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Oklahoma Standards

Oklahoma 7th Grade Math Standards

All 35 Oklahoma math standards for 7th grade, each explained in plain English. The official wording is one click away under each one.

35 standards

Numbers & Operations

8 standards
Read, write, represent, and compare rational numbers, expressed as integers, fractions, and decimals. Explain and apply the concept of absolute value.
7.N.1.1
Put rational numbers in any form in order and compare them with <, > and =, like -3/4 < -0.5 < 1/3.
Official wording
Compare and order rational numbers expressed in various forms using the symbols "<", ">", and "=".
7.N.1.2
Recognize and write the same rational number in different forms, like -0.75 = -3/4 = -6/8.
Official wording
Recognize and generate equivalent representations of rational numbers, including equivalent fractions.
7.N.1.3
Explain absolute value as distance from zero, write it with bars, like |-8| = 8, and use it to solve problems like the gap between two temperatures.
Official wording
Explain the relationship between the absolute value of a rational number and the distance of that number from zero on a number line. Use the symbol for absolute value. Apply the concept of absolute value to model and solve problems.
Calculate with rational numbers, with and without positive integer exponents, to model and solve mathematical problems.
7.N.2.1
Estimate products and quotients of integers to check if an answer is sensible, like -38 × 5 is about -200.
Official wording
Estimate solutions to multiplication and division of integers in order to assess the reasonableness of results.
7.N.2.2
Use number lines, counters or patterns to show how multiplication and division of signed integers work, like -3 × 4 = -12.
Official wording
Illustrate multiplication and division of integers using a variety of representations.
7.N.2.3
Multiply and divide positive and negative integers with reliable methods and sign rules, like -6 × -4 = 24 and -45 ÷ 9 = -5.
Official wording
Multiply and divide integers in a variety of situations; use efficient and generalizable procedures, including standard algorithms.
7.N.2.4
Raise integers, fractions and decimals to positive whole-number powers, like 0.3² = 0.09 and 2/3 squared is 4/9.
Official wording
Raise rational numbers (integers, fractions, and decimals) to positive integer exponents.
7.N.2.5
Solve problems with rational numbers that mix all four operations and positive whole-number powers, like a temperature dropping 2.5° an hour for 4 hours.
Official wording
Model and solve problems using rational numbers involving addition, subtraction, multiplication, division, and positive integer exponents.

Algebraic Reasoning & Algebra

10 standards
Explain the concept of proportionality in mathematical models and situations and distinguish between proportional and non-proportional relationships.
7.A.1.1
Decide whether two changing quantities are proportional by checking if y ÷ x stays the same, so y = kx, and tell them apart from relationships that are not.
Official wording
Identify a relationship between two varying quantities, x and y, as proportional if it can be expressed in the form y/x = k or y=kx; distinguish proportional relationships from non-proportional relationships.
7.A.1.2
Recognize that a proportional graph is a straight line through the origin that reaches the unit rate at x = 1, which is also its slope.
Official wording
Recognize that the graph of a proportional relationship is a line through the origin and the coordinate (1, r), where r is the slope and the unit rate (constant of proportionality, k).
Identify and justify proportional relationships using mathematical models and situations; solve problems involving proportional relationships and interpret results in the original context.
7.A.2.1
Show a proportional relationship as a table, words, an equation or a graph, move between them, and find and compare unit rates from any of them.
Official wording
Represent proportional relationships with tables, verbal descriptions, symbols, and graphs; translate from one representation to another. Determine and compare the unit rate (constant of proportionality, slope, or rate of change) given any of these representations.
7.A.2.2
Solve multi-step proportion problems about speed and distance, percent change, discounts, tips, unit prices, mixtures and similar figures.
Official wording
Solve multi-step problems with proportional relationships (e.g., distance-time, percent increase or decrease, discounts, tips, unit pricing, mixtures and concentrations, similar figures, other mathematical situations).
7.A.2.3
Solve ratio problems by setting up and reasoning with proportions, like 3 cups of flour for 2 batches means 7.5 cups for 5.
Official wording
Use proportional reasoning to solve problems involving ratios.
7.A.2.4
Use proportional thinking to check whether an answer makes sense, like a 20% tip on $48 should be close to $10.
Official wording
Use proportional reasoning to assess the reasonableness of solutions.
Represent mathematical situations using equations and inequalities involving variables and rational numbers.
7.A.3.1
Write and solve two-step equations with rational numbers for word problems, like 3x + 5 = 20 or 2 times the sum of x and 4 is 18.
Official wording
Write and solve problems leading to linear equations with one variable in the form px + q = r and p(x + q) = r, where p, q, and r are rational numbers.
7.A.3.2
Write, solve and graph one-step inequalities like x + 3 > 7 or x + 1.5 < 4 with nonnegative rational numbers, showing the answers on a number line.
Official wording
Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form x + p > q and x + p < q, where p, and q are nonnegative rational numbers.
Use order of operations and properties of operations to generate and evaluate equivalent numerical and algebraic expressions.
7.A.4.1
Use properties of operations to write equal forms of number and variable expressions with rational numbers, grouping symbols and exponents, like 5x + 3x = 8x.
Official wording
Use properties of operations (associative, commutative, and distributive) to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols, and whole-number exponents.
7.A.4.2
Find the value of number expressions with a calculator, and justify the answer by showing which operations come first, like 2 + 3 × 4² = 50.
Official wording
Evaluate numerical expressions using calculators and other technologies and justify solutions using order of operations and grouping symbols.

