Math 6/7

Found a problem? Check here.

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, scientific notation, 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.

There are review days built into the lessons.

math-67-cover-workbook-small

Learn about our books to work offline.

Workbook / Parent Guide

This course does not have a Printables book/packet. If your student wants worksheets, they can use the Workbook along with their online lessons.

Factors & Multiples

Lesson 1

Welcome to your first day of school! I wanted to give you one important reminder before you begin. Many of your lessons below have an internet link for you to click on. When you go to the different internet pages for your lessons, please DO NOT click on anything else on that page except what the directions tell you to. DO NOT click on any advertisements or games. DO NOT click on anything that takes you to a different website. Just stay focused on your lesson and then close that window and you should be right back here for the next lesson. Okay?

  1. If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
  2. Also, there is a workbook available for this course. Now’s the time to decide if you’d like to have it. There is a lesson and practice page for each day, as well as the review activities, which in this course are listed as “practice page.” Go to the top of the course page for the book links.
  3. Every day, your first assignment will be a little arithmetic practice to keep your skills sharp. You’ll go to this Practice page and click one of the boxes. Do five practice math problems from one of the boxes each day. Your goal is to fill in all the boxes. Log in to keep track of what you are on. When you finish your 5 arithmetic practice questions, close it and come back to the next assignment on your lesson list here.
  4. Learn about finding factors and multiples. Read or Watch
  5. Make sure you understand.
  6. This is the end of your work for this course for your first day. You are allowed to move at your own pace (this is homeschooling), but it’s intended you complete one lesson a day.

Lesson 2

  1. Practice
  2. Watch the videos for the lesson on prime factorization and for the exercise.
  3. Find the prime and composites.
  4. Practice with prime factorization.

Lesson 3

  1. Practice
  2. Read about the GCF and LCM.
  3. Tell someone what those acronyms stand for and what those terms mean.
  4. Watch the walk through examples.  (If you already know this, you can skip to the practice. If you are getting them wrong, come back to the video.)
  5. Watch the video on finding the greatest common factor. If you prefer reading, here’s a lesson.
  6. Practice GCF.
  7. If you need more help, you can use the Khan Academy videos on the left side of those pages.

Lesson 4

  1. Practice
  2. Do you need a 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.
  5. Answer the GCF and LCM word problems.

Lesson 5

  1. Practice
  2. Read about the distributive property and try the examples.
  3. Practice the distributive property.
  4. Find the GCF to simplify the multiplication problems.
    • For instance, 6 + 30 = 6 x (1 + 5)  The GCF is 6. I “pulled” six out of 6 and 30 by dividing to get 1 and 5.

Fractions

Lesson 6

  1. Practice
  2. Read on adding and subtracting fractions. Here’s help in finding common denominators.
  3. Practice adding fractions, subtracting fractions, and adding mixed numbers. Use unlike denominators, which is the default. Get at least five correct of each type and restart to make the next choice.
  4. If you want more help, here is a video.

Lesson 7

  1. Practice
  2. Read about multiplying and dividing fractions and watch the video.  Check your answers.
  3. Multiply and divide fractions. Get at least five correct of each.
  4. This website has more teaching if you need it, and here is an extra video.

Lesson 8

  1. Practice
  2. Do some word problems with fractions. Check your answers.

Decimals

Lesson 9

  1. Practice
  2. Practice arithmetic with decimals. Make sure you write down the questions to solve them BEFORE you look at the answers. Cheating only makes math harder for you in the future. Save yourself the pain and suffering and make sure you can work out the answers.
  3. Then check your answers.

Lesson 10

  1. Review Lesson
    • Catch up if you are behind.
    • Practice what you had trouble with.
  2. Make sure you know the terms from this unit.
  3. Practice with this review.
  4. After that you could pick a game for review.

Ratios, Rates, & Proportions

Lesson 11

  1. Practice
  2. Learn about ratios and rates.
  3. Practice finding the unit rate.
  4. Check your answers.

Lesson 12

  1. Practice
  2. Complete a game of Find the Unit Price. (You may want to review converting metric measurements from Lesson 131 of Math 5/6.)
  3. Learn about ratio tables. (or if you prefer a video)
  4. Find the ratios/rates by completing the ratio tables.

Lesson 13

  1. Practice
  2. Learn about proportions.
  3. Watch the video about how to set up proportions, or you can try the questions and come back to this video if you run into any trouble.
  4. Practice proportions.
  5. Use equivalent fractions to find the answer.

