math 7h - unit 1thecallhall.weebly.com/uploads/1/3/9/9/13997044/... · unit 1 - adding &...

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1 Sep 123:31 PM What words help us to know when to add or subtract? Unit 1 - Adding & Subtracting Rational Numbers (pg 34 in INB) Unit 1 Test Questions (pg 35 in INB) Jun 273:40 PM Math 7H - Unit 1 Day 1 - Addition Properties and Absolute Value Review (pg 36 in INB) Lesson Objectives: I can recognize the different addition properties and them to evaluate expressions with whole numbers. I can recognize integers and their opposites. I can compute the absolute value of an integer. I can describe situations in which opposite quantities combine to make 0. Sep 123:33 PM Josey has 14 marbles and Beth has 8 marbles. Josey counts all the marbles by starting with her marbles, then adding on Beth's marbles. Beth counts all the marbles by starting with her marbles, then adding on Josey's marbles. If they added correctly, will Josey and Beth find the same number of marbles? In your notes, draw a picture to justify your answer. http://blogs.skokie68.org/lrubin/files/2011/01/cuboromarblesl.jpg Sep 123:34 PM The Commutative Property of Addition Words: Changing the order of addends does not change the sum. Symbols: For any real numbers a and b, a + b = b + a. Example: 2 + 8 = 8 + 2 Abbreviation: comm prop (+) http://www.riinsuranceblog.com/wpcontent/uploads/2011/04/commute1.jpg * You should write ALL of this in your notes! * Sep 123:35 PM In American football, a touchdown is worth 7 points, a field goal is worth 3 points, and a safety is worth 2 points. In the first quarter between the Eagles and the Cowboys, the Eagles score a field goal, then score a touchdown, while the Cowboys only score a field goal. In the second quarter of the game, the Cowboys score a touchdown and a safety, while the Eagles only score a safety. http://www.montcohappening.com/wpcontent/uploads/2011/10/cowboys_eagles2.jpg 1. How many points does each team score in the first quarter? 2. How many points does each team score in the second quarter? 3. Who is winning at the end of the second quarter? How do you know? Sep 123:35 PM The Associative Property of Addition Words: Changing the grouping of addends does not change the sum. Symbols: For any real numbers a, b, and c, (a + b) + c = a + (b + c). Example: (3 + 4) + 5 = 3 + (4 + 5) Abbreviation: assoc. prop (+) * You should write ALL of this in your notes! * http://lifehacker.com/assets/resources/2007/10/facebookcollage.png

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Page 1: Math 7H - Unit 1thecallhall.weebly.com/uploads/1/3/9/9/13997044/... · Unit 1 - Adding & Subtracting Rational Numbers (pg 34 in INB) Unit 1 Test Questions (pg 35 in INB) Jun 273:40

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Sep 12­3:31 PM

What words help us to know when to add or subtract?

Unit 1 - Adding & Subtracting Rational Numbers (pg 34 in INB)

Unit 1 Test Questions (pg 35 in INB)

Jun 27­3:40 PM

Math 7H - Unit 1Day 1 - Addition Properties and

Absolute Value Review(pg 36 in INB)

Lesson Objectives:• I can recognize the different addition properties and them to evaluate expressions with whole numbers. • I can recognize integers and their opposites.• I can compute the absolute value of an integer.• I can describe situations in which opposite quantities

combine to make 0.

Sep 12­3:33 PM

Josey has 14 marbles and Beth has 8 marbles. Josey counts all the marbles by starting with her marbles, then adding on Beth's marbles. Beth counts all the marbles by starting with her marbles, then adding on Josey's marbles.

If they added correctly, will Josey and Beth find the same number of marbles? In your notes, draw a picture to justify your answer.

http://blogs.skokie68.org/lrubin/files/2011/01/cuboro­marbles­l.jpg

Sep 12­3:34 PM

The Commutative Property of Addition

Words: Changing the order of addends does not change the sum.

