# Step 2

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Course Description: Students will explore math in the following areas: numbers, geometry, measurement, algebra, and probability. Students will grow in their understanding of the relationship between numbers and the world. Topics include: irrational numbers, volume and surface area. Students will be learning to construct angles and segments using a straight edge and compass. They will study different transformations and practice finding similar figures. Students will learn the concept of variables and algebraic expressions. They will solve one- and two-step equations. Finally, they will explore probability and variation creating, analyzing and visualizing data sets.

Materials:

How to Use:

• PLEASE carefully read and follow your directions each day. We’re getting a lot of comments about things not working on sites, but they are things I don’t ask you to use.
• 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 and GA Virtual Learning (with some 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 it says “Quiz Group” or “Test Group” but you don’t see the quiz or test, click on those words and it should appear.
• I have counted that there are 161 assignments. You have 180 days. These extra days may be taken up with worksheets from the Master Math pages. You will see my direction to complete a worksheet if you get more than one wrong on your quiz. Basically you are doing one lesson a day. If you don’t have that extra work to do, I have included fun activities and games for you to do on the extra days.

Day 1

1. If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
2. Every day do a little review. You’ll go to this practice page and each day go to the next on the list unless you didn’t do well, then try the same one again. Try to do five. I want to keep these things fresh for you. You won’t use them all the time, but you will need them again! Log in to keep track of what you are on. If it’s remembering what you did before, use a new email address, or delete your account through Settings and resign up.
3. Are you familiar with the terms on page 2?
4. Read the math vocabulary on page 1 and look for new terms. (Push pause on the talking.) Scroll down to the key terms. Look them over and use it to complete the crossword puzzle.
5. Click on play for the Factors and Multiples. (Note: 57 is not a prime number. It has factors of 3 and 19.)

Day 2

1. Practice
2. Watch the videos for the lesson on prime factorization and for the exercise.
3. Play Fruit Shoot with numbers up to 99.
4. Practice with prime factorization.

Day 3

1. Practice
2. Scroll down on page 2 to between the videos and read about the GCF and LCM.
3. Tell someone what those acronyms stand for and what those terms mean.
4. Scroll down and click on play to watch the Walk Through Examples. (If you already know this, you can skip to the exercises. If you are getting them wrong, come back to the video.)
5. Here’s another lesson on GCF if you need it.
6. Practice GCF.
7. If you need more help, you can use the Khan Academy videos on the left side of those pages.

Day 4

1. Practice
2. Do you need another lesson on LCM before you practice it?
3. Practice LCM.
4. If you need more help, you can use the Khan Academy videos on the left side of those pages.

Day 5

1. Practice
2. Read the top of page 4 on adding and subtracting fractions. Watch the presentation on factors and multiples for help in finding common denominators.
3. If you need more help, here are lesson on it. Click on “Fractions – Add and Subtract (Home)” to get started. It’s first on the list.
4. Practice subtracting fractions.
5. Practice adding mixed fractions.
6. If you want more help, here are two videos.

Day 6

1. Practice
2. Go down to multiplying fractions on page 4.
3. Read about multiplying and dividing fractions and watch the video. Look through the examples.
4. If you want more teaching, choose Fractions – Multiply and Divide (Home) from the menu. (In the first column on the left)
5. Practice multiplying fractions.
6. Practice dividing fractions.
7. This website has more teaching if you need it, and here is an extra video.

Day 7

1. Practice
2. Do some word problems. Choose two of the following.
3. Adding and subtracting fractions. (Alternate)
4. Multiplying fractions by fractions. (Alternate)
5. Multiplying fractions by whole numbers. (Alternate)
6. Dividing fractions. (Alternate)

Day 8

1. Practice
2. Read the chart on page 14 about converting between fractions, decimals and percents and then do the match up activity.
3. Practice converting fractions to decimals. (You can use a calculator.)
4. Practice converting decimals to fractions.

