IXL Skill Plan | Oregon Mathematics Standards: Grade 7

Oregon Mathematics Standards: Grade 7

Skills available for Oregon seventh-grade math standards

Section

Algebraic Reasoning: Expressions and Equations
Proportional Reasoning: Ratios and Proportions
Numeric Reasoning: Number Systems
Geometric Reasoning and Measurement
Data Reasoning

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7.AEE	Algebraic Reasoning: Expressions and Equations
7.AEE.A Use properties of operations to generate equivalent expressions.
7.AEE.A.1 Identify and write equivalent expressions with rational numbers by applying associative, commutative, and distributive properties.		Multiply using the distributive property 1. Multiply using the distributive property: area models 2. Multiply using the distributive property Add and subtract expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms 5. Add and subtract linear expressions Factor expressions 6. Factor linear expressions: area models 7. Factors of linear expressions Write and identify equivalent expressions 8. Write equivalent expressions using properties 9. Identify equivalent linear expressions using algebra tiles 10. Identify equivalent linear expressions I 11. Identify equivalent linear expressions II
7.AEE.A.1 Identify and write equivalent expressions with rational numbers by applying associative, commutative, and distributive properties.
Multiply using the distributive property 1. Multiply using the distributive property: area models 2. Multiply using the distributive property Add and subtract expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms 5. Add and subtract linear expressions Factor expressions 6. Factor linear expressions: area models 7. Factors of linear expressions Write and identify equivalent expressions 8. Write equivalent expressions using properties 9. Identify equivalent linear expressions using algebra tiles 10. Identify equivalent linear expressions I 11. Identify equivalent linear expressions II

7.AEE.A.2 Understand that rewriting an expression in different forms in a contextual problem can show how quantities are related.		1. Identify equivalent linear expressions: word problems
7.AEE.A.2 Understand that rewriting an expression in different forms in a contextual problem can show how quantities are related.
1. Identify equivalent linear expressions: word problems

Checkpoint opportunity		• Coming soon: Checkpoint: Linear expressions
Checkpoint opportunity
• Coming soon: Checkpoint: Linear expressions
7.AEE.B Solve mathematical problems in authentic contexts using numerical and algebraic expressions and equations.
7.AEE.B.3 Write and solve problems in authentic contexts using expressions and equations with positive and negative rational numbers in any form. Contexts can be limited to those that can be solved with one or two-step linear equations.		Order of operations 1. Evaluate numerical expressions involving integers 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions 4. Evaluate numerical expressions involving exponents Evaluate variable expressions 5. Evaluate linear expressions 6. Evaluate multi-variable expressions 7. Evaluate nonlinear expressions Real-world problems 8. Maps with decimal distances 9. Maps with fractional distances 10. Multi-step word problems with positive rational numbers Solve equations 11. Solve equations using properties 12. Model and solve equations using algebra tiles 13. Write and solve equations that represent diagrams 14. Solve one-step equations 15. Solve two-step equations without parentheses 16. Solve two-step equations with parentheses 17. Solve two-step equations 18. Solve equations involving like terms 19. Solve equations: complete the solution Word problems 20. Choose two-step equations: word problems 21. Solve two-step equations: word problems
7.AEE.B.3 Write and solve problems in authentic contexts using expressions and equations with positive and negative rational numbers in any form. Contexts can be limited to those that can be solved with one or two-step linear equations.
Order of operations 1. Evaluate numerical expressions involving integers 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions 4. Evaluate numerical expressions involving exponents Evaluate variable expressions 5. Evaluate linear expressions 6. Evaluate multi-variable expressions 7. Evaluate nonlinear expressions Real-world problems 8. Maps with decimal distances 9. Maps with fractional distances 10. Multi-step word problems with positive rational numbers Solve equations 11. Solve equations using properties 12. Model and solve equations using algebra tiles 13. Write and solve equations that represent diagrams 14. Solve one-step equations 15. Solve two-step equations without parentheses 16. Solve two-step equations with parentheses 17. Solve two-step equations 18. Solve equations involving like terms 19. Solve equations: complete the solution Word problems 20. Choose two-step equations: word problems 21. Solve two-step equations: word problems

7.AEE.B.4 Use variables to represent quantities and construct one- and two-step linear inequalities with positive rational numbers to solve authentic problems by reasoning about the quantities.		One-step inequalities 1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities
7.AEE.B.4 Use variables to represent quantities and construct one- and two-step linear inequalities with positive rational numbers to solve authentic problems by reasoning about the quantities.
One-step inequalities 1. Solve one-step inequalities 2. Graph solutions to one-step inequalities 3. One-step inequalities: word problems Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities

