IXL skill plan | Year 1 plan for IB Middle Years Programme

Skill plan for IB Middle Years Programme - Year 1

IXL provides skill alignments with recommended IXL skills for each branch of mathematical study. Find the IXL skills that are right for you below!

Branch of mathematical study

Numerical and abstract reasoning
Spatial reasoning
Reasoning with data

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Numerical and abstract reasoning
Number
Forms of numbers (fractions, decimals, and percentages) and transforming between them		Fractions 1. Convert between improper fractions and mixed numbers 2. Understand fractions as division: word problems Convert decimals and fractions 3. Convert fractions to decimals 4. Convert decimals to fractions 5. Convert between decimals and fractions 6. Convert between decimals and mixed numbers Percents 7. What percentage is illustrated? 8. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 Convert between fractions, decimals, and percents 9. Convert fractions to percents using grid models 10. Convert between percents, fractions, and decimals 11. Convert between percents, fractions, and decimals: word problems Order fractions, decimals, and percents 12. Put a mix of decimals and fractions in order 13. Put a mix of decimals, fractions, and mixed numbers in order
Forms of numbers (fractions, decimals, and percentages) and transforming between them
Fractions 1. Convert between improper fractions and mixed numbers 2. Understand fractions as division: word problems Convert decimals and fractions 3. Convert fractions to decimals 4. Convert decimals to fractions 5. Convert between decimals and fractions 6. Convert between decimals and mixed numbers Percents 7. What percentage is illustrated? 8. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50 Convert between fractions, decimals, and percents 9. Convert fractions to percents using grid models 10. Convert between percents, fractions, and decimals 11. Convert between percents, fractions, and decimals: word problems Order fractions, decimals, and percents 12. Put a mix of decimals and fractions in order 13. Put a mix of decimals, fractions, and mixed numbers in order

Factors of numbers		1. Identify factors 2. Find all the factor pairs of a number
Factors of numbers
1. Identify factors 2. Find all the factor pairs of a number

Integers		Understand integers 1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Understanding opposite integers Absolute value 5. Understanding absolute value 6. Absolute value 7. Integer inequalities with absolute values 8. Absolute value and integers: word problems Compare and order integers 9. Compare integers 10. Put integers in order
Integers
Understand integers 1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Understanding opposite integers Absolute value 5. Understanding absolute value 6. Absolute value 7. Integer inequalities with absolute values 8. Absolute value and integers: word problems Compare and order integers 9. Compare integers 10. Put integers in order

