ALEX Resources

Narrow Results:
Learning Activities (5) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (7)


ALEX Learning Activities  
   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
[DLIT] (7) 36 :
30) Apply the problem-solving process to solve real-world problems.

Subject: Mathematics (7), Digital Literacy and Computer Science (7)
Title: Using Number Lines to Model Real-World Problems
Description:

In this activity, students will compute real-world problems with rational numbers while using a digital number line. Students are provided a sample problem to work through to become familiar with the digital number line. Since problems can be solved using multiple methods, students are asked to provide a number sentence to represent their number line model as well as the solution to the problem. Through the online digital tool, students can also share a link to their work with their teacher or classmates. This provides a great opportunity for students to investigate how to solve problems using multiple methods.

Using Number Lines to Model Real-World Problems Student Response Page




   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
[DLIT] (7) 12 :
6) Create and organize algorithms in order to automate a process efficiently.

Example: Set of recipes (algorithms) for preparing a complete meal.

Subject: Mathematics (7), Digital Literacy and Computer Science (7)
Title: Adding Integers Using Two-Color Counters
Description:

In this introductory activity, students will use two-color counters to explore adding integers. Students will also develop a working definition of the additive inverse. Using online two-color counters, students will discover algorithms for adding integers. Finally, students will develop addition integer rules based on the solutions to the mathematical sentences modeled using the two-color counters.

Adding Integers Using Two-Color Counters Student Response Page




   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: A Trick for Adding and Subtracting Negative Numbers
Description:

In this learning activity, students are introduced to the concept of adding and subtracting positive and negative numbers through an animated free math video from GCFLearnFree.org. In the video, a bird demonstrates how to move up and down the number line based on the operation and integers in the equation. It is a clever way to remember which direction to move based on the positive and negative numbers in the equation. Students then practice the tricks they learned using an interactive game.

This activity was created as a result of the ALEX Resource Development Summit.




   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: Bookstore Account: Adding and Subtracting Positive and Negative Numbers
Description:

In this free learning activity from Illustrative Mathematics, students will be presented with a real-world problem involving Evan and his school bookstore account. Students will need to use the tricks they have learned about adding and subtracting positive and negative numbers to help Evan with his school bookstore account and justify their reasoning.

This activity was created as a result of the ALEX Resource Development Summit.




   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: Casey Runner: Adding and Subtracting Positive and Negative Numbers
Description:

In this free interactive math learning activity from Math is Fun, students gain an understanding of adding and subtracting positive and negative numbers by “playing” with an interactive tool. 

This activity results from the ALEX Resource Development Summit.




ALEX Learning Activities: 5

Go To Top of page
ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
[MA2019] REG-7 (7) 5 :
5. Solve real-world and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable.
[MA2019] ACC-7 (7) 8 :
8. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses. 

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats. [Grade 7, 4]
[MA2019] ACC-7 (7) 9 :
9. Solve real-world and mathematical problems involving the four operations of rational numbers, including complex fractions. Apply properties of operations as strategies where applicable. [Grade 7, 5]
Subject: Mathematics (7)
Title: Grade 7 Mathematics Module 2, Topic C: Applying Operations With Rational Numbers to Expressions and Equations
URL: https://www.engageny.org/resource/grade-7-mathematics-module-2-topic-c-overview
Description:

In Topic C, students problem-solve with rational numbers and draw upon their work from Grade 6 with expressions and equations. They perform operations with rational numbers, incorporating them into algebraic expressions and equations.  They represent and evaluate expressions in multiple forms, demonstrating how quantities are related. The Integer Game is revisited as students discover “if-then” statements, relating changes in players’ hands (who have the same card-value totals) to changes in both sides of a number sentence. Students translate word problems into algebraic equations and become proficient at solving equations of the form px + q = r and p(x + q) = r, where p, q, and r, are specific rational numbers. As they become fluent in generating algebraic solutions, students identify the operations, inverse operations, and order of steps, comparing these to an arithmetic solution. The use of algebra to represent contextual problems continues in Module 3. 



