IXL skill plan | Year 3 plan for IB Middle Years Programme

Skill plan for IB Middle Years Programme - Year 3

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

Print skill plan

Numerical and abstract reasoning
Number
Forms of numbers (fractions, decimals, and percentages) and transforming between them		Convert between fractions, decimals, and percents 1. Convert between decimals and fractions or mixed numbers 2. Convert between percents, fractions, and decimals Compare and order fractions, decimals, and percents 3. Compare rational numbers 4. Put rational numbers in order 5. Compare percents to fractions and decimals
Forms of numbers (fractions, decimals, and percentages) and transforming between them
Convert between fractions, decimals, and percents 1. Convert between decimals and fractions or mixed numbers 2. Convert between percents, fractions, and decimals Compare and order fractions, decimals, and percents 3. Compare rational numbers 4. Put rational numbers in order 5. Compare percents to fractions and decimals

Factors of numbers		1. Factors
Factors of numbers
1. Factors

Integers		Add and subtract integers 1. Add and subtract integers 2. Add and subtract three or more integers 3. Add and subtract integers: word problems Multiply and divide integers 4. Multiply and divide integers Order of operations 5. Evaluate numerical expressions involving integers
Integers
Add and subtract integers 1. Add and subtract integers 2. Add and subtract three or more integers 3. Add and subtract integers: word problems Multiply and divide integers 4. Multiply and divide integers Order of operations 5. Evaluate numerical expressions involving integers

Number operations		Add and subtract rational numbers 1. Add and subtract rational numbers: word problems 2. Apply addition and subtraction rules Multiply and divide rational numbers 3. Multiply and divide rational numbers: word problems 4. Apply multiplication and division rules Mixed operations with rational numbers 5. Apply addition, subtraction, multiplication, and division rules 6. Multi-step word problems Order of operations 7. Evaluate numerical expressions involving rational numbers
Number operations
Add and subtract rational numbers 1. Add and subtract rational numbers: word problems 2. Apply addition and subtraction rules Multiply and divide rational numbers 3. Multiply and divide rational numbers: word problems 4. Apply multiplication and division rules Mixed operations with rational numbers 5. Apply addition, subtraction, multiplication, and division rules 6. Multi-step word problems Order of operations 7. Evaluate numerical expressions involving rational numbers

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

Greatest/highest common factor, lowest common multiple		1. GCF and LCM: word problems
Greatest/highest common factor, lowest common multiple
1. GCF and LCM: word problems

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

Number lines and simple inequalities		Solutions to inequalities 1. Solutions to inequalities One-step inequalities 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities
Number lines and simple inequalities
Solutions to inequalities 1. Solutions to inequalities One-step inequalities 2. Solve one-step inequalities 3. Graph solutions to one-step inequalities Two-step inequalities 4. Solve two-step inequalities 5. Graph solutions to two-step inequalities

Ratios		Scale drawings 1. Scale drawings: word problems 2. Scale drawings: scale factor word problems Constant of proportionality 3. Find the constant of proportionality from a graph Proportional relationships 4. Interpret graphs of proportional relationships 5. Write equations for proportional relationships from tables 6. Write equations for proportional relationships from graphs Percents 7. Percent of change: find the original amount word problems 8. Sale prices: find the original price 9. Multi-step problems with percents
Ratios
Scale drawings 1. Scale drawings: word problems 2. Scale drawings: scale factor word problems Constant of proportionality 3. Find the constant of proportionality from a graph Proportional relationships 4. Interpret graphs of proportional relationships 5. Write equations for proportional relationships from tables 6. Write equations for proportional relationships from graphs Percents 7. Percent of change: find the original amount word problems 8. Sale prices: find the original price 9. Multi-step problems with percents

Exponents and powers		1. Understanding exponents 2. Multiply powers: integer bases 3. Divide powers: integer bases 4. Multiply and divide powers: integer bases 5. Power of a power: integer bases
Exponents and powers
1. Understanding exponents 2. Multiply powers: integer bases 3. Divide powers: integer bases 4. Multiply and divide powers: integer bases 5. Power of a power: integer bases

Squares and square roots		1. Positive and negative square roots 2. Estimate positive and negative square roots 3. Relationship between squares and square roots
Squares and square roots
1. Positive and negative square roots 2. Estimate positive and negative square roots 3. Relationship between squares and square roots

Time zones, clocks, and timetables
Time zones, clocks, and timetables

Algebra
Operating with algebraic expressions		Write variable expressions 1. Write variable expressions from diagrams 2. Write variable expressions: word problems 3. Write equivalent expressions using properties Add and subtract expressions 4. Add and subtract like terms 5. Add and subtract linear expressions Equivalent expressions 6. Identify equivalent linear expressions I 7. Identify equivalent linear expressions II 8. Identify equivalent linear expressions: word problems
Operating with algebraic expressions
Write variable expressions 1. Write variable expressions from diagrams 2. Write variable expressions: word problems 3. Write equivalent expressions using properties Add and subtract expressions 4. Add and subtract like terms 5. Add and subtract linear expressions Equivalent expressions 6. Identify equivalent linear expressions I 7. Identify equivalent linear expressions II 8. Identify equivalent linear expressions: word problems

Forming equations		1. Properties of equality 2. Solve equations with variables on both sides: word problems 3. Create equations with no solutions or infinitely many solutions
Forming equations
1. Properties of equality 2. Solve equations with variables on both sides: word problems 3. Create equations with no solutions or infinitely many solutions