Number operations		Add and subtract whole numbers 1. Add and subtract whole numbers 2. Add and subtract whole numbers: word problems Multiply whole numbers 3. Multiply whole numbers 4. Multiply whole numbers: word problems 5. Multiply numbers ending in zeros 6. Multiply numbers ending in zeros: word problems Divide whole numbers 7. Division patterns with zeros 8. Divide numbers ending in zeros: word problems 9. Divide whole numbers - 2-digit divisors 10. Divide whole numbers - 3-digit divisors Mixed operations with whole numbers 11. Add, subtract, multiply, or divide two whole numbers 12. Add, subtract, multiply, or divide two whole numbers: word problems 13. Multi-step word problems Add and subtract decimals 14. Add and subtract decimal numbers 15. Add and subtract decimals: word problems 16. Complete the decimal addition or subtraction sentence Multiply and divide decimals 17. Multiply decimals 18. Divide decimals by whole numbers 19. Divide decimals by whole numbers: word problems 20. Division with decimal divisors 21. Multiply and divide decimals by powers of ten 22. Multiply and divide decimals: word problems Mixed operations with decimals 23. Add, subtract, multiply, or divide two decimals 24. Add, subtract, multiply, or divide two decimals: word problems Add and subtract fractions 25. Add and subtract fractions with like denominators 26. Add and subtract fractions with like denominators: word problems 27. Add and subtract fractions with unlike denominators 28. Add and subtract fractions with unlike denominators: word problems 29. Add and subtract mixed numbers 30. Add and subtract mixed numbers: word problems Multiply fractions and whole numbers 31. Multiply fractions by whole numbers I 32. Multiply fractions by whole numbers II 33. Multiply fractions by whole numbers: word problems Multiply fractions 34. Multiply two fractions 35. Multiply fractions: word problems 36. Multiply three or more fractions and whole numbers Multiply with mixed numbers 37. Multiply mixed numbers and whole numbers 38. Multiply mixed numbers 39. Multiply mixed numbers: word problems 40. Multiply three or more mixed numbers, fractions, and/or whole numbers Divide whole numbers and fractions 41. Reciprocals 42. Divide whole numbers and unit fractions 43. Divide whole numbers and fractions using models Divide fractions 44. Divide fractions by whole numbers in recipes 45. Divide fractions using models 46. Divide fractions Divide fractions and mixed numbers 47. Divide fractions and mixed numbers using models 48. Divide fractions and mixed numbers using models: word problems 49. Divide fractions and mixed numbers 50. Divide fractions and mixed numbers: word problems Mixed operations with fractions 51. Add, subtract, multiply, or divide two fractions 52. Add, subtract, multiply, or divide two fractions: word problems Order of operations 53. Evaluate numerical expressions one step at a time 54. Evaluate numerical expressions involving whole numbers 55. Identify mistakes involving the order of operations 56. Evaluate numerical expressions involving decimals 57. Evaluate numerical expressions involving fractions
Number operations
Add and subtract whole numbers 1. Add and subtract whole numbers 2. Add and subtract whole numbers: word problems Multiply whole numbers 3. Multiply whole numbers 4. Multiply whole numbers: word problems 5. Multiply numbers ending in zeros 6. Multiply numbers ending in zeros: word problems Divide whole numbers 7. Division patterns with zeros 8. Divide numbers ending in zeros: word problems 9. Divide whole numbers - 2-digit divisors 10. Divide whole numbers - 3-digit divisors Mixed operations with whole numbers 11. Add, subtract, multiply, or divide two whole numbers 12. Add, subtract, multiply, or divide two whole numbers: word problems 13. Multi-step word problems Add and subtract decimals 14. Add and subtract decimal numbers 15. Add and subtract decimals: word problems 16. Complete the decimal addition or subtraction sentence Multiply and divide decimals 17. Multiply decimals 18. Divide decimals by whole numbers 19. Divide decimals by whole numbers: word problems 20. Division with decimal divisors 21. Multiply and divide decimals by powers of ten 22. Multiply and divide decimals: word problems Mixed operations with decimals 23. Add, subtract, multiply, or divide two decimals 24. Add, subtract, multiply, or divide two decimals: word problems Add and subtract fractions 25. Add and subtract fractions with like denominators 26. Add and subtract fractions with like denominators: word problems 27. Add and subtract fractions with unlike denominators 28. Add and subtract fractions with unlike denominators: word problems 29. Add and subtract mixed numbers 30. Add and subtract mixed numbers: word problems Multiply fractions and whole numbers 31. Multiply fractions by whole numbers I 32. Multiply fractions by whole numbers II 33. Multiply fractions by whole numbers: word problems Multiply fractions 34. Multiply two fractions 35. Multiply fractions: word problems 36. Multiply three or more fractions and whole numbers Multiply with mixed numbers 37. Multiply mixed numbers and whole numbers 38. Multiply mixed numbers 39. Multiply mixed numbers: word problems 40. Multiply three or more mixed numbers, fractions, and/or whole numbers Divide whole numbers and fractions 41. Reciprocals 42. Divide whole numbers and unit fractions 43. Divide whole numbers and fractions using models Divide fractions 44. Divide fractions by whole numbers in recipes 45. Divide fractions using models 46. Divide fractions Divide fractions and mixed numbers 47. Divide fractions and mixed numbers using models 48. Divide fractions and mixed numbers using models: word problems 49. Divide fractions and mixed numbers 50. Divide fractions and mixed numbers: word problems Mixed operations with fractions 51. Add, subtract, multiply, or divide two fractions 52. Add, subtract, multiply, or divide two fractions: word problems Order of operations 53. Evaluate numerical expressions one step at a time 54. Evaluate numerical expressions involving whole numbers 55. Identify mistakes involving the order of operations 56. Evaluate numerical expressions involving decimals 57. Evaluate numerical expressions involving fractions

