*Check for new assignments below.
Finished assignments can be emailed to me as a word document, or you can also take a picture of your work and email it to me at [email protected]
Thanks to everyone who has been sending in their assignments to me.😊
Math Questions Part 1 - 4 due Friday, May 22nd
Math Questions Part 5- 6 due Friday, May 29th
Math Questions Part 7 due Wednesday, June 3rd
Math Questions Balancing Equations Part 1 - 3 due Wednesday, June 10th
Order of Operations Questions (Part 1-2) due Monday, June 15th
Input/output Machine and Pattern Explanation(Part #1)
- The machine tells you what to do with the input
- The input is any number you put into the machine.
- Output is the number you get coming out of the machine.
For example look at the machine below:
- The machine tells you what to do with the input
- The input is any number you put into the machine.
- Output is the number you get coming out of the machine.
For example look at the machine below:
Questions ( Part #1)
Just one thing to note - the question that says write the pattern rule that relates the input to the output, that just means what does the rule in the machine tell you to do?
So if you looked at the example question above the answer would be... the pattern rule that relates the input to the output is x5
Input/output Machine and Pattern Explanation(Part #2)
- These questions are the same as in part one, except now you follow a two step rule. So in question 2a) you take the input and multiply it by 6, then you add 1 to get the output.
Questions Part #2
Questions (Part #3)
Questions (Part #3)
Questions (Part #4)
- Each table shows the input and output from a machine with one operation. For each table you need to:
1. Identify the number and the operation in the machine. ( Remember to make a number bigger- you need to add or multiply
to make a number smaller - you need to subtract or divide)
2. Continue the pattern by writing the next 4 input and output numbers.
3. Write the pattern rule for the input.
4. Write the pattern rule for the output.
5. Write the pattern rule that relates the input to the output.
I will do question 1a) as an example, you need to do the same for questions b, c, and d.
Questions (Part #5)
- Each table shows the input and output from a machine with two operations. For each table you need to:
1. Identify the number and the operation in the machine. ( Remember to make a number bigger- you need to add or multiply
to make a number smaller - you need to subtract or divide)
2. Continue the pattern by writing the next 4 input and output numbers.
3. Write the pattern rule for the input.
4. Write the pattern rule for the output.
5. Write the pattern rule that relates the input to the output.
I will do question 2a) as an example, you need to do the same for questions b, c, and d.
Questions (Part 6)
For each chart below:
1. Find the pattern rule that relates the input to the output ( Which mean the rule for the machine)
2.Use the pattern rule to find the missing numbers in the table.
3. Write down the input rule.
4. Write down the output rule.
5. Predict the output when the input is 40.
(Part 7) Using Variables to Describe Patterns
Everything else is the same, the only difference is you are going to use a letter to represent the input number when you are writing the pattern rule that relates the input to the output. So if the rule is x3 + 2, you would write 3n + 2, which means the rule is 3 times the input plus 2 equals the output.
Everything else is the same, the only difference is you are going to use a letter to represent the input number when you are writing the pattern rule that relates the input to the output. So if the rule is x3 + 2, you would write 3n + 2, which means the rule is 3 times the input plus 2 equals the output.
Questions( Part 7)
For the questions below:
1. Find the input rule
2. Find the output rule
3. Find the pattern rule that relates the input to the output.
4. Write the expression that relates the input to the output. (This is the new step where you use a letter to represent the input.)
For the questions below:
1. Find the input rule
2. Find the output rule
3. Find the pattern rule that relates the input to the output.
4. Write the expression that relates the input to the output. (This is the new step where you use a letter to represent the input.)
Balancing Equations (Part 1)
Suppose you were using real balance scales, which of the scales below would balance? If not what could you do to balance the scales?
Example Question
On the left side: 3 x 6 = 18
On the right side 15-2 = 13
1. This scale does not balance because both sides are not equal.
2. To make the scale balance you can take 5 away from the side with 18, or you can add 5 to the side with 13.
Answer the questions below using the same format:
On the right side 15-2 = 13
1. This scale does not balance because both sides are not equal.
2. To make the scale balance you can take 5 away from the side with 18, or you can add 5 to the side with 13.
Answer the questions below using the same format:
Balancing Equations(Part 2)
Balancing Equations(Part 3)
Example Question
9+6 = 10 - 2
1. Is the equation balanced?
2. If your answer is no, what could you do to balance the equation?
3. Write an expression to show your work.
Answers:
1. No, the equation is not balanced because the left side equals 15 and the right side equals 8
2. You could balance the equation by adding 7 to the right side or you could subtract 7 from the left side.
3.If you add 7 to the right side the expression would be be 9+6=10-2+7
If you subtract 7 from the left side the expression would be 9+6-7 = 10-2
(You can see how for both examples, the equation is rewritten exactly the same, the only part that changes in the equations is the part you add or subtract.)
Answer the three questions below, using the same format I provided in the example.
1. 14 - 8 = 6 + 5
2. 5x5 = 16 + 4
3. 10 ÷5 = 9-7
9+6 = 10 - 2
1. Is the equation balanced?
2. If your answer is no, what could you do to balance the equation?
3. Write an expression to show your work.
Answers:
1. No, the equation is not balanced because the left side equals 15 and the right side equals 8
2. You could balance the equation by adding 7 to the right side or you could subtract 7 from the left side.
3.If you add 7 to the right side the expression would be be 9+6=10-2+7
If you subtract 7 from the left side the expression would be 9+6-7 = 10-2
(You can see how for both examples, the equation is rewritten exactly the same, the only part that changes in the equations is the part you add or subtract.)
Answer the three questions below, using the same format I provided in the example.
1. 14 - 8 = 6 + 5
2. 5x5 = 16 + 4
3. 10 ÷5 = 9-7
Order of Operations
- Anytime you have more than one operation in an expression, you need to follow the order of operations to solve the question correctly. For example a question like: 8x (5+5) +6
The rules are:
1. Do the operation in brackets first
2. Multiply and divide, in order from left to right
3. Add and subtract, in order from left to right
Click here www.youtube.com/watch?v=dAgfnK528RA to watch a detailed explaination. (Only difference is in grade 6 we do not do exponents, so we skip that step because our questions do not have exponents in them.)
Order of Operation Questions(Part1) - Follow the order of operations to solve each question.
Order of Operations Questions (Part 2) - Follow the order of operations to solve each question.
Mathlethics
Complete assignments on Mathlethics. If you forgot your user id and password, you can email me at [email protected] and I will provide it for you.
Click here for Mathlethics students.mathlethics.com
* New Assignments have been added May 11th
Knowledgehook
Knowledgehook is a new math site for you to check out.
Click here for Knowledgehook * New Assignments have been added May 27th
6-2 your login code is yam5954
6-3 your login code is van 2999
Knowledgehook Game Show Information
If you have not played a game show before you need to:
1. Log into Knowledghook
2. Accept the invitation to play and enter your classroom code
3. Wait for the questions to pop up on your screen, the more questions you answer correctly, the more points you get!
Knowledgehook is a new math site for you to check out.
Click here for Knowledgehook * New Assignments have been added May 27th
6-2 your login code is yam5954
6-3 your login code is van 2999
Knowledgehook Game Show Information
If you have not played a game show before you need to:
1. Log into Knowledghook
2. Accept the invitation to play and enter your classroom code
3. Wait for the questions to pop up on your screen, the more questions you answer correctly, the more points you get!