Lesson 14

  1. Practice
  2. Cross multiplying is the other method of finding the unknown number in a proportion.
    • You multiply each numerator with the other number’s denominator. Then divide each side by whatever is multiplied by your missing number.
    • Look at how to cross multiply and read the steps. There is no picture for the final step. Don’t skip it!
    • If you could have easily reduced 10/13 before multiplying, you should to make it easier!
      • x/5 = 6/36  would be easier as x/5 = 1/6
  3. Watch a video to see it in action.
  4. This page has more examples and then problems to try.

Lesson 16

  1. Practice
  2. Learn how to use percents in proportions. Work through the examples.
  3. Make sure you go all the way to the end and answer the practice questions.

Lesson 17

  1. Catch-up and review day!
  2. Go back and try again something that you didn’t do so well on. Here’s a video teaching ratios if you need help on that.
  3. Use these questions for practice.
  4. Make sure you know the key terms. You could test yourself. Can you write an example of each?
  5. After that you could pick a game for review.

Exponents

Lesson 18

  1. Practice
  2. Take a quick look at exponents. If this doesn’t feel easy and familiar to you, go through a lesson.
  3. Practice with exponents.
  4. Read about order of operations.
  5. Test your understanding of order of operations.

Lesson 19

  1. Practice
  2. Review the number properties and use them.
  3. Watch the video using a variable.
  4. What do you think the answer would be for 3(x + 1)?
    • 3x + 3
  5. Use the distributive property to distribute 2(x + 4) and 5(3 + x).
  6. Answers
  7. Practice with the number properties.

Expressions

Lesson 21

  1. Practice
  2. Learn about like terms.
  3. Answers

Lesson 22

  1. Catch-up and review day.
  2. Make sure you know the key terms. Can you write an example for each one?
  3. Practice them.
  4. Practice again with order of operations. (alternate link for mobile devices)
  5. Evaluate expressions.

Equations

Lesson 23

  1. Practice
  2. Learn about equations.
  3. Answers

Lesson 24

  1. Practice
  2. Learn about using the inverse operation to solve an equation.
  3. Model it!
    • Put the blocks on the scale so that they match each side of the equation. If there is 3x + 1 on one side of the equations, you need three x blocks and one 1 block.
    • Then you subtract or add what is necessary to keep the scales balanced and get X by itself.
  4. Practice it.
  5. Answers

Lesson 25

  1. Practice
  2. Practice with using addition and subtraction to solve equations.
  3. Check your answers.
  4. You can play more with the model if that helps (or if you think it’s fun).

Lesson 26

  1. Practice
  2. Learn about using the inverse of multiplication and division to solve an equation.
  3. Model it. Make the problem and then solve it. Click on what you need to do, such as divide by 3.
  4. Read and practice and write down the equations as he does them.
  5. Practice solving equations using multiplication and division.

Lesson 27

  1. Practice
  2. Practice using multiplication and division to solve an equation.
  3. Check your answers.

Lesson 28

  1. Practice
  2. Read or watch the video on finding mistakes in solving one-step equations.
  3. Find the mistake (if there is one).
  4. Can you write the equation like you wrote expressions?
  5. Now solve the equations. Don’t do it in your head! Write out each equation before you answer it. If you haven’t written out the equations, then you haven’t completed this assignment.

Inequalities

Lesson 29

  1. Practice
  2. Learn about inequalities. You can watch a video on graphing inequalities on a number line.
  3. Practice graphing inequalities.
  4. Substitute in the given values to see if they are a solution, just like you would evaluate an expression.

Lesson 30

  1. Practice
  2. Learn about solving inequalities.
  3. Here are some examples.
  4. Solve the inequalities, just like you would an equation.
  5. Go through the practice word problems.
  6. Solve the inequality word problems.

Lesson 31

  1. Practice
  2. Learn about direct variation.
  3. Here’s an example.
  4. Make a table that shows x and y for y = 15x.
  5. Check your answer.
  6. Write the equations.
  7. Answers

Lesson 32

  1. Make sure you know your key terms for the unit. What’s an example of each?
  2. You can practice them and test yourself.
  3. Catch up if you need to.
  4. Here’s some practice for review.

Area & Volume

Lesson 33(*) NOTE that an asterisk * indicates that there is a worksheet to print. And asterisk in parentheses (*) means it’s optional to print.

