Intensive Math-Algebra I Mini-Lesson MA.912.A.4.1

Benchmark MA.912.A.4.1 Simplify monomials and monomials expressions using the laws of integral exponents. This benchmark will be assessed using MC and FR items. Students will: Apply the laws of exponents to simplify monomials and monomials expressions with integral exponents. Content Limits: Exponents should be integers. Items must have a variable base and may include a numerical base. Monomials may have no more than three variables. Response Attributes: Items may be simplified to quotients or written with negative exponents in the format xaybzc. Fill-in response items may require that students provide an exponent for a specified monomial term. Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.1 I can… Simplify monomials Apply the multiplication property, division property, and power properties of exponents Vocabulary Exponent Base Simplify Essential Understanding Extend the use of exponents in include zero and negative exponents. A property of exponents can be used to multiply powers with the same base. To multiply powers with the same base, add the exponents. Properties of exponents can be used to simplify a power raised to a power or a product raised to a power. To raise a power to a power, multiply the exponents. To raise a product to a power, raise each factor to the power and multiply. Properties of exponents can be used to divide powers with the same base. To divide powers with the same base, subtract the exponents. To raise a quotient to a power, raise the numerator and the denominator to the power and simplify. Intensive Mathematics - Algebra 1

Benchmark MA.912.A.4.1 Intensive Mathematics - Algebra 1 Textbook page: 415

Benchmark MA.912.A.4.1 Example # 2 Example # 3 Practice: Page 417: 31-36; Page 418: 45-46 Intensive Mathematics - Algebra 1 Textbook page: 415-416

Benchmark MA.912.A.4.1 Example # 4 Intensive Mathematics - Algebra 1 Textbook pages: 426 and 427

Benchmark MA.912.A.4.1 Example # 5 Practice: Page 429: 23 – 28, Page 430: 47 - 50 Intensive Mathematics - Algebra 1 Textbook pages: 427

Benchmark MA.912.A.4.1 Example # 6 Example # 7 Practice: Page 437: 30 - 37 Intensive Mathematics - Algebra 1 Textbook page: 434 and 436

Benchmark MA.912.A.4.1 Example # 8 Practice: Page 443: 20 - 23 Intensive Mathematics - Algebra 1 Textbook page: 440 and 441

Benchmark MA.912.A.4.1 Example # 9 Practice: Page 444: 44 - 48 Intensive Mathematics - Algebra 1 Textbook page: 442

Benchmark MA.912.A.4.1 Small Group Practice Students will work in small groups on the FOCUS worksheet. Notice that the questions are either short answer or Fill in Response. Once the students finish proceed to check the answers in a whole class setting using the FOCUS Review slides. Intensive Mathematics - Algebra 1

Review Which answer choice is equivalent to the expression below? A. D.   Intensive Mathematics - Algebra 1

Review       2 Intensive Mathematics - Algebra 1

(x8 y−2)(x4 y5) Review     3   Intensive Mathematics - Algebra 1

Review       Intensive Mathematics - Algebra 1

(x8 y−2)(x4 y5) Review     7     1 Intensive Mathematics - Algebra 1

Mini - Assessment MA.912.A.4.1 Intensive Mathematics - Algebra 1 Students will answer these questions individually. You might use clickers if they are available. Check the answers once they finish. Go over the most frequent mistakes and misconceptions. Don’t forget to go over test taking strategies. Intensive Mathematics - Algebra 1

Mini - Assessment MA.912.A.4.1 The expression is equivalent to which of the following? A. B. C. D. 2. During an algebra quiz, Matthew simplified the following expression. His final answer was in the form of . If he simplified the expression correctly, which is the value of m , the exponent of a? F. 5 G. 10 H. 15 I. 50 Intensive Mathematics - Algebra 1

Mini - Assessment MA.912.A.4.1 3. In his algebra lecture, Mr. Power simplified the expression . While explaining his math, he made a mistake. Which of the following is NOT a correct partial answer to his problem? A. B. C. D. 4. Bailey simplified the expression shown below. His final answer was in the form . If he simplified the expression correctly, what is the value of y, the exponent of b?   6 - Intensive Mathematics - Algebra 1

Mini - Assessment MA.912.A.4.1 5. While working on his algebra homework, Eric needed to simplify the problem shown below. If Eric simplified the problem correctly, what is the value of the exponent for b?   4 - Intensive Mathematics - Algebra 1

MA.912.A.4.1 Home Learning Review Video Exponents Properties Intensive Mathematics - Algebra 1