# Ms. Minner's Classroom

A Louisville Middle School Classroom

This week integer operations and order of operations will continue to be topics of study. Subsets of the real number system will also be introduced on Friday.

### Tuesday, September 5

Common Core Standards and Extended Standards
8.NS.1 Know that there are numbers that are not rational, and approximate them by rational numbers.
Extended Standard: Apply and extend previous understandings of numbers to the system of rational numbers.
NS.68.4a Solve real-world problems involving positive and negative numbers (e.g., temperatures, elevations, distance from a fixed point (map reading)).
NS.68.5a Recognize the effects of multiplying and dividing with negative numbers (e.g., -2 × -4 = 8).
NS.68.4b Solve problems involving positive and negative numbers using a number line (e.g., temperatures, distances from a fixed point).
NS.68.5b Recognize that the absolute value of a rational number is how far it is from 0 on the number line (i.e., plot a number and its opposite on a number line and recognize that they are equidistant from zero).
NS.68.4c Locate a given positive or negative number on a number line.
NS.68.5c Recognize that addition means move to the right and subtraction means move to the left on a number line.

Student Objectives
I can add, subtract, multiply and divide integers.
I can apply the order of operations to simplify expressions.

Bellwork
Students will complete Math Minute 1.

Lesson (Integer Operations)
1. Students will receive their usernames and pins for XtraMath and use their Chromebooks to try the program.
2. Students will be given the course code to join the grade 8 resource math class in Schoology.
3. Math Minute (bellwork) procedures will also be introduced.
4. Go over homework: multiplying & dividing integers
5. Students will be given usernames, pins, and letters for parents about IXL. Students will try the program with an IXL competition using grade 7 integer skills: B1, B4, C1, C2, C3, C6, C7. Students may use number lines, dry erase boards, and/or integer chips but no calculators.
6. Practice quiz (Google form)-integer operations
7. Cooperative, guided practice:
integers Jeopardy
virtual integer chips
number line
random integer generator
-ultimate integers war with a partner

-subtracting integers Footloose
-extra practice with teacher using dry erase boards, markers, number line, integer chips, multiplication chart
8. Guided practice: select problems from the integer operations study guide

9. Students will work independently or with a partner to complete the integer operations study guide.

Closing
Revisit integers anticipation guide: reflection columns

Homework
Students will complete the remainder of the integer operations study guide.
Tomorrow, there will be a quiz over integer operations.

### Wednesday, September 6

Common Core Standards
8.NS.1 Know that there are numbers that are not rational, and approximate them by rational numbers.
Extended Standard: Apply and extend previous understandings of numbers to the system of rational numbers.
NS.68.4a Solve real-world problems involving positive and negative numbers (e.g., temperatures, elevations, distance from a fixed point (map reading)).
NS.68.5a Recognize the effects of multiplying and dividing with negative numbers (e.g., -2 × -4 = 8).
NS.68.4b Solve problems involving positive and negative numbers using a number line (e.g., temperatures, distances from a fixed point).
NS.68.5b Recognize that the absolute value of a rational number is how far it is from 0 on the number line (i.e., plot a number and its opposite on a number line and recognize that they are equidistant from zero).
NS.68.4c Locate a given positive or negative number on a number line.
NS.68.5c Recognize that addition means move to the right and subtraction means move to the left on a number line.

Student Objectives
I can add, subtract, multiply and divide integers.
I can apply the order of operations to simplify expressions.

Bellwork
Students will complete Math Minute 2.

Lesson (Integers Review & Quiz/Order of Operations Introduction)
1. Go over homework: integer operations study guide

3. Review integer rule for subtraction: add the opposite (keep-change-change). Review integer rules for subtraction with the slippery ice and ski pole story and also “taking away a negative is a positive”
“The long subtraction symbol is really a dangerous sheet of ice. If you aren’t careful, you could fall down and break something important. You need to use a ski pole to stick down into the ice which changes what come next (you don’t fall down anymore.)”–created by Teacher Support Force

4. Review integer rules for multiplication and division with “smile trick”

5. Integer practice with IXL or integers Jeopardy on Chromebooks with dry erase boards, number lines, and integer chips-single player, teacher circulates to provide remediation
6. Integer operations quiz

Closing
Students will be asked to brainstorm in their journals a list of expressions that equal 36 when simplified. Students will choose their best example and add it to the corresponding discussion in Schoology.

Homework
Finish the “36” journal prompt and discussion entry, if not finished in class.

Integer Videos and Games

### Thursday, September 7

Common Core Standards
8.NS.1 Know that there are numbers that are not rational, and approximate them by rational numbers.
Extended Standard: Apply and extend previous understandings of numbers to the system of rational numbers.
NS.68.4a Solve real-world problems involving positive and negative numbers (e.g., temperatures, elevations, distance from a fixed point (map reading)).
NS.68.5a Recognize the effects of multiplying and dividing with negative numbers (e.g., -2 × -4 = 8).

Student Objectives
I can apply the order of operations to simplify expressions.

Bellwork
Students will complete Math Minute 3.

Lesson (Order of Operations)
1. Generate interest: rules discussion
“Name one school rule you do not like.”
“Name one school rule you like.”
“Name one (outside school) rule you don’t like.”
“Name one (outside school) rule you do like.”
“Even though we don’t always like rules, they are important. Why?”
2. Students will share their journal entry homework assignment: expressions that simplify to 36
3. The teacher will ask students how they used rules to get so many different expressions that simplify to the same number……answer=order of operations.
4. Journal entry/foldable: order of operations=PEMDAS (Please Excuse My Dear Aunt Sally) mnemonic

5.

7. Direct instruction with examples and questioning

8. Small group practice with order of operations task cards and footloose game
9. Order of Operations Interactive
10. Independent practice with IXL: grade 8 skill, C.8

Closing

Homework
In their math journals, students will solve several order of operations problems.

Real Number System Videos and Games

Friday, September 8

Common Core Standards
8.NS.1 Know that there are numbers that are not rational, and approximate them by rational numbers.
Extended Standard: Apply and extend previous understandings of numbers to the system of rational numbers.
NS.68.4a Solve real-world problems involving positive and negative numbers (e.g., temperatures, elevations, distance from a fixed point (map reading)).
NS.68.5a Recognize the effects of multiplying and dividing with negative numbers (e.g., -2 × -4 = 8).

Student Objectives
I can add, subtract, multiply and divide integers.
I can apply the order of operations to simplify expressions.

Bellwork
Students will complete Math Minute 4.

Lesson
(Order of Operations Quiz/Star Math Test/Introduction to Rational & Irrational Numbers)
1. Generate interest by comparing the use of operations and order of operations in math to using punctuation in writing

2. Review order of operations with a video.

3. Challenge students with an order of operations word problem.

4. Guided practice with dry erase boards and markers
5. Order of operations quick check
6. Star math benchmark
7. If time permits, introduction of rational and irrational numbers with examples/non-examples and guided notes/foldable.

Closing

Homework