  1. Practice
  2. Learn about area.
  3. (*)Practice. Find the perimeter as well for #2.
    • This is a PDF, but you can just look at it on the screen and write down your work and answers.
  4. Check your answers.

Lesson 34

  1. Practice
  2. Learn about finding the area of triangles and other polygons.
  3. Make sure you scroll down to complete the practice.
  4. Check your answers.

Lesson 35(*)

  1. Practice
  2. Learn about finding the volume. It’s also described below.
    • The volume of a rectangular prism is found by finding the area of the rectangle by multiplying the length times width, and then multiplying that by the new dimension, the height. Here are ways to show it.
      • Volume (of a rectangular prism) = base x height (rectangle base of the prism times its height)
      • Volume = area of the rectangle x height
      • Volume = length x width x height
      • V = lwh
    • The volume of a triangular prism is found in the same way, but by finding the area of the triangle and then multiplying by the height.
      • Here’s a video for find the volume of a triangular prism if you like.
      • Volume (of a triangular prism) = base x height (triangular base of the prism times its height)
      • Volume = area of the triangle x height
      • Volume = 1/2 (base)(height of triangle) x height of prism
  3. (*) Practice. Some helpful hints: for number 4, the height is 4 and the base is 9. For the last one, the B is the area of the triangular base and the units should be squared (cm² instead of cm).
    • You can just view the PDF online and write down your work. Don’t just write your answers.
    • Write the numbers out in an equation and show your work as you solve, so if something goes wrong you can track where you made your mistake.
  4. Check your answers.

Lesson 36

  1. Practice
  2. Look at nets. A net is the 3D shape opened up flat. Start with a cube. Look at it as a solid and as a net. Choose the option from the top menu. Then look at other solids and nets. Choose from the dropdown menu.
  3. Look at how nets can help us figure out surface area.
  4. Watch the video to see a solution worked out for finding the surface area of a rectangular prism. You are finding the surface area of each side.
  5. Practice finding surface area.

Lesson 37

  1. Practice
  2. Watch a video on finding the surface area of triangular prisms.
  3. Practice figuring out how to find the surface area of prisms.
  4. Watch a worked-out word problem.
  5. Practice with surface area word problems.

Lesson 38

  1. Practice
  2. Practice with surface area and volume.
  3. Check your answers.
  4. Make sure you know the key terms for this unit.

Lesson 39

  1. Test yourself on the key terms for this unit.
  2. Catch-up and review day. Try again anything that tripped you up.
  3. Here are some of the earlier practices for review.

Statistics & Graphing

Lesson 40

  1. Practice
  2. Read the definitions of mean, median, and mode.
  3. Here are examples of each.
  4. Find the mean (average), median, and mode of these numbers.
    1.   8, 12, 9, 10, 9, 12, 7, 17, 11, 10, 12, 8, 12
    2.   22, 28, 25, 20, 24, 23, 22, 26, 28, 22, 20, 17, 22
    3.   3, 5, 1, 6, 3, 8, 4, 7, 6, 3, 7, 2, 8, 4, 9, 5
    4.   532, 560, 512, 524, 532, 511, 561
  5. Check your answers.
  6. Take a look at this word problem to show you when a median might be more accurate than the mathematical mean.

Lesson 41

  1. Practice
  2. Learn about the range and standard deviation. There are directions on the page. The range is just the difference between the largest and smallest numbers in the set. The mean standard deviation is an average of ranges.
  3. Check your answers.

Lesson 42

  1. Practice
  2. Learn about box plots.
  3. Practice creating box plots.
  4. Learn about reading box plots.
  5. See what interquartile range is.
  6. Practice reading box plots.
  7. Answer the questions.

Lesson 43

  1. Practice
  2. Learn about different types of graphs.
  3. Practice with graphs.
  4. Check your answers.

Lesson 44(*)

  1. Practice
  2. Use line plots to compare data.
    • You can find a line plot example at the bottom of this page.
    • You can practice with a line plot here. Click above each data point to be included on the graph. Show the number of dots that equals the amount for that data.
  3. (*)Complete the analyzing graphs assignment.
    • This is a PDF, but you can just look at it on the screen and write down your work and answers.
  4. Check your answers.

Lesson 45

  1. Practice
  2. Copy down each term in your math notebook and write an example of each. That means drawing graphs and listing sets of numbers and finding their mean, etc.
  3. Make sure you know your terms. You can use the flashcards or any of the games.
  4. Here are simple graphing exercises to make sure you are comfortable reading the different types of graphs. You can just do one on each if you get it correct.