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: Grade 7 Mathematics Module 2, Topic A: Addition and Subtraction of Integers and Rational Numbers
URL: https://www.engageny.org/resource/grade-7-mathematics-module-2-topic-overview
Description:

In Module 2, Topic A, students return to the number line to model the addition and subtraction of integers (7.NS.A.1). They use the number line and the Integer Game to demonstrate that an integer added to its opposite equals zero, representing the additive inverse (7.NS.A.1a, 7.NS.A.1b). Their findings are formalized as students develop rules for adding and subtracting integers, and they recognize that subtracting a number is the same as adding its opposite (7.NS.A.1c). Real-life situations are represented by the sums and differences of signed numbers. Students extend integer rules to include the rational numbers and use properties of operations to perform rational number calculations without the use of a calculator (7.NS.A.1d).



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: Grade 7 Mathematics Module 2, Topic B: Multiplication and Division of Rational Numbers
URL: https://www.engageny.org/resource/grade-7-mathematics-module-2-topic-b-overview
Description:

Students develop the rules for multiplying and dividing signed numbers in Module 2, Topic B. They use the properties of operations and their previous understanding of multiplication as repeated addition to representing the multiplication of a negative number as repeated subtraction (7.NS.A.2a). Students make analogies to the Integer Game to understand that the product of two negative numbers is a positive number. From earlier grades, they recognize division as the inverse process of multiplication. Thus, signed number rules for division are consistent with those for multiplication, provided a divisor is not zero (7.NS.A.2b). Students represent the division of two integers as a fraction, extending product and quotient rules to all rational numbers. They realize that any rational number in fractional form can be represented as a decimal that either terminates in 0s or repeats (7.NS.A.2d). Students recognize that the context of a situation often determines the most appropriate form of a rational number, and they use long division, place value, and equivalent fractions to fluently convert between these fraction and decimal forms. Topic B concludes with students multiplying and dividing rational numbers using the properties of operations (7.NS.A.2c).



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: KutaSoftware: Algebra I - Adding Rational Numbers Part 1
URL: https://www.youtube.com/watch?v=_2kjb583l-4&list=PLD7NSlqW6HTGDhLkT5T71rw1e5m9xgFxq&index=9
Description:

This YouTube video will help explain how to teach adding rational numbers using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are a series of three videos to fully teach this concept. The videos are labeled Adding Rational Numbers Part 1, Adding Rational Numbers Part 2, and Adding Rational Numbers Part 3. This video can be played to introduce a lesson on adding rational numbers. This video is 11 minutes and 35 seconds in length.



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: KutaSoftware: Algebra 2 - Adding Rational Numbers Part 2
URL: https://www.youtube.com/watch?v=4vjMfnbBCEs&list=PLD7NSlqW6HTGDhLkT5T71rw1e5m9xgFxq&index=10
Description:

This YouTube video will help explain how to teach adding rational numbers using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are a series of three videos to fully teach this concept. The videos are labeled Adding Rational Numbers Part 1, Adding Rational Numbers Part 2, and Adding Rational Numbers Part 3. This video can be played as a continuation of a lesson on adding rational numbers. This video is 10 minutes and 36 seconds in length.



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: KutaSoftware: Algebra 1 - Adding Rational Numbers Part 3
URL: https://www.youtube.com/watch?v=mVeLZRvDkOs&list=PLD7NSlqW6HTGDhLkT5T71rw1e5m9xgFxq&index=11
Description:

This YouTube video will help explain how to teach adding rational numbers using a worksheet from Kuta Software. Kuta Software is free software for math teachers that creates worksheets in a matter of minutes. There are a series of three videos to fully teach this concept. The videos are labeled Adding Rational Numbers Part 1, Adding Rational Numbers Part 2, and Adding Rational Numbers Part 3. This video can be played as a continuation of a lesson on adding rational numbers. This video is 7 minutes and 34 seconds in length.



   View Standards     Standard(s): [MA2019] REG-7 (7) 4 :
4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Subject: Mathematics (7)
Title: Adding and Subtracting Rational Numbers Assessment
URL: https://quizizz.com/admin/quiz/5f2a08f359debf001b4cdb4f
Description:

Students will use the Quizizz response system to complete an Adding and Subtracting Rational Numbers Assessment. Quizizz allows the teacher to conduct student-paced formative assessments through quizzing, collaboration, peer-led discussions, and presentation of content in a fun and engaging way for students of all ages.



ALEX Classroom Resources: 7

Go To Top of page