Prime numbers and prime factors		Prime or composite 1. Prime or composite Prime factorization 2. Prime factorization 3. Prime factorization with exponents
Prime numbers and prime factors
Prime or composite 1. Prime or composite Prime factorization 2. Prime factorization 3. Prime factorization with exponents

Greatest/highest common factor, lowest common multiple		Greatest common factor 1. Greatest common factor Least common multiple 2. Least common multiple GCF and LCM 3. GCF and LCM: word problems Factor numerical expressions 4. Factor numerical expressions using the distributive property
Greatest/highest common factor, lowest common multiple
Greatest common factor 1. Greatest common factor Least common multiple 2. Least common multiple GCF and LCM 3. GCF and LCM: word problems Factor numerical expressions 4. Factor numerical expressions using the distributive property

Recurring decimals		1. Convert between fractions and repeating decimals
Recurring decimals
1. Convert between fractions and repeating decimals

Number lines and simple inequalities		1. Solutions to inequalities 2. Graph inequalities on number lines
Number lines and simple inequalities
1. Solutions to inequalities 2. Graph inequalities on number lines

Ratios		Understand ratios 1. Write a ratio using a colon 2. Write a ratio using a fraction 3. Write a ratio: word problems 4. Which model represents the ratio? Equivalent ratios 5. Identify equivalent ratios 6. Write an equivalent ratio 7. Equivalent ratios: word problems Ratio tables 8. Ratio tables 9. Ratios and rates: complete a table and make a graph Rates 10. Unit rates 11. Rates: word problems 12. Compare rates: word problems Unit prices 13. Unit prices Solve percent problems with models 14. Solve percent problems using grid models 15. Solve percent problems using strip models Find part, whole, or percent 16. Percents of numbers and money amounts 17. Percents of numbers: word problems 18. Percents of numbers: fractional and decimal percents 19. Find what percent one number is of another 20. Find what percent one number is of another: word problems 21. Find the total given a part and a percent Solve percent problems 22. Solve percent problems 23. Solve percent word problems 24. Sale prices 25. Percents - calculate tax, tip, mark-up, and more Measurement 26. Convert between customary and metric systems 27. Convert and compare customary units 28. Convert and compare metric units
Ratios
Understand ratios 1. Write a ratio using a colon 2. Write a ratio using a fraction 3. Write a ratio: word problems 4. Which model represents the ratio? Equivalent ratios 5. Identify equivalent ratios 6. Write an equivalent ratio 7. Equivalent ratios: word problems Ratio tables 8. Ratio tables 9. Ratios and rates: complete a table and make a graph Rates 10. Unit rates 11. Rates: word problems 12. Compare rates: word problems Unit prices 13. Unit prices Solve percent problems with models 14. Solve percent problems using grid models 15. Solve percent problems using strip models Find part, whole, or percent 16. Percents of numbers and money amounts 17. Percents of numbers: word problems 18. Percents of numbers: fractional and decimal percents 19. Find what percent one number is of another 20. Find what percent one number is of another: word problems 21. Find the total given a part and a percent Solve percent problems 22. Solve percent problems 23. Solve percent word problems 24. Sale prices 25. Percents - calculate tax, tip, mark-up, and more Measurement 26. Convert between customary and metric systems 27. Convert and compare customary units 28. Convert and compare metric units

Exponents and powers		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
Exponents and powers
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