Checkpoint opportunity		1. Checkpoint: Solve two-step equations 2. Checkpoint: Solve two-step inequalities
Checkpoint opportunity
1. Checkpoint: Solve two-step equations 2. Checkpoint: Solve two-step inequalities

7.RP	Proportional Reasoning: Ratios and Proportions
7.RP.A Analyze proportional relationships and use them to solve mathematical problems in authentic contexts.
7.RP.A.1 Solve problems in authentic contexts involving unit rates associated with ratios of fractions.		1. Calculate unit rates with fractions
7.RP.A.1 Solve problems in authentic contexts involving unit rates associated with ratios of fractions.
1. Calculate unit rates with fractions

7.RP.A.2 Recognize and represent proportional relationships between quantities in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Identify the constant of proportionality (unit rate) within various representations.		Equivalent ratios 1. Identify equivalent ratios 2. Write an equivalent ratio 3. Equivalent ratios: word problems Proportions 4. Do the ratios form a proportion? 5. Do the ratios form a proportion: word problems 6. Solve proportions Constant of proportionality 7. Find the constant of proportionality from a table 8. Find the constant of proportionality from a graph Identify proportional relationships 9. Identify proportional relationships by graphing 10. Identify proportional relationships from graphs and equations 11. Identify proportional relationships from tables Represent proportional relationships 12. Write equations for proportional relationships from tables 13. Write equations for proportional relationships from graphs 14. Complete a table and graph a proportional relationship 15. Interpret graphs of proportional relationships 16. Write and solve equations for proportional relationships Solve proportional problems 17. Solve proportions: word problems 18. Estimate population size using proportions 19. Graph a proportional relationship: word problems 20. Percents of numbers and money amounts 21. Percents of numbers: word problems 22. Solve percent equations
7.RP.A.2 Recognize and represent proportional relationships between quantities in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Identify the constant of proportionality (unit rate) within various representations.
Equivalent ratios 1. Identify equivalent ratios 2. Write an equivalent ratio 3. Equivalent ratios: word problems Proportions 4. Do the ratios form a proportion? 5. Do the ratios form a proportion: word problems 6. Solve proportions Constant of proportionality 7. Find the constant of proportionality from a table 8. Find the constant of proportionality from a graph Identify proportional relationships 9. Identify proportional relationships by graphing 10. Identify proportional relationships from graphs and equations 11. Identify proportional relationships from tables Represent proportional relationships 12. Write equations for proportional relationships from tables 13. Write equations for proportional relationships from graphs 14. Complete a table and graph a proportional relationship 15. Interpret graphs of proportional relationships 16. Write and solve equations for proportional relationships Solve proportional problems 17. Solve proportions: word problems 18. Estimate population size using proportions 19. Graph a proportional relationship: word problems 20. Percents of numbers and money amounts 21. Percents of numbers: word problems 22. Solve percent equations

7.RP.A.3 Use proportional relationships to solve ratio and percent problems in authentic contexts.		Unit prices 1. Unit prices with unit conversions 2. Unit prices: find the total price Percent of change 3. Percent of change 4. Percent of change: word problems 5. Percent of change: find the original amount word problems Percent problems 6. Percent error: word problems 7. Percent of a number: tax, discount, and more 8. Which is the better coupon? 9. Find the percent: tax, discount, and more 10. Sale prices: find the original price 11. Multi-step problems with percents Simple interest 12. Simple interest
7.RP.A.3 Use proportional relationships to solve ratio and percent problems in authentic contexts.
Unit prices 1. Unit prices with unit conversions 2. Unit prices: find the total price Percent of change 3. Percent of change 4. Percent of change: word problems 5. Percent of change: find the original amount word problems Percent problems 6. Percent error: word problems 7. Percent of a number: tax, discount, and more 8. Which is the better coupon? 9. Find the percent: tax, discount, and more 10. Sale prices: find the original price 11. Multi-step problems with percents Simple interest 12. Simple interest

