# Step 3 Pre-Algebra

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How to Use:

- PLEASE carefully read and follow your directions each day.
- Sometimes you may be smarter than the computer. If you get an answer marked wrong, but you are sure you are right, you can write to us to check. Then we can make a note of it for other students taking the course after you.
- This is a combination of Master Math, Mathematics Essentials and GA Virtual Learning (with other extras thrown in). On the GA site you will click on the tab for the page numbers I list. On Master Math you will watch the video and take the quiz.
- If I tell you to take the quiz, but you don’t see it on the page, click on the words “Quiz Group” on the page and it should appear.
- You will follow my instructions. You may read somewhere about a test or sending your work to your teacher. Those things aren’t talking to you. Just follow the directions on this site.
- Sometimes there are groups of days listed together. You will need to be responsible and gauge your time and work through the material, making sure you complete all of the required activities and lessons by the last day. You are basically going to be doing a lesson a day. I use this method so that if you need more time on a lesson you can take it. Sometimes I will direct you to do a worksheet if you had trouble with a topic. Sometimes I just ask you to complete the activities. If you can’t, then you need to go and read/watch the lesson first. I put in extra days to help those of you who need the extra time for the lessons. If you don’t need the extra time, I put in games and activities for you to complete on those “extra” days.

**Course Description**: Students will use texts, videos and online interactives to explore the world of algebra. Students will engage in problem solving, graphing, quizzes and projects. Students will apply transformations to two-dimensional and three-dimensional figures and observe geometric properties. They will use algebraic expressions, equations, or inequalities in one variable to represent and evaluate a given situation. They will apply basic concepts of set theory and also determine subsets, complements, intersection, and union of sets. Students will utilize equations, tables and graphs to analyze and interpret linear functions and make inferences from statistical data.

**Day 1**

- Review order of operations. Answer the questions.
- Play the game.

**Day 2**

- Review decimal place value.
- Scroll down and try the exercise until you think you got it.
- Play the scooter game.
- Play the football game.

**Day 3**

- Do you remember decimal place value? Make a pass and then answer the question.
- Choose an adding decimals game. (If you can’t remember how to do this, you can use this lesson instead of the games.)
- Go to the same page and click on a subtracting decimals game.

**Day 4**

- Multiply the decimals. Follow the directions to play. If you can’t remember how to do this, you can use this lesson instead.
- Divide the decimals. If you can’t remember how to do this, here’s a lesson you can use instead.

**Day 5**

- Figure out the decimal. Type in the number you guess and then click on the red dot. Adjust your guess based on the feedback.
- Read about the metric units. You can stop when it says, “Making Other Units.” You do NOT have to do the questions.
- Choose a few challenges and try to solve them. Don’t give up! Try to come up with a solution before you check.

**Day 6**

- Read about prime factorization.
- Make a factor tree. Click on the one number game. Type in the numbers that when multiplied together make the number at the top. Then click on check. It will help you build a factor tree until you have gotten down to just prime numbers.
- This is slightly trickier. If you need to, watch the video to get started on the game. You are going to click on the + at the top and make a tree like you just did. You will take it one step further and write out the prime factorization. An example: If it’s 2 x 2 x 2 x 5, you would type 2 and then 3 in the exponents box. Then you would click on the + to enter another number and enter 5. You could leave that exponent box blank because there is only one 5.

**Day 7**

- This time choose the 2 number game. After you complete the first number, you will click on next and do the second. Follow the directions at the top of the screen to find the least common multiple and the greatest common factor.
- Do a few of these before playing the game.
- Have a snow ball fight. (If you’d rather do a lesson on LCM…)

**Day 8**

- Play level 2a and add fractions with like denominators. (lesson)
- Then try level 1b with simplifying.
- Review subtracting fractions.

**Day 9**

**D****ay 10**

- Review multiplying fractions. You don’t have to do the practice problems. You’ll practice with the game below.
- Review dividing fractions.
- Play the millionaire game.

**Day 11**

- Order the negative numbers.
- Use the number line to add and subtract with negative numbers. Try hard and really hard.

