This week students will continue to improve their integer operations skills and will retake the integer operations quiz on Tuesday. We will also review order of operations which we did not get to do last week as planned.

This week students will also study rational and irrational numbers. **Rational numbers** are numbers that can be written as fractions with integer numerators and denominators. Terminating and repeating decimals belong to the set of rational numbers. **Natural numbers**, **whole numbers**, and **integers** are all rational numbers. **Irrational numbers** are decimals that do not repeat and do not end. They cannot be written as fractions. Both irrational and rational numbers are subsets of **real numbers**.

### Monday, September 11

__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 5.

__Lesson__ (Integer Operations Review)

1. Assign new seats.

2. Introduce and assign classroom jobs.

2. Pass back integer operations quiz, go over correct answers, and answer questions.

3. Integer operations review

4. STAR math assessment

5. IXL integers to-do list

__Homework
__Complete assigned items on integers worksheet. On Thursday, there will be a brief quiz over order of operations. Tomorrow, students will also retake the integers quiz.

__Links
Real Number System Videos and Games__

**Tuesday, September 12**

__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 6.

__Lesson__ (Integer Operations Retake/Order of Operations)

1. Review: integer operations

2. Retake integer operations quiz.

3.Generate interest: rules discussion in Schoology

“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?”

(Answer: Rules are important because they help create and maintain order and keep us safe.)

5. Class challenge “brainstorm” in Schoology: “How many expressions can we create that will simplify to 36?”

6. 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.)

7. Journal entry/foldable: order of operations=PEMDAS (Please Excuse My Dear Aunt Sally) mnemonic

8.

9. Direct instruction with examples and questioning

10. Guided, competitive practice of integer operations and order of operations with dry erase boards, markers, and a partner

11. Order of Operations Interactive

Closing

__Homework
__On Thursday, there will be a brief quiz over order of operations. The rounding half-sheet is due on Friday. On Friday, there will also be a quiz over rounding. Students will also retake the integers quiz on Friday.

__Links
Real Number System Videos and Games
__

**Wednesday, September 13**

__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 7.

__(Order of Operations Practice)__

Lesson

Lesson

1. Back to basics guided practice: rounding

2. Go over homework.

3. Discuss Schoology rules and expressions of 36 discussions that were completed yesterday in class.

4. Generate interest by comparing the use of operations and order of operations in math to using punctuation in writing

5. Review order of operations with a video.

6. Challenge students with an order of operations word problem-students will respond in Schoology

7. Guided practice with dry erase boards and markers-early bird game with integers

8. Cooperative practice: order of operations task cards-footloose game

__Closing
__In their math journals, students will solve several order of operations problems.

__Homework
__Tomorrow, there will be a brief quiz over order of operations.

__Links
Real Number System Videos and Games
__

**Thursday, September 14**

__Common Core Standards
__I can add, subtract, multiply and divide integers.

I can apply the order of operations to simplify expressions.

__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 8*.

__Lesson__ (Order of Operations Review)

1. Order of operations bingo

2. Finish order of operations task cards-footloose

3. Independent work-order of operations worksheet

4 Order of operations Jeopardy games:

Order of Operations Jeopardy

Order of Operations Millionaire

5. Order of operations quiz

__Closing
__In Schoology, students will describe what they learned this week in math class. They will include specific examples of activities and strategies that they enjoyed (or disliked) and helped them learn.

__Homework__

Finish the order of operations worksheet. There will be a brief quiz tomorrow. You will also retake the integers quiz tomorrow.

**Friday, September 15**

__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 sort rational and irrational numbers.

I can convert a fraction to a decimal and a decimal to a fraction.

__Bellwork
__Students will complete

*Math Minute 9*.

__Lesson__ (Introduction to the Real Number System/Rational and Irrational Numbers/*GoMath* 1.1)

1. Ask: “Which type of number do you see more often, fractions or decimals? Which do you prefer to use? Why?”

2. Journal entry: ratios

3. Foldable book/journal entry: fraction to decimal conversions, decimal to fraction conversion

4. Distribute conversions “cheat sheet.”

5. Direct instruction with examples and questioning: expressing rational numbers as decimals

6. Direct instruction with examples and questioning: expressing decimals as rational numbers

7. Guided mixed practice with dry erase boards, markers, and a partner

8. Generate interest by giving students a bag of rational and irrational numbers to sort. Discuss criteria students used to sort the numbers.

9. Journal entry presented through modified concept attainment method: rational and irrational numbers-examples, followed by definitions

10. Rational and irrational numbers challenge on SmartBoard

__Closing
__

__Homework__

__Links
__Check out the games and videos on my “Real Number System” page. You can find it by typing “Real Number System” in the search box.