Lesson 46

  1. Catch-up and review day. Here’s some practice below.
  2. Practice one-step equations.
  3. PEMDAS  Leave everything checked.
  4. Find the average.

Number Line & Absolute Value

Lesson 47

  1. Practice
  2. Learn about ordering numbers on a number line.
  3. Check your answers.
  4. Practice with numbers on a number line. You can use a video on the left if you need it.

Lesson 48

  1. Practice
  2. Learn about absolute value.
  3. Check your answers.

Lesson 49

  1. Practice
  2. Here’s another quick and easy lesson for you. This one is on opposites.
  3. Answer the questions.
  4. Check your answers.

Graphing

Lesson 50

  1. Practice
  2. Learn about the coordinate system and practice.
  3. Check your answers.
  4. Plot some points. If you have graph paper, you could try it on real paper.

Lesson 51

  1. Make sure you know your key terms. Write each one with an example.
  2. Practice and test yourself.
  3. You can work on catching up or review today.
  4. PEMDAS  Leave everything checked.
  5. Practice one-step equations. (This is a review day, so you don’t have to complete this whole board if you don’t need the practice, but do at least a couple from each column.)

Lesson 52

  1. We’re going to review the units so far.
  2. Unit 1 Review
  3. Check your answers.
  4. Make sure you know the terms.

Lesson 53

  1. Unit 2 Review
  2. Check your answers.
  3. Make sure you know the terms. You can test yourself, use the flashcards, and/or play the games.

Lesson 54 

  1. Unit 3 Review
  2. Check your answers.
  3. Make sure you know the terms.

Lesson 55

  1. Unit 4 Review
  2. Check your answers.
  3. Make sure you know the terms.

Lesson 56

  1. Unit 5 Review
  2. Check your answers.
  3. Make sure you know the terms.

Lesson 57

  1. Unit 6 Review
  2. Check your answers.
  3. Make sure you know the terms.

Lesson 58

  1. Unit 7 Review
  2. Check your answers.
  3. Make sure you know the terms.

Lesson 59

  1. Catch-up and review day.
  2. Catch up if you need to. Go back and redo a lesson that you didn’t get.
  3. Here are games you can play over today and Lesson 60 before we start new lessons again. There are ten activities and two days.

Lesson 60

  1. Catch-up and review day.
  2. Catch up if you need to. Go back and redo a lesson that you didn’t get.
  3. Here are games you can play before we start new lessons again. These are the same as Lesson 59.

Expressions & Equations

Lesson 61

  1. Practice
  2. Make sure you know your number properties.
  3. Solve some problems using the distributive property.
  4. Every time you solve an equation, you are using number properties.
    • What property do you use to solve 2x = 4?
    • What number property do you use to solve 2 + x = 4?
  5. Check your answers.

Lesson 62

  1. Practice
  2. Learn about integer representations.
    • (Answers: They are all 0. They each are inverses. Additive inverses always have a sum of zero.)
  3. Complete the assignment.
  4. Check your answers.

Lesson 63

  1. Practice
  2. Learn about operations with integers. Make sure to write out equations and answers as you do the “Investigate” questions. This applies to any time you come across these in the future as well!
  3. Check your answers.
  4. Are you confident? Here’s a little more practice with using negative numbers if you aren’t feeling sure of yourself.

Lesson 64

  1. Practice
  2. Complete the assignment.
  3. Check your answers.

Fractions & Decimals

Lesson 65

  1. Practice
  2. Learn about converting fractions into their equivalent decimal. If you want more, here’s another page on it. Here’s a video if that helps you.
  3. Check your answers.

Lesson 66

  1. Practice
  2. Learn about converting decimals into fractions. It’s really easier than even this. Just say the decimal out loud. Three tenths is both 0.3 and 3/10. Three hundreds is both 0.03 and 3/100.  Three thousandths is both 0.003 and 3/1000. Always simplify your answer.
  3. Complete numbers 6 – 13 of the assignment.
  4. Check your answers.

Lesson 67

  1. Practice
  2. Learn about decimal operations.
  3. Check your answers.
  4. Play.

Lesson 68

  1. Practice
  2. Complete the assignment. (When necessary, round to the nearest hundredth.)
  3. Check your answers.

Lesson 69

  1. Practice
  2. Read about adding and subtracting fractions.
  3. Watch the videos on adding and subtracting mixed numbers.
  4. Complete the odd numbers.
  5. Check your answers.