Day 9

1. Practice
2. You can refer to the chart on page 14 for help with your conversions.
3. If you want more help, you can use this site.
4. Practice converting decimals to percents.
5. Practice converting percents to decimals.

Day 10(*)

1. Today you will investigate factors geometrically! For this project, you’ll be asked to complete the worksheet. The first two have been completed for you. You can use blocks or post-it notes as manipulatives for creating the factor visuals. Draw the number of squares listed. Draw them in each rectangular or square shape possible. The length of sides of those shapes are your factors. (For instance, for four squares you can line them up in a row and the sides would be 1 and 4, or you could stack them in a square and the side lengths would be 2 and 2. The factors would be 1, 2, and 4.)
2. Answer Key Check your answers when you are done.

Days 11-15

Master Math

Your goal is to complete this in one week. If you get more than one wrong on the quiz, do the worksheet.

Days 16-25

Master Math

Your goal is to complete this in two weeks. There are seven lesson. If you get more than one wrong on the quiz, do the worksheet.

Day 26

1. Practice
2. Read this list of terms about rational and irrational numbers.
3. Now complete the crossword puzzle. There are no spaces between words.
4. Learn about plotting numbers on a number line.
5. Practice with a number line.

Day 27

1. Practice
2. Learn about absolute value.
3. Play numberball OR practice at Khan Academy.
4. Look at the picture of number sets. What does this show? Examples: All whole numbers are integers, but not all integers are whole numbers. All integers are real numbers, but not all real numbers are integers. What else does it show?

Day 28

1. Practice
2. Learn about adding integers with different signs.
3. How do you subtract a negative number?
4. Practice.

Day 29

1. Practice
2. Learn about multiplying negative and positive numbers.
3. Learn about dividing negative and positive numbers. Dividing follows the same rules as multiplying in terms of negatives and positives.
4. Practice.

Day 30

1. Practice
2. Catch up/review day.
3. If you don’t need to catch up, try these two activities.
4. Rick’s Toy Store — Click on integers – add and subtract (puzzles) in the left-hand column. Click on topics in the top left corner and choose Rick’s Toy Store at the bottom of the list.
5. Wendy’s Toy Store Follow the directions in number 3, but choose multiply and divide.

Day 31

1. Practice
2. Read carefully through the long list of key words about shapes, area and volume. Take your time. Complete the crossword puzzle. If you need to, look up the word to understand it better.

Day 32

1. Practice
2. Do page 5 on unit conversions and measurement.
• Look at this metric guide.
• Then play the game in the side bar. (Only level 1 works.)
3. Go through page 7 as well on measuring fractions on a ruler.
• Then play the ruler game.
• If you need help reading the ruler, you can learn here.

Day 33

1. Practice
3. Answer four of the questions correctly before moving on. You may use a calculator.
5. Answer four questions correctly. You may use a calculator.

Day 34

1. Practice
2. Go through page 2 on finding area.
3. Do the quiz. Pay attention to whether it is area or perimeter. You’ll need to remember that perimeter is the measure around the shape, the length of each side added together. Check your answers when you are finished.

Day 35

1. Practice
2. Go through page 3 on area of triangles and other polygons.
3. Take the quiz. I have checked these answers.

Day 36

1. Practice
2. Go through page 4 on volume.
3. Take the quiz. I have checked these answers. There is a tricky thing in the answers. Can you spot it?

Day 37

1. Practice
2. Go through page 5 on surface area. Here’s a surface area guide. (We’re not looking at circles and cylinders yet.)
3. Take the quiz on the first link. Skip the matching. You can use a calculator. (The second one should have the answer measured in meters squared. For the question about Mark’s bedroom, add in if he painted the floor as well. The fourth one, with the diameter of 4, should have the answer 100.48 Don’t fall for the trick in that question!)

Day 38

1. Practice
2. Take a quiz on finding volume.
3. Take a quiz on surface area.

Day 39

1. Practice
2. Measurement: Do page 17. (Volume and Surface Area Assignment)
• Answer Key Check your answers when you are done.
• Keep this for your portfolio.

