Middle School Statutory Authority: Grade 6, Adopted By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional.
Parentheses math Numerical expressions Video transcript - [Voiceover] What I hope to do in this video, is give ourselves some practice interpreting statements and writing them as mathematical expressions, possibly using parentheses. So let's get started. And for any of these statements, if you get so inspired, and I encourage you to get so inspired, pause the video and see if you can write them as mathematical expressions.
So this first one says minus 19, divided in half. So we could say, another way to think about divided in half is divided by two, so we could write this as minus 19, and we're going to do that first, so that's why I put the parentheses around it, divided by two, or divided in half.
That's one way that we could write this. Now the next one, and once again, pause it if you get inspired, and I encourage you to. Three times the sum of 56 and seven.
So it's gonna be three times the sum of 56 and seven. So the sum of 56 and seven, we want to take that first, so it's going to be 56 plus the seven, that's the sum of 56 and seven, and then we want to do three times that.
We want to do three times this sum. So we could write it like that. Another way we could write write and evaluate expressions 6th grade, when you're dealing with parentheses, and you're going to see this more and more as you get into more and more fancy algebra, I guess you could say, but what I'm about to show you isn't so fancy, is, you don't have to write the multiplication sign here.
You could just write three, and then open parentheses, 56 plus seven, and this, too, is three times the sum of 56 and seven. And you want to be very careful, because you might be tempted to maybe do it without the parentheses, so you might be tempted to do something like this, three times 56 plus seven, but this one isn't, obviously, three times the sum of 56 and seven.
In fact, the standard way to interpret this is that you would do the multiplication first. You would do three times 56, and then add seven, which is going to give you a different value, and you could try it out, than if you were to add the 56 and the seven first.
So, to make sure that you do the 56 and the seven first, you want to put this parentheses around it. So let's keep going. The sum of three times 56 and seven. So we're gonna take the sum of two things. The first thing that we're gonna take the sum of is three times So, three times 56, and seven.
Let me do that in a different color.
So this right over here is the sum of three times 56, and seven. Now it's always good to write the parentheses. It makes it a little bit cleaner, a little bit more obvious. Look, I'm gonna take the three times 56, I'm gonna do that first, and then I'm gonna add seven, but based on what I just told you, the standard way, if someone were to just write three times 56 plus seven, this actually can still be interpreted as the sum of three times 56, and seven, because as I just said, the standard, the convention, so to speak, is to do your multiplication first.
Order of operations, which you may or may not, if you're not familiar, you will be familiar with it soon, is to do the multiplication first, and then add the seven, or then do the addition.
But just to make it clear, it doesn't hurt to put the parentheses there. Three times 56, plus seven. Now we have 43 minus the sum of 16 and So, 43 minus, so we're gonna have 43 minus, minus the sum of 16 and So, minus the sum of 16 and So, from 43, we're gonna take the sum of 16 and 11, and so, once again, the parentheses make it clear that we're going to take the sum of 16 and 11, and we're gonna take that from The parentheses are very, very, very important here, because if we just did 43 minus 16 plus 11, the standard way of interpreting this would be 43 minus 16, and then adding 11, which would give you a different value than 43 minus the sum of 16 and Course Summary If you need some help getting caught up in math class, our informative 6th Grade Math course can help you get back on track.
6th grade. Here you will find all sixth grade resources to guide and support mathematics teaching and learning. These resources are organized by mathematical strand and refer to specific Common Core math content standards. Common core expressions and equations mathematics for fifth grade.
This page provides a summary of the key sixth grade curriculum and learning objectives for language arts, math, social studies, and science. Under each is a more detailed description of what children learn in sixth grade subjects, including detailed lesson descriptions of Time4Learning learning activities.
- [Voiceover] What I hope to do in this video, is give ourselves some practice interpreting statements and writing them as mathematical expressions, possibly using parentheses.
Exponents Write multiplication expressions using exponents Evaluate exponents Find the missing exponent or base Exponents with decimal bases Exponents with fractional.