IXL skill plan | Year 2 plan for IB Middle Years Programme

Skill plan for IB Middle Years Programme - Year 2

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		Decimals 1. Decimal numbers review 2. Compare and order decimals Fractions 3. Understanding fractions: word problems 4. Equivalent fractions 5. Write fractions in lowest terms 6. Convert between mixed numbers and improper fractions 7. Compare and order fractions 8. Compare fractions: word problems 9. Compare mixed numbers and improper fractions Percents 10. What percentage is illustrated? Compare fractions, decimals, and percents 11. Compare percents to fractions and decimals Convert between fractions, decimals, and percents 12. Convert fractions or mixed numbers to decimals 13. Convert decimals to fractions or mixed numbers 14. Convert between decimals and fractions or mixed numbers 15. Convert between percents, fractions, and decimals
Forms of numbers (fractions, decimals, and percentages) and transforming between them
Decimals 1. Decimal numbers review 2. Compare and order decimals Fractions 3. Understanding fractions: word problems 4. Equivalent fractions 5. Write fractions in lowest terms 6. Convert between mixed numbers and improper fractions 7. Compare and order fractions 8. Compare fractions: word problems 9. Compare mixed numbers and improper fractions Percents 10. What percentage is illustrated? Compare fractions, decimals, and percents 11. Compare percents to fractions and decimals Convert between fractions, decimals, and percents 12. Convert fractions or mixed numbers to decimals 13. Convert decimals to fractions or mixed numbers 14. Convert between decimals and fractions or mixed numbers 15. Convert between percents, fractions, and decimals

Factors of numbers		1. Sort factors of numerical expressions
Factors of numbers
1. Sort factors of numerical expressions

Integers		Absolute value 1. Absolute value and opposite integers Opposites 2. Quantities that combine to zero: word problems Compare and order integers 3. Compare and order integers Add integers 4. Add integers using counters 5. Add integers using number lines 6. Integer addition rules 7. Add integers 8. Add three or more integers Subtract integers 9. Subtract integers using counters 10. Subtract integers using number lines 11. Integer subtraction rules 12. Subtract integers Add and subtract integers 13. Add and subtract integers using counters 14. Integer addition and subtraction rules 15. Add and subtract integers 16. Complete addition and subtraction equations with integers 17. Add and subtract integers: word problems Multiply integers 18. Understand multiplying by a negative integer using a number line 19. Integer multiplication rules 20. Multiply integers Divide integers 21. Integer division rules 22. Equal quotients of integers 23. Divide integers Multiplication and division of integers 24. Integer multiplication and division rules 25. Complete multiplication and division equations with integers 26. Multiply and divide integers Mixed operations 27. Add, subtract, multiply, and divide integers
Integers
Absolute value 1. Absolute value and opposite integers Opposites 2. Quantities that combine to zero: word problems Compare and order integers 3. Compare and order integers Add integers 4. Add integers using counters 5. Add integers using number lines 6. Integer addition rules 7. Add integers 8. Add three or more integers Subtract integers 9. Subtract integers using counters 10. Subtract integers using number lines 11. Integer subtraction rules 12. Subtract integers Add and subtract integers 13. Add and subtract integers using counters 14. Integer addition and subtraction rules 15. Add and subtract integers 16. Complete addition and subtraction equations with integers 17. Add and subtract integers: word problems Multiply integers 18. Understand multiplying by a negative integer using a number line 19. Integer multiplication rules 20. Multiply integers Divide integers 21. Integer division rules 22. Equal quotients of integers 23. Divide integers Multiplication and division of integers 24. Integer multiplication and division rules 25. Complete multiplication and division equations with integers 26. Multiply and divide integers Mixed operations 27. Add, subtract, multiply, and divide integers

Number operations		Decimal operations 1. Add and subtract positive and negative decimals 2. Multiply and divide positive and negative decimals Fraction operations 3. Add and subtract positive and negative fractions 4. Multiply and divide positive and negative fractions Rational number operations 5. Add and subtract rational numbers 6. Multiply and divide rational numbers 7. Multi-step word problems with positive rational numbers Order of operations 8. Evaluate numerical expressions involving integers 9. Evaluate numerical expressions involving decimals 10. Evaluate numerical expressions involving fractions
Number operations
Decimal operations 1. Add and subtract positive and negative decimals 2. Multiply and divide positive and negative decimals Fraction operations 3. Add and subtract positive and negative fractions 4. Multiply and divide positive and negative fractions Rational number operations 5. Add and subtract rational numbers 6. Multiply and divide rational numbers 7. Multi-step word problems with positive rational numbers Order of operations 8. Evaluate numerical expressions involving integers 9. Evaluate numerical expressions involving decimals 10. Evaluate numerical expressions involving fractions