Symbols: For any real numbers a and b,a + b = b + a.

Example: 2 + 8 = 8 + 2

Abbreviation: comm prop (+)

http://www.riinsuranceblog.com/wp­content/uploads/2011/04/commute1.jpg

* You should write ALL of this in your notes! *

Sep 12­3:35 PM

In American football, a touchdown is worth 7 points, a field goal is worth 3 points, and a safety is worth 2 points. In the first quarter between the Eagles and the Cowboys, the Eagles score a field goal, then score a touchdown, while the Cowboys only score a field goal. In the second quarter of the game, the Cowboys score a touchdown and a safety, while the Eagles only score a safety.

http://www.montcohappening.com/wp­content/uploads/2011/10/cowboys_eagles2.jpg

1. How many points does each team score in the first quarter?

2. How many points does each team score in the second quarter?

3. Who is winning at the end of the second quarter? How do you know?

Sep 12­3:35 PM

The Associative Property of Addition

Words: Changing the grouping of addends does not change the sum.

Symbols: For any real numbers a, b, and c,(a + b) + c = a + (b + c).

Example: (3 + 4) + 5 = 3 + (4 + 5)

Abbreviation: assoc. prop (+)

* You should write ALL of this in your notes! *

http://lifehacker.com/assets/resources/2007/10/facebookcollage.png

Page 2: Math 7H - Unit 1thecallhall.weebly.com/uploads/1/3/9/9/13997044/... · Unit 1 - Adding & Subtracting Rational Numbers (pg 34 in INB) Unit 1 Test Questions (pg 35 in INB) Jun 273:40

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Sep 12­3:35 PM Sep 12­3:36 PM

The Additive Identity PropertyWords: The sum of an addend and zero is the

addend.

Symbols: For any real number a,a + 0 = 0 + a = a.

Example: 5 + 0 = 0 + 5 = 5

Abbreviation: ident. prop (+)

* You should write ALL of this in your notes! *

Sep 12­3:36 PM

The Commutative Property is true for addition. For example,7 + 2 = 2 + 7. Does the Commutative Property apply to subtraction? Is 7 - 2 equal to 2 - 7? Explain. Use pictures to help justify your answer.

Using the Associative Property, 9 + (6 + 3) = (9 + 6) + 3. Is 9 - (6 - 3) equal to (9 - 6) - 3? Explain. Use pictures to help justify your answer.

Sep 12­3:37 PM

A negative number is a number less than zero.

A positive number is a number greater than zero.

The set of integers includes all positive and negative whole numbers and the number zero.

* How can you keep track of your position on a number line? *10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

Where do we use integers OUTSIDE of math class?

Click here

Click here

Click here

Sep 12­3:37 PM Sep 12­3:38 PM

The absolute value of a number is the distance the number is from zero.

|4| = 4 and |-4| = 4

A number and its ______ are the same distance from zero.

Simplify each expression.

d. |6| e. |-9| f. -|3| g. -|-5|

h. |3| + |2| i. |-12| - 5 j. |5 + 3|

Page 3: Math 7H - Unit 1thecallhall.weebly.com/uploads/1/3/9/9/13997044/... · Unit 1 - Adding & Subtracting Rational Numbers (pg 34 in INB) Unit 1 Test Questions (pg 35 in INB) Jun 273:40

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Sep 12­3:39 PM

Test QuestionsAt the beginning of this unit's notes, write 2 questions that could show up on the unit test. You do NOT need to solve the questions.

You will add to this list throughout the entire unit.

Sep 12­3:39 PM

HomeworkAddition Properities & Absolute Value WKS

* Individual Think Time *

What to do if you get stuck...1. Reread the problem. Did you write it

down correctly?2. Reread your notes. Is there a problem

similar that we did together in class?3. Find a problem similar in your book. Try

this one to see if it helps.4. Skip the problem until the end of

Individual Think Time. Then ask an "educated" question of a neighbor or Mrs. Call.

Today we're working by...