Lesson 70

  1. Practice
  2. Practice adding fractions and mixed numbers. Complete the game. (This is a 2-player game. You can either find a partner or play both players yourself.)

Lesson 71

  1. Practice
  2. Read about multiplying fractions and mixed numbers.
  3. Do the odd numbers.
  4. Check your answers.

Lesson 72

  1. Practice
  2. Complete the challenge board. We didn’t cover estimating products, but you can feel free to give it a try. It just means to round the whole number up if the fraction is one half or more and to leave the whole number the same otherwise.

Lesson 73

  1. Practice
  2. Read about dividing fractions.
  3. Watch the video example of dividing a fraction by a whole number.
  4. Complete the odd numbers.
  5. Check your answers.

Lesson 74

  1. Practice
  2. You didn’t get extra practice in dividing decimals. Need a review?
  3. Do a dividing decimals activity.
  4. Make sure you know your place values.
  5. Round these decimals. Look at the place value to the right of the one you are rounding to. If you are rounding to the nearest tenth, you look at the hundredths to see if it is less than five.

Lesson 75

  1. Practice
  2. Complete through number 18 today. Skip numbers 7 and 17. You will finish tomorrow.
  3. Check your answers.

Lesson 76

  1. Practice
  2. Finish the assignment today.
    • Skip number 20.
    • #21  Form a conjecture means make a guess or draw a conclusion based on the information you have.
    • #26  This is referring to fact families. What multiplication problem would give you the answer to the division problem 2 x 3 = 6 … 6/3 = 2
  3. Check your answers.

Lesson 77

  1. Complete the project. Do Part 1 (on page 1).  You can use a calculator to complete the table. Then answer questions 1-5 at the top of page 2 using the table you just completed.
  2. Check your answers here.

Expressions

Lesson 78

  1. Practice
  2. Translate words into number expressions.
  3. Check your answers.

Lesson 79

  1. Practice
  2. Watch the video on combining like terms.
  3. Go through the page on simplifying expressions and complete the exercise.
  4. Check your answers.

Lesson 80

  1. Practice
  2. Watch the video on factoring with variables with the distributive property.
  3. Practice using the distributive property with variables.
  4. Here’s a video example of simplifying expressions.
  5. Complete numbers 3 and 4.
  6. Check your answers, scroll down.

Lesson 81

  1. Practice
  2. Learn about solving equations with integers.
  3. Check your answers.
  4. Try some equations.

Lesson 82

  1. Practice
  2. Complete the assignment. Numbers 9 and 16 can be skipped, but try them if you want a challenge.
  3. Check your answers.

Lesson 83

  1. Practice
  2. Solve equations with decimals. Make sure to follow the directions on the page and actually solve everything and write down answers!
  3. If it helps you to see videos, here are some. You can use the website below or Khan Academy any time you want to search a video on how to answer a certain type of question.
  4. Check your answers.

Lesson 84

  1. Practice
  2. Learn about solving equations with fractions.
  3. How about a video to walk through it?
  4. Practice.

Two-Step Equations

Lesson 85

  1. Practice
  2. Learn about solving two-step equations.
    • Here’s a video to walk you through how to solve them.
    • Here’s another if that’s helpful.
  3. Check your answers.
  4. Model two-step equations.

Lesson 86

  1. Practice
  2. Learn about solving two-step equations with fractions and decimals.
  3. Watch the video on using the LCD to help you solve equations.
  4. Do only the odd numbers.
  5. Check your answers.
  6. Practice with fractions.

Multi-Step Equations

Lesson 87

  1. Practice
  2. Learn about solving multi-step equations.
  3. Solve the odd-numbered equations.
  4. Check your answers.

Lesson 88

  1. Practice
  2. Learn about solving equations with variables on both sides.
  3. Here’s a video on solving equations with variables on both sides.
  4. Practice with solving equations with variables on both sides.

Lesson 89

  1. Practice
  2. Check out working with variables on both sides with fractions. Do the five questions.
  3. Complete the first ten of this assignment.
  4. Check your answers.

Lesson 90

  1. Review equations. Complete the challenge board to practice solving equations of all types.
  2. We haven’t done literal equations. You can feel free to skip those. You can feel free to try to figure them out as well.

Lesson 91

  1. Balance some equations. Make the expression 3x + 1 by dragging three x blocks and one 1 block onto the scale.
  2. Complete the equations project. For number 2 you’ll be drawing a graph showing numbers of players and total cost.
  3. There is no answer key for this. Your success is the ability to answer the questions.

