On the front of your foldable list all exponent laws in equally spaced boxes.
Continue these boxes on the inside of your foldable.
On the back of your foldable leave space for the chapter important words.
Leave space for a book definition, a definition in your own words and an example for each word.
Laws:
Product Law
Quotient Law
Power of a Power Law
Power of a Product Law
Power of a Quotient Law
Exponent Law of 1
Negative Exponent Law
Base of 1 Law
Important Words:
power
base
exponent
exponential form
coefficient
Also do Mangahigh and try to learn from these tutorials what some of the laws are.
Have a great break and a Merry Christmas! and a Happy New Year!!
Chapter 1 Reflection
THINKING ABOUT THINKING
Reflect on Chapter 1 learning outcomes.
Look at page 6, 11; 16, 20; 26 and 31 Focus On and Key Ideas
Tell what learning you did for each section using explanations, diagrams, procedures, meaning of concepts and any relationships you have found.
Explain what things were new to you and how you have grown as a math learner.
What is still bothering you about the unit? In other words, what things did you have difficulty with or are still "fuzzy" about? How do you plan on getting the answers you need?
Explain a concept you are understand and are proud of in this unit.
Explain a concept you had to problem solve and reason about.
Explain how this unit connected to real life for you.
Think about you as a learner… what work did you need to spend more time on? What work is still incomplete? Have you lived up to the goal you set for yourself in your last journal entry to me?
If you have set a goal, do you need to change it? If so do so now. Or recommit yourself to your goal.
If you haven’t set a goal, do so now.
Elegant Algebraic Equations for 3D prisms
Shape Formula
Cube A = 6s2 Where s is a side length.
Rectangular Prism A = 2B + Ph
Where B is the area of the base, P is the perimeter of the base and
h is the height.
h is the height.
A = 2(lw + lh + wh)
Where l is the length, w is the width,
and h is the height.
and h is the height.
Pyramid A = 4[(bh)/2] + lw
Where b is the base length, h is the height of the triangle (the slant
height), l is the length of the base, and w is the width of the base.
A = B + ½(Ph)
Where B is the area of the base, P is the perimeter of the base,
and h is the height of the triangle (the slant height).
and h is the height of the triangle (the slant height).
Isosceles triangular prism A = 2[(b1h1)/2] + 2[(b2h2)/2] + B
Where b1 and h1 is the base and height related to the triangle,
b2 and h2 is the base and height related to the rectangles,
and B is the area of the base.
and B is the area of the base.
Cylinder A = 2πr2 + (2πr)h
A = 2πr(r + h)
Where r is the radius of the circle.
Where B is found by finding the area of the base (length x width),
and P is the sum of all sides of the base.
Homework for Section 1.3
This section is the more difficult section of this unit. It is very important that you spend time time doing many questions in this section. It would help to do all of the questions in the book but you should be able to grasp the concepts by doing the following
Read the pages that explain the work on pages 26-31. Make sure you understand the KEY CONCEPTS
Do all the Show You Knows on these pages.
Do question 2 and 3 in the Check Your Understanding
Do questions 5, 6, 7 and 9 in Practise
Do questions 10, 13, 14, 15, 16, 17, 18 and 19 in Apply
Do questions 22 and 23 in Extend and have an understanding about questions 21 and 20.
The next test will be more difficult than your test. We will probably include some form of translation, reflection or rotation on the test as well.
If you get stuck do not hesitate to ask for help.....
Do not forget your Journals are due tomorrow.
Read the pages that explain the work on pages 26-31. Make sure you understand the KEY CONCEPTS
Do all the Show You Knows on these pages.
Do question 2 and 3 in the Check Your Understanding
Do questions 5, 6, 7 and 9 in Practise
Do questions 10, 13, 14, 15, 16, 17, 18 and 19 in Apply
Do questions 22 and 23 in Extend and have an understanding about questions 21 and 20.
The next test will be more difficult than your test. We will probably include some form of translation, reflection or rotation on the test as well.
If you get stuck do not hesitate to ask for help.....
