Illustrative Math Alignment: Grade 7 Unit 5

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

This is part of a collection of math quizzes on the topic of multiplying integers. Some quizzes are interactive and some are in PDF format.

Related Resources

Quiz Library

In this lesson, students will explore the fundamentals of rational expressions, a key concept in algebra. They will learn how to identify, simplify, and evaluate rational expressions by applying their understanding of fractions and algebraic operations. This lesson introduces students to the structure of rational expressions, emphasizing their similarities to numerical fractions and their role in algebraic problem-solving.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to simplify rational expressions by applying factoring techniques and identifying common factors. Rational expressions, which are algebraic fractions, can often be simplified by reducing common terms in the numerator and denominator. This lesson provides a step-by-step approach to recognizing and simplifying these expressions while reinforcing key algebraic concepts.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to add and subtract rational expressions by finding common denominators and simplifying algebraic fractions. Mastering these operations is essential for working with complex rational equations and solving real-world problems involving algebraic fractions. This lesson builds on prior knowledge of simplifying rational expressions and applying fraction rules.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to multiply and divide rational expressions by applying fraction rules and algebraic simplification techniques. Understanding these operations is essential for working with complex algebraic expressions and solving rational equations. This lesson builds on students’ knowledge of simplifying rational expressions and introduces step-by-step strategies for performing multiplication and division.

Key concepts covered in this lesson include:

In this high school algebra lesson, students will learn how to simplify complex rational expressions—fractions that contain other fractions in the numerator, denominator, or both. Mastering this topic is essential for working with advanced algebraic expressions and preparing for higher-level math courses, including calculus.

Key concepts covered in this lesson include:

Topic

Numerical Expressions

Description

Example 1 demonstrates the multiplication of two positive integers: 3 × 5. The solution shows that when multiplying two positive numbers, the result is always positive. In this case, 3 × 5 = 15.

Numerical expressions are fundamental in mathematics, representing values through various operations like addition, subtraction, multiplication, and division. This collection of examples illustrates different scenarios of integer multiplication, helping students recognize patterns and develop strategies for solving numerical problems effectively.

Topic

Numerical Expressions

Description

Example 10 illustrates the multiplication of three integers: -5, 4, and -6. The solution demonstrates that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, (-5) × 4 × (-6) = 120.

Topic

Numerical Expressions

Description

Example 11 shows the multiplication of three integers: -7, -5, and 8. The solution demonstrates that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, (-7) × (-5) × 8 = 280.

Topic

Numerical Expressions

Description

Example 12 demonstrates the multiplication of three negative integers: -6, -2, and -8. The solution shows that when multiplying three negative numbers, the result is negative. In this case, (-6) × (-2) × (-8) = -96.

This collection of examples covers various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations of negative integers, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Topic

Numerical Expressions

Description

Example 2 illustrates the multiplication of a positive integer by a negative integer: 4 × (-6). The solution demonstrates that when multiplying a positive number by a negative number, the result is always negative. In this case, 4 × (-6) = -24.

This collection of examples covers various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Topic

Numerical Expressions

Description

Example 3 demonstrates the multiplication of a negative integer by a positive integer: (-7) × 6. The solution shows that when multiplying a negative number by a positive number, the result is always negative. In this case, (-7) × 6 = -42.

This collection of examples explores various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Topic

Numerical Expressions

Description

Example 4 shows the multiplication of two negative integers: (-8) × (-3). The solution demonstrates that when multiplying two negative numbers, the result is always positive. In this case, (-8) × (-3) = 24.

This collection of examples covers various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Topic

Numerical Expressions

Description

Example 5 illustrates the multiplication of three positive integers: 2 × 4 × 5. The solution demonstrates that when multiplying multiple positive numbers, the result remains positive. In this case, 2 × 4 × 5 = 40.

This collection of examples explores various scenarios of integer multiplication, helping students understand the rules governing the multiplication of positive and negative numbers. By presenting different combinations, including multiple factors, students can recognize patterns and develop a solid foundation for more complex mathematical operations.

Topic

Numerical Expressions

Description

Example 6 demonstrates the multiplication of three integers, including a negative number: 3 × 6 × (-4). The solution shows that when multiplying multiple numbers with one negative factor, the result is negative. In this case, 3 × 6 × (-4) = -72.

Topic

Numerical Expressions

Description

Example 7 presents the multiplication of three integers with a negative number in the middle: 2 × (-5) × 6. The solution demonstrates that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, 2 × (-5) × 6 = -60.

Topic

Numerical Expressions

Description

Example 8 depicts the multiplication of three integers with a negative number at the beginning: (-6) × 3 × 5. The solution shows that the position of the negative number doesn't affect the result, which is negative when there's an odd number of negative factors. In this case, (-6) × 3 × 5 = -90.

Topic

Numerical Expressions

Description

Example 9 demonstrates the multiplication of three integers: 9, -3, and -4. The solution shows that when multiplying three integers with two negative numbers and one positive number, the result is positive. In this case, 9 × (-3) × (-4) = 108.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.

This is part of a collection of math examples that focus on rational number concepts. This includes rational numbers, expressions, and functions.