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What Is Taught In Middle School Math?
Students in the sixth grade will continue the study of fractions, learning how to divide one fraction by another fraction and how to divide one mixed number by another mixed number. Your sixth grader will learn about the distributive property and how to use it to rewrite the sum of two whole numbers.
Rational numbers are introduced and students learn how to order them. The concept of absolute value is taught in the sixth grade.
Your sixth grader's vocabulary expands to include: sum, difference, product, quotient, term, coefficient, factor and multiple.
Students in the sixth grade will solve problems involving ratios, proportions, and unit rates. In the sixth grade students work with Algebraic equations, learning to solve and graph them. They learn how to replace a variable with a specific value, and how to identify and write equivalent expressions. Inequalities and the idea of constraints are studied in the sixth grade .
Sixth graders will continue to study volume and learn how to find surface area and draw polygons by plotting points on a coordinate plane.
In the sixth grade the students go deeper into statistics. They learn about variability of data and how to describe a distribution by its shape, center and spread. They learn to put data into dot plots, histograms and box plots
Students in the seventh grade will continue to study ratios, unit rates and proportional relationships and what their equations and graphs look like, and how to recognize proportional relationships given an equation, graph or table. Your seventh grader will be working on word problems that involve simple interest, tax, markups, commissions and percent change.
Your seventh grader will learn that subtracting a number is the same thing as adding that number's opposite, and that the opposite of a number is called the additive inverse. From this, seventh graders learn the additive inverse property which says that when a number is added to its opposite the sum is zero. In the seventh grade the students learn the rules for multiplying and dividing positive and negative numbers.
Your seventh grader will learn about supplementary, complimentary, vertical and adjacent angles and the meaning of congruence. The conditions for congruent triangles are taught, as well as the resulting angles that are formed when parallel lines are crossed by a straight line. Students in seventh grade explore the relationship between the area and circumference of a circle.
Continuing their study of statistics, seventh graders learn about what a random sample is and how to use the data that result from taking a random sample to draw inferences about the population it represents. They extend this idea to compare inferences about two populations. Students in the seventh grade learn how describe a distribution's measure of center (mean and median) and its measure of variability (standard deviation and inner quartile range) given the distribution's shape (normal or skewed).
In the seventh grade, your student will study probability, probability experiments and how to find probabilities for simple and compound events.
Students in the eighth grade learn that numbers with a repeating pattern of decimals are rational, and are taught how to rewrite them in rational form, extending what they learned about rational numbers in the preceding year. Moving passed rational numbers, your eighth grader will be introduced to irrational numbers, radicals, and square roots and cube roots. The students in the eighth grade will work with exponents that are integers (whole numbers and their opposites) and learn how to write a number in scientific notation.
The concepts of ratio and proportion will be extended to discovering how the unit rate in a concrete situation is equivalent to the slope of its graph. Your eighth grader will learn how to compare different proportional relationships represented differently by graphs, equations or tables. The study of proportionality will include learning about similarity and similar triangles.
Together with similarity, eighth graders are introduced to the concept of congruence and how triangles can be shown to be congruent through a series of rotations, reflections or translations. Your eighth grader will also be introduced to dilation. Parallel lines cut by a transverse line form interesting angle relationships which will be studied in eighth grade math. Your eighth grader will discover that the angle measures of all triangles add up to 180° and that if two triangles have a pair of corresponding angles that are congruent, then the two triangles are similar. The Pythagorean Theorem and the distance formula are taught in the eighth grade.
Key concepts of algebra are taught in the eighth grade. Eighth graders will learn how to solve one equation in one variable and a system of two equations in two variables; and whether there exists a single solution, infinite solutions or no solutions. The special mathematical relationship called a function is introduced, and students learn how to compare different functions represented by graphs, equations or tables.
Statistics continues with studying patterns of association in bivariate (meaning two variables) quantitative data and their graphs, called scatter plots. Students will look at the scatter plots' characteristics like clustering, outliers, positive or negative association and whether the graph appears to be linear or non-linear. For linear associations, students will learn how to draw and interpret the line-of-best-fit through the scatter plot. For studying bivariate categorical data students will learn how to work with two-way frequency tables.