Do not forget your Journals are due tomorrow.
Homework for Unit 1 and Journal Reflection Work
Section 1.1 Line Symmetry
Read from page 6 to page 11 Do all Show You Knows in this section.
Practise Do odd number or even numbers
Apply do any 7
Extend do any 3
Section 1.2 Rotational Symmetry
Read from page 16 to page 20. Do all Show You Knows in this section.
Practise Do odd or even numbers
Apply do any 9
Extend do number 24 and do number 26.
Mangahigh work
Journal Work
Unit One Reflection
Write a letter to me (and to yourself) that describes and summarises your learning in the last section of math. Tell me about the changes in your understanding, attitudes, and achievements, using examples from your work, which would include your notebooks (homework), journal, foldables and tests.
The letter should include:
-explanations, diagrams, meanings of concepts, procedures and relationships
-any questions or thoughts and or concepts that are unclear to you
-reflect on working with and sharing your ideas with your peers in a small group and in the whole class
-your feelings and ideas about expressing your thoughts clearly
-an explanation of some of the problem solving and reasoning that you did
-make connections between what you learned and how you use it in real life
- identify work that is incomplete, needs revision or you do not understand
Write a goal for this coming term. What would you like to improve upon? How will you achieve this goal?
When you do this assignment please spend some time thinking about you as a math learner.
Read from page 6 to page 11 Do all Show You Knows in this section.
Practise Do odd number or even numbers
Apply do any 7
Extend do any 3
Section 1.2 Rotational Symmetry
Read from page 16 to page 20. Do all Show You Knows in this section.
Practise Do odd or even numbers
Apply do any 9
Extend do number 24 and do number 26.
Mangahigh work
Journal Work
Unit One Reflection
Write a letter to me (and to yourself) that describes and summarises your learning in the last section of math. Tell me about the changes in your understanding, attitudes, and achievements, using examples from your work, which would include your notebooks (homework), journal, foldables and tests.
The letter should include:
-explanations, diagrams, meanings of concepts, procedures and relationships
-any questions or thoughts and or concepts that are unclear to you
-reflect on working with and sharing your ideas with your peers in a small group and in the whole class
-your feelings and ideas about expressing your thoughts clearly
-an explanation of some of the problem solving and reasoning that you did
-make connections between what you learned and how you use it in real life
- identify work that is incomplete, needs revision or you do not understand
Write a goal for this coming term. What would you like to improve upon? How will you achieve this goal?
When you do this assignment please spend some time thinking about you as a math learner.
Test Homework
Do #1-4, 7, 11, 12, 16, 17, 18, 19, 22, 24 and 25 Questions like 24 AND 25 ARE ON THE TEST pp. 82 and 83
Do #8, 14, 15, 16, 18, 19 and 20 Questions like #8 and 18 are also on the test. pp. 84 and 85
Do #8, 14, 15, 16, 18, 19 and 20 Questions like #8 and 18 are also on the test. pp. 84 and 85
Section 2.4 Homework and homework for the weekend
Here is your homework for section 2.4 Sorry I didn't get it up last night.
Textbook: Read, pg 72-77
Do Practise: 6,7,9,10,11,13,14
Apply: 15,16,17,18,19,20,22,24,25,27,28,30,31
Extend Any 2 plus 36 Don't forget assigned blog question. Test on Thursday Unit Test Weekend homework in journal answer both "Is This Always True?" sheets. I will collect journals on Monday. Remeber to give arguments about your reasoning. Prove what you know.
Textbook: Read, pg 72-77
Do Practise: 6,7,9,10,11,13,14
Apply: 15,16,17,18,19,20,22,24,25,27,28,30,31
Extend Any 2 plus 36 Don't forget assigned blog question. Test on Thursday Unit Test Weekend homework in journal answer both "Is This Always True?" sheets. I will collect journals on Monday. Remeber to give arguments about your reasoning. Prove what you know.
November 5 Homework
Barn door assignment for rationals in decimal form. Due on Friday November 9th.