Checkpoint opportunity		1. Checkpoint: Unit rates, ratios, and percents • Coming soon: Checkpoint: Proportional relationships
Checkpoint opportunity
1. Checkpoint: Unit rates, ratios, and percents • Coming soon: Checkpoint: Proportional relationships
7.RP.B Investigate chance processes and develop, use, and evaluate probability models.
7.RP.B.4 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Represent probabilities as fractions, decimals, and percents.		1. Probability of simple events
7.RP.B.4 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Represent probabilities as fractions, decimals, and percents.
1. Probability of simple events

7.RP.B.5 Use experimental data and theoretical probability to make predictions. Understand the probability predictions may not be exact.		1. Make predictions using experimental probability 2. Use collected data to find probabilities and make predictions 3. Make predictions using theoretical probability
7.RP.B.5 Use experimental data and theoretical probability to make predictions. Understand the probability predictions may not be exact.
1. Make predictions using experimental probability 2. Use collected data to find probabilities and make predictions 3. Make predictions using theoretical probability

7.RP.B.6 Develop a probability model and use it to find probabilities of events. Compare theoretical and experimental probabilities and explain possible sources of discrepancy if any exists.		Theoretical probability 1. Probability of simple events 2. Probability of simple events and opposite events 3. Probability of mutually exclusive events and overlapping events 4. Make predictions using theoretical probability Experimental probability 5. Experimental probability 6. Make predictions using experimental probability
7.RP.B.6 Develop a probability model and use it to find probabilities of events. Compare theoretical and experimental probabilities and explain possible sources of discrepancy if any exists.
Theoretical probability 1. Probability of simple events 2. Probability of simple events and opposite events 3. Probability of mutually exclusive events and overlapping events 4. Make predictions using theoretical probability Experimental probability 5. Experimental probability 6. Make predictions using experimental probability

7.RP.B.7 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.		Compound events 1. Compound events: find the number of outcomes 2. Compound events: find the number of sums 3. Find the number of outcomes: word problems 4. Probability of compound events 5. Probability of independent and dependent events Simulation 6. Which simulation represents the situation?
7.RP.B.7 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Compound events 1. Compound events: find the number of outcomes 2. Compound events: find the number of sums 3. Find the number of outcomes: word problems 4. Probability of compound events 5. Probability of independent and dependent events Simulation 6. Which simulation represents the situation?

Checkpoint opportunity		• Coming soon: Checkpoint: Theoretical and experimental probability • Coming soon: Checkpoint: Probability of compound events
Checkpoint opportunity
• Coming soon: Checkpoint: Theoretical and experimental probability • Coming soon: Checkpoint: Probability of compound events

7.NS	Numeric Reasoning: Number Systems
7.NS.A Apply and extend previous understandings of operations with fractions.
7.NS.A.1 Apply and extend previous understandings of addition, subtraction and absolute value to add and subtract rational numbers in authentic contexts. Understand subtraction as adding the additive inverse, p – q = p + (–q).		Opposite quantities 1. Understanding absolute value 2. Absolute value and opposite integers 3. Quantities that combine to zero: word problems 4. Absolute value of rational numbers Add integers 5. Add integers using counters 6. Add integers using number lines 7. Add integers 8. Add three or more integers Subtract integers 9. Subtract integers using counters 10. Subtract integers using number lines 11. Subtract integers Add and subtract integers 12. Add and subtract integers using counters 13. Add and subtract integers 14. Complete addition and subtraction equations with integers 15. Add and subtract integers: word problems Rational number rules 16. Integer addition rules 17. Integer subtraction rules 18. Integer addition and subtraction rules 19. Apply addition and subtraction rules Add and subtract rational numbers 20. Add and subtract decimals 21. Add and subtract decimals: word problems 22. Add and subtract fractions 23. Add and subtract fractions: word problems 24. Add and subtract mixed numbers 25. Add and subtract mixed numbers: word problems 26. Add and subtract positive and negative decimals 27. Add and subtract positive and negative fractions 28. Add and subtract rational numbers
7.NS.A.1 Apply and extend previous understandings of addition, subtraction and absolute value to add and subtract rational numbers in authentic contexts. Understand subtraction as adding the additive inverse, p – q = p + (–q).
Opposite quantities 1. Understanding absolute value 2. Absolute value and opposite integers 3. Quantities that combine to zero: word problems 4. Absolute value of rational numbers Add integers 5. Add integers using counters 6. Add integers using number lines 7. Add integers 8. Add three or more integers Subtract integers 9. Subtract integers using counters 10. Subtract integers using number lines 11. Subtract integers Add and subtract integers 12. Add and subtract integers using counters 13. Add and subtract integers 14. Complete addition and subtraction equations with integers 15. Add and subtract integers: word problems Rational number rules 16. Integer addition rules 17. Integer subtraction rules 18. Integer addition and subtraction rules 19. Apply addition and subtraction rules Add and subtract rational numbers 20. Add and subtract decimals 21. Add and subtract decimals: word problems 22. Add and subtract fractions 23. Add and subtract fractions: word problems 24. Add and subtract mixed numbers 25. Add and subtract mixed numbers: word problems 26. Add and subtract positive and negative decimals 27. Add and subtract positive and negative fractions 28. Add and subtract rational numbers

