Certified Professional Middle School Math Tutoring
In middle school, from 6th through 8th grade, some students will stay on the standard math course trajectory while others will be placed on an accelerated path, culminating in completing their first year of algebra before entering high school. Middle school math is ability-based and students may be tested to see which course they are best suited for. Those who score above a certain percentile may be placed directly into a pre-algebra tract.
Sixth grade math courses involve advancing students’ understanding of multiplication and division both with whole numbers and fractions/decimals, as well as understanding ratios and furthering understanding of algebraic expressions and equations.
- » Connect ratio and rate to whole number multiplication and division → use concepts of ratio and rate to solve problems.
- » Complete understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers.
- » Write, interpret, and use expressions and equations → whole number exponents, numbers represented by letters.
- » Develop understanding of statistical thinking → statistical questions, data, measurement.
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In seventh grade, students will extend their understanding of ratios and develop understanding of proportionality. They will recognize that fractions and decimals represent rational numbers.
- » Develop an understanding of and apply proportional relationships → measurement of like or different units, ratios of fractions.
- » Understand operations with rational numbers and work with expressions and linear equations → properties of operations, equivalent expressions.
- » Solve problems involving scale drawings and informal geometric constructions, and work with two- and three-dimensional shapes to solve problems involving area, surface area, and volume.
- » Draw inferences about populations based on samples → random sampling, inferences, comparative inferences, probability models.
By eighth grade, students can write and interpret expressions, solve equations, and solve problems involving area, surface area and volume. They’ve also begun to develop an understanding of statistical thinking.
- » Formulate and reason about expressions and equations, including understanding proportions and modeling an association in bivariate data with a linear equation→ y/x = m or y = mx.
- » Understand concepts of a function, use functions to describe quantitative relationships → functions describe situations where one quantity determines another.
- » Analyze two- and three-dimensional space and figures → distance, angle, similarity and congruence; Pythagorean Theorem.
A Note About Middle School Accelerated Math: Some students by middle school demonstrate a clear ability to move quickly through their mathematics courses and qualify for an advanced math tract that enables them to complete Algebra 1 in 8th grade. The acceleration point will generally occur between grades 6 and 7. In 7th grade, students in the accelerated program will complete all of the standard seventh grade math course plus part of the 8th grade curriculum. Then in 8th grade, they will complete the standard 8th grade curriculum as well as high school level Algebra 1, enabling them to take Geometry in their first year of high school and then ultimately take college level calculus prior to graduating from high school.