Also Textbook work for 2.3 Practice do either odd or even
Apply 11 or 12, 13 or 14 15 16 or 17 18 19 or 20 21, 22, 25, 26, 27
Check blog for mistakes in your post. Still waiting for a few people to blog.
Also Textbook work for 2.3 Practice do either odd or even
Apply 11 or 12, 13 or 14 15 16 or 17 18 19 or 20 21, 22, 25, 26, 27
Check blog for mistakes in your post. Still waiting for a few people to blog.
Hello 2012-2013 Students
If you are here it is because you are curious what this has to offer. Please check out the links in the links section.
Homework for this unit up until November 1st and due on Monday November 5th. Extra Practice sheets 2.1, 2.2, 2.3
Worksheets 2.2, 2.3, 2.4, 2.5
Textbook Section 2.1 and 2.2 and some of you have work in 2.3 to do for the blog.
One blog question for word problems. Make sure you do a GREAT job. See you all on Monday.
Homework for this unit up until November 1st and due on Monday November 5th. Extra Practice sheets 2.1, 2.2, 2.3
Worksheets 2.2, 2.3, 2.4, 2.5
Textbook Section 2.1 and 2.2 and some of you have work in 2.3 to do for the blog.
One blog question for word problems. Make sure you do a GREAT job. See you all on Monday.
Chapter 3 Stash It 2011
Hello again my lovelies. Here is your chapter 3 stash it assignment. You will need to use your 11 x 17 yellow papers to show all of the exponent laws. Make sure you have all of the following laws: product law, quotient law, power of a power law, power of a product, power of a quotient law, power of zero law, power of one law, base of one law.
For each law show an algebraic expression describing the law, write the "rule" for the law and show an example of the law. Include a word problem if applicable. (10 marks)
Your self assessment will show that you can do all the work that is not included in the "rules" sheet. They will include things like: I can evaluate powers that include or do not include parantheses; I can identify the error in a simplification of an expression (from the textbook); I can use the order of operations on expressions with powers; I can apply the laws of exponents; I can determine the sum of powers; i can determine the difference of two powers; I can identify the error in applying the order of operations in an incorrect solution; I can solve problems taht require combining powers; and I can use powers to solve problems that involve repeated multiplication. (5 marks)
Also include in the stash it your journal that is up to date. In your journal highlite a best journal entry. Tell me why you think it is a best journal entry. (4 marks)
Include also tests: Unit Two Final Test, Unit Three Final Test make sure they are signed by a parent.(1 marks)
This Stash It is due on December 12.
For each law show an algebraic expression describing the law, write the "rule" for the law and show an example of the law. Include a word problem if applicable. (10 marks)
Your self assessment will show that you can do all the work that is not included in the "rules" sheet. They will include things like: I can evaluate powers that include or do not include parantheses; I can identify the error in a simplification of an expression (from the textbook); I can use the order of operations on expressions with powers; I can apply the laws of exponents; I can determine the sum of powers; i can determine the difference of two powers; I can identify the error in applying the order of operations in an incorrect solution; I can solve problems taht require combining powers; and I can use powers to solve problems that involve repeated multiplication. (5 marks)
Also include in the stash it your journal that is up to date. In your journal highlite a best journal entry. Tell me why you think it is a best journal entry. (4 marks)
Include also tests: Unit Two Final Test, Unit Three Final Test make sure they are signed by a parent.(1 marks)
This Stash It is due on December 12.
Chapter 2 Stash It Assignment
Chapter 2 Stash It Assignment 2011
In this chapter we worked with rational numbers. For your assignment you will have completed the following:
Blogged 2 questions.
Commented on at least 8 other questions. (4 marks)
Complete a Venn diagram showing our Real number system with definitions of each kind of number, its abbreviation, and examples. (4 marks)
Self assessment Stop Light Activity with examples to show that you know.
