IXL Skill Plan | Pennsylvania Core Standards: Grade 6

Pennsylvania Core Standards: Grade 6

Skills available for Pennsylvania Grade 6 math standards

Section

Numbers and Operations
Algebraic Concepts
Geometry
Measurement, Data, and Probability

Print skill plan

CC.2.1.6	Numbers and Operations
CC.2.1.6.D Ratios & Proportional Relationships
CC.2.1.6.D.1 Understand ratio concepts and use ratio reasoning to solve problems.		Write ratios 1. Write a ratio using a colon 2. Write a ratio: word problems 3. Which model represents the ratio? Equivalent ratios 4. Identify equivalent ratios 5. Equivalent ratios: word problems Ratio tables 6. Ratio tables Unit rates 7. Unit rates 8. Calculate speed, distance, or time: word problems 9. Ratios and rates: complete a table and make a graph 10. Compare rates: word problems 11. Ratios and rates: word problems 12. Unit prices with fractions and decimals Compare ratios 13. Compare ratios: word problems Percents 14. What percentage is illustrated? 15. Percents of numbers and money amounts 16. Percents of numbers: word problems 17. Find the total given a part and a percent 18. Which is the better coupon? 19. Sale prices
CC.2.1.6.D.1 Understand ratio concepts and use ratio reasoning to solve problems.
Write ratios 1. Write a ratio using a colon 2. Write a ratio: word problems 3. Which model represents the ratio? Equivalent ratios 4. Identify equivalent ratios 5. Equivalent ratios: word problems Ratio tables 6. Ratio tables Unit rates 7. Unit rates 8. Calculate speed, distance, or time: word problems 9. Ratios and rates: complete a table and make a graph 10. Compare rates: word problems 11. Ratios and rates: word problems 12. Unit prices with fractions and decimals Compare ratios 13. Compare ratios: word problems Percents 14. What percentage is illustrated? 15. Percents of numbers and money amounts 16. Percents of numbers: word problems 17. Find the total given a part and a percent 18. Which is the better coupon? 19. Sale prices

Checkpoint opportunity		1. Checkpoint: Ratio concepts 2. Checkpoint: Unit rates 3. Checkpoint: Percents
Checkpoint opportunity
1. Checkpoint: Ratio concepts 2. Checkpoint: Unit rates 3. Checkpoint: Percents
CC.2.1.6.E The Number System
CC.2.1.6.E.1 Apply and extend previous understandings of multiplication and division to divide fractions by fractions.		Divide whole numbers by fractions 1. Divide whole numbers by unit fractions using models 2. Divide whole numbers and fractions using models 3. Divide fractions by whole numbers in recipes Divide fractions 4. Reciprocals 5. Divide fractions using models 6. Divide fractions Divide fractions and mixed numbers 7. Estimate quotients when dividing mixed numbers 8. Divide fractions and mixed numbers using models 9. Divide fractions and mixed numbers 10. Divide fractions and mixed numbers using models: word problems 11. Divide fractions and mixed numbers: word problems
CC.2.1.6.E.1 Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Divide whole numbers by fractions 1. Divide whole numbers by unit fractions using models 2. Divide whole numbers and fractions using models 3. Divide fractions by whole numbers in recipes Divide fractions 4. Reciprocals 5. Divide fractions using models 6. Divide fractions Divide fractions and mixed numbers 7. Estimate quotients when dividing mixed numbers 8. Divide fractions and mixed numbers using models 9. Divide fractions and mixed numbers 10. Divide fractions and mixed numbers using models: word problems 11. Divide fractions and mixed numbers: word problems

Checkpoint opportunity		1. Checkpoint: Divide fractions
Checkpoint opportunity
1. Checkpoint: Divide fractions

CC.2.1.6.E.2 Identify and choose appropriate processes to compute fluently with multi-digit numbers.		1. Add, subtract, multiply, or divide two whole numbers 2. Add, subtract, multiply, or divide two whole numbers: word problems 3. Add, subtract, multiply, or divide two decimals 4. Add, subtract, multiply, or divide two decimals: word problems
CC.2.1.6.E.2 Identify and choose appropriate processes to compute fluently with multi-digit numbers.
1. Add, subtract, multiply, or divide two whole numbers 2. Add, subtract, multiply, or divide two whole numbers: word problems 3. Add, subtract, multiply, or divide two decimals 4. Add, subtract, multiply, or divide two decimals: word problems

