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Skills to Review from Math 8--2024
Skills to Review from Math 8--2024
Order of Operations/Evaluating Expressions
Solving Equations
Linear Equations (Writing, graphing)
Systems of Equations (Graphing)
Below you will find a section for each of these skills. It will include valuable links to notes, videos, or other tutorials. Each section will also include a practice worksheet and key.
Feel free to reach out to Ms. Sprigg with questions: nsprigg@dcsdk12.org.
After that, is a more in-depth intro to Algebra 1, developing more advanced Algebra skills. These skills include:
Writing linear equations given a point/slope
Writing linear equations given two points
Solving Systems of Equations by Substitution
Solving Systems of Equations by Linear Combinations
Week 1--Order of Operations/Evaluating Expressions
Week 1--Order of Operations/Evaluating Expressions
I know. I KNOW! You've been doing this for years! However, it's how you start the year in Algebra 1 and they are NOT nice about the numbers they use. Expect a lot of fractions and decimals. So, watch the video and try some problems to keep up those skills. If you want more practice with operations with fractions and decimals, I recommend using Khan Academy or Math IXL for skills practice.
VIDEO--Order of Operations and a Review of Fraction and Decimal operations
Week 2--Solving Equations
Week 2--Solving Equations
This week will be a bit longer, as this is a BIG skill and has many components. As you know, you work through one-step, two-step, multi-step, variables on both sides, problems with the distributive property, etc. Again, expect to see WAY MORE rational numbers (this is the mathematical word for fractions and decimals). The video will review each type of equation and the steps to solve, and how to get ride of fractions and decimals. While you MAY have teachers who allow calculators, this is a good time to remember how to do computation withOUT a calculator, just in case.
VIDEO (This video is 45 minutes long. only watch if you do not know how to solve, or fast forward to specific areas where you need help.)
Week 3--Linear Equations (Writing, graphing)
Week 3--Linear Equations (Writing, graphing)
This week we go back to the basics of y=mx+b, your favorite!! We are simply going to practice writing equations from a graph and graphing equations. This should be a FEEL GOOD week, as you are great at this.
If you want a bit more of a challenge, we did NOT study STANDARD FORM very much. Here's a video and worksheet if you want to learn more about STANDARD FORM in preparation for high school. (It's still a graph of a line, but just a tad more challenging.)
Week 4--Systems of Equations (Graphing)
Week 4--Systems of Equations (Graphing)
Yay! Another week you should be great at! If you did well graphing lines last week, this week is a breeze. The KEY is to remember it's not enough to GRAPH the lines, but to understand what it MEANS to solve a system. :)
IXL Systems Practice (Limited to a few problems a day without payment)
Week 5--Writing linear equations given a point/slope
Week 5--Writing linear equations given a point/slope
So, many times in life, we don't have the linear equation. We may not know where we started, or we start tracking later in time. Imagine scientists tracking the ice receding in the Arctic. They don't really know how much was there 1000 years ago, but they know what there was 100 years ago and what the rate of change is now. So in this section, you are going to learn how to write a y=mx+b equation given a specific point and slope.
Week 6--Writing linear equations given two points
Week 6--Writing linear equations given two points
Once again, sometimes we only know two points in time, not that the rate is constant. So rather than having a slope and a single point, we just have two points. WELL, two points make a line! So we can write the equation for it. This builds on what you learned last week, so make sure you feel strong there before you move on.
Week 7--Solving Systems of Equations by Substitution
Week 7--Solving Systems of Equations by Substitution
This week will be a bit longer, as this is a BIG skill and has many components. Feel free to break up your study/review as you'd like. If you don't need the videos, that will save you a lot of time, as the videos can be long.
During Remote Learning you probably learned about "Equal Values Method" which is a more basic version of substitution. We will continue to use that, but will add in more advanced substitution techniques.
VIDEO 1 (Equal Values Method) Worksheet #1-12
Week 8--Solving Systems of Equations by Linear Combinations/ELIMINATION
Week 8--Solving Systems of Equations by Linear Combinations/ELIMINATION
Linear Combinations is my FAVORITE way to solve systems. It's also called ELIMINATION. In this week you'll learn when to use it, how to do it, and how to choose the best method for solving a system. REMEMBER, it's not enough to know HOW to do it, but you need to understand WHY you do it and WHAT you are finding.
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