Day 40

1. Practice
2. Catch up/review day.
3. If you don’t need to catch up, then go to this site and find the Builder’s Inc. building. Solve problems.
4. You can do other buildings too if you want.

Day 41

1. Practice
2. Learn about triangles.
3. Play around with these triangles until you can identify each of the terms by the picture. Have someone quiz you on those triangle terms.

Day 42

1. Practice

Day 43

1. Practice
2. Learn about similar triangles and answer the questions.

Day 44

1. Practice
2. Perimeter and Area of Similar Figures If you get more than one wrong on the quiz, do the worksheet.

Day 45

1. Practice
2. Finding Unknown Measures in Similar Figures If you get more than one wrong on the quiz, do the worksheet.

Day 46

1. Practice
2. Scale Drawings If you get more than one wrong on the quiz, do the worksheet.

Day 47

1. Practice
3. Copy down each word (not the definition) and draw a picture for each one.

Day 48

1. Practice
2. Concept of Pi and Circumference of Circle If you get more than one wrong on the quiz, do the worksheet.

Day 49

1. Practice
2. Pi and Area of Circles If you get more than one wrong on the quiz, do the worksheet.

Day 50

1. Practice
2. Go through this page on circles.
3. Go through this on three-dimensional shapes.

Days 51 – 55

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Day 56

1. Practice
2. Perimeter and Area of Composite Figures If you get more than one wrong on the quiz, do the worksheet.

Day 57

1. Practice
2. Volume of Composite Solids If you get more than one wrong on the quiz, do the worksheet.

Day 58

1. Practice
3. Play with cross sections. Click and drag the sliders to change the placement of the cross section.

Day 59

1. Practice
2. Transformations If you get more than one wrong on the quiz, do the worksheet.

Day 60

1. Practice
2. Transformations Part 2 If you get more than one wrong on the quiz, do the worksheet.

Day 61*

1. Practice
2. Geometry
1. On page 11, read the top of page 11 and watch the 2 videos.
2. Do this activity.
3. Do page 12. (Transformations and Exploring with Transformations)
• *Print some graph paper. (It might be easier to do the transformations activity on 11 on the regular site.)

Day 62

1. Practice
3. Learn about symmetry. You don’t have to do the questions.
4. Play this lines of symmetry game.

Day 63

1. Practice
2. Read about rotational symmetry on page 6.
3. Take this quiz on symmetry. It asks what kind of line of symmetry does a shape have. A horizontal line of symmetry runs horizontally across the shape.
4. How many points of rotational symmetry do these shapes have? That means they look the same when rotated to a certain degree.

Day 64

1. Practice
2. Catch up and review day.
3. You can use these activities for review if you don’t need today to catch up.
• Take this symmetry quiz.
• Then take this quiz. Similar triangles have the same angles, otherwise they wouldn’t look the same.
• Use this geometry terms practice.

Day 65

1. Practice
2. Read the key terms. Write each one down and draw a picture for its definition. You don’t have to write the definition.

Day 66

1. Practice
2. Follow the directions to draw.
3. Check your drawing against this one . Did you get it?

Day 67

1. Practice
2. Learn about measuring angles with a protractor. Do all the activities on the page. Here’s a video if that helps you.
3. Practice measuring angles.

Day 68

1. Practice
2. If you need a protractor or ruler, you can print one.
3. Do the drawings described.

Day 69

1. Practice
2. Go through pages 4, 5 and 6 on drawing and bisecting segments.
3. Do pages 7 and 8 on copying and bisecting angles.
• Make sure you are following the directions and making the drawings. You don’t have to do the quizzes.
• You can use the links to the animations in the side bar. copying bisecting

Day 70

1. Practice
2. Review day – Catch up. Go back and practice something you didn’t do well on before.
3. If you don’t need to, here’s more on bisecting. Try some out.

