Middle School Mathematics (Grades 6-8)
Sixth Grade- General Mathematics
Problem solving should be the central focus of the mathematics curriculum. It is not a distinct topic but a process that should permeate the entire program and provide the context in which concepts and skills can be learned. Communicating both in written/spoken word and in mathematical symbols is important to the understanding of mathematics. Problem solving is a process used to investigate and understand mathematical content.
Numeration is the study of numbers including number recognition, pattern recognition, one-to-one correspondence, counting numbers, whole numbers, fractions, decimals, percents, integers, rational numbers, irrational numbers and real numbers. These skills require that students understand numbers, ways of representing numbers, relationships among numbers and number systems.
Operations and Computation
Students should develop strategies for solving problems along with fluency in basic addition, subtraction, multiplication and division facts. Understanding of the computational process supported by fluency in number facts will support learning as the operations become more complex. Rote practice is not sufficient, but neither is reliance on manipulatives or mechanical means appropriate as a substitute for basic skills. A balance of practice, application and investigation should be the goal in this area.
Measurement is the assignment of a numerical value to an attribute of an object. Students explore reality to understand what is a measurable attribute, what tools and unity may be used to assign that numerical value and how these relate to each other. Using measurement in relationship to tangible reality give students an opportunity to practice other math skills.
Probability, Statistics and Data Analysis
The collection, organization and displaying of data helps student s connect Math with other subject areas. Students learn to formulate questions that can be answered using data. They learn what is involved in gathering and using data wisely and how to display information in a useful manner. As this study begins in the early grades, students will be better able to understand the implications of statistics in marketing. They will learn how statistics and probability and related.
Students learn about geometric shapes and structures and how to analyze their characteristics and relationships. This includes spatial visualization, mental manipulation of shapes and forms, and reasoning and justification skills. These skils are integrated with other aspects of mathematical thinking and vocabulary building and develop from an early age.
Algebra deals with relationships among quantities demonstrated in the abstract. Students understand the manipulation and interpretation of symbols and how using symbols and equations in mathematical relationships can assist them in other branches of mathematics, other school subjects and life issues.