Prime numbers and prime factors		1. Prime factorization
Prime numbers and prime factors
1. Prime factorization

Greatest/highest common factor, lowest common multiple		1. Greatest common factor 2. Least common multiple
Greatest/highest common factor, lowest common multiple
1. Greatest common factor 2. Least common multiple

Recurring decimals		1. Convert fractions or mixed numbers to repeating decimals 2. Write a repeating decimal as a fraction
Recurring decimals
1. Convert fractions or mixed numbers to repeating decimals 2. Write a repeating decimal as a fraction

Number lines and simple inequalities		1. Write inequalities from number lines 2. Write and graph inequalities: word problems
Number lines and simple inequalities
1. Write inequalities from number lines 2. Write and graph inequalities: word problems

Ratios		Ratios 1. Identify equivalent ratios 2. Equivalent ratios: word problems 3. Compare ratios: word problems Unit prices 4. Unit prices with unit conversions 5. Unit prices: find the total price Proportions 6. Do the ratios form a proportion? 7. Do the ratios form a proportion: word problems 8. Solve proportions 9. Solve proportions: word problems 10. Estimate population size using proportions Proportional relationships 11. Identify proportional relationships from tables 12. Find the constant of proportionality from a table 13. Write equations for proportional relationships from tables Percent of a number 14. Estimate percents of numbers 15. Percents of numbers and money amounts 16. Percents of numbers: word problems 17. Percent of a number: tax, discount, and more Percent equations 18. Solve percent equations 19. Solve percent equations: word problems Percent of change 20. Percent of change 21. Percent of change: word problems Solve percent problems 22. Solve percent problems using strip models 23. Find the percent: tax, discount, and more 24. Sale prices: find the original price
Ratios
Ratios 1. Identify equivalent ratios 2. Equivalent ratios: word problems 3. Compare ratios: word problems Unit prices 4. Unit prices with unit conversions 5. Unit prices: find the total price Proportions 6. Do the ratios form a proportion? 7. Do the ratios form a proportion: word problems 8. Solve proportions 9. Solve proportions: word problems 10. Estimate population size using proportions Proportional relationships 11. Identify proportional relationships from tables 12. Find the constant of proportionality from a table 13. Write equations for proportional relationships from tables Percent of a number 14. Estimate percents of numbers 15. Percents of numbers and money amounts 16. Percents of numbers: word problems 17. Percent of a number: tax, discount, and more Percent equations 18. Solve percent equations 19. Solve percent equations: word problems Percent of change 20. Percent of change 21. Percent of change: word problems Solve percent problems 22. Solve percent problems using strip models 23. Find the percent: tax, discount, and more 24. Sale prices: find the original price

Exponents and powers		1. Understanding exponents 2. Solve equations with variable exponents 3. Powers with negative bases 4. Powers with decimal and fractional bases 5. Powers of ten 6. Evaluate numerical expressions involving exponents
Exponents and powers
1. Understanding exponents 2. Solve equations with variable exponents 3. Powers with negative bases 4. Powers with decimal and fractional bases 5. Powers of ten 6. Evaluate numerical expressions involving exponents

Squares and square roots		1. Square roots of perfect squares 2. Estimate square roots
Squares and square roots
1. Square roots of perfect squares 2. Estimate square roots

Time zones, clocks, and timetables		1. Find start and end times
Time zones, clocks, and timetables
1. Find start and end times
Algebra
Operating with algebraic expressions		Write expressions 1. Write variable expressions: two or three operations 2. Write variable expressions: word problems Simplify expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms Add and subtract expressions 5. Add and subtract linear expressions 6. Add and subtract like terms: with exponents Equivalent expressions 7. Identify equivalent linear expressions using algebra tiles 8. Identify equivalent linear expressions I
Operating with algebraic expressions
Write expressions 1. Write variable expressions: two or three operations 2. Write variable expressions: word problems Simplify expressions 3. Simplify expressions by combining like terms: with algebra tiles 4. Simplify expressions by combining like terms Add and subtract expressions 5. Add and subtract linear expressions 6. Add and subtract like terms: with exponents Equivalent expressions 7. Identify equivalent linear expressions using algebra tiles 8. Identify equivalent linear expressions I