Day 71

1. Practice
2. Geometry Do page 9. (Constructing a Perpendicular Line, Perpendicular Bisector and Parallel Lines)

Day 72

1. Practice
2. Time to Practice Constructions! Name the two tools used in a basic construction.
• (Answer: Straight Edge and Compass)
3. Use graph paper to draw perpendicular lines, bisectors, and parallel lines.

Day 73

1. Practice
2. Geometry Do pages 13 and 14. (Three-Dimensional Figures and Cross Sections and More Practice With Cross Sections)
• On 14 it might be easier to complete the cross sections activity on the regular site.

Day 74

1. Practice
2. Here’s a lesson to try on transformations. Do all the parts.

Day 75

1. Practice
2. Learn about scale drawings.
3. Here’s a video about how to do it.
4. Make a scale drawing of a house that has 1600 square feet of living space, and contains the following: kitchen, bathroom, living room, and 2 bedrooms. (from GVL)
5. If you are interested in doing things like this on the computer, try Sketchup.

Day 76

1. Practice
2. Look again at scale factor and at the bottom of the page find not only the scale factor but use it to find the missing lengths.
3. Then try these questions.

Day 77

1. Practice
2. Geometry Do pages 18 and 19. On 19 just do the first 5 problems. (Finding a Missing Perimeters and Areas in Similar Figures and Time to Practice Similar Figures)

Day 78

1. Practice
2. Today is catch up/review day.
3. If you don’t need to catch up, here are some activities for review.

Day 79

1. Practice
2. Geometry Do page 20. (Geometry Discussion)

Day 80

1. Practice
2. Geometry Do page 21. (Geometry Assignment – Club Logo)
3. Keep this for your portfolio.

Days 81-85

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Day 86

1. Practice
2. Read through the key terms and do the crossword puzzle on page 1.
3. Go to page 2 and read the top of the page about rate and proportion. Do the little activity. Stop there.

Day 87

1. Practice
2. Complete this page. Watch the video and answer the questions. You can use a calculator.

Day 88

1. Practice
2. Complete page 3 on rates and proportions using equivalent fractions. Skip the matching in the quiz group.

Day 89

1. Practice
2. Review fractions, decimals and percents on page 4. (Don’t do the questions at the bottom!)
3. Complete these questions.

Day 90

1. Practice
2. Read the key terms on algebra on page 1 and complete the crossword puzzle.
3. Go to page 3. Watch the video if necessary on the order of operations. They are listed below the video if you just need a reminder. Do the two order of operations activities and then stop. (If you need a reminder about solving exponents, stop by page 2.)

Day 91

1. Practice
2. Learn about the properties of addition and multiplication.
3. Here are two more properties: additive inverse, multiplicative inverse.
4. Watch the video on the distributive property or read through this explanation.
5. Name that property.

Day 92

1. Practice
2. Complete page 4 on expressions.
3. Also watch the video on combining like terms.

Day 93

1. Practice
2. Evaluate the expressions.

Day 94

1. Practice

Day 95

1. Practice
2. Complete page 3 on solving equations with addition and subtraction and one variable.

Day 96

1. Practice
2. Complete page 4 on solving equations with multiplication and division.

Day 97

1. Practice
2. Algebra Do page 18. (Balancing Scales by Using Equations Assignment)
3. Check your answers when you are done. Answer Key

Day 98

1. Practice
2. Try your hand at writing expressions.

Day 99

1. Practice
2. If you don’t need to catch up, here’s some word rate and proportion word problems for review.

Day 100

1. Practice
2. Do the lesson on balancing equations with spy guys.
3. Then play hoops to practice more with solving equations.

Day 101

1. Practice
2. Read page 5, use the videos to learn about inequalities.
• Do the activity and quiz, except skip the matching.
• On the activity the one should read 4x is less than 20.
• On the quiz. The second one about calories with the answer being less than or equal to 320 has the answer wrong. You are correct for that one if it marks you wrong. 🙂 (answer: The answer is less than or equal to 328.)