Geometry & Measurement

11 standards
Develop and understand the concept of surface area and volume of rectangular prisms with rational-valued edge lengths.
7.GM.1.1
Find a rectangular prism's surface area by adding the areas of the rectangles in its net, and see that different prisms can share a surface area.
Official wording
Recognize that the surface area of a rectangular prism can be found by finding the area of each component of the net of that figure. Know that rectangular prisms of different dimensions can have the same surface area.
7.GM.1.2
Discover with hands-on tools that surface area means covering a prism with unit squares without gaps or overlaps, measured in square units like cm².
Official wording
Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism can be found by wrapping the figure with same-sized square units without gaps or overlap. Use appropriate measurements (e.g., cm²).
7.GM.1.3
Pack prisms with equal unit cubes, leaving no gaps, to see that volume is the count of cubes inside, written in cubic units like cm³.
Official wording
Using a variety of tools and strategies, develop the concept that the volume of rectangular prisms can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use appropriate measurements (e.g., cm³).
Use mathematical models and problems to calculate and justify the area of trapezoids and the area and perimeter of composite figures with rational measurements.
7.GM.2.1
Work out the area formula for a trapezoid, half the sum of the two bases times the height, and use it.
Official wording
Develop and use the formula to determine the area of a trapezoid.
7.GM.2.2
Measure the area and distance around shapes built from rectangles, triangles and other pieces, like an L-shaped room.
Official wording
Find the area and perimeter of composite figures.
Use mathematical models and reasoning with proportions and ratios to determine measurements, justify formulas, and solve problems.
7.GM.3.1
Convert weights and capacities within one system to solve problems, like 3 pounds to ounces or 2.5 liters to milliliters.
Official wording
Solve problems that require the conversion of weights and capacities within the same measurement systems using appropriate units.
7.GM.3.2
Show that a circle's circumference is always pi times its diameter, a constant ratio close to 3.14 or 22/7.
Official wording
Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is pi (π) and can be approximated by rational numbers such as 22/7 and 3.14.
7.GM.3.3
Use C = πd and A = πr² in real problems, giving answers in terms of π or with 3.14, like a circle of radius 5 has area 25π.
Official wording
Calculate the circumference and area of circles to solve problems in various contexts, in terms of pi (π) and using approximations for pi (π).
Analyze the effect of translations, reflections, rotations, and dilations on the attributes of two-dimensional figures on and off the coordinate plane.
7.GM.4.1
Describe what makes figures similar, test whether two figures are similar, and find the scale factor of an enlargement or reduction.
Official wording
Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations.
7.GM.4.2
Use ratios and scale factors to solve scale-drawing problems and find missing sides and areas of similar triangles and rectangles, like on a map.
Official wording
Apply proportions, ratios, and scale factors to solve problems involving scale drawings and to determine side lengths and areas of similar triangles and rectangles.
7.GM.4.3
Graph slides given in words or rules, flips over the x- or y-axis, and 90° turns about the origin on a coordinate plane, and name the new vertices.
Official wording
Graph and describe translations (with directional and algebraic instructions), reflections across the x- and y-axes, and rotations in 90° increments about the origin of figures on a coordinate plane, and determine the coordinates of the vertices of a figure after a transformation.

Data & Probability

6 standards
Interpret and analyze data, creating the most appropriate display, using a variety of tools.
7.D.1.1
Plan a simple experiment, gather data, find the mean, median, mode, range and interquartile range, and use them to draw conclusions and predict.
Official wording
Design simple experiments, collect data, and calculate measures of center (mean, median, and mode) and spread (range and interquartile range). Use these quantities to draw conclusions about the data collected and make predictions.
7.D.1.2
Make and read circle graphs and histograms, using proportions to size each slice, like 25% of the data is a quarter of the circle.
Official wording
Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms.
7.D.1.3
Make box plots with technology and use them to compare and describe data.
Official wording
Use technology to create and analyze box plots.
Calculate and use proportional reasoning with probabilities to model and solve mathematical problems.
7.D.2.1
Find an event's theoretical probability as favorable outcomes over total outcomes, as a fraction, decimal or percent, like 1/3 for rolling a 1 or 2.
Official wording
Determine the theoretical probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1.
7.D.2.2
Find probability as a part of the sample space or of an area, like landing on a shaded quarter of a spinner, and write it as a fraction, decimal or percent.
Official wording
Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals, and fractions.
7.D.2.3
Use theoretical probability and proportions to predict how often an outcome will happen, like about 50 heads in 100 coin flips.
Official wording
Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on theoretical probabilities.

The official Oklahoma documents

Oklahoma Academic Standards for Mathematics, Oklahoma State Department of Education.

The plain-English lines are EMStudio's own explanations, shown beside the official wording. They are not part of the standards.