Forming equations		One-variable equations 1. Write an equation from words 2. Write and solve equations that represent diagrams 3. Choose two-step equations: word problems 4. Solve two-step equations: word problems Two-variable equations 5. Write a two-variable equation
Forming equations
One-variable equations 1. Write an equation from words 2. Write and solve equations that represent diagrams 3. Choose two-step equations: word problems 4. Solve two-step equations: word problems Two-variable equations 5. Write a two-variable equation

Transposing and solving simple equations		Solutions to equations 1. Which x satisfies an equation? Equation models 2. Model and solve equations using algebra tiles Solve equations 3. Solve one-step equations 4. Solve two-step equations without parentheses 5. Solve two-step equations with parentheses 6. Solve two-step equations 7. Solve two-step equations with fractions 8. Solve equations involving like terms 9. Solve equations: complete the solution
Transposing and solving simple equations
Solutions to equations 1. Which x satisfies an equation? Equation models 2. Model and solve equations using algebra tiles Solve equations 3. Solve one-step equations 4. Solve two-step equations without parentheses 5. Solve two-step equations with parentheses 6. Solve two-step equations 7. Solve two-step equations with fractions 8. Solve equations involving like terms 9. Solve equations: complete the solution

Substitution into expressions		1. Evaluate linear expressions 2. Evaluate nonlinear expressions
Substitution into expressions
1. Evaluate linear expressions 2. Evaluate nonlinear expressions

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. Factor linear expressions: area models 2. Sort factors of variable expressions
Factorizing algebraic expressions
1. Factor linear expressions: area models 2. Sort factors of variable expressions

Using formulae		1. Celsius and Fahrenheit temperatures 2. Simple interest 3. Area of rectangles and parallelograms 4. Area of triangles and trapezoids 5. Area of circles 6. Circumference of circles
Using formulae
1. Celsius and Fahrenheit temperatures 2. Simple interest 3. Area of rectangles and parallelograms 4. Area of triangles and trapezoids 5. Area of circles 6. Circumference of circles

Flowcharts and simple algorithms
Flowcharts and simple algorithms

Spatial reasoning
Geometry
Classifying shapes and angles		Angles 1. Name, measure, and classify angles 2. Identify complementary, supplementary, vertical, and adjacent angles Polygons 3. Identify and classify polygons Triangles 4. Classify triangles 5. Triangle inequality Trapezoids 6. Identify trapezoids Quadrilaterals 7. Classify quadrilaterals I 8. Classify quadrilaterals II
Classifying shapes and angles
Angles 1. Name, measure, and classify angles 2. Identify complementary, supplementary, vertical, and adjacent angles Polygons 3. Identify and classify polygons Triangles 4. Classify triangles 5. Triangle inequality Trapezoids 6. Identify trapezoids Quadrilaterals 7. Classify quadrilaterals I 8. Classify quadrilaterals II

Calculations with angle properties		Angles in triangles 1. Find missing angles in triangles 2. Find missing angles in triangles using ratios Angles in quadrilaterals 3. Find missing angles in quadrilaterals I 4. Find missing angles in quadrilaterals II Angles in polygons 5. Interior angles of polygons Angle relationships 6. Find measures of complementary, supplementary, vertical, and adjacent angles 7. Write and solve equations using angle relationships
Calculations with angle properties
Angles in triangles 1. Find missing angles in triangles 2. Find missing angles in triangles using ratios Angles in quadrilaterals 3. Find missing angles in quadrilaterals I 4. Find missing angles in quadrilaterals II Angles in polygons 5. Interior angles of polygons Angle relationships 6. Find measures of complementary, supplementary, vertical, and adjacent angles 7. Write and solve equations using angle relationships

Parallel lines and transversals		1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: find angle measures
Parallel lines and transversals
1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs 3. Transversals of parallel lines: find angle measures

