your homework tonight is 1-2 Homework.
If you haven't completed 1-1 Homework yet, you need to do that, too. Remember to show evidence! Today's lesson was on rational numbers. Rational numbers are numbers that can be written as fractions. When a rational number is written in decimal form, it either terminates (stops) or repeats a digit or section of digits. Being able to turn fractions into equivalent decimals helps us when we need to compare numbers that are different forms. Our math website is pearsonrealize.com Your username is rl###### (the pound signs represent your 6-digit student ID number). Your password is RL######## (the pound signs represent your 8-digit birthday in MMDDYYYY format). Once you log in, click on the purple 8th grade program. If you want to watch the lesson from today, follow the steps below. To access your online homework, click on the red Classes circle. Then follow the steps below. |
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