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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 twostep 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.
 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.
 Are you familiar with the terms on page 2?
 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.
 Click on play for the Factors and Multiples. (Note: 57 is not a prime number. It has factors of 3 and 19.)
 Practice
 Watch the videos for the lesson on prime factorization and for the exercise.
 Play Fruit Shoot with numbers up to 99.
 Practice with prime factorization.
 Practice
 Scroll down on page 2 to between the videos and read about the GCF and LCM.
 Tell someone what those acronyms stand for and what those terms mean.
 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.)
 Here’s another lesson on GCF if you need it.
 Practice GCF.
 If you need more help, you can use the Khan Academy videos on the left side of those pages.
 Practice
 Do you need another lesson on LCM before you practice it?
 Practice LCM.
 If you need more help, you can use the Khan Academy videos on the left side of those pages.
 Practice
 Read the top of page 4 on adding and subtracting fractions. Watch the presentation on factors and multiples for help in finding common denominators.
 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.
 Practice subtracting fractions.
 Practice adding mixed fractions.
 If you want more help, here are two videos.
 Practice
 Go down to multiplying fractions on page 4.
 Read about multiplying and dividing fractions and watch the video. Look through the examples.
 If you want more teaching, choose Fractions – Multiply and Divide (Home) from the menu. (In the first column on the left)
 Practice multiplying fractions.
 Practice dividing fractions.
 This website has more teaching if you need it, and here is an extra video.
 Practice
 Do some word problems. Choose two of the following.
 Adding and subtracting fractions. (Alternate)
 Multiplying fractions by fractions. (Alternate)
 Multiplying fractions by whole numbers. (Alternate)
 Dividing fractions. (Alternate)
 Practice
 Read the chart on page 14 about converting between fractions, decimals and percents and then do the match up activity.
 Practice converting fractions to decimals. (You can use a calculator.)
 Practice converting decimals to fractions.
 Practice
 You can refer to the chart on page 14 for help with your conversions.
 If you want more help, you can use this site.
 Practice converting decimals to percents.
 Practice converting percents to decimals.

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 postit 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.)

Answer Key Check your answers when you are done.
Master Math
Your goal is to complete this in one week. If you get more than one wrong on the quiz, do the worksheet.
 Estimating with Fractions
 Multiplying Fractions and Mixed Numbers
 Dividing Fractions and Mixed Numbers
 FractionDecimal Equivalency
 Have an extra day? Pick a game.
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.
 Start with rounding decimals. Lesson – Examples – (worked example under Common Method) Practice
 Multiplying Decimals
 Dividing Decimals
 Compare and Order Fractions, Decimals, and Percents
 Finding the Percent of a Number
 Estimating with Percentages
 Ratios
 Rates
 Extra days? Choose some games to play.
 Practice
 Read this list of terms about rational and irrational numbers.
 Now complete the crossword puzzle. There are no spaces between words.
 Learn about plotting numbers on a number line.
 Practice with a number line.
 Practice
 Learn about absolute value.
 Play numberball OR practice at Khan Academy.
 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?
 Practice
 Learn about adding integers with different signs.
 How do you subtract a negative number?
 Practice.
 Practice
 Learn about multiplying negative and positive numbers.
 Learn about dividing negative and positive numbers. Dividing follows the same rules as multiplying in terms of negatives and positives.
 Practice.
 Practice
 Catch up/review day.
 If you don’t need to catch up, try these two activities.
 Rick’s Toy Store — Click on integers – add and subtract (puzzles) in the lefthand column. Click on topics in the top left corner and choose Rick’s Toy Store at the bottom of the list.
 Wendy’s Toy Store Follow the directions in number 3, but choose multiply and divide.
 Practice
 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
 Practice
 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.)
 Look at this metric guide.
 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.
 Practice
 Read about converting measurements.
 Answer four of the questions correctly before moving on. You may use a calculator.
 Now read through this page on conversions.
 Answer four questions correctly. You may use a calculator.
 Practice
 Go through page 2 on finding area.
 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.
 Practice
 Go through page 3 on area of triangles and other polygons.
 Take the quiz. I have checked these answers.
 Practice
 Go through page 4 on volume.
 Take the quiz. I have checked these answers. There is a tricky thing in the answers. Can you spot it?
 Practice
 Go through page 5 on surface area. Here’s a surface area guide. (We’re not looking at circles and cylinders yet.)
 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!)
 Practice
 Take a quiz on finding volume.
 Take a quiz on surface area.
 Practice
 Measurement: Do page 17. (Volume and Surface Area Assignment)
 Answer Key Check your answers when you are done.
 Keep this for your portfolio.
 Practice
 Catch up/review day.
 If you don’t need to catch up, then go to this site and find the Builder’s Inc. building. Solve problems.
 You can do other buildings too if you want.
 Practice
 Learn about triangles.