Lesson 92

  1. You can have a review and catch-up day.
  2. Here are activities you can use if you don’t have something specifically you need to go back and complete or redo. You don’t need to do them all, especially when there are multiple options for a topic!

Inequalities

Lesson 93

  1. Practice
  2. Learn about solving inequalities.
  3. Check your answers.
  4. Complete numbers 2, 3, 7, 8, 9, 11, 12 on this worksheet on adding and subtracting with inequalities. You’ll finish on Lesson 95.
  5. Check your answers.

Lesson 94

  1. Practice
  2. I want you to start with a video today. There’s a trick to multiplying and dividing inequalities with a negative number, and I want you to see it and hear the explanation.
  3. Learn about solving inequalities with multiplying and dividing.
  4. Practice. You can look at the examples, but the practice problems are at the bottom. Check your answers when you are done and make sure you can get the right answers.

Lesson 95

  1. Practice
  2. Practice with inequalities today.
  3. Complete the rest of this worksheet (numbers 1, 4, 5, 6, 10, 13, 14, 15) on adding and subtracting with inequalities.
  4. Complete numbers 1 -10 on the worksheet on multiplying and dividing with inequalities.
  5. Check your answers.

Lesson 96

  1. Practice
  2. Learn about solving multi-step inequalities. Check your answers.
  3. Practice two-step inequalities. If you want the video for another example, it’s in the menu.

Lesson 97

  1. Practice
  2. Do 6 equations (Questions 1 – 6).
  3. Solve the odd-numbered inequalities.
  4. Check your answers.

Rates

Lesson 98 

  1. Practice
  2. Learn about rates.
  3. Check your answers.
  4. Practice some more with comparing rates. The videos for rates are on the page if that helps you to watch how a problem is approached and solved.

Lesson 99

  1. Practice
  2. Complete the challenge board on rates and complex fractions.

Percents

Lesson 100

  1. Practice
  2. Learn about the percent of change.
  3. Practice. (alternative)

Lesson 101

  1. Practice
  2. Practice percent of change.
  3. Check your answers.

Lesson 102

  1. Practice
  2. Apply your knowledge of percents.
  3. Check your answers.

Lesson 103

  1. Practice
  2. Practice with percents.
  3. Check your answers.
  4. Find the sales tax.
  5. Find the commission.

Lesson 104

  1. Practice
  2. Learn about simple interest.
  3. Check your answers.
  4. Extra practice if needed

Lesson 105

  1. Practice
  2. Practice more with interest.

Lesson 106

  1. Catch-up and review day.
  2. Each day will have a page of practice questions that you can use.
  3. Review solving equations. Complete the odd numbers.
  4. Check your answers.

Lesson 107

  1. Catch-up and review day.
  2. Do the odds on the first to practice proportions.
  3. Practice with rates.
  4. Check your answers.

Direct Variation Equations

Lesson 108

  1. Practice
  2. Learn about direct variation.
  3. Check your answers.
  4. Want to try a challenge question using direct variation equations?
    • On planet X, an object falls 18 feet in 2 seconds. Knowing that the distance it falls (y) varies directly with the square of the time of the fall (x), how long does it take an object to fall 79 feet? Is the formula. Use a calculator. Round your answer to two decimal places. (Answer: 4.19 seconds 4 is 2 squared.  18 = k4  18/4 = 4.5, which is your k. Then solve. 79=4.5*x^2)

Lesson 109

  1. Practice
  2. Complete the assignment.
  3. Check your answers.
  4. Test your skills. See if you can get past the first level. Feel free to challenge yourself!

Similar Figures, Scale, Proportions

Lesson 110

  1. Practice
  2. Learn about similar figures. Don’t click on the videos.
  3. Watch this video. In the example at the end of the video, the scale factor is 2. You multiply each side by 2 to get the length of the enlarged side.
  4. Try the practice. Do NOT submit.

Lesson 111

  1. Practice
  2. Here are two videos that go along with today’s lesson.
  3. Learn about proportions.
  4. Check your answers.
  5. Play with proportions.

