Mathematics
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September
Order of operations Integers Exponents Prime Numbers Greatest Common Factor (GCF) Lowest Common Multiple (LCM) |
October
Algebra Patterning Negative exponents Expanded form (e.g. 220 = 2 X 100 + 2 x 10 + 0 x 1) Scientific Notation (e.g. 2.4 x 10) |
October/November
Simplifying expressions Solving one-variable algebraic equations Solving one-variable algebraic word problems November/ December Area of a circle Volume of cylinders |
January
Measuring angles and triangles February Data Management Histograms Stem and Leaf Plots Bar Graphs Line Graphs Circle Graphs Bias Scatterplots Mean, Mode and Media |
March/April
Fractions Percents Decimals Rates Ratios Algebra 2.0 |
April/May
Cartesian graphing Transformations Patterning (nth term) |
June
Probability |
Math resources
Probability
Conditional and unconditional events
https://www.mathsisfun.com/data/probability-events-conditional.html
Patterning
| patterning_practice_work.docx |
Graphs and Transformations
Fraction, Percents, Decimals, Ratios, Rates and Algebra 2.0 Unit
| using_models_to_multiply_fractions.pdf |
| using_models_to_divide_fractions.pdf |
| fractions_and_decimals.pdf |
| calculating_percents.pdf |
| percent_word_problems.pdf |
| ratio_and_rates.pdf |
| ratio_word_problems.png |
| practice_fraction_test_1.docx |
Fraction word problems
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Multiplying fractions -- area model
Fractions multiplying using the area model
http://www.learner.org/courses/learningmath/number/session9/part_a/index.html
Divison of fractions explanation
http://www.learner.org/courses/learningmath/number/session9/part_a/index.html
Divison of fractions explanation
Graphs and Measures of Central Tendency (Mean, Median and Mode)
Angles
Volume Practice Test
| volume_practice_test.docx |
Circle Area
Algebra Word Problems -- Practise these problems - Many of these types of problems will be on our algebra tests
1. The sum of two consecutive odd integers is between 84 and 184. What are the possible values for the set of integers?
2. Three-sixths of a number equals 1,746. What is the number?
3. It takes Austin 1 hour and 3 minutes to cut the grass. Samuel needs 3 hours and 32 minutes to cut the grass. If they work together, how long will it take them to cut the grass?
4. A number a is seven times the value of number b. A number e is six times the value of number b. The sum of a, e, and b is 350. What is the value of a?
5. Amanda is six years younger than William. William is seven years younger than Jacob. Amanda is thirteen years younger than Jacob. The sum of all three ages is nineteen more than three times the age of Amanda. How old is William?
6. Morgan and Cameron are working together on solving math problems. For every two problems that Morgan completes, Cameron completes three. If the number of problems solved by Cameron is fourteen less than two times the number of problems solved by Morgan, how many problems has Cameron solved?
7. The sum of the ages of Connor and Destiny is forty-one. Destiny is thirteen years older than Connor. How old is Destiny?
8. If Courtney were eight years younger, she would be four times the age of Brian. If Courtney were three years older, she would be five times the age of Brian. How old is Brian?
9. Five less than 6 times a number is 31. What is the number?
10. Caleb's pennies and quarters total $19.52. If the pennies were replaced by nickels then he would have $20.60. How many of each coin does he have?
11. The length of a rectangle is eight feet more than its width. The area of the rectangle is five hundred thirteen square feet. What are the dimensions of the rectangle?
12. Nicole left New York and drove at a speed of 50 kph. Brianna left 2 hours later and drove at a speed of 75 kph. How long will it take Brianna to catch up with Nicole?
13. If Jordan were four years younger, he would be four times the age of Hannah. If Jordan were two years older, he would be five times the age of Hannah. How old is Hannah?
14. Katherine drew a rectangle which is 99 square mm. Sierra drew a rectangle inside of Katherine's which is 15 square mm. Sierra's rectangle has a three mm border between her and Katherine's rectangle. What are the area and perimeter of Katherine's rectangle?
