Catherina & Jessica : Maths



You will start at the top of the page (at Addition and Subtraction) and work your way down in order. Make sure you read the directions every time. The first link on each line is to the video unless marked differently. You can move onto the exercise as soon as you know the material. That means you can do the exercise without watching the video if you already know how to do it. 

At some point, you should probably be watching all of the videos. Some days you will be doing more than one exercise. Some days you won’t make it through one whole exercise. You will stay on an exercise until you are proficient. One suggestion is to set aside 30 minutes for math each day. When you stop in the middle of an exercise, it should remember how many problems you’ve done. 

Make sure you make an account and log in though! 

Addition and Subtraction with Positive and Negative Numbers
  1. Basic Addition  Complete the exercise.
  2. Basic Subtraction  Complete the exercise.
  3. Addition 2  Complete the exercise.
  4. Subtraction 2  Complete the exercise.
  5. Addition 3  Complete the exercise.
  6. Subtraction 3: Introduction to Borrowing or Regrouping  Complete the exercise.  You don’t have to finish the whole exercise before moving onto #7.
  7. Why borrowing works  &  Alternate mental subtraction method   Finish the subtraction exercise from #6.
  8. Addition 4   Complete the exercise “4 digit addition with carrying.”
  9. Level 4 Subtraction  Complete the exercise.
  10. Complete the exercise “Addition and Subtraction Word Problems.”
  11. Negative Numbers Introduction  Complete the exercise.
  12. Ordering Negative Numbers  Complete the exercise.
  13. Adding Negative Numbers and  Adding integers with different signs   Complete the exercise.
  14. Adding/Subtracting negative numbers   Complete the exercise “Adding and Subtracting Negative Numbers.”
  15. Complete the exercise “Negative Number Word Problems.”

Multiplication and Division with Positive and Negative Numbers

  1. Basic Multiplication and Multiplication 2: The Multiplication Tables   Complete the exercise.
  2. Multiplication 3: 10,11,12 times tables   Click on the 11 and then test. Then go again and click on 12 and then test.
  3. Multiplying by multiples of ten  Complete the exercise.
  4. Division 1 and Division 2   Complete the exercise.
  5. Dividing Whole Numbers and Applications 1   Complete the exercise “Division without Remainders.”
  6. Multiplication : 3-digit times 1-digit number example and Multiplication 5: 2-digit times a 2-digit number   Complete the exercise.
  7. Multiplication 6: Multiple Digit Numbers   Begin the exercise. You don’t have to finish all of them before you go on to #8.
  8. Lattice Multiplication and Why Lattice Multiplication Works   Finish the exercise “Multiplying 3 Digits by 2 Digits.”
  9. Division 3: More long division and remainder examples   Complete the exercise.
  10. Multiplying Whole Numbers and Applications 4 and Multiplying Whole Numbers and Applications 6   Complete the exercise.
  11. Level 4 division   Begin the exercise. You don’t have to finish the exercise before moving onto #12.
  12. Partial Quotient Division and Partial Quotient Method of Division 2   Finish “Multi Digit Division.”
  13. Answer the addition and subtraction word problems.  (review)
  14. Place Value 1 and Place Value 2 and Place Value 3   Complete the exercise.
  15. Rounding Whole Numbers 1 and Rounding Whole Numbers 2 and Rounding Whole Numbers 3   Complete the exercise.
  16. Multiplying Positive and Negative Numbers and Why a Negative Times a Negative is a Positive and Dividing Positive and Negative Numbers   Complete the exercise.

