7th Grade Worksheets

Numbers & Operations (N)

7.N.1.1 Compare and order rational numbers written in different forms using <, >, and =. 7.N.1.2 Generate and recognize equivalent representations of rational numbers (e.g., equivalent fractions). 7.N.1.3 Interpret absolute value as distance from zero on the number line; use | | to model and solve problems. 7.N.2.1 Estimate products and quotients with integers to judge reasonableness of results. 7.N.2.2 Illustrate integer multiplication and division with multiple representations. 7.N.2.3 Multiply and divide integers in varied contexts using efficient, generalizable procedures (including standard algorithms). 7.N.2.4 Raise rational numbers (integers, fractions, decimals) to positive integer exponents. 7.N.2.5 Model and solve problems with rational numbers using addition, subtraction, multiplication, division, and positive integer exponents.

Algebraic Reasoning & Algebra (A)

7.A.1.1 Identify relationships as proportional when they can be written y = kx; distinguish from non-proportional cases. 7.A.1.2 Recognize that a proportional graph is a line through the origin and (1, r), where r is the slope/unit rate (constant of proportionality k). 7.A.2.1 Represent proportional relationships with tables, words, symbols, and graphs; translate among forms; determine/compare unit rates. 7.A.2.2 Solve multi-step proportional problems (e.g., distance–time, percent increase/decrease, discounts, tips, unit price, mixtures, similar figures). 7.A.2.3 Use proportional reasoning to solve ratio problems. 7.A.2.4 Use proportional reasoning to evaluate the reasonableness of solutions. 7.A.3.1 Write and solve one-variable linear equations of the forms px + q = r and p(x + q) = r (p, q, r rational). 7.A.3.2 Represent, solve, and graph one-variable linear inequalities with nonnegative rational numbers. 7.A.4.1 Apply associative, commutative, and distributive properties to create equivalent expressions with rational numbers, grouping symbols, and whole-number exponents. 7.A.4.2 Evaluate numerical expressions (using technology when appropriate) and justify steps via order of operations and grouping.

Geometry & Measurement (GM)

7.GM.1.1 Relate surface area of a rectangular prism to the areas of the faces in its net; note different dimensions can share the same surface area. 7.GM.1.2 Model surface area by covering a prism with same-size square units without gaps/overlaps; use appropriate square units (e.g., cm²). 7.GM.1.3 Model volume by counting same-size unit cubes that fill a prism without gaps/overlaps; use appropriate cubic units (e.g., cm³). 7.GM.2.1 Develop and use the formula for the area of a trapezoid. 7.GM.2.2 Determine area and perimeter of composite figures. 7.GM.3.1 Convert weights and capacities within a measurement system using appropriate units. 7.GM.3.2 Explain the proportional relationship C = πd; recognize π as the unit rate (approximate with 22/7 or 3.14). 7.GM.3.3 Calculate circumference and area of circles (in terms of π and with approximations) to solve contextual problems. 7.GM.4.1 Describe similarity, compare figures for similarity, and determine scale factors from dilations. 7.GM.4.2 Use proportions/ratios/scale factors to solve problems with scale drawings and similar triangles/rectangles (side lengths, areas). 7.GM.4.3 Graph and describe translations, reflections over the x- and y-axes, and 90° rotations about the origin; find coordinates after the transformation.

Data & Probability (D)

7.D.1.1 Design simple experiments; collect data; compute mean, median, mode, range, and IQR; draw conclusions and make predictions. 7.D.1.2 Use proportional reasoning to display and interpret data in circle graphs (pie charts) and histograms. 7.D.1.3 Use technology to create and analyze box plots. 7.D.2.1 Find theoretical probability as the ratio of favorable outcomes to the sample space; express as percent, fraction, or decimal (0 to 1). 7.D.2.2 Calculate probability as a fraction of the sample space or area; express as percent, decimal, or fraction.