### Monday, September 25

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.

8.EE.2 Use square root and cube root symbols to represent solutions to equations. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of any non-perfect square or non-perfect cube is irrational.

__Student Objectives
__I can classify numbers.

I can sort rational and irrational numbers.

Given a number, I can place it in the correct subsets of real numbers.

I can locate rational approximations of irrational numbers on a number line.

I can use a calculator to convert a repeating decimal into a fraction.

I can calculate the square or cube of a number.

I can calculate the square root or cube root of a number.

I can solve a root equation.

__Bellwork
__Students will complete

*Math Minute 14*.

Lesson (More Rational Approximations & Classifying Numbers)

1. Paired practice: rational and irrational numbers card sort

2. Guided practice and review-real number subsets:

3. Review real number subsets. Students will place numbers in the correct section of a real number system organizer projected onto the SmartBoard.

4. Blended learning: number systems muncher

5. Guided practice: “The Number System” worksheet

6. Journal entry: calculator tip-repeating decimal to fraction conversion

7. IXL competition: selected items from IXL module 1 to-do list

8. Cooperative practice: finish rational approximations of irrational numbers task cards

9. Independent practice:

-real numbers worksheet

-IXL module 1 to-do list

-Xtramath

Closing

Real number subsets quiz in Schoology

Homework

Complete the real number subsets worksheet,

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.

### Tuesday, September 26

(shortened class due to adjusted schedule)

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 use a calculator to convert a repeating decimal into a fraction.

I can locate rational approximations of irrational numbers on a number line.

I can sort rational and irrational numbers.

I can calculate the square and/or cube of a number.

I can calculate the square root of a number.

I can calculate the cube root of a number.

Bellwork

Students will complete *Math Minute *15.

__Lesson__ (Compare & Order Rational Numbers)

1. Real number system: always, sometimes, or never card sort

2. Demonstration and guided practice: GoMath textbook, pages 24-26 (move to Wednesday)

3. Journal entry: perfect squares and square roots

4. Guided practice: roots practice worksheet-bottom of worksheet

5. Finish rational approximations task cards in groups of 3 or 4 students.

6. Real number subsets practice quiz in Google forms

__Closing
__Schoology discussion question: “Explain the difference between rational and irrational numbers. Give at least 2 examples of each type of number.”

__Homework
__You will have a real numbers unit test on Friday. Work on your IXL module 1 to-do list.

Other

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.

### Wednesday, September 27

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.

8.EE.2 Use square root and cube root symbols to represent solutions to equations. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of any non-perfect square or non-perfect cube is irrational.

__Student Objectives__

Given a number, I can place it in the correct subsets of real numbers.

I can locate rational approximations of irrational numbers on a number line.

I can calculate the square and/or cube of a number.

I can calculate the square and/or cube root of a number.

I can solve a root equation.

__Bellwork
__Students will complete

*Math Minute 16*. Early finishers will complete an XtraMath lesson.

Lesson (Rational Approximations, Comparing & Ordering Real Numbers)

1. Finish rational approximations task cards with partners.

2. Demonstration and guided practice: selected items from *GoMath* pages 24-26

3. Journal entry: more calculator tips for exponents and radicals

3. Pin the tail on the number line: ordering rational numbers worksheet

4. Exponents, radicals, & root equations footloose

5. Independent work: real numbers true/false worksheet, IXL module 1 to-do list, STAR math (if not finished), IXL diagnostic

Closing

Real numbers half-sheet

Homework

There will be a real numbers unit test on Friday. The IXL module 1 to-do list is due Friday.

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.

### Thursday, September 28

Common Core Standards and Extended Standards

all module one standards-review

Student Objectives

I can classify numbers.

I can sort rational and irrational numbers.

Given a number, I can place it in the correct subsets of real numbers.

I can locate rational approximations of irrational numbers on a number line.

I can use a calculator to convert a repeating decimal into a fraction.

I can calculate the square or cube of a number.

I can calculate the square root or cube root of a number.

I can solve a root equation.

Bellwork

Students will complete *Math Minute 17*.

Lesson (Real Numbers Unit Review)

1. Go over homework.

2. Go over correct answers to real number subsets quiz.

3. Rational and irrational numbers team challenge cards

4. Review of unit one key concepts and skills- “Real Numbers Unit Review” in Schoology

5. Guided practice/trashketball: integers, real number subsets, fraction to decimal conversions, perfect squares and cubes, square and cube roots, and solving root equations

6. Cooperative work on “Real Numbers Review” worksheet

Closing

Homework

Complete remaining items on the “Real Numbers Study Guide.” Tomorrow, there will be a test over unit one concepts: integers, converting fractions to decimals, real number subsets, perfect squares and cubes, square and cube roots, solving root equations and ordering, comparing and approximating irrational numbers. You will be able to use your calculator for this test. Your IXL module 1 to-do list is also due tomorrow.

Links

Use the links on my integers page and real numbers page to review the big ideas and skills from module one. You can also use the lesson plans from the past 4 weeks as a way to review.

### Friday, September 29

Common Core Standards and Extended Standards

all module one standards

Student Objectives

all module one objectives-review

Bellwork

Students will complete *Math Minute 18*.

Lesson (Real Numbers Unit Test)

1. Go over homework: real numbers study guide. Answer questions.

2. Quick review of key concepts for unit one including calculator tips

3. Real numbers unit test

4. IXL diagnostic

5. IXL module 2 to-do list

Closing

Exponents pre-assessment

Homework

Work on the IXL module 2 to-do list.

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.