**Day 12**

- Play Bingo. Add or subtract to win.

**Day 13**

- Review multiplying integers. Answer the questions at the bottom of the page.

**Day 14**

**Day 15**

- Watch the video on the coordinate plane.
- Find the house location.
- Hit the target. (You need to first hit somewhere else on the coordinate plane in order to hit the target. Avoid the mines!)

**Day 16**

- Make sure you click on next and go through the different parts of the lesson.
- ratios (The “check your answer” isn’t working right now. If it’s still not working when you try it in Step 4, then do ten problems on this page. Scroll down.)
- proportions (The “check your answer” isn’t working right now. If it’s still not working when you try it in Step 4, then do six problems on this page. Scroll down.)

**Day 17**

- Practice cross multiplying to solve a problem. Read and answer the questions. Skip the ones labeled hard.

**D****ay 18**

- Explore with percent.
- Use the correct percentage.
- Find percentages. Read and do the exercise.

**Day 19**

- To find the percent you divide the fraction and multiply by 100. To find the fraction put the percent over 100 and simplify.
- Review the relationship between fractions, decimals and percents. Just read.
- Read and answer the questions about percentages.

**Day ****20**

- Read about percent of change.
- Try the exercises. Be sure to read the instructions and round your answer to the nearest tenth of a percent.
- Play with percent.

**Day 21**

- Read the definitions.
- Complete the crossword puzzle. (from GVL) There are no spaces between words.

**Day 22**

- Remind yourself what a square root is. We’ll look at this lesson again on Day 23.
- Practice.
- Play.

**Day 23**

- Peruse this lesson on square roots. It starts with squares, the opposite of square roots. Today you will be using the methods from this page for solving square roots.
- Answer the questions. You can use the calculator except when it says to estimate or use a certain method. When it says between which two whole numbers is the answer, that’s an estimation. No calculator.

**Day 24**

- Watch the presentation on operations using radicals on page 8. (from GVL)
- Read through the examples of adding and subtracting with radical numbers. Then do the first set of example problems of adding and subtracting radical numbers.
- Check your answers. STOP there.
- Work through, meaning write out, the three examples of multiplying and dividing radicals in the presentation (#1 above).

**Day 25**

- Learn about rational and irrational numbers.
- Try to answer the first five rational or irrational questions.
- Scroll down and answer problems 1-4.

**Days 26 – 30**

- Approximating and Finding Square Roots If you get more than one wrong on the quiz, complete the worksheet for more practice. On these pages you’ll use the video as your lesson.
- Using the Pythagorean Theorem If you get more than one wrong on the quiz, complete the worksheet for more practice. Use the video as your lesson and then take the quiz.
- Simplifying Square Roots If you get more than one wrong on the quiz, complete the worksheet for more practice. On any page like this, use the video as your lesson.
- Square Roots, Cube Roots, and nth Roots Read and just answer the questions on the Cube Roots page.
- Have an extra day? Create and solve nth root problems. Can you think of a situation where you would use that? Play prodigy. (It will probably only let you play so far before asking you to make an account. It’s free to do so.)
- That link doesn’t let you use it outside the US. Here are some other activities: square roots, cube roots

**Day 31**

- Numbers Do pages 12 and 13. Read, watch the videos and answer the questions about exponents.

**Day 32(*)**

- Watch the presentation on page 2 on exponents. If it does not come up, use the notes or the Khan Academy video.
- Complete the review activity at the bottom of the page.
- (*) Open the homework assignment found in the sidebar and complete the problems.
- Use the key to check your answers when you are done. (odd answers: 4/9 , 125 , 8^-24 , 3^16 , 7^7 )

**Day 33**

**Day 34**

- Numbers Do page 20. (Review) CORRECTIONS! The answer d. 18√3 should read 12√3. (John’s question has the incorrect answer marked as correct.)

**Day 35**

- Take the King Kong quiz. Try these word problems. You only get 10 minutes on this site so stay focused.