Lesson 112

  1. Practice
  2. Learn about scale drawings.
  3. Check your answers.
  4. Practice with scale drawings.

Lesson 113

  1. Practice
  2. Practice with scale drawings.
  3. Check your answers.

Lesson 114

  1. Practice
  2. Work with similar figures.
  3. Check your answers.

Lesson 115

  1. Practice
  2. Practice with similar figures.
  3. Complete the assignment.
  4. Check your answers.

Lesson 116

  1. Complete the project.
    • Dilation and dilate refer to things expanding, getting bigger.
  2. Check your answers.

Lesson 117

  1. Review with Jeopardy.

Angles

Lesson 118

  1. Practice
  2. Learn about angle relationships. The little square markings show where there is a right angle.
  3. Check your answers.

Lesson 119

  1. Practice
  2. Continue learning about angle relationships.
  3. Practice with angles.

Lesson 120

  1. Practice
  2. This page has examples of the types of angles mentioned in this assignment.
  3. Complete the odd numbers of the assignment.
  4. Check your answers.

Lesson 121

  1. Practice
  2. Make sure you know your triangles.
  3. Play triangle concentration.
  4. Learn about triangles. Make sure to write out the examples. Try them yourselves.
  5. Check your answers.

Lesson 122

  1. Practice
  2. Here is video on the angle sum theory if you want it.
  3. Complete the odd questions on the assignment on triangles.
  4. Check your answers.

Lesson 123

  1. Complete the project.
  2. Check your answers.

Geometry – cross sections, circumference, area

Lesson 124

  1. Practice
  2. Learn about cross sections.
  3. Check your answers.

Lesson 125

  1. Practice
  2. Learn about circumference and area.
  3. Do five of each. You can use a calculator.

Lesson 126

  1. Practice
  2. Do a couple of each.
  3. Practice finding circumference with the given information.
  4. Check your answers.

Lesson 127

  1. Practice
  2. Learn about finding the composite area, the total area.
  3. Check your answers.

Lesson 128

  1. Practice
  2. Practice finding the composite area. For number 4, please assume a line closing the figure and all little sides are 4 m. If the pdf isn’t opening for you, here is the image of the page.
  3. Check your answers.

Lesson 129

  1. Catch-up and review day.
  2. You can go back and redo a lesson that caused you trouble, and you can use the activity below to help you review.
  3. Work on complementary and supplementary angles.

Lesson 130

  1. Catch-up and review day.
  2. You can go back and redo a lesson that caused you trouble, and you can use the activity below to help you review.
  3. Find the area.

Lesson 131

  1. Catch-up and review day.
  2. You can go back and redo a lesson that caused you trouble, and you can use the activity below to help you review.
  3. Find the similar figures and proportions.
    • Two of these have the question cut off at the end.
    • Maria bought a dozen cookies for $6.47. If she only wanted to buy one cookie, about how much would it cost?
    • Jose is taking a trip with his family. In the first 5 hours, they drove 275 miles. If they drove at that speed without stopping, which of the answers is true?

Lesson 132

  1. Catch-up and review day.
  2. You can go back and redo a lesson that caused you trouble, and you can use the activity below to help you review.
  3. Find the similar figures and proportions.

Lesson 133

  1. Catch-up and review day.
  2. You can go back and redo a lesson that caused you trouble, and you can use the activity below to help you review.
  3. Find the similar triangles. Try questions 1, 2, 3, 8, and 9.
  4. Congruent means the same – the same size and the same shape. Similar means the same shape but a different size.

Geometry – volume, surface area, perimeter, circumference

Lesson 134

  1. Practice
  2. Learn about finding volume.
  3. Check your answers.
  4. Find the volume.

Lesson 135

  1. Practice
  2. Do the odd numbers 1 – 19. The little red squares mark where there is a right angle.
  3. Check your answers.

Lesson 136

  1. Practice
  2. Find the number of edges, vertices, and faces of a cube. Click on “Show Total” on the left. Then click on the cube.
  3. Learn about surface area.
  4. Check your answers.

Lesson 137

  1. Practice
  2. Complete numbers 5 -12 of the surface area assignment.
  3. Check your answers.

Lesson 138

  1. Complete the pizza project to connect what you have learned about area and perimeter/circumference with real life situations.
  2. Design six pizzas so that all have an area of 64 square inches. Draw each shape and label the dimensions. Then find the perimeter or area of each. Use 3.14 for pi.
    • One is a circle.
    • One is a square.
    • One is a long rectangle.
    • One is a wide rectangle.
    • Choose the shape for the last two pizzas – triangle, rectangle, rhombus, trapezoid, composite, etc.
  3. Which shape has the smallest perimeter? Which dimensions of a rectangle produce the smallest perimeter among all rectangles with the given area?
  4. Check your answers.

