In mathematics, a quantity is a property that can exist in multiple amounts or numbers. It can be measured and expressed with a numerical value.

**Discrete Quantity:**These are countable quantities that can only take specific values (e.g., the number of students in a class).**Continuous Quantity:**These are measurable quantities that can take any value within a given range (e.g., the height of a person).

Quantities are often associated with units of measurement, which provide a standard for comparison. Common units include meters, kilograms, liters, seconds, etc.

Basic mathematical operations such as addition, subtraction, multiplication, and division can be performed on quantities.

1. The length of a table is 2 meters (a continuous quantity).

2. There are 25 students in a class (a discrete quantity).

3. A car travels at a speed of 60 kilometers per hour (a continuous quantity).

- Understand the difference between discrete and continuous quantities.
- Practice converting quantities between different units of measurement.
- Solve word problems involving quantities and their operations.
- Explore real-life examples of quantities in various contexts (e.g., time, distance, volume).

Quantities are fundamental in mathematics and the real world, representing measurable properties that can be compared and operated upon using mathematical operations and units of measurement.

.Study GuideUsing Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer key

Using Integers Worksheet/Answer keyUsing Integers

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop meaning for integers and represent and compare quantities with them.

Understand meanings of operations and how they relate to one another.

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Compute fluently and make reasonable estimates.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.