Number Properties

  1. Commutative Law of Addition and Commutative Law of Multiplication   Explain and demonstrate the commutative law to a younger sibling (or someone else) using toys. (If I give you one car and one plane, you have a car and a plane. If I give you one plane and one car…   If I give you a toy car two times, you have…   If I give you two toy cars one time, you have…)
  2. Associative Law of Addition and Associative Law of Multiplication   If you need any more help on these, you can look at the first two sections on the page about the commutative and associative laws. Complete the questions 1 through 4 at the bottom of the page.
  3. The Distributive Property  and The Distributive Property 2 and The Distributive Property Exercise  Complete the exercise “Distributive Property.”
  4. CA Algebra I: Number Properties and Absolute Value   Complete the exercise “Finding Absolute Value.”
  5. Complete the exercise “Comparing Absolute Values.”
  6. Identity Property of 1 and Identity property of 1 (second example) and Identity property of 0   Demonstrate with toys and explain the identity property to a younger sibling (or someone).
  7. Inverse Property of Addition and Inverse Property of Multiplication   Can you identify the number property? (Click on review for any you got wrong.)
  8. Why Dividing by Zero is Undefined and Why Zero Divided by Zero is Undefined/Indeterminate and Undefined and Indeterminate  Explain this concept to your mother.
  9. Answer the multiplication and division word problems. (review)
  10. Introduction to Order of Operations and More Complicated Order of Operations Example   Complete the exercise.

Factors and Multiples

  1. Prime Numbers   Read my notes below.
    • A prime number can’t be divided evenly (no remainder) by any number except itself and the number 1. Example: 7/7=1, 7/1=7  You can’t divide 7 evenly by any number other than itself and 1.
    • If it is even, then you can divide it by 2.
    • If it ends in 5, then you can divide it by 5.
    • If you can add up the digits and divide the sum by 3 or 9, then you can divide the whole number by 3 or 9. Example 69: 6 + 9 = 15 You can divide 15 by 3 so you can divide 69 by 3.
  1. Recognizing Prime Numbers   Complete the exercise.
  2. Recognizing Divisibility   Common Divisibility Examples   Complete the exercise “Divisibility Tests.”
  3. Divisibility Intuition   Complete the exercise.
  4. Finding Factors of a Number   Complete the exercise “Divisibility.”
  5. Prime Factorization and Prime Factorization Exercise  Complete the exercise.
  6. Least Common Multiple (LCM)   Do NOT do the exercise on the video page. Complete the exercise “Least Common Multiple.”
  7. Greatest Common Divisor   Do NOT do the exercise on the video page. Complete the exercise “Greatest Common Divisor.”
  8. Complete the “LCM and GCD word problems.” Pause the video. Read the problem and solve. Then watch the solution. Repeat for each problem.
  9. The fundamental theorem of arithmetic   Complete the exercise.