Lesson 139

  1. Complete the pool project to connect what you know about the volume of prisms with real life examples.
  2. Design six pools so that are all five feet deep and have a base perimeter (or circumference) of 64 feet. Draw each shape and label the dimensions. Then find the volume. Use 3.14 for pi.
    • One is circular. (This will be a cylinder with a height of 5 feet.)
    • One is square. (This will be a square prism with a height of 5 feel.)
    • One is a long rectangle.
    • One is a wide rectangle.
    • You can choose the shape of the other two pools – triangle, rectangle, rhombus, trapezoid, composite shape, etc. Draw them, label their dimensions, and find their volumes.
    • Which shape has the largest volume? Which has the smallest?
  3. Which prism has the largest volume? Which dimensions of a rectangular base produce the largest volume among all rectangular prisms with the given height and base perimeter?
  4. Check your answers.

Lesson 140

  1. Practice
  2. One more practice. Do the odd numbers 21 – 39. Find the volume and surface area.
  3. Check your answers.

Statistics – data, population, probability, predictions

Lesson 141

  1. Practice
  2. Learn about data analysis.
  3. Check your answers.

Lesson 142

  1. Practice
  2. Complete the data analysis assignment. (Skip #19)
  3. Check your answers.

Lesson 143

  1. Practice
  2. Learn about population and samples.
  3. Can you tell if these are random or biased samples?

Lesson 144

  1. Practice
  2. Complete the assignment.
  3. Check your answers.

Lesson 145

  1. Complete the project.
  2. Check your answers.

Lesson 146

  1. Practice
  2. Learn about probability.
  3. Check your answers.

Lesson 147

  1. Practice
  2. Complete the assignment.
  3. Check your answers.
  4. Play with probability.

Lesson 148

  1. Practice
  2. Learn about experimental probability.
  3. Check your answers.

Lesson 149

  1. Practice
  2. Complete the practice.
  3. Check your answers.
  4. Try some more with probability. Scroll down to selection of probability activities and click on the play button on the left, Use the Language of Probability.

Lesson 150

  1. Practice
  2. Learn about theoretical probability.
  3. Check your answers.

Lesson 151

  1. Practice
  2. Complete the assignment.
  3. Check your answers.

Lesson 152

  1. Practice
  2. Learn about sample spaces.
  3. Check your answers.

Lesson 153

  1. Practice
  2. Check out these simulations.
  3. Complete the assignment.
  4. Check your answers.

Lesson 154

  1. Practice
  2. Learn about making predictions.
  3. Check your answers.

Lesson 155

  1. Practice
  2. Complete the assignment.
  3. Check your answers.

Lesson 156

  1. Practice
  2. Learn about compound probability.
  3. Check your answers.

Lesson 157

  1. Practice
  2. Complete the assignment on compound probability.
  3. Check your answers.

Lesson 158

  1. Complete the project.
  2. Check your answers.

Lesson 159

  1. Here are some probability practices.

Lesson 160

  1. Catch-up and review day. Go back and practice what you got wrong before.
  2. Here’s a review if you like: make predictions.

End-Of-Year Review

Lesson+ 161

  1. Practice
  2. We’re going to use another resource to review. I especially want you to practice more with equations.
  3. If you get more than one wrong on the quiz, do the worksheet. Writing and Evaluating Expressions

Lesson 162

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Properties of Addition and Multiplication

Lesson 163

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

Lesson 164

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Use Formulas to Solve Problems

Lesson 165

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Writing Equations in One Variable

Lesson 166

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Equations with Addition and Subtraction

Lesson 167

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Equations with Multiplication and Division

Lesson 168

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Two-Step Equations

Lesson 169

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

Lesson 170

  1. Practice
  2. Inequalities – Lesson – Practice

Lesson 171

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Inequalities with Addition and Subtraction

Lesson 172

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Inequalities with Multiplication and Division

Lesson 173

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Integers and Absolute Value

Lesson 174

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Adding and Subtracting Integers

Lesson 175

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Multiplying and Dividing Integers

Lesson 176

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Solving Two-Step Algebraic Expressions

Lesson 177

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

Lesson 178

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

Lesson 179

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

Lesson 180

  1. Practice
  2. If you get more than one wrong on the quiz, do the worksheet. Writing and Solving Proportions

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

Donate/Say Thanks