North Dakota
Skills available for North Dakota seventh-grade math standards
Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.
Show alignments for:
- North Dakota Content Standards (adopted in 2023): Grade 7 North Dakota Content Standards (adopted in 2023): Grade 7
- North Dakota Content Standards (adopted in 2023): Mathematical Practices North Dakota Content Standards (adopted in 2023): Mathematical Practices
- North Dakota Content Standards North Dakota Content Standards
- North Dakota Content Standards (Common Core) North Dakota Content Standards (Common Core)
Actions
7.NO Number and Operations
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7.NO.NS Number Systems
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7.NO.NS.1 Describe the absolute value of a number as its distance from zero on a number line.
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7.NO.NS.2 Recognize common fractions and decimal equivalencies up to a denominator of 10. Convert a rational number to a decimal using technology.
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7.NO.O Operations
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7.NO.O.1 Add, subtract, multiply, and divide integers using visual models and properties of operations in multi-step problems, including authentic problems.
- Quantities that combine to zero: word problems (7-A.6)
- Add integers using counters (7-B.1)
- Add integers using number lines (7-B.2)
- Integer addition rules (7-B.3)
- Add integers (7-B.4)
- Add three or more integers (7-B.5)
- Subtract integers using counters (7-B.6)
- Subtract integers using number lines (7-B.7)
- Integer subtraction rules (7-B.8)
- Subtract integers (7-B.9)
- Integer addition and subtraction rules (7-B.10)
- Add and subtract integers using counters (7-B.11)
- Add and subtract integers (7-B.12)
- Complete addition and subtraction equations with integers (7-B.13)
- Add and subtract integers: word problems (7-B.14)
- Understand multiplying by a negative integer using a number line (7-B.15)
- Integer multiplication rules (7-B.16)
- Multiply integers (7-B.17)
- Integer division rules (7-B.18)
- Equal quotients of integers (7-B.19)
- Divide integers (7-B.20)
- Integer multiplication and division rules (7-B.21)
- Multiply and divide integers (7-B.22)
- Complete multiplication and division equations with integers (7-B.23)
- Add, subtract, multiply, and divide integers (7-B.24)
- Evaluate numerical expressions involving integers (7-B.25)
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7.NO.O.2 Add, subtract, multiply, and divide non-negative fractions in multi-step problems, including authentic problems.
- Add and subtract fractions (7-G.1)
- Add and subtract fractions: word problems (7-G.2)
- Add and subtract mixed numbers (7-G.3)
- Add and subtract mixed numbers: word problems (7-G.4)
- Multiply two fractions using models (7-G.7)
- Multiply fractions (7-G.8)
- Multiply mixed numbers (7-G.9)
- Multiply fractions and mixed numbers: word problems (7-G.10)
- Divide fractions (7-G.12)
- Divide mixed numbers (7-G.13)
- Divide fractions and mixed numbers: word problems (7-G.14)
- Add, subtract, multiply, and divide fractions and mixed numbers: word problems (7-G.16)
- Maps with fractional distances (7-G.17)
- Evaluate numerical expressions involving fractions (7-G.18)
- Multiply fractions and whole numbers (7)
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7.NO.O.3 Add, subtract, multiply, and divide non-negative decimals to the hundredth place in multi-step problems using strategies or procedures, including authentic problems.
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Checkpoint opportunity
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7.AR Algebraic Reasoning
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7.AR.RP Ratios and Proportional Relationships
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7.AR.RP.1 Calculate unit rates associated with ratios of rational numbers, including ratios of lengths, areas, and other quantities measured in like or different units.
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7.AR.RP.2 Analyze the relationship between the dependent and independent variables of a proportional relationship using graphs and tables. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, k) where k is the unit rate.
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7.AR.RP.3 Identify the constant of proportionality in tables, graphs, equations, diagrams, and descriptions of proportional relationships. Represent proportional relationships by an equation of the form y = kx, where k is the constant of proportionality, and describe the meaning of each variable (y, k, x) in the context of the situation.
- Find the constant of proportionality from a table (7-N.1)
- Write equations for proportional relationships from tables (7-N.2)
- Find the constant of proportionality from a graph (7-N.4)
- Write equations for proportional relationships from graphs (7-N.5)
- Write and solve equations for proportional relationships (7-N.11)
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7.AR.RP.4 Use proportional relationships to solve multi-step problems involving ratios, percents, and scale drawings of geometric figures, including authentic problems.