Fractions

  1. Numerator and Denominator of a Fraction   Complete the exercise.
  2. Identifying Fraction Parts   Complete these two exercises.  one  two 
  3. Equivalent fractions   Complete the exercise “Equivalent Fractions.”
  4. Equivalent Fractions Example   Read the page and answer the questions.
  5. Comparing Fractions   Complete the exercise “Equivalent Fractions 2.”
  6. Fractions in lowest terms   Read the page and answer the questions.
  7. Comparing Fractions 2   Complete the exercise.
  8. Ordering Fractions   Complete the exercise. (When I looked at this, it seemed to be having a weird technical issue. Just look at the fraction and ignore and gobbledy gook.)
  9. Proper and Improper Fractions and Mixed numbers and improper fractions   Read about proper and improper fractions as well as mixed numbers. Tell someone what each of those are and when you use them.
  10. Converting Mixed Numbers to Improper Fractions   Answer the questions.
  11. Changing an Improper Fraction to a Mixed Number   Complete the exercise.
  12. Changing a Mixed Number to an Improper Fraction   Complete the exercise “Comparing Fractions 2.”
  13. Comparing improper fractions and mixed numbers   Complete the exercise “Comparing Improper Fractions and Mixed Numbers.”
  14. Adding Fractions with Like Denominators    Complete the exercise.
  15. Subtracting Fractions   Do NOT do the exercise on the video. Complete the exercise “Subtracting Fractions with Common Denominators.”
  16. Read about finding the least common multiple and answer the questions.
  17. Finding Common Denominators   Read the page and answer the questions. Here’s a calculator for finding the least common multiple.
  18. Adding Fractions with Unlike Denominators and Adding fractions (ex 1)   Complete the exercise.
  19. Complete the exercise “Subtracting Fractions.”
  20. Adding and subtracting fractions and Adding fractions with different signs   Complete the exercise.
  21. Complete the exercise, “Fraction Word Problems 1.”
  22. Adding Mixed Numbers and Subtracting Mixed Numbers  and Adding Mixed Numbers with Unlike Denominators  Read the page and answer the questions.
  23. Complete the exercise “Fractions on a Number Line 1.”
  24. Complete the exercise “Fractions on a Number Line 2.”
  25. Complete the exercise “Fractions on a Number Line 3.”
  26. Adding subtracting mixed numbers 0.5 (ex 1) and Adding subtracting mixed numbers 0.5 (ex 2)   Complete the exercise “Adding Subtracting Mixed Numbers 0.5.”
  27. Adding subtracting mixed numbers 1 (ex 1)  and Adding subtracting mixed numbers 1 (ex 2)   Complete the exercise “Adding Subtracting Mixed Numbers 1.”
  28. Adding Mixed Numbers Word Problem and Subtracting Mixed Numbers Word Problem   Complete the exercises: one  two.
  29. Multiplying Fractions   Complete the exercise.
  30. Multiplying Mixed Numbers   Complete the exercise.
  31. Multiplying Fractions and Mixed Numbers  Complete the exercise “Multiplying Fractions.”
  32. Multiplying Fractions Word Problem   Complete the exercise.
  33.  and Dividing Fractions Example   Complete the exercise.
  34. Dividing Fractions Word Problem   Complete the exercise.
  35. Reciprocal of a Mixed Number   Read this lesson and answer the “Your Turn” questions at the bottom of the page.
  36. Dividing Mixed Numbers and Dividing Mixed Numbers and Fractions   Solve: 2 and 4/9 divided by 1 and 1/8. Convert the mixed numbers to improper fractions. Then multiply the first by the reciprocal of the second.

Fractions, Decimals and Percents

  1. Decimal Place Value and Decimal Place Value 2   Complete the exercise “Understanding Decimal Place Value.”
  2. Decimals on a Number Line   Complete the exercise.
  3. Rounding Decimals   Complete the exercise.
  4. Estimation with Decimals   Complete the exercise.
  5. Comparing Decimals   Complete the exercise “Decimals on a Number Line 2.”
  6. Adding Decimals   Complete the exercise.
  7. Complete the exercise “Adding Decimals.”
  8. Complete the exercise “Adding Decimals 2.”
  9. Subtracting Decimals   Complete the exercise.
  10. Complete the exercise “Subtracting Decimals.”
  11. Subtracting Decimals Word Problem   Do NOT do the exercise on the video. Complete the exercise “Adding and Subtracting Decimal Word Problems.“
  12. Multiplying a Decimal by a Power of 10 and Dividing a Decimal by a Power of 10   Complete the exercise.
  13. Multiplying Decimals and Mulitplyling Decimals 3   Complete the exercise.
  14. Dividing Decimals 2.1   Complete the exercise “Dividing Decimals 0.5.”
  15. Dividing decimal   Complete the exercise.
  16. Dividing Decimals   Complete the exercise “Dividing Decimals.”
  17. Decimals and Fractions and Converting Fractions to Decimals Example   Complete the exercise.
  18. Converting fractions to decimals (ex1) and Converting fractions to decimals (ex2)   Go to this lesson and complete the “Your Turn” questions at the bottom of the page.
  19. Converting decimals to fractions 1 (ex 1) and Converting decimals to fractions 1 (ex 2) and Converting decimals to fractions 1 (ex 3) and Converting decimals to fractions 2 (ex 1) and Converting decimals to fractions 2 (ex 2)   Go to this lesson and complete the “Your Turn” questions at the bottom of the page.
  20. Converting Repeating Decimals to Fractions 1   Complete the exercise.
  21. Converting Repeating Decimals to Fractions 2   Complete the exercise “Converting Decimals to Fractions 2.”
  22. Describing the Meaning of Percent and Describing the Meaning of Percent 2   Do NOT do the exercise on the videos. Go to this lesson and answer the “Your Turn” review questions at the bottom of the page.
  23. Ordering numeric expressions   Go to the video. Then read about ordering decimals and complete the “Your Turn” exercises.
  24. Representing a number as a decimal, percent, and fraction and Representing a number as a decimal, percent, and fraction 2  Complete the exercise.
  25. Points on a number line   Go to the video and complete the exercise.
  26. Converting decimals to percents (ex 1) and Converting decimals to percents (ex 2)   Complete the exercise “Converting Decimals to Percents.”
  27. Read this lesson. Complete the exercise “Converting Percents to Decimals.”
  28. Identifying Percent Amount and Base    Read this lesson and answer the “Your Turn” questions.
  29. Solving Percent Problems and Solving Percent Problems 2  Complete the exercise.
  30. Solving Percent Problems 3 and Growing by a percentage   Complete the exercise.