**Day 36-40**

- What is an exponent? Read and answer the questions.
- Exponents If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Negative exponents Read and answer the questions.
- Multiplying and Dividing with Exponents If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Take a screen shot for your portfolio.

- Have an extra day? Who Wants to Win a Million? Exponents with Kiwi

**Day 41**

- Finish the board by adding, subtracting, multiplying and dividing integers.
- Follow the directions to round the numbers.

**Day 42**

- Surds Read and answer the questions. You can use a calculator for this!

**Day 43**

- Simplifying Square Roots Read the page then copy the harder example problem from the bottom of the page. Create and solve another.

**Day 44**

- Reciprocal in Algebra Read and answer the questions.

**Day 45**

- Fractional Exponents Read and answer the questions 1-8.

**Day 46 (If you have access to a ruler and protractor, they would come in handy for this section.)**

- Read through this introduction to points, rays, and lines. Read just to Questions and Answers.
- Now work your way through these activities:
- using a protractor
- measure with a protractor

- Take the quiz.

**Day 47**

- There are four categories along the top of the page. Click on the first topic in the third column, Shape and Space. The topic is Angles Construct & Measure.
- (This assignment is from Mathematics Essentials.)
- Complete all of the topics.

**Day 48**

- Play this angles game.
- Try this angles activity.

**Day 49**

- Go through steps 1-4 of classifying angles. The fourth step has pop-ups to tell you if your answer is correct.
- Work through these examples.
- Read and play with complementary angles. Answer questions 3 and 4 at the bottom of the page.
- Read and play with supplementary angles. Answer questions 1 and 2 at the bottom of the page.

- Name the types of angles.
- Find the missing angle.

**Day 50**

- Take the quiz on angle relationships, supplementary and complementary angles.
- Click on Angles-Reasoning, the second topic under Shape and Space.
- Complete the topics. Click to move onto the next topic.

**Day 51**

- Read through the page on classifying triangles until you “Play with It.”
- Use these activities.
- Watch the video on classifying triangles by angle.
- Make sure you Play with It.
- Here’s a worked example if you want it.

- Identify the triangles.
- Find the missing angle. Do at least the first four.

**Day 52**

- Read through the page on classifying quadrilaterals.
- Go through these examples.
- classifying quadrilaterals by sides and angles examples

- Quadrilateral quest

**Day 53**

- Take the quiz. (on the right)
- Categorize the shapes.
- Do the activity on angles in triangles and quadrilaterals.

**Day 54**

- Read the page on classifying polygons.
- Examples:
- Go through this and try the examples.

- Polygon game

**Day 55**

- Click and drag the corners of the polygons and watch the angles change. What does the sum of the angles do?
- Types of polygons
- Play this polygon game until you win.

**Day 56**

- Watch the videos on complementary and supplementary angles.
- Practice with the types of angles.

**Day 57**

- Read the info on page 4 about the Pythagorean Theorem. Do not do the exercises.
- Play the game.

**Day 58**

- Learn about measuring by shadow. Try it out.

**Day 59**

- Click on congruent and similar shapes.
- Read about congruent and similar figures.
- Which triangles are similar?

**Day 60**

- Watch this video on transformations.
- Try the different types of transformations. Drive to the transformations room. Click on a type transformation and successfully complete two. Then click on the main menu and try another. When you have done them all, you can click on the game coin. There are two problems to solve in the game mode. Can you do it?

**Day 61**

- Identifying Angles and Sides of Triangles If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 62**

- Angles of Polygons If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 63**

- Parallel Lines, Transversals and Similar Triangles If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 64**

- Play with the quadrilateral interactive and area calculator.

**Day 65**

- Read the overview of graphing data.
- At the end of the page click on Data Graphs.
- Create each type of graph using the tool on the page. You can start by clicking on table and filling in values. It can be made up, but make it sort of real. Don’t type in “asfaewgvabe.” Type in “Favorite Foods,” or whatever. When it’s complete, click on each type of graph. Which most effectively shows your information?

