The mathematics program for 6th grade covers all aspects of arithmetic and prepares students for the next level of math, which is pre-algebra. The EnVision Math curriculum divides the subjects into 20 topics. The year begins with learning all about fractions, decimals, mixed numbers, and integers, as well as operations involving these numbers (addition, subtraction, multiplication and division). The next phase of the curriculum involves identifying geometric figures in both two and three dimensions. There is a focus on angle types and angle measures, symmetry, transformations and congruency of figures. In semester two, students use ratios, rates, proportions, and percents leading that leads in to solving equations, interpreting graphs, and using/converting different units of measure. The last phase of the curriculum brings all this together using geometric applications such as finding perimeter, area, surface area, and volume. Students also apply data to graphs as well as applying probability through counting methods, permutations, combinations, theory, and actual events.
The 7th grade math course is pre-algebra and begins with decimals and integers used in mathematical operations (addition, subtraction, multiplication and division) as well as metric units, order of operations and the distributive property. This is followed by the use of exponents, factors and fractions through comparison and data analysis. Equations and inequalities are solved and used to find ratios, rates, proportions and percents. During the second semester, students identify and classify geometric figures, measure their areas, perimeters, circumferences, use the Pythagorean Theorem, and determine surface area of prisms and cylinders. To ready students for graphing data, they learn to recognize number sequences, patterns, functions and rules, and they use the coordinate plane to graph linear equations, geometric slides, flips, turns, symmetry, reflections and rotations. The year comes to an end putting data on display and analyzing it. This knowledge is applied in probability through predictions, experiments, permutations, combinations and multiple events.
Algebra I in 8th grade begins with the foundations of algebra and solving two-variable equations. Once mastered, students solve multi-step inequalities and compound inequalities and are introduced to linear and non-linear functions. At the end of the first semester, students are solving systems of equations using both elimination and substitution. During the second semester, 8th graders begin with exponential functions, exponential growth and decay as well as using zero and negative exponents. These concepts lead to polynomial operations and factoring, followed by quadratic graphs and functions. These concepts develop into completing the square, quadratic formula, the discriminant, and linear/quadratic/exponential models. The latter part of the semester involves radical expressions, radical equations, and operations with rational expressions. The last phase of Algebra I concentrates students’ skills and mastery to applications of data analysis and probability concerning organization, samples, and surveys.