Grade 7 Math (North Carolina SCOS)

Ratios and Proportional Relationships (RP)

• Analyze proportional relationships and use them to solve problems
• NC.7.RP.1 Compute unit rates from ratios of fractions.
• NC.7.RP.2 Recognize and represent proportional relationships with tables, graphs, and equations.
• NC.7.RP.3 Use scale factors and unit rates to solve ratio and percent problems.

The Number System (NS)

• Apply and extend previous understandings of operations with fractions to rational numbers
• NC.7.NS.1 Add and subtract rational numbers using properties of operations, including in context.
• NC.7.NS.2 Multiply and divide rational numbers, including converting fractions to terminating or repeating decimals.
• NC.7.NS.3 Solve real-world and mathematical problems with all four operations on rational numbers.

Expressions and Equations (EE)

• Use properties of operations to generate equivalent expressions
• NC.7.EE.1 Add, subtract, expand, and factor linear expressions using properties of operations.
• NC.7.EE.2 Understand that equivalent expressions reveal relationships and interpret each part in context.
• Solve real-life and mathematical problems using numerical and algebraic expressions, equations, and inequalities
• NC.7.EE.3 Solve multi-step problems with rational numbers in any form, converting between forms as needed.
• NC.7.EE.4 Use variables to write and solve multi-step equations and inequalities from problems.

Geometry (G)

• Draw, construct, and describe geometrical figures and the relationships between them
• NC.7.G.1 Solve problems with scale drawings, including computing lengths and areas and redrawing at a new scale.
• NC.7.G.2 Decide when given triangle measures make one triangle, more than one, or none.
• Solve problems involving angle measure, area, surface area, and volume
• NC.7.G.4 Understand and use the formulas for the area and circumference of a circle.
• NC.7.G.5 Use facts about angle relationships to write and solve equations for unknown angles.
• NC.7.G.6 Solve problems on area, perimeter, volume, and surface area of composite shapes and solids.

Statistics and Probability (SP)

• Use random sampling to draw inferences about a population
• NC.7.SP.1 Understand that samples support conclusions about a population only when representative, e.g. random.
• NC.7.SP.2 Generate several samples of the same size to gauge variation and draw inferences.
• Draw informal comparative inferences about two populations
• NC.7.SP.3 Recognize the role of variability and measure spread with mean absolute deviation, range, and IQR.
• NC.7.SP.4 Use centers and variability from random samples to compare two populations.
• Investigate chance processes and develop, use, and evaluate probability models
• NC.7.SP.5 Understand probability as a number from 0 to 1 expressing likelihood.
• NC.7.SP.6 Estimate probability from experimental data and predict long-run relative frequency.
• NC.7.SP.7 Develop uniform and non-uniform probability models and compare them with observed frequencies.
• NC.7.SP.8 Find probabilities of compound events using lists, tables, tree diagrams, and simulations.