For Stop Light 2.2: “I can perform operations on rational numbers in decimal form.” You must show one of each of the following operations: +, -, ×, ÷
Each of the operations must demonstrate knowledge of using positives and negatives. (4 marks)
For Stop Light 2.2: “I can perform operations on rational numbers in fraction form.” You must show one of each of the following operations: +, -, ×, ÷
Each of the operations must demonstrate knowledge of using positives and negatives, and how to convert between mixed and improper fractions. (4 marks)
Problems of the Week question 3 and 4. (4 marks)
In this chapter we worked with rational numbers. For your assignment you will have completed the following:
Blogged 2 questions.
Commented on at least 8 other questions. (4 marks)
Complete a Venn diagram showing our Real number system with definitions of each kind of number, its abbreviation, and examples. (4 marks)
Self assessment Stop Light Activity with examples to show that you know.
For Stop Light 2.2: “I can perform operations on rational numbers in decimal form.” You must show one of each of the following operations: +, -, ×, ÷
Each of the operations must demonstrate knowledge of using positives and negatives. (4 marks)
For Stop Light 2.2: “I can perform operations on rational numbers in fraction form.” You must show one of each of the following operations: +, -, ×, ÷
Each of the operations must demonstrate knowledge of using positives and negatives, and how to convert between mixed and improper fractions. (4 marks)
Problems of the Week question 3 and 4. (4 marks)
Grade 9 October 20-24, 2011
Hello all students in grade 9 for 2011 to 2012. Here is your homework for this weekend. Do question 4 and 5 in your math text book on page 60. Complete Mangahigh Challenges and Studyladder work as well.
For all students who have yet to hand in their Stash-It ... get it done.
Some students still owe me a post... you know who you are... get it done.
Have a great weekend.
For all students who have yet to hand in their Stash-It ... get it done.
Some students still owe me a post... you know who you are... get it done.
Have a great weekend.
Math Words For Chapter 10
Please put the following words into a foldable give a definition, draw a picture and a not picture. These are the words: minor arc, major arc, perpendicular bisector, tangent, chord, inscribed angle, central angle and subtend.
Work to be handed in for Unit 5
Dear students,
For unit five I would like you to submit an electronic Stash-it. In it you will have all the words from the unit described and illustrated. Give "not" examples if it applies. For instance showing that x and x squared are not like terms.
As well I would like you to hand in your work for the Kayak for Rent Challenge problem from page 204 in your textbook,electronically.
The last thing I want you to do is give examples for the Outcomes for Chapter 5 to show you can do the work, from your self assessment. Also tell the colour you are for that outcome.Example:
5.1 I can use mathematical terminology to describe polynomials:green x monomial, -2x + 5, binomial, 3x + 7y - 4, trinomial, 2a - 3b - 5c -7 polynomial, etc.
I would like this work submitted to me at rbacke@wsd1.org no later than Friday January 21, 2011. As usual if you have any questions see me.
For unit five I would like you to submit an electronic Stash-it. In it you will have all the words from the unit described and illustrated. Give "not" examples if it applies. For instance showing that x and x squared are not like terms.
As well I would like you to hand in your work for the Kayak for Rent Challenge problem from page 204 in your textbook,electronically.
The last thing I want you to do is give examples for the Outcomes for Chapter 5 to show you can do the work, from your self assessment. Also tell the colour you are for that outcome.Example:
5.1 I can use mathematical terminology to describe polynomials:green x monomial, -2x + 5, binomial, 3x + 7y - 4, trinomial, 2a - 3b - 5c -7 polynomial, etc.
I would like this work submitted to me at rbacke@wsd1.org no later than Friday January 21, 2011. As usual if you have any questions see me.
Stash It for December 2010
Hello Grade Nines
Here is what you will need for the Stash It Hand In. Due first day back.
Chapter Three
Three point approach (Words for the unit explained and examples given)
The large "Exponent Laws Sheet" foldable. In it should be the laws and how to use them.
Self Check
P.O.W. # 1, 3 and 4
Test and Corrections
Chapter Four
Definitions for: Scale factor, scale, enlargement, reduction, proportion, polygon, corresponding sides, corresponding angles, similar and congruent.