Checkpoint opportunity		1. Checkpoint: Operations with whole numbers and decimals
Checkpoint opportunity
1. Checkpoint: Operations with whole numbers and decimals

CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.		Identify factors 1. Identify factors 2. Find all the factor pairs of a number GCF and LCM 3. Greatest common factor 4. Least common multiple 5. GCF and LCM: word problems
CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.
Identify factors 1. Identify factors 2. Find all the factor pairs of a number GCF and LCM 3. Greatest common factor 4. Least common multiple 5. GCF and LCM: word problems

Checkpoint opportunity		1. Checkpoint: Factors and multiples
Checkpoint opportunity
1. Checkpoint: Factors and multiples

CC.2.1.6.E.4 Apply and extend previous understandings of numbers to the system of rational numbers.		Understand integers 1. Understanding integers Opposite numbers 2. Understanding opposite integers 3. Rational numbers: find the sign Number lines 4. Decimal number lines 5. Integers on number lines 6. Graph integers on horizontal and vertical number lines 7. Rational numbers on number lines Compare and order 8. Compare integers 9. Compare and order rational numbers using number lines 10. Compare rational numbers 11. Put rational numbers in order 12. Compare and order rational numbers: word problems 13. Compare temperatures above and below zero Absolute value 14. Understanding absolute value 15. Absolute value 16. Absolute value and integers: word problems 17. Absolute value of rational numbers Coordinate plane 18. Objects on a coordinate plane 19. Graph points on a coordinate plane 20. Coordinate planes as maps 21. Distance between two points 22. Follow directions on a coordinate plane
CC.2.1.6.E.4 Apply and extend previous understandings of numbers to the system of rational numbers.
Understand integers 1. Understanding integers Opposite numbers 2. Understanding opposite integers 3. Rational numbers: find the sign Number lines 4. Decimal number lines 5. Integers on number lines 6. Graph integers on horizontal and vertical number lines 7. Rational numbers on number lines Compare and order 8. Compare integers 9. Compare and order rational numbers using number lines 10. Compare rational numbers 11. Put rational numbers in order 12. Compare and order rational numbers: word problems 13. Compare temperatures above and below zero Absolute value 14. Understanding absolute value 15. Absolute value 16. Absolute value and integers: word problems 17. Absolute value of rational numbers Coordinate plane 18. Objects on a coordinate plane 19. Graph points on a coordinate plane 20. Coordinate planes as maps 21. Distance between two points 22. Follow directions on a coordinate plane

Checkpoint opportunity		• Coming soon: Checkpoint: Positive and negative numbers • Coming soon: Checkpoint: The coordinate plane
Checkpoint opportunity
• Coming soon: Checkpoint: Positive and negative numbers • Coming soon: Checkpoint: The coordinate plane