Students in the sixth grade will continue the study of fractions, learning how to divide one fraction by another fraction and how to divide one mixed number by another mixed number. Your sixth grader will learn about the distributive property and how to use it to rewrite the sum of two whole numbers.
Rational numbers are introduced and students learn how to order them. The concept of absolute value is taught in the sixth grade.
Your sixth grader's vocabulary expands to include: sum, difference, product, quotient, term, coefficient, factor and multiple.
Students in the sixth grade will solve problems involving ratios, proportions, and unit rates. In the sixth grade students work with Algebraic equations, learning to solve and graph them. They learn how to replace a variable with a specific value, and how to identify and write equivalent expressions. Inequalities and the idea of constraints are studied in the sixth grade .
Sixth graders will continue to study volume and learn how to find surface area and draw polygons by plotting points on a coordinate plane.
In the sixth grade the students go deeper into statistics. They learn about variability of data and how to describe a distribution by its shape, center and spread. They learn to put data into dot plots, histograms and box plots
Students in the seventh grade will continue to study ratios, unit rates and proportional relationships and what their equations and graphs look like, and how to recognize proportional relationships given an equation, graph or table. Your seventh grader will be working on word problems that involve simple interest, tax, markups, commissions and percent change.
Your seventh grader will learn that subtracting a number is the same thing as adding that number's opposite, and that the opposite of a number is called the additive inverse. From this, seventh graders learn the additive inverse property which says that when a number is added to its opposite the sum is zero. In the seventh grade the students learn the rules for multiplying and dividing positive and negative numbers.
Your seventh grader will learn about supplementary, complimentary, vertical and adjacent angles and the meaning of congruence. The conditions for congruent triangles are taught, as well as the resulting angles that are formed when parallel lines are crossed by a straight line. Students in seventh grade explore the relationship between the area and circumference of a circle.
Continuing their study of statistics, seventh graders learn about what a random sample is and how to use the data that result from taking a random sample to draw inferences about the population it represents. They extend this idea to compare inferences about two populations. Students in the seventh grade learn how describe a distribution's measure of center (mean and median) and its measure of variability (standard deviation and inner quartile range) given the distribution's shape (normal or skewed).
In the seventh grade, your student will study probability, probability experiments and how to find probabilities for simple and compound events.
Students in the eighth grade learn that numbers with a repeating pattern of decimals are rational, and are taught how to rewrite them in rational form, extending what they learned about rational numbers in the preceding year. Moving passed rational numbers, your eighth grader will be introduced to irrational numbers, radicals, and square roots and cube roots. The students in the eighth grade will work with exponents that are integers (whole numbers and their opposites) and learn how to write a number in scientific notation.
The concepts of ratio and proportion will be extended to discovering how the unit rate in a concrete situation is equivalent to the slope of its graph. Your eighth grader will learn how to compare different proportional relationships represented differently by graphs, equations or tables. The study of proportionality will include learning about similarity and similar triangles.
Together with similarity, eighth graders are introduced to the concept of congruence and how triangles can be shown to be congruent through a series of rotations, reflections or translations. Your eighth grader will also be introduced to dilation. Parallel lines cut by a transverse line form interesting angle relationships which will be studied in eighth grade math. Your eighth grader will discover that the angle measures of all triangles add up to 180° and that if two triangles have a pair of corresponding angles that are congruent, then the two triangles are similar. The Pythagorean Theorem and the distance formula are taught in the eighth grade.
Key concepts of algebra are taught in the eighth grade. Eighth graders will learn how to solve one equation in one variable and a system of two equations in two variables; and whether there exists a single solution, infinite solutions or no solutions. The special mathematical relationship called a function is introduced, and students learn how to compare different functions represented by graphs, equations or tables.
Statistics continues with studying patterns of association in bivariate (meaning two variables) quantitative data and their graphs, called scatter plots. Students will look at the scatter plots' characteristics like clustering, outliers, positive or negative association and whether the graph appears to be linear or non-linear. For linear associations, students will learn how to draw and interpret the line-of-best-fit through the scatter plot. For studying bivariate categorical data students will learn how to work with two-way frequency tables.