In a foldable: show an enlargement, show a reduction, show how to find a missing side for a similar triangle, show how to find a missing side for a similar polygon. Demonstrate how to use a scale and find a scale factor.
Self Check
P.O.W. #1 and 4.
Test and Corrections
For everyone reading this over the holidays I hope you are relaxing and chillin' and are ready to rock and roll when we come back. Miss you all. Happy Holidays!
Here is what you will need for the Stash It Hand In. Due first day back.
Chapter Three
Three point approach (Words for the unit explained and examples given)
The large "Exponent Laws Sheet" foldable. In it should be the laws and how to use them.
Self Check
P.O.W. # 1, 3 and 4
Test and Corrections
Chapter Four
Definitions for: Scale factor, scale, enlargement, reduction, proportion, polygon, corresponding sides, corresponding angles, similar and congruent.
In a foldable: show an enlargement, show a reduction, show how to find a missing side for a similar triangle, show how to find a missing side for a similar polygon. Demonstrate how to use a scale and find a scale factor.
Self Check
P.O.W. #1 and 4.
Test and Corrections
For everyone reading this over the holidays I hope you are relaxing and chillin' and are ready to rock and roll when we come back. Miss you all. Happy Holidays!
9-05 Stash It Collection Tuesday February 16
Here is what I will be collecting from you on Tuesday.
1. All MathLinks including Intro and Wrap it Up.
2. One of your tests signed.
3. Journal (Hilite a place where you were having difficulty.)
4. Self Assessment
5. Foldables
6. Chapter 4 Blog Problems.
Please check out the other websites on our homepage.
1. All MathLinks including Intro and Wrap it Up.
2. One of your tests signed.
3. Journal (Hilite a place where you were having difficulty.)
4. Self Assessment
5. Foldables
6. Chapter 4 Blog Problems.
Please check out the other websites on our homepage.
9-06 Work to be Handed In
On Tuesday February 16th 2010 I will collect the following from you in a "Stash-it."
1. MathLink Chapter 3 Intro
2. Mathlink 3.1
3. Mathlink 3.3
4. Mathlink 3.4
5. Mathlink Wrap It Up
6. Chapter 3 Self assessment
7. Tests signed by parent.
8. Journal
All pages should be completed for 20% of this units mark.
1. MathLink Chapter 3 Intro
2. Mathlink 3.1
3. Mathlink 3.3
4. Mathlink 3.4
5. Mathlink Wrap It Up
6. Chapter 3 Self assessment
7. Tests signed by parent.
8. Journal
All pages should be completed for 20% of this units mark.
Chapter 3 Practice Test Answers for 9-06
BLM 3–12 Chapter 3 Test
1. D 2. C 3. D 4. A 5. D 6. 28
7. -1/8 8. –(4)^3, (–1)^5, 2^3, (–4)^2
9. a) 3 × 3 × 3 × 3 × 3 × 3 × 3
b) (–1) × (–6) × (–6) × (–6) × (–6) × (–6)
c) 4 × 4 × 4 × 5 × 5 × 5
10. a) 6^3 b) 7^4 c) 2^12
11. 11^3 means that a base of 11 is multiplied
3 times: 11^3 = 1331. 3^11 means that a base of 3
is multiplied 11 times: 3^11 = 177 147.
12. a) In the third line, Austin incorrectly distributed the exponent over subtraction to the bases of 1 and 0.05. You can only distribute an exponent over multiplication: (ab)^x = (a^x)(b^x).
I = 100(0.95)^3; I = 100(0.857375); I ≈ 86. The light intensity is approximately 86%.
b) When d = 15, I = 46%.
1. D 2. C 3. D 4. A 5. D 6. 28
7. -1/8 8. –(4)^3, (–1)^5, 2^3, (–4)^2
9. a) 3 × 3 × 3 × 3 × 3 × 3 × 3
b) (–1) × (–6) × (–6) × (–6) × (–6) × (–6)
c) 4 × 4 × 4 × 5 × 5 × 5
10. a) 6^3 b) 7^4 c) 2^12
11. 11^3 means that a base of 11 is multiplied
3 times: 11^3 = 1331. 3^11 means that a base of 3
is multiplied 11 times: 3^11 = 177 147.
