# 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. 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. Saxon Math is the textbook that we use in 6th-8th grade as the backbone of our math curriculum. It is designed with a spiraling approach so that topics are introduced over a period of time and continue to be reinforced consistently throughout the year and over the 3 years. In addition to Saxon math, we supplement with a variety of materials and a variety of approaches since no single method is effective for every child. To balance the direct instructional style of Saxon math, Connected Math's student-directed curriculum will be integrated into the overall 6th grade math program. 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 delineated 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

· Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios

· 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, especially those that involve linear relationships

· Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

· 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, surface area, and volume

· Solve problems involving scale factors, using ratio and proportion