7th Grade MathIn Grade 7, instructional time focuses on three areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; and (3) drawing inferences about populations based on samples.
Ratios and Proportional Relationships Domain
● extend their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems
● use their understanding of ratios and proportionality to solve a wide variety of percent problems
● solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects
● graph proportional relationships and understand the unit rate informally as a measure of the steepness of the related line
● distinguish proportional relationships from other relationships.
Number System and the Expressions, Equations, and Inequalities Domains
● develop a unified understanding of number, recognizing fractions, decimals (that have a finite or a repeating decimal
representation), and percents as different representations of rational numbers
● extend addition, subtraction, multiplication, and division to all rational numbers, maintaining the properties of operations and the relationships between addition and subtraction, and multiplication and division;
● explain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers by applying properties of operations, and view negative numbers in terms of everyday contexts
● use the arithmetic of rational numbers as they formulate expressions and equations in one variable and use these equations to solve problems.
Statistics and Probability Domain
● build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations
● begin informal work with random sampling to generate data sets and learn about the importance of representative samples for drawing inferences
● extend previous understandings of simple probabilities in grade 6 to calculate probabilities of compound events.
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