 Play around with these triangles until you can identify each of the terms by the picture. Have someone quiz you on those triangle terms.
 Practice
 Read about similar shapes and answer the questions.
 Practice
 Learn about similar triangles and answer the questions.
Day 44
 Practice
 Perimeter and Area of Similar Figures If you get more than one wrong on the quiz, do the worksheet.
Day 45
 Practice
 Finding Unknown Measures in Similar Figures If you get more than one wrong on the quiz, do the worksheet.
Day 46
 Practice
 Scale Drawings If you get more than one wrong on the quiz, do the worksheet.
Day 47
 Practice
 Read through this page of geometry terms.
 Copy down each word (not the definition) and draw a picture for each one.
Day 48
 Practice
 Concept of Pi and Circumference of Circle If you get more than one wrong on the quiz, do the worksheet.
Day 49
 Practice
 Pi and Area of Circles If you get more than one wrong on the quiz, do the worksheet.
Day 50
 Practice
 Go through this page on circles.
 Go through this on threedimensional 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.
 Surface Area of Prisms
 Surface Area of Cylinders, Pyramids and Cones
 Surface Area of Composite Solids
 Volume of Prisms, Cylinders, Pyramids and Cones
 Extra day? Play 3D Shapes Concentration.
Day 56
 Practice
 Perimeter and Area of Composite Figures If you get more than one wrong on the quiz, do the worksheet.
Day 57
 Practice
 Volume of Composite Solids If you get more than one wrong on the quiz, do the worksheet.
 Practice
 Read about cross sections.
 Play with cross sections. Click and drag the sliders to change the placement of the cross section.
Day 59
 Practice
 Transformations If you get more than one wrong on the quiz, do the worksheet.
 Practice
 Transformations Part 2 If you get more than one wrong on the quiz, do the worksheet.
 Practice
 Geometry
 On page 11, read the top of page 11 and watch the 2 videos.
 Do this activity.
 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
 Practice
 Learn about quadrilaterals.
 Learn about symmetry. You don’t have to do the questions.
 Play this lines of symmetry game.
 Practice
 Read about rotational symmetry on page 6.
 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.
 How many points of rotational symmetry do these shapes have? That means they look the same when rotated to a certain degree.
Day 64
 Practice
 Catch up and review day.
 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.
 Practice
 Read the key terms. Write each one down and draw a picture for its definition. You don’t have to write the definition.
 Practice
 Follow the directions to draw.
 Check your drawing against this one . Did you get it?
 Practice
 Learn about measuring angles with a protractor. Do all the activities on the page. Here’s a video if that helps you.
 Practice measuring angles.
 Practice
 If you need a protractor or ruler, you can print one.
 Do the drawings described.
 Practice
 Go through pages 4, 5 and 6 on drawing and bisecting segments.
 Do pages 7 and 8 on copying and bisecting angles.
 Practice
 Review day – Catch up. Go back and practice something you didn’t do well on before.
 If you don’t need to, here’s more on bisecting. Try some out.
 Practice
 Geometry Do page 9. (Constructing a Perpendicular Line, Perpendicular Bisector and Parallel Lines)
 Practice
 Time to Practice Constructions! Name the two tools used in a basic construction.
 (Answer: Straight Edge and Compass)
 Use graph paper to draw perpendicular lines, bisectors, and parallel lines.
 Practice
 Geometry Do pages 13 and 14. (ThreeDimensional 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.
 Practice
 Here’s a lesson to try on transformations. Do all the parts.
 Practice
 Learn about scale drawings.
 Here’s a video about how to do it.
 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)
 If you are interested in doing things like this on the computer, try Sketchup.
 Practice
 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.
 Then try these questions.
 Practice
 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)
 Practice
 Today is catch up/review day.
 If you don’t need to catch up, here are some activities for review.
 measuring angles
 similar figures
 identifying triangle types, click the choice in the bottom right corner
 reflect and rotate
 Tetris
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.
 Writing and Evaluating Expressions
 Properties of Addition and Multiplication
 Distributive Property
 Use Formulas to Solve Problems
 Extra day? Play some integers games.
 Practice
 Read through the key terms and do the crossword puzzle on page 1.
 Go to page 2 and read the top of the page about rate and proportion. Do the little activity. Stop there.
 Practice
 Complete page 3 on rates and proportions using equivalent fractions. Skip the matching in the quiz group.
 Practice
 Review fractions, decimals and percents on page 4. (Don’t do the questions at the bottom!)
 Complete these questions.
 Practice
 Read the key terms on algebra on page 1 and complete the crossword puzzle.
 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.)
 Practice
 Learn about the properties of addition and multiplication.
 Here are two more properties: additive inverse, multiplicative inverse.
 Watch the video on the distributive property or read through this explanation.
 Name that property.
 Practice
 Complete page 4 on expressions.