7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Interpret operations of rational numbers solving problems in authentic contexts.		Understand integer multiplication and division 1. Understand multiplying by a negative integer using a number line 2. Integer multiplication rules 3. Integer division rules 4. Equal quotients of integers 5. Integer multiplication and division rules 6. Apply multiplication and division rules Integers 7. Multiply integers 8. Divide integers 9. Multiply and divide integers 10. Complete multiplication and division equations with integers Positive decimals 11. Multiply decimals 12. Multiply decimals and whole numbers: word problems 13. Divide decimals 14. Divide decimals by whole numbers: word problems Positive fractions 15. Multiply fractions 16. Multiply mixed numbers 17. Multiply fractions and mixed numbers: word problems 18. Divide fractions 19. Divide mixed numbers 20. Divide fractions and mixed numbers: word problems 21. Multiply fractions and whole numbers Rational numbers 22. Identify quotients of rational numbers: word problems 23. Multiply and divide positive and negative decimals 24. Multiply and divide positive and negative fractions 25. Multiply and divide rational numbers
7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Interpret operations of rational numbers solving problems in authentic contexts.
Understand integer multiplication and division 1. Understand multiplying by a negative integer using a number line 2. Integer multiplication rules 3. Integer division rules 4. Equal quotients of integers 5. Integer multiplication and division rules 6. Apply multiplication and division rules Integers 7. Multiply integers 8. Divide integers 9. Multiply and divide integers 10. Complete multiplication and division equations with integers Positive decimals 11. Multiply decimals 12. Multiply decimals and whole numbers: word problems 13. Divide decimals 14. Divide decimals by whole numbers: word problems Positive fractions 15. Multiply fractions 16. Multiply mixed numbers 17. Multiply fractions and mixed numbers: word problems 18. Divide fractions 19. Divide mixed numbers 20. Divide fractions and mixed numbers: word problems 21. Multiply fractions and whole numbers Rational numbers 22. Identify quotients of rational numbers: word problems 23. Multiply and divide positive and negative decimals 24. Multiply and divide positive and negative fractions 25. Multiply and divide rational numbers

7.NS.A.3 Understand that equivalent rational numbers can be written as fractions, decimals and percents.		1. Convert fractions or mixed numbers to decimals 2. Convert decimals to fractions or mixed numbers 3. Convert between decimals and fractions or mixed numbers 4. Convert between percents, fractions, and decimals
7.NS.A.3 Understand that equivalent rational numbers can be written as fractions, decimals and percents.
1. Convert fractions or mixed numbers to decimals 2. Convert decimals to fractions or mixed numbers 3. Convert between decimals and fractions or mixed numbers 4. Convert between percents, fractions, and decimals

Checkpoint opportunity		1. Checkpoint: Add and subtract rational numbers 2. Checkpoint: Multiply and divide rational numbers
Checkpoint opportunity
1. Checkpoint: Add and subtract rational numbers 2. Checkpoint: Multiply and divide rational numbers

7.GM	Geometric Reasoning and Measurement
7.GM.A Draw, construct, and describe geometrical figures and describe the relationships between them.
7.GM.A.1 Solve problems involving scale drawings of geometric figures. Reproduce a scale drawing at a different scale and compute actual lengths and areas from a scale drawing.		Scale drawings 1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems Perimeter and area 4. Perimeter and area: changes in scale
7.GM.A.1 Solve problems involving scale drawings of geometric figures. Reproduce a scale drawing at a different scale and compute actual lengths and areas from a scale drawing.
Scale drawings 1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems Perimeter and area 4. Perimeter and area: changes in scale

7.GM.A.2 Draw triangles from three measures of angles or sides. Understand the possible side lengths and angle measures that determine a unique triangle, more than one triangle, or no triangle.		1. Triangle inequality 2. Graph triangles and quadrilaterals
7.GM.A.2 Draw triangles from three measures of angles or sides. Understand the possible side lengths and angle measures that determine a unique triangle, more than one triangle, or no triangle.
1. Triangle inequality 2. Graph triangles and quadrilaterals

