Illustrative Math Alignment: Grade 6 Unit 1

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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.