**Day 66**

- Box-and-Whisker Plots If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 67**

- Scatter Plots If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 68**

- Choosing a Data Display If you get more than one wrong on the quiz, complete the worksheet for more practice.

**Day 69**

- Do these box and whisker plot problems. Skip problem 5. Solutions

**Day 70**

- Review scatter plots and do the problems.

**Day 71**

- Data Analysis Do pages 1, 2 and 3. (Data Analysis and Probability, Introduction and Key Terms)
- Complete the crossword puzzle. (source)

**Day 72**

- Data Analysis Do pages 4 and 5. (Set Notation and Venn Diagrams)
- Watch the video on set notation and the one on Venn diagrams. If you prefer reading, here are the same topics as the videos (one, two, three)
- Take the quiz on page 5.
- The links in number 2 are from pages 4 and 5. Sometimes they don’t show up right on a page, so these are alternative links to the same things.

**Day 73**

- Read about the counting principle and try the examples.

**Day 74**

- Read about factorials. (You don’t have to read the “Advanced Topics” unless you want to.)
- Answer questions 1-3 at the bottom of the page.

**Day 75**

- Take your time and read about combinations and permutations. Don’t get bogged down in the algebra looking stuff (where it’s all letters and not numbers), if that’s just confusing you, you can move onto the examples.
- Explain the difference between combination and permutation.
- Try questions 1 and 2 at the bottom of the page.

**Day 76**

- Read about subsets and create and fill in the charts in your notebook.

**Day 77**

- Go through the lesson on finding the odds.
- Go through the example and try the practice problem.

**Day 78**

- Find the probability.
- “Suppose you choose a marble from a bag holding 10 green, 5 blue and 3 red marbles. Use probability to express how likely it is that you choose a red marble.” (from Data Analysis page 17)
- Check your answers when you are done. Answer Key

**Day 79**

- Read about scatter plots through the line of best fit.
- Practice questions 1 and 2.
- You might want to take a screen shot for your portfolio.

**Day 80**

- Play with the line of best fit.
- Play with probability. Play with probability.

**Day 81**

- Run a probability experiment.
- Do you understand the graphs?
- Take legos or coins and match them up to the numbers of different colored marbles. Draw ten out of a bag and compare your experiment with the outcome of ten trials with the marble experiment.
- How did they compare? If you did more trials, how do you think that would affect the comparison between the theoretical and empirical data?

**Day 82**

- Expressions Do pages 1, 2 and 3. (Algebra: Expressions, Inequalities and Functions, Introduction and Key Terms)
- Here’s a link to the crossword puzzle. (source)

**Day 83**

- Expressions Do pages 4 through 6. (Expressions, Solving Algebraic Equations with one variable, Absolute Value Equations)
- Solve some one variable equations.
- Solve some absolute value equations.

**Day 84**

- Watch the video on solving for a variable. On the left there are two other videos after this short one that you could use for more explanation if needed. There is a part 2 and an example.
- Practice.

**Day 85***

- *Worksheet
- Check your answers. (link on the page)

**Day 86**

- Watch the video about solving inequalities with addition and this one about solving with multiplication and division.
- Practice solving inequalities with addition and subtraction and with multiplication and division.

**Day 87**

- Expressions – Learn about function notation.
- Evaluate some functions.
- Try the vertical line test.

**Day 88**

- Expressions Do page 16. Watch the video. (Generating Functions)
- Explain what relations and functions are.

- Practice.

**Day 89**

- Expressions Do pages 18 and 19. Use the videos. (Arithmetic Sequence as a Linear Function)
- Practice. For number three, the fraction one, the common difference is negative a third.

**Day 90* **

- *Complete one function table. Plug in the available values and compute the missing value.
- *Print graph paper and draw a graph of f(x)=|x| and of f(x)=x^2. To graph the function you would plot the x and y values and connect the dots. 🙂 The y value is the f(x).
- Check your graph by entering abs(x) and x^2 on the top line.

