Class Explanation

 

Create a 500 word Class Explanation for the following:

 WVDE content standards and objectives for 7th grade math: 

"Number and Operations "

"Apply and extend previous understanding of operations with rational numbers to add, subtract, multiply, and divide multi-digit integers."

Number and Operations: Applying and Extending Operations with Rational Numbers

Grade 7 Math

WVDE Content Standards and Objectives

In seventh-grade math, students build upon their prior understanding of operations with rational numbers to apply and extend these concepts to multi-digit integers. This involves adding, subtracting, multiplying, and dividing multi-digit integers with fluency and accuracy.

Objective 1: Add and Subtract Multi-Digit Integers

Students will demonstrate their ability to add and subtract multi-digit integers using various strategies, including:

1. Column Addition and Subtraction: Align the numbers by their place values and apply the appropriate addition or subtraction algorithm, carrying or borrowing as needed.

2. Mental Math and Estimation: Use mental math techniques, such as rounding, decomposing numbers, and compensating, to estimate sums and differences of multi-digit integers.

3. Properties of Operations: Apply the properties of commutative and associative properties of addition to simplify expressions and check for reasonableness of answers.

Objective 2: Multiply Multi-Digit Integers

Students will develop proficiency in multiplying multi-digit integers using various methods, including:

1. Standard Algorithm: Utilize the traditional multiplication algorithm, aligning the numbers and multiplying each digit of the multiplicand by each digit of the multiplier, carrying as needed.

2. Partial Products: Break down the multiplication problem into smaller, more manageable partial products, simplifying each product and then adding the partial products together.

3. Properties of Operations: Apply the distributive property of multiplication over addition to simplify expressions and check for the reasonableness of answers.

Objective 3: Divide Multi-Digit Integers

Students will demonstrate their ability to divide multi-digit integers using various strategies, including:

1. Standard Algorithm: Employ the traditional long division algorithm, identifying the quotient, divisor, and dividend, and performing repeated subtraction to determine the quotient digit by digit.

2. Partial Quotients: Divide the dividend by the divisor using estimation to determine the first partial quotient, and then proceed to determine subsequent partial quotients and adjust the remainder until the division is complete.

3. Properties of Operations: Apply the properties of multiplication and division to simplify expressions and check for the reasonableness of answers.

Real-World Applications

The ability to apply and extend operations with rational numbers to multi-digit integers has numerous real-world applications, including:

1. Financial Transactions: Calculating profits, losses, and interest in financial transactions.

2. Scientific Calculations: Performing measurements and conversions in scientific experiments.

3. Engineering and Design: Estimating materials and costs for construction projects.

4. Data Analysis: Interpreting and analyzing numerical data from various sources.

5. Everyday Problem-Solving: Applying mathematical concepts to solve everyday problems involving quantities and measurements.