Checkpoint opportunity		1. Checkpoint: Scale drawings
Checkpoint opportunity
1. Checkpoint: Scale drawings
7.GM.B Solve mathematical problems in authentic contexts involving angle measure, area, surface area, and volume.
7.GM.B.3 Understand the relationship between area and circumference of circles. Choose and use the appropriate formula to solve problems with radius, diameter, circumference and area of circles.		1. Parts of a circle 2. Circumference of circles 3. Area of circles 4. Circles: word problems
7.GM.B.3 Understand the relationship between area and circumference of circles. Choose and use the appropriate formula to solve problems with radius, diameter, circumference and area of circles.
1. Parts of a circle 2. Circumference of circles 3. Area of circles 4. Circles: word problems

7.GM.B.4 Apply facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to determine an unknown angle in a figure.		1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships
7.GM.B.4 Apply facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to determine an unknown angle in a figure.
1. Identify complementary, supplementary, vertical, and adjacent angles 2. Find measures of complementary, supplementary, vertical, and adjacent angles 3. Write and solve equations using angle relationships

7.GM.B.5 Solve problems in authentic contexts involving two- and three-dimensional figures. Given formulas, calculate area, volume and surface area.		Area 1. Area of rectangles and parallelograms 2. Area of triangles and trapezoids 3. Area of compound figures with triangles 4. Area between two shapes Volume 5. Volume of cubes and prisms 6. Volume of cubes and rectangular prisms: word problems 7. Volume of prisms: advanced Surface area 8. Surface area of cubes and prisms
7.GM.B.5 Solve problems in authentic contexts involving two- and three-dimensional figures. Given formulas, calculate area, volume and surface area.
Area 1. Area of rectangles and parallelograms 2. Area of triangles and trapezoids 3. Area of compound figures with triangles 4. Area between two shapes Volume 5. Volume of cubes and prisms 6. Volume of cubes and rectangular prisms: word problems 7. Volume of prisms: advanced Surface area 8. Surface area of cubes and prisms

Checkpoint opportunity		1. Checkpoint: Area, circumference, surface area, and volume • Coming soon: Checkpoint: Geometric reasoning
Checkpoint opportunity
1. Checkpoint: Area, circumference, surface area, and volume • Coming soon: Checkpoint: Geometric reasoning

7.DR	Data Reasoning
7.DR.A Formulate statistical investigative questions.
7.DR.A.1 Formulate summary, comparative investigative questions to gain information about a population and that a sample is valid only if the sample is representative of that population.		1. Populations and samples 2. Identify representative, random, and biased samples
7.DR.A.1 Formulate summary, comparative investigative questions to gain information about a population and that a sample is valid only if the sample is representative of that population.
1. Populations and samples 2. Identify representative, random, and biased samples
7.DR.B Collect and consider data.
7.DR.B.2 Collect or consider data from a random sample to compare and draw inferences about a population with an unknown characteristic of interest.		1. Estimate population size using proportions 2. Make inferences from multiple samples
7.DR.B.2 Collect or consider data from a random sample to compare and draw inferences about a population with an unknown characteristic of interest.
1. Estimate population size using proportions 2. Make inferences from multiple samples

Checkpoint opportunity		• Coming soon: Checkpoint: Samples of a population
Checkpoint opportunity
• Coming soon: Checkpoint: Samples of a population
7.DR.C Analyze, summarize, and describe data.
7.DR.C.3 Analyze two data distributions visually to compare multiple measures of center and variability.		1. Compare populations using measures of center and spread
7.DR.C.3 Analyze two data distributions visually to compare multiple measures of center and variability.
1. Compare populations using measures of center and spread
7.DR.D Interpret data and answer investigative questions.
7.DR.D.4 Interpret measures of center and measures of variability for numerical data from random samples to compare between two populations, and to answer investigative questions.		1. Compare populations using measures of center and spread
7.DR.D.4 Interpret measures of center and measures of variability for numerical data from random samples to compare between two populations, and to answer investigative questions.
1. Compare populations using measures of center and spread

Checkpoint opportunity		• Coming soon: Checkpoint: Compare two populations
Checkpoint opportunity
• Coming soon: Checkpoint: Compare two populations