8th Grade Algebra
2) Read “Corollary 6.5.1” on p.553 of your textbook. Remember this rule works in both directions.
3) Complete the "Dividing Radical Expressions Practice" worksheet.
4) Complete p.559 #8 and p.555 #10 in your textbook.
6) All of the above is homework.
7) If you finish everything, read the bottom of p.556 in your textbook starting with “The second convention is…” This will preview what we talk about tomorrow. After you read this, try FYTD p.557 #5-8. (This is not homework.)
8) If you finish the previous step, try the challenge worksheet. Remember what you just read on the bottom of p.556. (This is not homework.)
1) Use THIS link to check your homework.
2) THIS is a link to a series of videos and practice problems on Khan Academy. On the left side of the page, you'll notice the videos and practice problems:
- First, watch the first two videos (Intro to rational and irrational numbers and Classifying numbers: rational and irrational).
- Next, complete the next activity in the series entitled Practice: classify numbers: rational and irrational.
- Then, watch the next video in the series entitled Classifying numbers.
- Finally, complete the next topic entitled Practice: classify numbers.
3) In your textbook, complete p.566 #1 and 2 (you may want to use the diagram Sal draws in the Classifying numbers video (keep in mind, all the numbers he is discussing are Real numbers).
4) Then, complete p.567 #16-17.
5) When finished with those four textbook problems, complete the classifying numbers worksheet.
**Everything above this needs to be completed for homework. I will be checking all homework on Friday.**
7) If finished with everything above, work on the challenge worksheet.
8) If finished with the challenge worksheet, you may use the rest of the period to quietly work on other homework or explore the scale of the universe website.
1) Use THIS link to check your homework.
2) Complete p.556 For You to Do #1-4
3) Complete p.554 #2 (Hint: Simplify the expression on the left side of the equation fully to help you find the value of k.)
4) Complete p.554 #5 and 6 (For #6, see instructions above from problem #2)
5) Complete the worksheet (both sides).
6) If finished, complete the challenge worksheet.
7) The homework is to complete everything stated above except the challenge worksheet.
8) If you finish all of the above, use the rest of the period to work on other homework or explore the scale of the universe website.
Last week, we extended our knowledge of exponents to work with numbers written in scientific notation. We then reviewed and took a quiz on exponents and scientific notation. We then began to look into working with expressions involving square roots. This week, we will continue to practice simplifying radical expressions along with performing operations with radical expressions. We will also look into what makes a number rational or irrational.
*Operations with Radical Expressions
HW: Worksheet #1-23 odds (skip 5 and 7)
*Operations with Radical Expressions Continued
HW: See "Instructions for 3/10/20 Class Work" at the top of this page for the homework
*Rational and Irrational Numbers
HW: See "Instructions for Wednesday, 3/11 Class Work" at the top of this page for the homework
*Operations with Radical Expressions Continued
HW: See "Instructions for Thursday, 3/12 Class Work" at the top of this page for the homework
*6.05 Scientific Notation Continued
HW: 1) Worksheet #1-16
2) Quiz Thursday
HW: 1) Worksheet (skip #19)
2) Quiz Thursday
HW: Use study materials (KEYS at the top of this page) to prepare for the quiz tomorrow
*Simplifying Radical Expressions
HW: Worksheet #1-12
Last week, we explored different patterns of exponents and used them to simplify expressions involving exponents. We also explored the idea of zero and negative exponents. We then transitioned to using our knowledge of exponents to look into how to write and work with numbers written in scientific notation. This week, we will continue to work with numbers in scientific notation before we review and take a quiz. We will then begin to explore radical expressions and how to simplify and perform operations with radical expressions. We will also discuss the difference between rational and irrational numbers.
Last week, we practiced modeling with functions, reviewed, and took our unit 5 test. We then began to explore different patterns when simplifying expressions with exponents. This week, we will continue to look for patterns involving exponents and use them so simplify expressions. We will also review scientific notation and explore performing operations with numbers written in scientific notation. We will then look to take a quiz on these topics.
Last week, we continued to explore functions by determining what makes a relation a function, working with function notation, looking into domain and range, graphing functions, and analyzing first differences of functions. This week, we will practice modeling with functions, and review and take our unit 5 test on functions. We will then begin our next unit which will focus on working with exponents, scientific notation, and radical expressions.