 Also watch the video on combining like terms.
 Practice
 Evaluate the expressions.
 Practice
 Complete page 3 on solving equations with addition and subtraction and one variable.
 Practice
 Complete page 4 on solving equations with multiplication and division.
 Practice
 Algebra Do page 18. (Balancing Scales by Using Equations Assignment)
 Check your answers when you are done. Answer Key
 Practice
 Try your hand at writing expressions.
 Practice
 If you don’t need to catch up, here’s some word rate and proportion word problems for review.
 Practice
 Do the lesson on balancing equations with spy guys.
 Then play hoops to practice more with solving equations.
 Practice
 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.)
 Practice
 Do pages 6 and 7 on direct variation. Do not do the quiz.
 Practice
 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.
 Solve onestep equations.
 Practice
 Go through the page to learn about solving twostep equations.
 Practice solving two step equations.
 Practice
 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.
 Check your answers when you are done. Answer Key
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.
 Writing Equations in One Variable
 Solving Equations with Addition and Subtraction
 Solving Equations with Multiplication and Division
 Solving TwoStep Equations
 Extra day? Play an equations game.
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.
 Functions
 Inequalities – Lesson – Practice
 Solving Inequalities with Addition and Subtraction
 Solving Inequalities with Multiplication and Division
 Extra day? Play the coordinate plane game.
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.
 The Coordinate Plane
 Integers and Absolute Value
 Adding and Subtracting Integers
 Multiplying and Dividing Integers
 Extra day? Play some integers games.
 Use a worksheet or use prtscr and add a page to your portfolio.
 Operations with Rational Numbers
 Solving Algebraic Expressions with Addition and Subtraction
 Solving Algebraic Expressions with Multiplication and Division Take a screen shot of your quiz for your portfolio.
 Try your hand at some more equations: addition/subtraction and multiplication/division.
 Extra day? Make up a word problem that you can use an algebraic equation to solve. Write the problem, equation and solution.
Days 126130
Master Math
Your goal is to finish this in one week. If you get more than one wrong on the quiz, do the worksheet.
 Solving TwoStep Algebraic Expressions
 Solving Inequalities
 Read this page on solving inequalities and answer the questions.
 Direct Variation
 Extra day? Play an equation game.
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.
 Ratios and Rates
 Proportions
 Writing and Solving Proportions
 Slope
 Extra day? Choose a math game.
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.
 Inverse Variation
 Percent Equation
 Percentage Increase and Decrease
 Discounts, Markups, Simple Interest
 Extra day? Write an algebra word problem. Write the problem, equation and solution. Need ideas?
 Practice
 Learn about and practice mean, median and mode on page 2.
 Practice
 Learn about and practice box and whisker plots on page 3. (Skip the matching.)
 If you need more instruction, try this page.
 Practice
 Read the page and practice different ways of representing data.
 If you want, here’s more practice with stem and leaf plots.
 Practice
 Learn about qualitative and quantitative data.
 (*)Practice reading tables.
 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.
 Make one graph.
 Practice
 Learn about finding the average.
 Practice finding measures of center. You can use a calculator.
 Practice
 Go through these pages on making inferences from data. (Answers)
 Practice
 Catch up/review day.
 If you don’t need to catch up, try these graph activities.
 Practice
 Go through page 2 introducing probability.
 Play to practice. You can choose the bottom option on the left.
 Practice
 Go through pages 4 and 5 on probability as well.
 Practice
 Play again and choose an option from the middle column.
 Practice what you know about probability. (If the first question is about a dart board, feel free to use the hints on that one.)
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.
 Mean, Median, Mode, and Range
 Describe, Analyze, and/or Summarize a Data Set
 InputOutput Tables
 Analyzing Graphs
 Extra day? Create a graph.
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

 Practice
 Read this page on scatter graphs and answer the questions.
Day 162
 Practice
 Data Analysis Do page 6. (Data Analysis Assignment)
 Check your answers when you are done. Answer Key
 Keep for your portfolio.
 Practice
 Review probability.
 Practice
 Catch up day — If you are on top of things try this trickier type of probability problem.
 Read through the page on compound probability. Then practice.
 Practice
 Data Analysis Do page 15. (Question for Thought: Data Analysis)
 *Here is an Experimental Probability Assignment. You will use the links on the page for the assignment. (online coin toss and virtual spinner)
 Check your answers when you are done. Answer Key (The second page would just be 25%. We changed the spinner used in the assignment.)
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.
 Introduction to Probability
 Theoretical and Experimental Probability
 Dependent and Independent Events
 Equations and Functions
 Solving MultiStep Equations
 Solving Equations with Variables on Both Sides
 Finding Slope
 Finding Missing Dimensions in Plane Figures and Prisms
 Converting Measures between Systems
Congratulations! You’re finished!
Summer school: You could finish off the arithmetic practice page.
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