15. The length of a rectangle is twenty-three feet less than two times the width of the rectangle. If the length of the rectangle were increased by 100 feet then the length of the rectangle would be twenty-three feet less than four times the width. What is the area of the rectangle?
16. The sum of three consecutive odd integers is 207. What is the third number?
17. The tickets to a concert cost $12.20 for the lower level and $5.75 for the upper level. A total of 10,900 tickets were sold for a total amount of $100,085. How many upper level tickets were sold?
18. Ninety-six more than five times a number is less than four times the number. What numbers satisfy this inequality?
19. Twenty-three exceeds one-ninth of a number by 9. What is the number?
20. The sum of five consecutive odd integers is -17,326,205. What is the first number?
21. David's basketball team scored thirty-seven less than two times the number of points that Samuel's team scored. The sum of both teams' final points was 110. How many points did each team score?
22. One hundred thirty-two less than four times Tyler's age is two hundred fifty-two less than seven times his age. How old is Tyler?
23. The measure of two adjacent angles forms an angle of 159. The measure of the smaller angle is three degrees more than one-third the measure of the larger angle. What are the measures of the two angles?
24. Natalie drove 33 kilometers at a constant rate of speed. If she had driven 5 kph slower, she would have traveled the same distance for 3 minutes more. How fast did she drive?
25. Benjamin drew a rectangle which is 176 square mm. Hannah drew a rectangle inside of Benjamin's which is 84 square mm. Hannah's rectangle has a two mm border between her and Benjamin's rectangle. What are the area and perimeter of Benjamin's rectangle?
26. The sum of two numbers is 265.28. Their difference is 144.82. What are the numbers?
27. The value of a mix of Noah's nickels and quarters is $6.65. If the quarters were replaced by pennies, the value would be $1.12. How many of each coin does he have?
28. Sean leases cars for $49 per month plus three cents per mile the car is driven up to 149 miles and thirteen cents per mile over 149 miles. Ryan wants a car but does not want to spend more than $70.11 per month. How many miles can he drive, if he leases a car from Sean?
29. The sum of two consecutive positive integers is less than one hundred thirty-three. What pair of numbers has the greatest sum?
30. Nicole pays three cents per minute for calls on her cell phone made during the weekend. For calls during the week, Nicole pays eighteen cents per minute. This month, Nicole's phone bill was $20.10. She paid for four hundred twenty minutes. How many minutes did Nicole use her cell phone during the week (non-weekend calls)?
31. Katherine booked EdHelper Airlines flight O4775 from Atlanta to Pittsburgh. The flight departs at 9:23 a.m. EdHelper Airlines frequent flyer program gives 2 miles for each mile flown on this flight. Since Katherine purchased the ticket on-line, Katherine will also receive five hundred bonus miles. Katherine will earn a total of 1900 miles for this flight. The plane is set to arrive at 12:11 p.m. What speed should the plane average for the plane to arrive on time?
32. Isaac was born 6 and two-third years after Christian. The sum of their ages is 65 and two-third years. How old is Christian?
33. Megan's investment of 100 shares of ZYJ has lost 20% of its value this year. The investment is now worth $800. How much was the original per share cost that Megan paid for ZYJ?
34. Anna and Nicholas can finish a piece of work in 12 days. Anna can do the job herself in sixteen days. If Nicholas wanted to do the job alone, how long would it take him?
35. If the larger of two numbers were decreased by three hundred thirty-two, then the two numbers would be the same. The sum of the two numbers is 582. What are the numbers?
36. In triangle EQL, the measure of L is two hundred fifty-four degrees less than two times the measure of Q. The measure of E is three hundred ten degrees less than four times the measure of L. The measure of L is two hundred thirty-six degrees less than three times the measure of E. What is the measure of each angle in triangle EQL?