Ratios and Proportions

  1. Introduction to Ratios  Read through the page and answer the questions.
  2. Ratios as Fractions in Simplest Form  Complete this review exercise of “Simplifying Fractions.”
  3. Simplifying Rates and Ratios   Complete the exercise.
  4. Complete the ratio word problems.
  5. Understanding Proportions  Read this lesson, finding an unknown in a proportion. Answer the questions.
  6. Remember that you are supposed to work on each lesson until you are proficient, until you get it. Don’t move on if you are stuck. Give it another try the next day.
  7. Finding an unknown in a proportion   Complete the exercise.
  8. Finding Unit Rates and Finding Unit Prices   Complete the exercise on units.
  9. Take a notepad to the grocery store. Write the price and unit price as well as the measurements (eg. 4 ounces) for five different products. You’ll find the info on the tag. The unit price is written small. At home see if you can take the product price and come up with the same unit price as the store.
  10. Unit conversion  Read the page on converting units and answer the questions.
  11. Converting units of length   Read the page and answer the questions.
  12. Measure something in centimeters and inches. Write them as a proportion. Measure something just in inches and use the proportion to figure out what the measurement is in centimeters. Now measure it in centimeters and see if you were right. If you don’t know what U.S. Customary and Metric units are then watch this.
  13. Conversion between metric units and Converting within the metric system   Make a chart for milliliters, liters, kiloliters; millimeters, centimeters, meters and kilometers; milligrams, grams, kilograms. Your chart should show how many of each are in the other.
  14. Converting Gallons to quarts pints and cups   Make a chart for gallons, quarts, pints and cups that shows how many are in each other.
  15. Converting pounds to ounces   Find out how much you weighed when you were born. Figure out how much you weighed in ounces.
  16. Comparing Celsius and Fahrenheit temperature scales   0 (zero) degrees Celsius is the same temperature as 32 degrees Fahrenheit. 100 degrees Celsius is the same temperature as 212 degrees Fahrenheit. Can you figure out how to get from one to the other? After you’ve thought about it, find the formula online or on the video. Plug in 0 and 100 and see if you get 32 and 212.
  17. Converting Farenheit to Celsius   Take today’s temperature in Fahrenheit and figure out today’s temperature in Celsius.

Exponents

  1. Understanding Exponents and Raising Numbers to the 1st and 0th Power   Complete the exercise.
  2. Patterns in Zeros   Complete the exercise.
  3. Exponent Rules Part 1 and Exponent Rules Part 2 and Exponents involving Quotients   Complete the exercise.
  4. Understanding Square Roots   Complete the exercise.