**Day 91**

- If you are doing this course for a grade, find your lowest quiz grades. You have eight days to look at those lessons again and retake the quizzes.
- If you aren’t redoing quizzes, or if you don’t need to, yeah!, then try these challenges. Today watch the Setup and choose which challenge introduction you want to watch. There are two pages and six categories.
- Watch the setup, introduction and choose one challenge. (There’s an explanation if you can’t figure it out. These are
*challenges*, that means hard.)

**Day 92-98**

- Do one challenge a day. There is more than one challenge per topic. Watch the introduction before you take on a challenge in a new area. Even if you can’t figure it out, figure out what you need to figure out. What do you need to know in order to solve the problem? What do you need to find that? Think before you watch the given explanations of how to go about solving the problems.

**Day 99**

- *Print this worksheet.
- Check your answers.

**Day 100**

- Read this page about solving equations with multiplication and division. Then do the questions.

**Day 101**

- Solve the simple equations. Use the hints if needed.

**Day 102**

- Can you write algebraic expressions?
- Can you write equations?

**Day 103-110***

There are seven lessons to complete in eight days.

- Solving Simple Equations If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Solving Equations with Variables on Both Sides If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Do the lab and activity on solving 2-step equations, lab, game.
- Play the game. *Complete the worksheet on solving inequalities.
- Associative, Commutative and Distributive Laws Read the page and answer the questions.
- Do at least ten cross multiplication problems correctly. (If you want a review lesson, here’s one Cross Multiply.)
- Read about Proportions and then Directly Proportional and Inversely Proportional. Play Dirt Bike Proportions.
- Extra Day? Choose an activity.

**Day 111**

- Linear Equations Do pages 1, 2 and 3.
- Complete the crossword puzzle. (source)

**Day 112**

- Linear Equations Read page 4. Watch the presentation on the page.
- y (the “rise,” going up) over x (the “run,” going across) — “Rise over run, we’re gonna have fun.” That’s the rhyme to remember how to form slope. 🙂
- Practice slope.

**Day 113**

- Linear Equations Read page 6. Watch the presentation on the page.
- Practice with slope-intercept equations. You can do numbers 1 – 6.

**Day 114**

- Linear Equations Read page 8. Watch the presentation on the page
- Review the graphs and then try the couple of practice problems at the bottom of the page.
- Answer the questions at the bottom of page 8.

**Day 115**

- Explore the Straight Line Graph Read and answer the questions.

**Day 116***

- *Print out graph paper.
- Watch the top video on page 11 about solving a system of equations graphically.
- Practice solving a system of equations graphically. Go back to the video and write down two equations and then try to solve it on your own.

**Day 117**

- Learn about solving equations graphically.
- Go through this lesson and try the example.

**Day 118**

- Go through this lesson on graphing systems of equations. Go through the different videos on the left down to the the practice and then do the practice.

**Day 119**

- Graph linear inequalities.

**Day 120**

- If you don’t like math and it stresses you out, read a few chapters about that.
- If you and math are okay together, read the chapter on studying for a math test.

**Days 121-125**

- Rewriting Equations and Formulas If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Converting Units of Measure If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Graphing Linear Equations with Tables If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Finding the Slope of a Line If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Extra day? Here’s an algebraic reasoning game.
- Use a worksheet or a screen shot for your portfolio.

**Days 126-130**

- Graphing Linear Equations in Slope-Intercept Form If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Solving Systems of Equations If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Writing Equations in Slope-Intercept Form If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Writing Equations Using a Point and a Slope If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Extra day? Overruled!

**Days 131-135**

- Writing Systems of Linear Equations If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Domain and Range of a Function If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Discrete and Continuous Domains If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Comparing Linear and Nonlinear Functions If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Extra day? Atlantean Dodgeball

**Days 136-140**

- Scientific Notation If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Test Taking Tips
- Financial Literacy: Simple and Compound Interest If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Financial Literacy: Formula for Compound Interest If you get more than one wrong on the quiz, complete the worksheet for more practice.
- Extra day? Take the scientific notation quiz. (Just for fun.)