12. a) In the third line, Austin incorrectly distributed the exponent over subtraction to the bases of 1 and 0.05. You can only distribute an exponent over multiplication: (ab)^x = (a^x)(b^x).
I = 100(0.95)^3; I = 100(0.857375); I ≈ 86. The light intensity is approximately 86%.
b) When d = 15, I = 46%.
Hello 9-05
Since you seem to be the class and the only ones communicating in this way I thought I should let you know that I have posted a site to help you understand the difference between Similar and Congruent triangles. Check our class definitions today to make sure we have them right and then also check the extra definitions.
I need to go over the problems of the week for chapter 3 with you. Please remind me to do that. Here are some more problems for you to look at for chapter 4. For question 2 borrow some blocks from me to help you understand the relationship.
Chapter 4 Problems
1. A camera negative is the film in a camera that captures an image when you take a picture. Each negative measures 24 mm × 36 mm. From these negatives, pictures can be made in two sizes:
• 9 cm × 13 cm
• 10 cm × 15 cm
Does the entire image appear in each size of picture? Explain. Show your calculations.
2. In the north, animals need to be able to stay warm in cold temperatures in order to survive. There is a mathematical connection between surface area and volume that is related to an animal’s chances of survival.
a) Use cubes with different side lengths to explore how the ratio between surface area and volume changes as the size of cube increases. Record your observations.
b) Use your observations to help explain why large animals find it easier to survive cold temperatures.
3. At one unit of distance, an object receives one unit of light. How much light does an object receive that is twice as far from the light source? Explain.
I need to go over the problems of the week for chapter 3 with you. Please remind me to do that. Here are some more problems for you to look at for chapter 4. For question 2 borrow some blocks from me to help you understand the relationship.
Chapter 4 Problems
1. A camera negative is the film in a camera that captures an image when you take a picture. Each negative measures 24 mm × 36 mm. From these negatives, pictures can be made in two sizes:
• 9 cm × 13 cm
• 10 cm × 15 cm
Does the entire image appear in each size of picture? Explain. Show your calculations.
2. In the north, animals need to be able to stay warm in cold temperatures in order to survive. There is a mathematical connection between surface area and volume that is related to an animal’s chances of survival.
a) Use cubes with different side lengths to explore how the ratio between surface area and volume changes as the size of cube increases. Record your observations.
b) Use your observations to help explain why large animals find it easier to survive cold temperatures.
3. At one unit of distance, an object receives one unit of light. How much light does an object receive that is twice as far from the light source? Explain.
Chapter 3 Problems
9-05 please try these problems:
1. The brightness of a light source appears to decrease as distance increases. If brightness decreases by 1/d^2, how does the brightness change if the distance is doubled?
2. Consider the expression 1/ x^x. If x is a fraction, predict what increasing the value of x does to the value of the expression. Explain your thinking. Test your prediction.
3. a) Evaluate 76^2. The square of 76 ends in 76.
b) What other two-digit number also ends in itself?
4. A box measures 2 m by 3 m by 4 m. What is the longest length of straight pole you could place in the box? Draw a diagram to help explain.
From: McGraw-Hill Ryerson, 2009
1. The brightness of a light source appears to decrease as distance increases. If brightness decreases by 1/d^2, how does the brightness change if the distance is doubled?
2. Consider the expression 1/ x^x. If x is a fraction, predict what increasing the value of x does to the value of the expression. Explain your thinking. Test your prediction.
3. a) Evaluate 76^2. The square of 76 ends in 76.
b) What other two-digit number also ends in itself?
4. A box measures 2 m by 3 m by 4 m. What is the longest length of straight pole you could place in the box? Draw a diagram to help explain.
From: McGraw-Hill Ryerson, 2009
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