Last week, we applied our knowledge of linear functions to scatter plots to create lines of fit. We then reviewed and took our unit 4 test on Thursday. On Friday, we looked into the meaning of functions and what makes a relation a function. This week, we will continue to work with functions by exploring function notation, investigating the domain of functions, working with functions as graphs, and modeling with functions. We will then look to take a small unit 5 test.
Last week, we reviewed systems of linear equations and took a quiz over those topics on Wednesday. We then reviewed linear inequalities and explored compound inequalities. This week, we will look into using graphing to solve nonlinear inequalities. We will also apply what we know about linear functions to statistics when we explore lines of fit. We will then take our unit 4 test.
Last week, we explored solving systems of equations by the substitution, graphing, and elimination (linear combinations) methods. We also applied systems of equations to solve real-world problems This week, we will look into how to determine which method is the best to use to solve a given system, and then review and take a quiz over those topics. Next, we'll continue to explore other applications of linear functions including working with inequalities and lines of fit.
Last week, we continued working with linear functions in different forms. We practiced finding information such as slope and both of the intercepts and graphed those linear functions in various forms. We then applied linear functions to real-world situations. We finished the week taking a quiz over those topics. This week, we will extend our knowledge of linear functions to explore linear systems of equations. We will practice how to solve systems using different methods including substitution, graphing, and linear combinations (elimination). We will then look to take a quiz over those topics.
Last week, we extended our knowledge of slope to consider equations of linear functions. We explored different forms of linear functions including point-slope, slope-intercept, and standard form. We practiced converting between the forms and finding information regardless of the form of the linear equation. We also practiced graphing linear functions written in different forms. This week, we will continue to practice these skills as well as use linear functions to model different scenarios. We will then look to take a quiz over these topics. After our quiz, we will begin to explore systems of equations.
I hope everyone had a wonderful break! In the week leading up to winter break, we used our knowledge of graphing functions to create math artwork. We used an online graphing tool called Desmos. The students did a fantastic job! This week, we will continue with our unit on linear functions. We will transition from slope to equations of lines. We will work with and graph linear functions in multiple forms.
Directions for turning in your Desmos Art Project:
1) Click "SAVE"
2) Title in Desmos: "Jimmy T's Spectacular Snowman 8B1" (Block 1: 8B1, Block 2: 7B2, Block 3: 8B3)
3) Click the share button in the top right corner of Desmos.
4) Click "Copy" to copy the link.
5) Compose an email to me and paste the link in the body of the email. The subject of the email should be the same as your Desmos title (step 2).
Last week was a busy week for us. We explored the concept of collinear points and then reviewed for and took a quiz. On Thursday, we reviewed, and then we took our semester 1 final exam on Friday. This week, we will use what we have learned so far this year to complete some challenges using an online graphing tool called Desmos. We will then use mathematics to create artwork for a project to finish out the week. I hope everyone has a great holiday season!
Last week, we reviewed slope and rate of change. This week, we will explore collinearity before reviewing and taking a quiz over these topics. On Thursday, we will review for our final exam and we will take our first semester final exam this Friday, 12/13. Students have a study guide and instructions on how they can be preparing for the final exam.
I hope everyone had a fantastic Thanksgiving! In the shortened week before break, we reviewed and took our unit 3 end-of-chapter test. This week, we will begin a short section reviewing slope and rate of change. Students should also be preparing for their semester 1 final exam. The date is still being finalized, but it is likely the final will either be the end of the week of 12/9 or the beginning of the week of 12/16. We discussed in class ways students can begin to study.
Last week, we explored direct and inverse variation, were introduced to a handful of new types of function families, and learned how to translate those different functions. We took a quiz over those topics on Friday. This week, we will review and then take our unit 3 end-of-chapter test on Tuesday. I hope everyone has a fantastic break!
Last week, we explored the relationship between equations, solutions, points, and lines. We also looked into what happens when multiple lines are graphed and there are intersections. We took a quiz over these topics on Friday. This week, we will begin to explore the difference between direct and inverse variation as well as other nonlinear function families such as quadratic, cubic, linear absolute value, and square root functions. We will then look to take a quiz over these topics.
Last week, we reviewed plotting data using scatter plots and analyzed positive and negative association. We also explored the very important difference between correlation and causation. We then took our second quiz of the unit and our unit 3 mid-chapter test on Friday. This week, we will begin the our next unit, which will cover the second half of chapter 3. We will begin by exploring the relationship between equations, points, lines, and solutions. We will then review graphing by plotting points and look to take a quiz over these topics.
