7th grade Mathematics worksheets

Grade 7

• 7.1The student uses mathematical processes to acquire and demonstrate mathematical understanding
• 7.1.Aapply mathematics to problems arising in everyday life, society, and the workplace
• 7.1.Buse a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
• 7.1.Cselect tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems
• 7.1.Dcommunicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
• 7.1.Ecreate and use representations to organize, record, and communicate mathematical ideas
• 7.1.Fanalyze mathematical relationships to connect and communicate mathematical ideas
• 7.1.Gdisplay, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
• 7.2The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers
• 7.3The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions
• 7.3.Aadd, subtract, multiply, and divide rational numbers fluently
• 7.3.Bapply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
• 7.4The student applies mathematical process standards to represent and solve problems involving proportional relationships
• 7.4.Arepresent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt
• 7.4.Bcalculate unit rates from rates in mathematical and real-world problems
• 7.4.Cdetermine the constant of proportionality (k = y/x) within mathematical and real-world problems
• 7.4.Dsolve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems
• 7.4.Econvert between measurement systems, including the use of proportions and the use of unit rates
• 7.5The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships
• 7.5.Ageneralize the critical attributes of similarity, including ratios within and between similar shapes
• 7.5.Bdescribe π as the ratio of the circumference of a circle to its diameter
• 7.5.Csolve mathematical and real-world problems involving similar shape and scale drawings
• 7.6The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships
• 7.6.Arepresent sample spaces for simple and compound events using lists and tree diagrams
• 7.6.Bselect and use different simulations to represent simple and compound events with and without technology
• 7.6.Cmake predictions and determine solutions using experimental data for simple and compound events
• 7.6.Dmake predictions and determine solutions using theoretical probability for simple and compound events
• 7.6.Efind the probabilities of a simple event and its complement and describe the relationship between the two
• 7.6.Fuse data from a random sample to make inferences about a population
• 7.6.Gsolve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;
• 7.6.Hsolve problems using qualitative and quantitative predictions and comparisons from simple experiments; and
• 7.6.Idetermine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
• 7.7The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b
• 7.8The student applies mathematical process standards to develop geometric relationships with volume
• 7.8.Amodel the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas
• 7.8.Bexplain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas
• 7.8.Cuse models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas
• 7.9The student applies mathematical process standards to solve geometric problems
• 7.9.Asolve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids
• 7.9.Bdetermine the circumference and area of circles