Grade 7 Introduction: Math Practice Problems
Click for Practice Problems in Specific Strands
WASHINGTON GRADE 7 MATHEMATICS STANDARDS |
Current Washington K-12 Mathematics Standards
Numbers, Operations, Algebra
Students learn the meaning of negative numbers and also how to add, subtract, multiply, and divide when negative numbers are involved. They solve two-step linear equations. With this new knowledge and expanded set of skills, students can tackle a wider variety of contextual problems.
Geometry, Measurement
Students extend their understanding of area and perimeter as they develop and use formulas for the surface area and volume of three-dimensional figures, such as right prisms, right circular cylinders, right circular cones, and right pyramids. They apply these formulas to solve multi-step contextual problems.
Geometry, Measurement, Algebra
Students continue their work with ratios to solve problems involving proportionality in a variety of contexts, such as making conversions between units or finding percent of increase or decrease. They also solve problems involving the proportional relationships related to similar figures, and in so doing reinforce an important connection between numerical operations and geometric relationships. Students graph proportional relationships and identify the rate of change as the slope of the related line, thus building a foundation for the future study of linear functions.
Data/Statistics/Probability, Geometry
Students apply their understanding of rational numbers and proportionality to determine probability in given situations. They begin to understand the relationship between experimental and theoretical probability and interpret statements of probability to make predictions. Students create various graphical representations of data, expand their analysis of data sets, and deepen their understanding of measures of center.
Geometry
Students use their knowledge of rational numbers to plot points on a coordinate grid.
Reasoning, problem solving, and communication
Students use reasoning to deepen their understanding of mathematics content and the problem solving process. They use relevant information, choose an appropriate strategy, solve a problem, and communicate their thinking. Students move easily among representations—words, models, pictures, or symbols—to understand and communicate mathematical ideas, justify solutions, make conjectures, draw logical conclusions, and verify the reasonableness of their solution. Problems in seventh grade introduce students to operations that involve integers and often involve proportional relationships represented in verbal descriptions, equations, tables, or graphs. As students solve these types of problems, they build a strong foundation for the study of linear functions that will come in grade eight.