37. 17.78 more than 4 times a number is 68.58. What is the number?
38. Mavis has a total of thirty dimes and nickels. She has fourteen more nickels than dimes. How many of each coin does she have?
1. The sum of two consecutive odd integers is between 84 and 184. What are the possible values for the set of integers?
2. Three-sixths of a number equals 1,746. What is the number?
3. It takes Austin 1 hour and 3 minutes to cut the grass. Samuel needs 3 hours and 32 minutes to cut the grass. If they work together, how long will it take them to cut the grass?
4. A number a is seven times the value of number b. A number e is six times the value of number b. The sum of a, e, and b is 350. What is the value of a?
5. Amanda is six years younger than William. William is seven years younger than Jacob. Amanda is thirteen years younger than Jacob. The sum of all three ages is nineteen more than three times the age of Amanda. How old is William?
6. Morgan and Cameron are working together on solving math problems. For every two problems that Morgan completes, Cameron completes three. If the number of problems solved by Cameron is fourteen less than two times the number of problems solved by Morgan, how many problems has Cameron solved?
7. The sum of the ages of Connor and Destiny is forty-one. Destiny is thirteen years older than Connor. How old is Destiny?
8. If Courtney were eight years younger, she would be four times the age of Brian. If Courtney were three years older, she would be five times the age of Brian. How old is Brian?
9. Five less than 6 times a number is 31. What is the number?
10. Caleb's pennies and quarters total $19.52. If the pennies were replaced by nickels then he would have $20.60. How many of each coin does he have?
11. The length of a rectangle is eight feet more than its width. The area of the rectangle is five hundred thirteen square feet. What are the dimensions of the rectangle?
12. Nicole left New York and drove at a speed of 50 kph. Brianna left 2 hours later and drove at a speed of 75 kph. How long will it take Brianna to catch up with Nicole?
13. If Jordan were four years younger, he would be four times the age of Hannah. If Jordan were two years older, he would be five times the age of Hannah. How old is Hannah?
14. Katherine drew a rectangle which is 99 square mm. Sierra drew a rectangle inside of Katherine's which is 15 square mm. Sierra's rectangle has a three mm border between her and Katherine's rectangle. What are the area and perimeter of Katherine's rectangle?
15. The length of a rectangle is twenty-three feet less than two times the width of the rectangle. If the length of the rectangle were increased by 100 feet then the length of the rectangle would be twenty-three feet less than four times the width. What is the area of the rectangle?
16. The sum of three consecutive odd integers is 207. What is the third number?
17. The tickets to a concert cost $12.20 for the lower level and $5.75 for the upper level. A total of 10,900 tickets were sold for a total amount of $100,085. How many upper level tickets were sold?
18. Ninety-six more than five times a number is less than four times the number. What numbers satisfy this inequality?
19. Twenty-three exceeds one-ninth of a number by 9. What is the number?
20. The sum of five consecutive odd integers is -17,326,205. What is the first number?
21. David's basketball team scored thirty-seven less than two times the number of points that Samuel's team scored. The sum of both teams' final points was 110. How many points did each team score?
22. One hundred thirty-two less than four times Tyler's age is two hundred fifty-two less than seven times his age. How old is Tyler?
23. The measure of two adjacent angles forms an angle of 159. The measure of the smaller angle is three degrees more than one-third the measure of the larger angle. What are the measures of the two angles?
24. Natalie drove 33 kilometers at a constant rate of speed. If she had driven 5 kph slower, she would have traveled the same distance for 3 minutes more. How fast did she drive?
25. Benjamin drew a rectangle which is 176 square mm. Hannah drew a rectangle inside of Benjamin's which is 84 square mm. Hannah's rectangle has a two mm border between her and Benjamin's rectangle. What are the area and perimeter of Benjamin's rectangle?
