The focus at the sixth grade level is on connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; completing understanding of division of fractions and extending the notion of number to the system of rational numbers which includes negative numbers; writing, interpreting, and using expressions and equations; and developing understanding of statistical thinking. Students use reasoning about multiplication and division to solve ratio and rate problems about quantities. By viewing equivalent ratios and rates as deriving from and extending pairs of rows in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Students use the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for dividing fractions make sense. They extend their previous understandings of number and the ordering of numbers to the full system of rational numbers. They understand the use of variables in mathematical expressions. Students write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students begin to develop their ability to think statistically, recognizing that a data distribution may not have a definite center and that different ways to measure center yield different values. Students recognize that a measure of variability can also be useful for summarizing data because two very different sets of data can have the same mean and median yet be distinguished by their variability.
The areas of focus at the seventh grade level are developing understanding of and applying proportional relationships; developing understanding of operations with rational numbers and working with expressions and linear equations; solving problems involving scale drawings and informal geometric constructions and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and drawing inferences about populations based on samples. Students extend their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems. They solve problems involving percentages and scale and graph proportional relationships. Students develop a unified understanding of number, recognizing fractions, decimals, and percents as different representations of rational numbers. They use the arithmetic of rational numbers as they formulate expressions and equations in one variable and use these equations to solve problems. Continuing their work with area from grade 6, students solve real-world and mathematical problems involving area, surface area, and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Students build on their previous work to begin informal work with random sampling to generate data sets and learn about the importance of representative samples for drawing inferences.
Eighth Grade Mathematics CurriculumThe areas of focus at the eighth grade level are formulating and reasoning about expressions and equations; grasping the concept of a function and using functions to describe quantitative relationships, and analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem. Students use linear equations and systems of linear equations to represent, analyze, and solve a variety of problems. They strategically choose and efficiently implement procedures to solve linear equations in one and two variables. Students grasp the concept of a function as a rule that assigns to each input exactly one output. They understand that functions describe situations where one quantity determines another. Students use ideas about distance and angles to describe and analyze two-dimensional figures and to solve problems. They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons. Students complete their work on volume by solving problems involving cones, cylinders, and spheres.
Math I CurriculumMath I provides students the opportunity to study concepts of algebra, geometry, functions, number and operations, statistics, and modeling throughout the course. These concepts include expressions in the real number system, creating and reasoning with equations and inequalities, interpreting and building simple functions, expressing geometric properties, and interpreting categorical and quantitative data.
Math II CurriculumMath II continues a progression of the standards established in Math I. In addition to these standards, Math II includes polynomials, congruence and similarity of figures, trigonometry with triangles, modeling with geometry, probability, making inferences, and justifying conclusions.
Math III CurriculumMath III progresses from the standards learned in Math I and Math II. In addition to these standards, Math III extends to include algebraic concepts such as the complex number system, inverse functions, trigonometric functions, and the unit circle. Math III also includes the geometric concepts of conics and circles.
......................................................................................................................................... Published by Valerie Robinson on August 30, 2018 |

Mathematics Curriculum Standards for Grades 6-12