Squares and square roots		1. Square roots of perfect squares
Squares and square roots
1. Square roots of perfect squares

Time zones, clocks, and timetables		1. Time units 2. Elapsed time
Time zones, clocks, and timetables
1. Time units 2. Elapsed time
Algebra
Operating with algebraic expressions		Write expressions 1. Write variable expressions: one operation 2. Write variable expressions: two operations 3. Write variable expressions: word problems Equivalent expressions 4. Write equivalent expressions using properties 5. Add and subtract like terms 6. Identify equivalent expressions I 7. Identify equivalent expressions II
Operating with algebraic expressions
Write expressions 1. Write variable expressions: one operation 2. Write variable expressions: two operations 3. Write variable expressions: word problems Equivalent expressions 4. Write equivalent expressions using properties 5. Add and subtract like terms 6. Identify equivalent expressions I 7. Identify equivalent expressions II

Forming equations		One-variable equations 1. Write an equation from words 2. Solve one-step addition and subtraction equations: word problems 3. Solve one-step multiplication and division equations: word problems 4. Write a one-step equation: word problems 5. Solve one-step equations: word problems 6. Which word problem matches the one-step equation? Two-variable equations 7. Relationships between two variables: word problems 8. Write a two-variable equation from a table 9. Write a two-variable equation
Forming equations
One-variable equations 1. Write an equation from words 2. Solve one-step addition and subtraction equations: word problems 3. Solve one-step multiplication and division equations: word problems 4. Write a one-step equation: word problems 5. Solve one-step equations: word problems 6. Which word problem matches the one-step equation? Two-variable equations 7. Relationships between two variables: word problems 8. Write a two-variable equation from a table 9. Write a two-variable equation

Transposing and solving simple equations		Solutions to equations 1. Does x satisfy an equation? 2. Which x satisfies an equation? Equation models 3. Model and solve equations using algebra tiles 4. Model and solve equations using diagrams Solve equations 5. Solve one-step addition and subtraction equations with whole numbers 6. Solve one-step multiplication and division equations with whole numbers 7. Solve one-step equations with whole numbers 8. Solve one-step addition and subtraction equations with decimals and fractions 9. Solve one-step multiplication and division equations with decimals and fractions
Transposing and solving simple equations
Solutions to equations 1. Does x satisfy an equation? 2. Which x satisfies an equation? Equation models 3. Model and solve equations using algebra tiles 4. Model and solve equations using diagrams Solve equations 5. Solve one-step addition and subtraction equations with whole numbers 6. Solve one-step multiplication and division equations with whole numbers 7. Solve one-step equations with whole numbers 8. Solve one-step addition and subtraction equations with decimals and fractions 9. Solve one-step multiplication and division equations with decimals and fractions

Substitution into expressions		1. Evaluate variable expressions with whole numbers 2. Evaluate multi-variable expressions 3. Evaluate variable expressions with decimals, fractions, and mixed numbers 4. Evaluate variable expressions: word problems
Substitution into expressions
1. Evaluate variable expressions with whole numbers 2. Evaluate multi-variable expressions 3. Evaluate variable expressions with decimals, fractions, and mixed numbers 4. Evaluate variable expressions: word problems

Expanding brackets		1. Multiply using the distributive property: area models 2. Multiply using the distributive property
Expanding brackets
1. Multiply using the distributive property: area models 2. Multiply using the distributive property

Factorizing algebraic expressions		1. Identify terms and coefficients 2. Sort factors of variable expressions 3. Factor variable expressions: area models 4. Factor variable expressions using the distributive property
Factorizing algebraic expressions
1. Identify terms and coefficients 2. Sort factors of variable expressions 3. Factor variable expressions: area models 4. Factor variable expressions using the distributive property

Using formulae		1. Convert between Celsius and Fahrenheit 2. Simple interest
Using formulae
1. Convert between Celsius and Fahrenheit 2. Simple interest