- Solve proportions: word problems (7-L.13)
- Estimate population size using proportions (7-L.14)
- Solve percent equations: word problems (7-O.9)
- Percent of change (7-O.10)
- Percent of change: word problems (7-O.11)
- Percent of change: find the original amount word problems (7-O.12)
- Percent error: word problems (7-O.13)
- Unit prices (7-P.3)
- Unit prices with unit conversions (7-P.4)
- Unit prices: find the total price (7-P.5)
- Percent of a number: tax, discount, and more (7-P.6)
- Which is the better coupon? (7-P.7)
- Find the percent: tax, discount, and more (7-P.8)
- Sale prices: find the original price (7-P.9)
- Multi-step problems with percents (7-P.10)
- Scale drawings of polygons (7-DD.1)
- Scale drawings: word problems (7-DD.2)
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Checkpoint opportunity
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7.AR.EE Expressions and Equations
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7.AR.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions involving variables, integers, and/or nonnegative fractions and decimals with an emphasis on writing equivalent expressions.
- Multiply using the distributive property with positive numbers: area models (7)
- Simplify expressions by combining like terms (7-S.3)
- Multiply using the distributive property (7)
- Write equivalent expressions using properties (7-S.6)
- Add and subtract linear expressions (7-S.7)
- Factor linear expressions: area models (7-S.9)
- Factors of linear expressions (7-S.10)
- Identify equivalent linear expressions using algebra tiles (7-S.11)
- Identify equivalent linear expressions I (7-S.12)
- Identify equivalent linear expressions II (7-S.13)
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7.AR.EE.2 Write and solve equations of the form px + q = r and p(x + q) = r , including authentic problems.
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7.AR.EE.3 Write and solve one- or two-step inequalities where coefficients and solutions are integers and/or non-negative fractions and decimals, including authentic problems. Graph the solution set of the inequality and interpret it in the context of the problem.
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Checkpoint opportunity
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7.GM Geometry and Measurement
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7.GM.AV Area and Volume
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7.GM.AV.1 Describe the relationship between the circumference and diameter of a circle (pi). Apply given formulas to calculate the area and circumference of a circle, including authentic problems.
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7.GM.AV.2 Calculate areas of polygons by composing and/or decomposing them into rectangles and triangles, including authentic problems. Solve problems involving the surface area of prisms and right pyramids using nets, including authentic problems.
- Area of rectangles and parallelograms (7-BB.2)
- Area of triangles and trapezoids (7-BB.3)
- Area of compound figures made of rectangles (7-BB.11)
- Area of compound figures with triangles (7-BB.12)
- Area between two shapes (7-BB.14)
- Surface area of cubes and prisms (7-CC.1)
- Surface area of pyramids (7-CC.2)
- Lateral area of prisms and pyramids (7-CC.3)
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7.GM.AV.3 Solve problems involving the volume of prisms and composite solids, including authentic problems.
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Checkpoint opportunity
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7.GM.GF Geometric Figures
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7.GM.GF.1 Draw triangles from given conditions using appropriate tools. Defend whether a unique triangle, multiple triangles, or no triangle can be constructed when given three measures of angles or sides.
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7.GM.GF.2 Describe the following angle-pair relationships: supplementary angles, complementary angles, vertical angles, and adjacent angles. Solve for an unknown angle in a figure by applying facts about these angles.
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Checkpoint opportunity
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7.DPS Data, Probability, and Statistics
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7.DPS.D Data Analysis
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7.DPS.D.1 Identify the strengths and weaknesses of a population sample including bias in the process of the data collection.
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7.DPS.D.2 Analyze and draw inferences about a population using single and multiple random samples by using given measures of center and variability for the numerical data set.
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Checkpoint opportunity
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7.DPS.P Probability
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7.DPS.P.1 Develop a probability model to find probabilities of theoretical events and contrast probabilities from an experimental model.
- Probability of simple events (7-II.2)
- Probability of simple events and opposite events (7-II.3)
- Probability of mutually exclusive events and overlapping events (7-II.4)
- Experimental probability (7-II.5)
- Make predictions using experimental probability (7-II.6)
- Use collected data to find probabilities and make predictions (7-II.7)
- Make predictions using theoretical probability (7-II.8)
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7.DPS.P.2 Develop a probability model to find theoretical probabilities of independent compound events.
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Checkpoint opportunity
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