Day 102

1. Practice
2. Do pages 6 and 7 on direct variation. Do not do the quiz.

Day 103

1. Practice
2. Read through the page on solving equations.
• There is a typo in Investigate problem. The 4 should be 5.
• Bennett has 15 coins in his coin collection. That is 5 more than his friend Matthew has in his coin collection. Write an equation that represents s, the number of coins Matthew has.
3. Solve one-step equations.

Day 104

1. Practice
2. Go through the page to learn about solving two-step equations. (Don’t do the practice questions at the bottom of the page.)
3. Practice solving two step equations.

Day 105

1. Practice
2. Algebra Do page 17. Please read the directions below BEFORE you start. (Algebra Assignment – Skating)
• For #4, the numbers to look at are the first and last columns, number of people and Total Cost.
• For #10, the expression created is in #8, not in #7.
3. Check your answers when you are done. Answer Key

Days 106-110

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet. Here’s a reminder about combining like terms. How about a little practice with that? It won’t take long.

Days 111-115

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Days 116-120

Master Math

Your goal is to finish this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Days 121-125

Days 126-130

Master Math

Your goal is to finish this in one week. If you get more than one wrong on the quiz, do the worksheet.

Days 131-135

Master Math

Your goal is to finish this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Days 136-140

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Day 141

1. Practice
2. Learn about and practice mean, median and mode on page 2.
• Need more? Practice mean here. And find the median here.

Day 142

1. Practice
2. Learn about and practice box and whisker plots on page 3. (Skip the matching.)
3. If you need more instruction, try this page.

Day 143

1. Practice
2. Read the page and practice different ways of representing data.
3. If you want, here’s more practice with stem and leaf plots.

Day 144(*)

1. Practice
2. Learn about qualitative and quantitative data.
3. (*)Practice reading tables.
4. Go through the lesson on surveys. Your goal is to just know the general idea of choosing a sample and the right and wrong of it.
5. Make one graph.

Day 145

1. Practice
2. Learn about finding the average.
3. Practice finding measures of center. You can use a calculator.

Day 146

1. Practice
2. Go through these pages on making inferences from data. (Answers)

Day 147

1. Practice
2. Catch up/review day.
3. If you don’t need to catch up, try these graph activities.
• choose the best type of graph
• choose the best type of graph

Day 148

1. Practice
2. Go through page 2 introducing probability.
3. Play to practice. You can choose the bottom option on the left.

Days 149

1. Practice
2. Go through pages 4 and 5 on probability as well.

Days 150

1. Practice
2. Play again and choose an option from the middle column.
3. Practice what you know about probability. (If the first question is about a dart board, feel free to use the hints on that one.)

Days 151-155

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Days 156-160

Master Math

Your goal is to complete this in one week. There are four lessons. If you get more than one wrong on the quiz, do the worksheet.

Day 161

1. Practice

Day 162

1. Practice
2. Data Analysis Do page 6. (Data Analysis Assignment)
3. Check your answers when you are done. Answer Key
4. Keep for your portfolio.

Day 163

1. Practice
2. Review probability. (flash)

Day 164

1. Practice
2. Catch up day — If you are on top of things try this trickier type of probability problem.
3. Read through the page on compound probability. Then practice.

Day 165

1. Practice
2. Data Analysis Do page 15. (Question for Thought: Data Analysis)

Day 166*

1. *Here is an Experimental Probability Assignment. You will use the links on the page for the assignment. (online coin toss and virtual spinner)
2. Check your answers when you are done. Answer Key (The second page would just be 25%. We changed the spinner used in the assignment.)

Days 167-180

Master Math

There are nine lessons. Your goal is to complete this by Day 180. If you get more than one wrong on the quiz, do the worksheet.

Congratulations! You’re finished!

Summer school: You could finish off the arithmetic practice page.