Grade 8 Introduction: Math Practice Problems
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WASHINGTON GRADE 8 MATHEMATICS STANDARDS |
Current Washington K-12 Mathematics Standards
Algebra
Students build on their familiarity with proportional relationships and linear equations to work with linear functions. They understand how functions describe relationships and they describe functions in a variety of ways. Students solve contextual problems that can be modeled using linear functions and interpret the graphs of such functions within the context of given problems. Students further their understanding of linear functions by distinguishing between those functions that are linear and those that are not.
Numbers, Geometry, Measurement
Students verify and use common geometric theorems, including the Pythagorean theorem and the angle-sum theorem for triangles. As they use these theorems to solve problems, students make new connections between geometry and measurement. Students use the inverse relationship between squaring and finding square roots to work with expressions involving exponents and square roots and to solve problems involving two- and three-dimensional figures.
Algebra, Data/Statistics/Probability
Students build on their extensive experience organizing and interpreting data and begin to apply statistical principles to analyze statistical studies. They create various types of two-variable displays in order to compare data sets and draw conclusions. Students use their knowledge of linear functions to make generalizations about patterns in data and to analyze trend lines in plots of data. They expand their work with probability to deal with more complex situations.
Numbers, Operations
Students use scientific notation to represent very large and very small numbers, especially as they are represented with technology. As students develop their skills with exponents in expressions, they extend their work with order of operations to include more complicated expressions.
Reasoning, problem solving, and communication
Students use reasoning to deepen their understanding of mathematics concepts and the problem-solving process. They use relevant information, choose an appropriate strategy, and solve a problem. Students move easily among representations—words, models, pictures, or symbols—to understand and communicate mathematical ideas, to justify solutions, to make conjectures, to draw logical conclusions, and to verify the reasonableness of their solution. Problems in eighth grade allow students to formalize their experience solving problems that involve proportional relationships and linear equations to begin solving problems involving linear functions. Students begin to deal with informal proofs for theorems that will be proven more formally in high school.