26. The sum of two numbers is 265.28. Their difference is 144.82. What are the numbers?
27. The value of a mix of Noah's nickels and quarters is $6.65. If the quarters were replaced by pennies, the value would be $1.12. How many of each coin does he have?
28. Sean leases cars for $49 per month plus three cents per mile the car is driven up to 149 miles and thirteen cents per mile over 149 miles. Ryan wants a car but does not want to spend more than $70.11 per month. How many miles can he drive, if he leases a car from Sean?
29. The sum of two consecutive positive integers is less than one hundred thirty-three. What pair of numbers has the greatest sum?
30. Nicole pays three cents per minute for calls on her cell phone made during the weekend. For calls during the week, Nicole pays eighteen cents per minute. This month, Nicole's phone bill was $20.10. She paid for four hundred twenty minutes. How many minutes did Nicole use her cell phone during the week (non-weekend calls)?
31. Katherine booked EdHelper Airlines flight O4775 from Atlanta to Pittsburgh. The flight departs at 9:23 a.m. EdHelper Airlines frequent flyer program gives 2 miles for each mile flown on this flight. Since Katherine purchased the ticket on-line, Katherine will also receive five hundred bonus miles. Katherine will earn a total of 1900 miles for this flight. The plane is set to arrive at 12:11 p.m. What speed should the plane average for the plane to arrive on time?
32. Isaac was born 6 and two-third years after Christian. The sum of their ages is 65 and two-third years. How old is Christian?
33. Megan's investment of 100 shares of ZYJ has lost 20% of its value this year. The investment is now worth $800. How much was the original per share cost that Megan paid for ZYJ?
34. Anna and Nicholas can finish a piece of work in 12 days. Anna can do the job herself in sixteen days. If Nicholas wanted to do the job alone, how long would it take him?
35. If the larger of two numbers were decreased by three hundred thirty-two, then the two numbers would be the same. The sum of the two numbers is 582. What are the numbers?
36. In triangle EQL, the measure of L is two hundred fifty-four degrees less than two times the measure of Q. The measure of E is three hundred ten degrees less than four times the measure of L. The measure of L is two hundred thirty-six degrees less than three times the measure of E. What is the measure of each angle in triangle EQL?
37. 17.78 more than 4 times a number is 68.58. What is the number?
38. Mavis has a total of thirty dimes and nickels. She has fourteen more nickels than dimes. How many of each coin does she have?
| algebra_word_problems_2014.docx |
Algebra - simplifying expressions
Algebra - word problems with one variable (coin problem)
Oct. 9 homework
Questions: 7 - 15 and 25 -26 and 29-32
Oct. 10 homework
Oct. 14 Homework
Oct. 15 Homework
Oct. 17 Homework
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Oct. 20 Homework
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Oct. 1st homework question (is this true?) Show how you know.
Homework
See if these equations are correct and make one of your own that equals 6 using only these integers: (-6), (-5), 3, 2, 10, (-4)
6 = (-6)+(-6)-(-5)-(-6)
6= ((-5)3-(-4)+10+2)3
6= 10+(-4)-(-5)x2x2+(-6)/2-3-10-(-5)
6 = (-6)(((-5)(2+3)2)-(-4))/10+(-5)-(-4)+2x3x2
First question should read - Use brackets to make true if the equation is not true.
Questions 2-4 you are to solve.
See if these equations are correct and make one of your own that equals 6 using only these integers: (-6), (-5), 3, 2, 10, (-4)
6 = (-6)+(-6)-(-5)-(-6)
6= ((-5)3-(-4)+10+2)3
6= 10+(-4)-(-5)x2x2+(-6)/2-3-10-(-5)
6 = (-6)(((-5)(2+3)2)-(-4))/10+(-5)-(-4)+2x3x2
First question should read - Use brackets to make true if the equation is not true.
Questions 2-4 you are to solve.
Exponent video
Negative integers and brackets: -2 vs. (-2)
Why a number to the power of zero equals one
Adding integers using counters
Multiplying and dividing integers
