# Math (6)

6th Grade is a time when all of the basic math skills will be solidifed, strenghtened and deepened. In tandem with this basic skills development will be an emphasis on creative problem-solving strategies and generalizing patterns to push the growth of each child's abstract thinking and logical reasoning ability. The beginning of algebraic thinking will be woven throughout the curriculum. Over the course of the year, units developing basic skills through direct instructioin will alternate with enrichment units taught through a hands-on discovery approach. A variety of materials and teaching styles will be used since no single method is efffective for every child. Through a variety of assignments, activities, and projects, students will have numerous opportunities to demonstrate their understanding of mathematics, their ability to apply their knowledge, and their ability to communicate effectively. In addition, the students will be introduced to some computer programming during our gender-based grouping in the spring.

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The 6th grade math program at Catlin Gabel follows the content expectations established by the National Council of Teachers of Mathematics Principles and Standards for School Mathematics:

· Work flexibly with fractions, decimals, and percents to solve problems

· Compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line

· Understand and use ratios and proportions to represent quantitative relationships

· Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers

· 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

· Understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems

· Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods

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

· Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results

· Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules

· Develop an initial conceptual understanding of different uses of variables

· Use symbolic algebra to represent situations and to solve problems

· Recognize and generate equivalent forms for simple algebraic expressions

· Model and solve contextualized problems using various representations, such as graphs, tables, and equations

· Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties

· Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life

· Understand both metric and customary systems of measurement

· Understand relationships among units and convert from one unit to another within the same system

· Understand, select, and use units of appropriate size and type to measure angles, perimeter, area, and surface area