CC.2.2.6	Algebraic Concepts
CC.2.2.6.B Expressions and Equations
CC.2.2.6.B.1 Apply and extend previous understandings of arithmetic to algebraic expressions.		Expressions with exponents 1. Write multiplication expressions using exponents 2. Evaluate powers with whole number bases 3. Write powers of ten with exponents 4. Find the missing exponent or base 5. Evaluate powers with decimal bases 6. Evaluate powers with fractional bases 7. Evaluate powers with whole number, decimal, and fractional bases Order of operations 8. Evaluate numerical expressions one step at a time 9. Evaluate numerical expressions involving decimals 10. Evaluate numerical expressions involving fractions 11. Evaluate numerical expressions involving integers Write variable expressions 12. Write variable expressions: one operation 13. Write variable expressions: two operations Parts of variable expressions 14. Identify terms and coefficients 15. Sort factors of variable expressions Evaluate variable expressions 16. Convert between Celsius and Fahrenheit 17. Evaluate variable expressions with whole numbers 18. Evaluate multi-variable expressions 19. Evaluate variable expressions with decimals, fractions, and mixed numbers 20. Evaluate variable expressions: word problems 21. Find a value using two-variable equations: word problems Properties 22. Multiply using the distributive property: area models 23. Multiply using the distributive property 24. Factor numerical expressions using the distributive property 25. Factor variable expressions using the distributive property 26. Write equivalent expressions using properties 27. Add and subtract like terms
CC.2.2.6.B.1 Apply and extend previous understandings of arithmetic to algebraic expressions.
Expressions with exponents 1. Write multiplication expressions using exponents 2. Evaluate powers with whole number bases 3. Write powers of ten with exponents 4. Find the missing exponent or base 5. Evaluate powers with decimal bases 6. Evaluate powers with fractional bases 7. Evaluate powers with whole number, decimal, and fractional bases Order of operations 8. Evaluate numerical expressions one step at a time 9. Evaluate numerical expressions involving decimals 10. Evaluate numerical expressions involving fractions 11. Evaluate numerical expressions involving integers Write variable expressions 12. Write variable expressions: one operation 13. Write variable expressions: two operations Parts of variable expressions 14. Identify terms and coefficients 15. Sort factors of variable expressions Evaluate variable expressions 16. Convert between Celsius and Fahrenheit 17. Evaluate variable expressions with whole numbers 18. Evaluate multi-variable expressions 19. Evaluate variable expressions with decimals, fractions, and mixed numbers 20. Evaluate variable expressions: word problems 21. Find a value using two-variable equations: word problems Properties 22. Multiply using the distributive property: area models 23. Multiply using the distributive property 24. Factor numerical expressions using the distributive property 25. Factor variable expressions using the distributive property 26. Write equivalent expressions using properties 27. Add and subtract like terms

Checkpoint opportunity		1. Checkpoint: Numerical expressions with exponents • Coming soon: Checkpoint: Expressions with variables
Checkpoint opportunity
1. Checkpoint: Numerical expressions with exponents • Coming soon: Checkpoint: Expressions with variables

CC.2.2.6.B.2 Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.		Solutions of equations and inequalities 1. Does x satisfy an equation? 2. Which x satisfies an equation? 3. Solutions to inequalities Equation models 4. Model and solve equations using algebra tiles 5. Write and solve equations that represent diagrams Solve equations 6. Solve for a variable using properties of multiplication 7. Solve one-step addition and subtraction equations with whole numbers 8. Solve one-step multiplication and division equations with whole numbers 9. Solve one-step equations with whole numbers 10. Solve one-step multiplication and division equations with decimals and fractions 11. Solve one-step equations with decimals and fractions 12. Solve one-step equations: word problems 13. Which word problem matches the one-step equation? Inequalities 14. Graph inequalities on number lines 15. Write inequalities from number lines 16. Write and graph inequalities: word problems 17. Solve one-step inequalities
CC.2.2.6.B.2 Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.
Solutions of equations and inequalities 1. Does x satisfy an equation? 2. Which x satisfies an equation? 3. Solutions to inequalities Equation models 4. Model and solve equations using algebra tiles 5. Write and solve equations that represent diagrams Solve equations 6. Solve for a variable using properties of multiplication 7. Solve one-step addition and subtraction equations with whole numbers 8. Solve one-step multiplication and division equations with whole numbers 9. Solve one-step equations with whole numbers 10. Solve one-step multiplication and division equations with decimals and fractions 11. Solve one-step equations with decimals and fractions 12. Solve one-step equations: word problems 13. Which word problem matches the one-step equation? Inequalities 14. Graph inequalities on number lines 15. Write inequalities from number lines 16. Write and graph inequalities: word problems 17. Solve one-step inequalities

Checkpoint opportunity		1. Checkpoint: Understand and solve equations • Coming soon: Checkpoint: Inequalities
Checkpoint opportunity
1. Checkpoint: Understand and solve equations • Coming soon: Checkpoint: Inequalities

CC.2.2.6.B.3 Represent and analyze quantitative relationships between dependent and independent variables.		Independent and dependent variables 1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables: word problems Find values using equations 3. Find a value using two-variable equations 4. Find a value using two-variable equations: word problems 5. Complete a table for a two-variable relationship Write equations 6. Write an equation from a graph using a table 7. Relationships between two variables: word problems 8. Write a two-variable equation Make and use graphs 9. Identify the graph of an equation 10. Graph a relationship between two variables 11. Interpret a graph: word problems
CC.2.2.6.B.3 Represent and analyze quantitative relationships between dependent and independent variables.
Independent and dependent variables 1. Identify independent and dependent variables in tables and graphs 2. Identify independent and dependent variables: word problems Find values using equations 3. Find a value using two-variable equations 4. Find a value using two-variable equations: word problems 5. Complete a table for a two-variable relationship Write equations 6. Write an equation from a graph using a table 7. Relationships between two variables: word problems 8. Write a two-variable equation Make and use graphs 9. Identify the graph of an equation 10. Graph a relationship between two variables 11. Interpret a graph: word problems