Last week, we explored different representations of statistical data and practiced creating and interpreting those representations. We worked with mean, median, and mode as measures of average, frequency tables, dot plots, histograms, stem-and-leaf plots, box-and-whisker plots, and two-way tables. This week, we will explore scatter plots and correlation, and discuss the important difference between causation and correlation. We will then look to take a quiz over these topics on Wednesday and take our unit test on Friday.
It was great to see everyone at parent-teacher conferences! Last week, we practiced graphing related quantities to represent different situations. We also looked at graphs to determine the mean of each part and piece together what was happening. We then reviewed and took our quiz on Thursday. This week, we will begin exploring statistics and graphical statistical representations. We will review mean, median, and mode, dot plots, histograms, and box-and-whisker plots. We will also look into categorical data and interpret two-way frequency tables. Finally, we will look to explore scatter plots before taking a quiz over these topics.
Last week, we began the first part of our third unit by exploring transformations and coordinate notation, solving absolute value equations, and deriving the distance formula through the Pythagorean Theorem. This week, we will continue practicing those topics as well as creating qualitative graphs to represent different situations. We will then look to take a quiz over those topics. I am looking forward to seeing everyone at parent/teacher conferences at the end of the week!
I hope everyone is enjoying the long weekend! Last week, we continued to use our knowledge of solving equations to write and solve equations to represent different situations. We also practiced rearranging equations with multiple variables. We then took our Unit 2 Test on Thursday. This week, we will begin by reviewing the two-dimensional coordinate plane before moving on to review transformations. This will preview transforming functions later in the chapter. We will also explore how to extend our knowledge of solving equations to solve absolute value equations and derive the distance formula.
Last week, we focused on using basic moves to solve different types of equations. We also explored instances where linear equations could have one solution, infinitely many solutions, or no solutions. We took a quiz over these topics on Friday. This week, we will extend our knowledge equations by writing equations to model different situations. We will then plan to take our Unit 2 Test.
Last week, we explored how to undo a list of steps. We noticed we have to reverse both the order of the steps and each operation. We used this to backtrack and solve equations by undoing the order of operations. This week, we will explore how to solve equations in a more traditional manner and look into the meaning of the solution to an equation. We will then look to take a quiz over these topics.
Last week, we focused on writing, simplifying, and evaluating expressions. We then took a quiz over these topics on Friday. This week, we will explore reversing operations and backtracking to find an initial value. We will then take a small quiz over these topics.
Please work on the following problems to help prepare you for your quiz:
p.103 FD #1
P.107 #6, 7a
p.108 #9ac, 10
p.113 #6, 7
Last week, we analyzed addition and multiplication algorithms to explain why they work and how we can use them most efficiently. We took our final quiz and then took our first unit test of the year. This week, we will begin exploring using algebraic expressions to model different situations. We will then look to take a quiz over these topics.
Last week, we explored representing addition and multiplication in different ways and practiced ways of working with fractions more easily. We took a quiz on these topics on Thursday. We then explored some different algorithms to perform addition and subtraction more efficiently. This week, we will continue to examine addition, subtraction, and multiplication algorithms to gain a better understanding of why they work and how we can use them. We are scheduled to take our last quiz of the unit on Wednesday and then take our first unit test on Friday.
Last week, we connected the patterns we noticed on the addition and multiplication tables to the basic properties of arithmetic. We then took a quiz over sections 1.01-1.05 on Tuesday. On Wednesday, we began exploring how to work more with rational numbers. We compared and converted between fractions, decimals, and percents. This week, we will continue to work with rational numbers and look at different representations and patterns of addition and multiplication. We will look to take a quiz over these topics on Thursday. Then, we will begin to explore and break down some algorithms of addition and multiplication to see why they work.
Last week, we use addition and multiplication tables to explore some important underlying patterns of each operation. We extended those patterns into negative integers, as well. This week, we will connect the patterns we noticed to the basic properties of arithmetic and then take a quiz over these topics on Tuesday. Then, we will explore patterns with decimals and fractions.
Hello! Welcome to the 8th Grade Algebra web page. I will post an update like this weekly to summarize what we have done and preview what lies ahead. You will also find a weekly calendar updated daily with homework assignments. We had a great first two days of math class. We began by exploring a challenging problem called the handshake problem. Students also shared their methods for calculating the number of cars in a traffic jam. This week, we will begin to explore patterns of operations such as addition, subtraction, and multiplication. Though these are topics they have seen before, we will explore them more deeply to look for underlying patterns and develop useful strategies. We will then take a quiz over these topics. I am looking forward to seeing everyone at open house this Thursday night!