Numerical representation involves using numbers to represent quantities. This can include whole numbers, fractions, decimals, and percentages. It's important to understand how to perform operations with these numerical representations, such as addition, subtraction, multiplication, and division.

Algebraic representation involves using variables and symbols to represent mathematical relationships. This can include equations, inequalities, and expressions. Understanding how to solve equations and manipulate algebraic expressions is crucial in this form of representation.

Geometric representation involves using shapes, figures, and diagrams to represent mathematical concepts. This can include understanding properties of shapes, working with angles, and solving geometric problems using visual representations.

Graphical representation involves using graphs and charts to represent data and mathematical relationships. This can include understanding different types of graphs such as bar graphs, line graphs, and pie charts, as well as interpreting and analyzing data presented graphically.

- Practice converting between different forms of representation.
- Make connections between different forms of representation.
- Use visual aids and diagrams to help understand and work with different representations.
- Pay attention to units and labels when working with numerical and graphical representations.
- Practice interpreting and analyzing data presented in different forms of representation.

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.