Checkpoint opportunity		• Coming soon: Checkpoint: Two-variable relationships
Checkpoint opportunity
• Coming soon: Checkpoint: Two-variable relationships

CC.2.3.6	Geometry
CC.2.3.6.A Geometry
CC.2.3.6.A.1 Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume.		Area of triangles and quadrilaterals 1. Understanding area of a parallelogram 2. Area of triangles 3. Area of trapezoids 4. Area of quadrilaterals 5. Area between two rectangles 6. Area between two triangles 7. Area of quadrilaterals and triangles: word problems Area of compound figures 8. Area of compound figures 9. Area of compound figures with triangles Relate area and perimeter 10. Rectangles: relationship between perimeter and area 11. Compare area and perimeter of two figures Nets 12. Nets of three-dimensional figures Volume and surface area 13. Volume of cubes and rectangular prisms 14. Volume of cubes and rectangular prisms with fractional side lengths 15. Surface area of cubes and rectangular prisms 16. Volume of triangular prisms
CC.2.3.6.A.1 Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume.
Area of triangles and quadrilaterals 1. Understanding area of a parallelogram 2. Area of triangles 3. Area of trapezoids 4. Area of quadrilaterals 5. Area between two rectangles 6. Area between two triangles 7. Area of quadrilaterals and triangles: word problems Area of compound figures 8. Area of compound figures 9. Area of compound figures with triangles Relate area and perimeter 10. Rectangles: relationship between perimeter and area 11. Compare area and perimeter of two figures Nets 12. Nets of three-dimensional figures Volume and surface area 13. Volume of cubes and rectangular prisms 14. Volume of cubes and rectangular prisms with fractional side lengths 15. Surface area of cubes and rectangular prisms 16. Volume of triangular prisms

Checkpoint opportunity		• Coming soon: Checkpoint: Area of polygons • Coming soon: Checkpoint: Surface area and volume
Checkpoint opportunity
• Coming soon: Checkpoint: Area of polygons • Coming soon: Checkpoint: Surface area and volume

CC.2.4.6	Measurement, Data, and Probability
CC.2.4.6.B Statistics and Probability
CC.2.4.6.B.1 Demonstrate an understanding of statistical variability by displaying, analyzing, and summarizing distributions.		Line plots 1. Create line plots 2. Interpret line plots 3. Describe distributions in line plots Histograms 4. Create histograms 5. Interpret histograms Box-and-whisker plots 6. Box plots Measures of center and variability 7. Calculate mean, median, mode, and range 8. Interpret charts and graphs to find mean, median, mode, and range 9. Mean, median, mode, and range: find the missing number 10. Calculate mean absolute deviation 11. Calculate quartiles and interquartile range 12. Interpret measures of center and variability 13. Choose appropriate measures of center and variation Outliers 14. Identify an outlier and describe the effect of removing it Statistical questions 15. Identify statistical questions
CC.2.4.6.B.1 Demonstrate an understanding of statistical variability by displaying, analyzing, and summarizing distributions.
Line plots 1. Create line plots 2. Interpret line plots 3. Describe distributions in line plots Histograms 4. Create histograms 5. Interpret histograms Box-and-whisker plots 6. Box plots Measures of center and variability 7. Calculate mean, median, mode, and range 8. Interpret charts and graphs to find mean, median, mode, and range 9. Mean, median, mode, and range: find the missing number 10. Calculate mean absolute deviation 11. Calculate quartiles and interquartile range 12. Interpret measures of center and variability 13. Choose appropriate measures of center and variation Outliers 14. Identify an outlier and describe the effect of removing it Statistical questions 15. Identify statistical questions

Checkpoint opportunity		• Coming soon: Checkpoint: Statistical questions and numerical data
Checkpoint opportunity
• Coming soon: Checkpoint: Statistical questions and numerical data