Flowcharts and simple algorithms
Flowcharts and simple algorithms

Spatial reasoning
Geometry
Classifying shapes and angles		Angles 1. Measure and classify angles 2. Estimate angle measurements 3. Name angles 4. Complementary and supplementary angles 5. Identify complementary, supplementary, vertical, adjacent, and congruent angles Polygons 6. Identify and classify polygons Triangles 7. Classify triangles 8. Triangle inequality Trapezoids 9. Identify trapezoids Quadrilaterals 10. Classify quadrilaterals
Classifying shapes and angles
Angles 1. Measure and classify angles 2. Estimate angle measurements 3. Name angles 4. Complementary and supplementary angles 5. Identify complementary, supplementary, vertical, adjacent, and congruent angles Polygons 6. Identify and classify polygons Triangles 7. Classify triangles 8. Triangle inequality Trapezoids 9. Identify trapezoids Quadrilaterals 10. Classify quadrilaterals

Calculations with angle properties		Angles in triangles 1. Find missing angles in triangles 2. Find missing angles in special triangles Angles in quadrilaterals 3. Find missing angles in quadrilaterals Angles in polygons 4. Sums of angles in polygons Angle relationships 5. Find measures of complementary, supplementary, vertical, and adjacent angles
Calculations with angle properties
Angles in triangles 1. Find missing angles in triangles 2. Find missing angles in special triangles Angles in quadrilaterals 3. Find missing angles in quadrilaterals Angles in polygons 4. Sums of angles in polygons Angle relationships 5. Find measures of complementary, supplementary, vertical, and adjacent angles

Parallel lines and transversals		1. Parallel, perpendicular, and intersecting lines
Parallel lines and transversals
1. Parallel, perpendicular, and intersecting lines

Perimeter (circumference), area, and volume		Perimeter 1. Perimeter Area of quadrilaterals 2. Area of rectangles and squares 3. Understanding area of a parallelogram 4. Area of parallelograms 5. Understanding area of a trapezoid 6. Area of trapezoids 7. Area of rhombuses 8. Area of quadrilaterals Area of triangles 9. Understanding area of a triangle 10. Area of triangles Area of compound figures 11. Area of compound figures 12. Area of compound figures with triangles Area between shapes 13. Area between two rectangles 14. Area between two triangles 15. Area of quadrilaterals and triangles: word problems Perimeter and area 16. Rectangles: relationship between perimeter and area 17. Compare area and perimeter of two figures Volume of rectangular prisms 18. Volume of cubes and rectangular prisms 19. Volume of cubes and rectangular prisms with fractional side lengths 20. Volume of cubes and rectangular prisms: word problems Volume of triangular prisms 21. Volume of triangular prisms
Perimeter (circumference), area, and volume
Perimeter 1. Perimeter Area of quadrilaterals 2. Area of rectangles and squares 3. Understanding area of a parallelogram 4. Area of parallelograms 5. Understanding area of a trapezoid 6. Area of trapezoids 7. Area of rhombuses 8. Area of quadrilaterals Area of triangles 9. Understanding area of a triangle 10. Area of triangles Area of compound figures 11. Area of compound figures 12. Area of compound figures with triangles Area between shapes 13. Area between two rectangles 14. Area between two triangles 15. Area of quadrilaterals and triangles: word problems Perimeter and area 16. Rectangles: relationship between perimeter and area 17. Compare area and perimeter of two figures Volume of rectangular prisms 18. Volume of cubes and rectangular prisms 19. Volume of cubes and rectangular prisms with fractional side lengths 20. Volume of cubes and rectangular prisms: word problems Volume of triangular prisms 21. Volume of triangular prisms

Surface area and nets		Nets 1. Nets of three-dimensional figures 2. Front, side, and top view Surface area 3. Surface area of cubes and rectangular prisms 4. Surface area of triangular prisms 5. Surface area of pyramids Surface area and volume 6. Relate volume and surface area
Surface area and nets
Nets 1. Nets of three-dimensional figures 2. Front, side, and top view Surface area 3. Surface area of cubes and rectangular prisms 4. Surface area of triangular prisms 5. Surface area of pyramids Surface area and volume 6. Relate volume and surface area

