Arkansas: Grade 7 Mathematics Standards Math Standards
37 standards ยท 5 domains
ALGEBRA
- 7.ALG.1 Generate and justify equivalent expressions, using properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients within mathematical and real-world problems.
- 7.ALG.2 Model and solve fluently two-step equations in real-world or mathematical problems.
- 7.ALG.3 Create, solve, and graph two-step inequalities in real-world and mathematical problems in the forms ๐๐ฅยฑ๐>๐, ๐๐ฅยฑ๐<๐, ๐๐ฅยฑ๐โฅ๐, and ๐๐ฅยฑ๐โค๐.
- 7.ALG.4 Write an equation to express two quantities in terms of the dependent and independent variables.
- 7.ALG.5 Describe the relationship between the dependent and independent variables in an equation using tables and graphs, relating these to the equation.
GEOMETRY & MEASUREMENT
- 7.GM.1 Describe the proportional relationship between the circumference and diameter of a circle.
- 7.GM.2 Use area and circumference formulas of a circle to solve real-world and mathematical problems.
- 7.GM.3 Apply the formulas for the volume and surface area of right rectangular prisms, rectangular pyramids, triangular prisms, and triangular pyramids to solve real-world and mathematical problems.
- 7.GM.4 Describe the two-dimensional figure that results from slicing a three-dimensional figure parallel and perpendicular to the base. Three-dimensional figures include: right rectangular prisms, triangular prisms, and cylinders
- 7.GM.5 Solve multi-step problems involving supplementary, complementary, vertical, and adjacent angles to include solving for an unknown angle in a figure.
- 7.GM.6 Calculate the scale factor, compute the actual lengths from the scale in a drawing, and reproduce a scale drawing using another scale.
NUMBER CONCEPTS & COMPUTATIONS
- 7.NCC.1 Represent addition and subtraction of rational numbers in real-world contexts using a variety of forms.
- 7.NCC.2 Model and describe additive inverse in real-world situations to show opposite quantities combine to make 0.
- 7.NCC.3 Demonstrate in real-world contexts the distance between two rational numbers on the number line as the absolute value of their differences.
- 7.NCC.4 Convert a rational number in fraction form to decimal form and recognize that the decimal form of a rational number terminates in 0s or eventually repeats.
- 7.NCC.5 Interpret the products and quotients of rational numbers by describing real-world contexts.
- 7.NCC.6 Apply properties of operations as strategies to fluently add, subtract, multiply, and divide rational numbers.
- 7.NCC.7 Use addition and subtraction with rational numbers in any form to solve multi-step problems in real-world and mathematical contexts.
- 7.NCC.8 Use multiplication and division with rational numbers in any form to solve multi-step problems in real-world and mathematical contexts.
- 7.NCC.9 Apply operations with rational numbers involving the order of operations, involving nested grouping symbols.
PROPORTIONAL RELATIONSHIPS
- 7.PR.1 Determine the unit rate (constant of proportionality) from tables, graphs, equations, diagrams, or verbal descriptions of proportional relationships.
- 7.PR.2 Calculate unit rates in real-world contexts that include complex fractions.
- 7.PR.3 Solve multi-step ratio and percent problems in a real-world context, including percent error and percent increase and decrease.
- 7.PR.4 Determine whether two quantities represent proportional relationships by using equivalent ratios in a table and by graphing on a coordinate plane.
- 7.PR.5 Compare two different proportional relationships represented in different forms.
- 7.PR.6 Create equations in the form of ๐ฆ=๐๐ฅ from tables, verbal descriptions, or graphs.
- 7.PR.7 Given a graph with a proportional relationship, explain the meaning of a point (๐ฅ,๐ฆ) on the graph, including the origin (0,0) and the unit rate (1,๐).
STATISTICS & PROBABILITY
- 7.SP.1 Interpret data displayed in a histogram and box plot to answer questions about the data.
- 7.SP.2 Recognize, create, and interpret categorical data in a circle graph.
- 7.SP.3 Graph two numerical data sets and compare their variability. Variability includes: range, interquartile range, or mean absolute deviation
- 7.SP.4 Select an appropriate measure(s) of center or variability and draw valid comparative inferences for two data sets.
- 7.SP.5 Distinguish between a random and non-random sample.
- 7.SP.6 Use a random sampling of a population to draw valid inferences and generalizations of populations.
- 7.SP.7 Determine the sample space of a simple experiment and use the sample space to determine the theoretical probability of a given set of outcomes. Simple experiments include: tossing a fair coin, spinning a fair spinner, rolling a fair dice, picking a random marble from a bag, and selecting a random card from a deck
- 7.SP.8 Recognize that probabilities in a simple experiment can be qualitative descriptors of likelihood: impossible (0), unlikely, neither likely nor unlikely, likely, or certain (1).
- 7.SP.9 Determine experimental probabilities in simple experiments and represent as fractions, decimals, and percents.
- 7.SP.10 Use theoretical probability of an event in a simple experiment to predict the number of times that an event will occur for a large number of experiments.