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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 1: Positive and Negative Numbers

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Clip Art--Number Systems--Rational Numbers, Image 1 Math Clip Art--Number Systems--Rational Numbers 01 Math Clip Art--Number Systems--Rational Numbers 01

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 2 Math Clip Art--Number Systems--Rational Numbers 02 Math Clip Art--Number Systems--Rational Numbers 02

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 3 Math Clip Art--Number Systems--Rational Numbers 03 Math Clip Art--Number Systems--Rational Numbers 03

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 4 Math Clip Art--Number Systems--Rational Numbers 04 Math Clip Art--Number Systems--Rational Numbers 04

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 5 Math Clip Art--Number Systems--Rational Numbers 05 Math Clip Art--Number Systems--Rational Numbers 05

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 6 Math Clip Art--Number Systems--Rational Numbers 06 Math Clip Art--Number Systems--Rational Numbers 06

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 7 Math Clip Art--Number Systems--Rational Numbers 07 Math Clip Art--Number Systems--Rational Numbers 07

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 8 Math Clip Art--Number Systems--Rational Numbers 08 Math Clip Art--Number Systems--Rational Numbers 08

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 9 Math Clip Art--Number Systems--Rational Numbers 09 Math Clip Art--Number Systems--Rational Numbers 09

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 10 Math Clip Art--Number Systems--Rational Numbers 10 Math Clip Art--Number Systems--Rational Numbers 10

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Clip Art--Number Systems--Rational Numbers, Image 11 Math Clip Art--Number Systems--Rational Numbers 11 Math Clip Art--Number Systems--Rational Numbers 11

This is part of a collection of math clip art images about different number systems. Included are integers, rational numbers, and real numbers.

Numerical Expressions
Math Example--Arithmetic--Adding Two Integers: Example 1 Math Example--Arithmetic--Adding Two Integers: Example 1 Math Example--Arithmetic--Adding Two Integers: Example 1

Topic

Integers

Description

This example demonstrates the addition of two positive integers: 7 + 12. The solution is straightforward, as it involves adding two whole numbers. When dealing with positive integers, the addition process is similar to that of whole numbers. In this case, 7 + 12 equals 19.

Numerical Expressions
Math Example--Arithmetic--Adding Two Integers: Example 2 Math Example--Arithmetic--Adding Two Integers: Example 2 Math Example--Arithmetic--Adding Two Integers: Example 2

Topic

Integers

Description

This example illustrates the addition of a positive and a negative integer: 6 + (-3). When adding a negative integer, it's helpful to rewrite the expression as subtraction. In this case, 6 + (-3) can be rewritten as 6 - 3, which equals 3. This method simplifies the process and helps students understand the relationship between addition and subtraction of integers.

Numerical Expressions
Math Example--Arithmetic--Adding Two Integers: Example 3 Math Example--Arithmetic--Adding Two Integers: Example 3 Math Example--Arithmetic--Adding Two Integers: Example 3

Topic

Integers

Description

This example demonstrates the addition of a positive and a negative integer: 5 + (-8). When adding a negative integer, it's beneficial to rewrite the expression as subtraction. In this case, 5 + (-8) can be rewritten as 5 - 8, which equals -3. This method helps students understand that adding a negative number is equivalent to subtracting its positive counterpart.

Numerical Expressions
Math Example--Arithmetic--Adding Two Integers: Example 4 Math Example--Arithmetic--Adding Two Integers: Example 4 Math Example--Arithmetic--Adding Two Integers: Example 4

Topic

Integers

Description

This example showcases the addition of a positive integer and its negative counterpart: 7 + (-7). When adding a negative integer, it's helpful to rewrite the expression as subtraction. In this case, 7 + (-7) can be rewritten as 7 - 7, which equals 0. This example illustrates an important concept in integer addition: any number added to its opposite results in zero.

Numerical Expressions
Math Example--Arithmetic--Adding Two Integers: Example 5 Math Example--Arithmetic--Adding Two Integers: Example 5 Math Example--Arithmetic--Adding Two Integers: Example 5

Topic

Integers

Description

This example demonstrates the addition of two negative integers: -6 + (-8). When adding negative integers, it's helpful to rewrite the expression as a subtraction statement. In this case, -6 + (-8) can be rewritten as -6 - 8, which equals -14. This method helps students understand that adding two negative numbers results in a number that is more negative than either of the original numbers.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 1

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 10

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 11

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 12

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 13

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 14

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 15

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 2

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 3

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 4

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 5

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 6

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 7

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 8

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9 Math Example--Exponential Concepts--Integer and Rational Exponents--Example 9

This is part of a collection of math examples that focus on exponents, exponential expressions, and exponential functions.

Numerical Expressions
Math Example--Numerical Expressions--Dividing Integers: Example 1 Math Example--Numerical Expressions--Dividing Integers: Example 1 Math Example--Numerical Expressions--Dividing Integers: Example 1

Topic

Numerical Expressions

Description

This example demonstrates the division of two positive integers: 12 divided by 3. The solution shows that when dividing one integer by another, the result is a rational number. In this case, with two positive integers, the quotient is positive. The calculation is presented as 12 ÷ 3 = 12 / 3 = 4.

Numerical Expressions
Math Example--Numerical Expressions--Dividing Integers: Example 10 Math Example--Numerical Expressions--Dividing Integers: Example 10 Math Example--Numerical Expressions--Dividing Integers: Example 10

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-144) ÷ 12 ÷ (-2). The solution shows that dividing three integers, two negative and one positive, results in a positive quotient. The calculation is presented step-by-step: (-144) ÷ 12 ÷ (-2) = -12 / -2 = 6.

Numerical Expressions
Math Example--Numerical Expressions--Dividing Integers: Example 11 Math Example--Numerical Expressions--Dividing Integers: Example 11 Math Example--Numerical Expressions--Dividing Integers: Example 11

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-150) ÷ (-5) ÷ 3. The solution shows that dividing three integers, two negative and one positive, results in a positive quotient. The calculation is presented step-by-step: (-150) ÷ (-5) ÷ 3 = 30 / 3 = 10.

Numerical Expressions
Math Example--Numerical Expressions--Dividing Integers: Example 12 Math Example--Numerical Expressions--Dividing Integers: Example 12 Math Example--Numerical Expressions--Dividing Integers: Example 12

Topic

Numerical Expressions

Description

This example illustrates the division of three negative integers: -108 ÷ (-2) ÷ (-6). The solution demonstrates that dividing three negative integers results in a negative quotient. The calculation is presented step-by-step: (-108 / -2) / -6 = 54 / -6 = -9.

Numerical Expressions