Coordinates		1. Describe the coordinate plane 2. Objects on a coordinate plane 3. Graph points on a coordinate plane 4. Quadrants 5. Coordinate planes as maps 6. Follow directions on a coordinate plane
Coordinates
1. Describe the coordinate plane 2. Objects on a coordinate plane 3. Graph points on a coordinate plane 4. Quadrants 5. Coordinate planes as maps 6. Follow directions on a coordinate plane

Symmetry and reflection		1. Line symmetry 2. Reflect a point over an axis
Symmetry and reflection
1. Line symmetry 2. Reflect a point over an axis

Reasoning with data
Reasoning with data
Simple discrete data and classifications		1. Create line plots 2. Interpret line plots 3. Create and interpret line plots with fractions
Simple discrete data and classifications
1. Create line plots 2. Interpret line plots 3. Create and interpret line plots with fractions

Data collection and generation (including surveys)		1. Create frequency tables
Data collection and generation (including surveys)
1. Create frequency tables

Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)		Bar graphs 1. Create bar graphs 2. Interpret bar graphs 3. Create double bar graphs 4. Interpret double bar graphs Histograms 5. Create histograms 6. Interpret histograms Circle graphs 7. Interpret circle graphs Line graphs 8. Create line graphs 9. Interpret line graphs 10. Create double line graphs 11. Interpret double line graphs Stem-and-leaf plots 12. Create stem-and-leaf plots 13. Interpret stem-and-leaf plots
Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)
Bar graphs 1. Create bar graphs 2. Interpret bar graphs 3. Create double bar graphs 4. Interpret double bar graphs Histograms 5. Create histograms 6. Interpret histograms Circle graphs 7. Interpret circle graphs Line graphs 8. Create line graphs 9. Interpret line graphs 10. Create double line graphs 11. Interpret double line graphs Stem-and-leaf plots 12. Create stem-and-leaf plots 13. Interpret stem-and-leaf plots

Data visualizations and infographics
Data visualizations and infographics


Data processing: measure of central tendency (mean, mode, and median) for discrete and grouped data Measures of dispersion: range		Measures of center and spread 1. Calculate mean, median, mode, and range 2. Interpret charts and graphs to find mean, median, mode, and range 3. Mean, median, mode, and range: find the missing number 4. Changes in mean, median, mode, and range 5. Describe distributions in line plots Outliers 6. Identify an outlier 7. Identify an outlier and describe the effect of removing it
Data processing: measure of central tendency (mean, mode, and median) for discrete and grouped data Measures of dispersion: range
Measures of center and spread 1. Calculate mean, median, mode, and range 2. Interpret charts and graphs to find mean, median, mode, and range 3. Mean, median, mode, and range: find the missing number 4. Changes in mean, median, mode, and range 5. Describe distributions in line plots Outliers 6. Identify an outlier 7. Identify an outlier and describe the effect of removing it

Limitations and context in statistical enquiry		1. Populations and samples 2. Identify statistical questions 3. Identify representative, random, and biased samples
Limitations and context in statistical enquiry
1. Populations and samples 2. Identify statistical questions 3. Identify representative, random, and biased samples

Qualitative handling of probability		1. Understanding probability
Qualitative handling of probability
1. Understanding probability

Probability of simple events		1. Probability of one event
Probability of simple events
1. Probability of one event

Sample spaces		1. Sample spaces of simple events
Sample spaces
1. Sample spaces of simple events

Probability scale, including significance of number
Probability scale, including significance of number


Theoretical probability and experimental probability		1. Probability of simple events and opposite events 2. Experimental probability
Theoretical probability and experimental probability
1. Probability of simple events and opposite events 2. Experimental probability

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