**Days 141-145**

- Financial Literacy: Installment Loans
- Financial Literacy: Checking Accounts
- Financial Literacy: Credit Cards
- Financial Literacy: Payroll Deductions
- Extra day? Number Rights

**Day 146**

- Review Do page 2.
- Take the quiz.
- Use the links on the side to review any topic you got wrong. (factors and fractions)

**Day 147**

- Review Do page 3.
- Take the quiz. Do all of the problems except for the ones missing pictures.

- Take this surface area and volume quiz.

**Day 148***

- Review Do page 4*.
- Answer the questions that you can, that aren’t missing pictures.

- Take this symmetry quiz.
- *You can choose any of these nets to print and make.

**Day 149**

- Review Do page 5.
- Answer the questions that you can, that aren’t missing pictures.
- Review these examples of direct and indirect variation.

**Day 150**

- Pick three probability games to play:

**Day 151**

- Review Continued Do page 2.
- Take the quiz. Don’t forget to use the links on the side bar if you are stuck.

**Day 152**

- Review Continued
- Try the different types of transformations. Drive to the transformations room. Click on a type transformation and successfully complete two. Then click on the main menu and try another. When you have done them all, you can click on the game coin. There are two problems to solve in the game mode. Can you do it?
- Take this quiz on similar and congruent shapes.

**Day 153**

- Review Continued
- Take the quiz on evaluating expressions.

- Take the quiz on scatter plots.

**Day 154***

- *Choose a worksheet from topic 2. You can check your answers when you are done.

**Day 155***

- *Choose a worksheet from topic 3. You can check your answers when you are done.

**Day 156***

- *Choose a worksheet from topic 4. You can check your answers when you are done.

**Day 157***

- *Choose a worksheet from topic 5. You can check your answers when you are done.

**Day 158***

- *Choose a worksheet from topic 6. You can check your answers when you are done.

**Day 159***

- *Choose a worksheet from topic 7. You can check your answers when you are done.

**Day 160***

- *Choose a worksheet from topic 8. You can check your answers when you are done.

**Day 161***

- *Choose a worksheet from topic 9. You can check your answers when you are done.

**Day 162***

- *Choose a worksheet from topic 10. You can check your answers when you are done.

**Day 163***

- *Choose a worksheet from topic 11. You can check your answers when you are done.

**Day 164***

- *Choose another worksheet from topic 11. You can check your answers when you are done.

**Day 165***

- *Choose a worksheet from topic 12. You can check your answers when you are done.

**Day 166***

- *Choose a worksheet from topic 13. You can check your answers when you are done.

**Day 167***

- *Choose a worksheet from topic 14. You can check your answers when you are done.

**Day 168***

- *Choose a worksheet from topic 15. You can check your answers when you are done.

**Day 169***

- *Choose a worksheet from topic 15. You can check your answers when you are done.

**Day 170***

- *Choose a worksheet from topic 16. You can check your answers when you are done.

**Day 171***

- *Choose a worksheet from topic 17. You can check your answers when you are done.

**Day 172***

- *Choose another worksheet from topic 17. You can check your answers when you are done.

**Day 173***

- *Choose a worksheet from topic 18. You can check your answers when you are done.

**Day 174***

- *Choose another worksheet from topic 18. You can check your answers when you are done.

**Day 175***

- *Choose a worksheet from topic 19. You can check your answers when you are done.

**Day 176***

- Read the directions for this inequalities project (ABCs123). You just have to fill in the chart. You don’t have to turn it into a project. You can use the grading rubric to give yourself a grade when you are finished. Instead of creativity, you can get points for finishing on time. It is due tomorrow.
- You will have today and tomorrow to create your project.

**Day 177**

- Finish your inequalities chart from Day 176.

**Day 178***

- The next three days you are going to complete this road trip project.
- *Print out the map. (If you are grading this course, there is a rubric included.)
- *Print out the part 1 activities and complete them.

**Day 179***

- You can read her comments on the rest of the project. Notice “flat rate.”
- *Print out part 2 activities and complete them!

**Day 180***

- *Print out part 3 of the road trip activities and complete them!
- Add your projects to your portfolio.

Congratulations!