Perimeter (circumference), area, and volume		Perimeter 1. Perimeter Circumference 2. Parts of a circle 3. Circumference of circles Area and perimeter of polygons 4. Area of rectangles and parallelograms 5. Area of triangles and trapezoids 6. Area and perimeter: word problems Area and circumference of circles 7. Area of circles 8. Circles: word problems 9. Area of semicircles and quarter circles Area of compound figures 10. Area of compound figures made of rectangles 11. Area of compound figures with triangles 12. Area of compound figures with triangles, semicircles, and quarter circles Area between shapes 13. Area between two shapes Volume of prisms and pyramids 14. Volume of cubes and prisms 15. Volume of cubes and rectangular prisms: word problems 16. Volume of prisms: advanced 17. Volume of pyramids Volume of cylinders 18. Volume of cylinders
Perimeter (circumference), area, and volume
Perimeter 1. Perimeter Circumference 2. Parts of a circle 3. Circumference of circles Area and perimeter of polygons 4. Area of rectangles and parallelograms 5. Area of triangles and trapezoids 6. Area and perimeter: word problems Area and circumference of circles 7. Area of circles 8. Circles: word problems 9. Area of semicircles and quarter circles Area of compound figures 10. Area of compound figures made of rectangles 11. Area of compound figures with triangles 12. Area of compound figures with triangles, semicircles, and quarter circles Area between shapes 13. Area between two shapes Volume of prisms and pyramids 14. Volume of cubes and prisms 15. Volume of cubes and rectangular prisms: word problems 16. Volume of prisms: advanced 17. Volume of pyramids Volume of cylinders 18. Volume of cylinders

Surface area and nets		Nets 1. Nets of three-dimensional figures 2. Front, side, and top view Surface area of prisms and pyramids 3. Surface area of cubes and prisms 4. Surface area of pyramids Surface area of cylinders 5. Surface area of cylinders
Surface area and nets
Nets 1. Nets of three-dimensional figures 2. Front, side, and top view Surface area of prisms and pyramids 3. Surface area of cubes and prisms 4. Surface area of pyramids Surface area of cylinders 5. Surface area of cylinders

Coordinates		1. Coordinate plane review 2. Quadrants and axes 3. Follow directions on a coordinate plane 4. Distance between two points
Coordinates
1. Coordinate plane review 2. Quadrants and axes 3. Follow directions on a coordinate plane 4. Distance between two points

Symmetry and reflection		1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates
Symmetry and reflection
1. Reflections over the x- and y-axes: graph the image 2. Reflections over the x- and y-axes: find the coordinates

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 2. Use collected data to find probabilities and make predictions
Data collection and generation (including surveys)
1. Create frequency tables 2. Use collected data to find probabilities and make predictions

Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)		Stem-and-leaf plots 1. Create stem-and-leaf plots 2. Interpret stem-and-leaf plots Bar graphs 3. Create bar graphs 4. Interpret bar graphs Histograms 5. Create histograms 6. Interpret histograms Circle graphs 7. Interpret circle graphs 8. Circle graphs and central angles
Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)
Stem-and-leaf plots 1. Create stem-and-leaf plots 2. Interpret stem-and-leaf plots Bar graphs 3. Create bar graphs 4. Interpret bar graphs Histograms 5. Create histograms 6. Interpret histograms Circle graphs 7. Interpret circle graphs 8. Circle graphs and central angles

Data visualizations and infographics		1. Choose the best type of graph
Data visualizations and infographics
1. Choose the best type of graph

Data processing: measure of central tendency (mean, mode, and median) for discrete and grouped data Measures of dispersion: range		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
Data processing: measure of central tendency (mean, mode, and median) for discrete and grouped data Measures of dispersion: range
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

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

Qualitative handling of probability		1. Certain, probable, unlikely, impossible: with spinners 2. Certain, probable, unlikely, impossible
Qualitative handling of probability
1. Certain, probable, unlikely, impossible: with spinners 2. Certain, probable, unlikely, impossible

Probability of simple events		1. Probability of simple events
Probability of simple events
1. Probability of simple events

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

Probability scale, including significance of number		1. Certain, probable, unlikely, impossible
Probability scale, including significance of number
1. Certain, probable, unlikely, impossible

Theoretical probability and experimental probability		Theoretical probability 1. Probability of simple events and opposite events 2. Probability of mutually exclusive events and overlapping events 3. Make predictions using theoretical probability Experimental probability 4. Experimental probability 5. Make predictions using experimental probability
Theoretical probability and experimental probability
Theoretical probability 1. Probability of simple events and opposite events 2. Probability of mutually exclusive events and overlapping events 3. Make predictions using theoretical probability Experimental probability 4. Experimental probability 5. Make predictions using experimental probability

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