Transposing and solving simple equations		Solutions to equations 1. Which x satisfies an equation? Solve equations 2. Solve equations involving like terms 3. Solve equations with variables on both sides 4. Solve equations with variables on both sides: fractional coefficients 5. Solve equations using the distributive property 6. Solve multi-step equations 7. Solve multi-step equations with fractional coefficients 8. Solve equations: mixed review 9. Solve multi-step equations: complete the solution 10. Rearrange multi-variable equations Number of solutions 11. Find the number of solutions
Transposing and solving simple equations
Solutions to equations 1. Which x satisfies an equation? Solve equations 2. Solve equations involving like terms 3. Solve equations with variables on both sides 4. Solve equations with variables on both sides: fractional coefficients 5. Solve equations using the distributive property 6. Solve multi-step equations 7. Solve multi-step equations with fractional coefficients 8. Solve equations: mixed review 9. Solve multi-step equations: complete the solution 10. Rearrange multi-variable equations Number of solutions 11. Find the number of solutions

Substitution into expressions		1. Evaluate one-variable expressions 2. Evaluate multi-variable expressions 3. Evaluate rational expressions
Substitution into expressions
1. Evaluate one-variable expressions 2. Evaluate multi-variable expressions 3. Evaluate rational expressions

Expanding brackets		1. Multiply using the distributive property
Expanding brackets
1. Multiply using the distributive property

Factorizing algebraic expressions		1. Factors of linear expressions 2. Distributive property
Factorizing algebraic expressions
1. Factors of linear expressions 2. Distributive property

Using formulae		1. Simple interest 2. Compound interest
Using formulae
1. Simple interest 2. Compound interest

Flowcharts and simple algorithms
Flowcharts and simple algorithms


Checkpoint opportunity		1. Checkpoint: Solve linear equations 2. Checkpoint: Problem solving with equations and inequalities 3. Checkpoint: Linear equations and inequalities
Checkpoint opportunity
1. Checkpoint: Solve linear equations 2. Checkpoint: Problem solving with equations and inequalities 3. Checkpoint: Linear equations and inequalities

Spatial reasoning
Geometry
Classifying shapes and angles		Polygons 1. Identify and classify polygons Triangles 2. Classify triangles Trapezoids 3. Identify trapezoids Quadrilaterals 4. Classify quadrilaterals I 5. Classify quadrilaterals II
Classifying shapes and angles
Polygons 1. Identify and classify polygons Triangles 2. Classify triangles Trapezoids 3. Identify trapezoids Quadrilaterals 4. Classify quadrilaterals I 5. Classify quadrilaterals II

Calculations with angle properties		Angles in triangles 1. Find missing angles in triangles 2. Find missing angles in triangles using ratios 3. Triangle Angle-Sum Theorem Angles in quadrilaterals 4. Find missing angles in quadrilaterals I 5. Find missing angles in quadrilaterals II 6. Exterior Angle Theorem Angles in polygons 7. Interior angles of polygons Angle relationships 8. 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 3. Triangle Angle-Sum Theorem Angles in quadrilaterals 4. Find missing angles in quadrilaterals I 5. Find missing angles in quadrilaterals II 6. Exterior Angle Theorem Angles in polygons 7. Interior angles of polygons Angle relationships 8. Write and solve equations using angle relationships

Parallel lines and transversals		1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x
Parallel lines and transversals
1. Transversals: name angle pairs 2. Transversals of parallel lines: find angle measures 3. Transversals of parallel lines: solve for x

Perimeter (circumference), area, and volume		Area and perimeter of polygons 1. Area and perimeter: word problems Area and circumference of circles 2. Area and circumference of circles 3. Circles: word problems 4. Area and perimeter of semicircles and quarter circles Area between shapes 5. Area between two shapes Volume of prisms and pyramids 6. Volume of cubes, prisms, and pyramids Volume of cylinders, cones, and spheres 7. Volume of cylinders 8. Volume of cones 9. Volume of spheres
Perimeter (circumference), area, and volume
Area and perimeter of polygons 1. Area and perimeter: word problems Area and circumference of circles 2. Area and circumference of circles 3. Circles: word problems 4. Area and perimeter of semicircles and quarter circles Area between shapes 5. Area between two shapes Volume of prisms and pyramids 6. Volume of cubes, prisms, and pyramids Volume of cylinders, cones, and spheres 7. Volume of cylinders 8. Volume of cones 9. Volume of spheres

Surface area and nets		1. Surface area of cubes, prisms, and pyramids 2. Surface area of cylinders 3. Surface area of cones 4. Surface area of spheres 5. Volume and surface area of similar solids
Surface area and nets
1. Surface area of cubes, prisms, and pyramids 2. Surface area of cylinders 3. Surface area of cones 4. Surface area of spheres 5. Volume and surface area of similar solids

Coordinates		1. Graph triangles and quadrilaterals
Coordinates
1. Graph triangles and quadrilaterals

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 3. Reflections: graph the image 4. Reflections: 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 3. Reflections: graph the image 4. Reflections: find the coordinates

Checkpoint opportunity		1. Checkpoint: Triangles and transversals 2. Checkpoint: Surface area and volume
Checkpoint opportunity
1. Checkpoint: Triangles and transversals 2. Checkpoint: Surface area and volume

Reasoning with data
Reasoning with data
Simple discrete data and classifications
Simple discrete data and classifications


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

Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)		1. Interpret line graphs 2. Create line graphs 3. Interpret bar graphs, line graphs, and histograms
Graphical representations (including: pie charts, bar charts, stem and leaf plots, pictograms)
1. Interpret line graphs 2. Create line graphs 3. Interpret bar graphs, line graphs, and histograms

Data visualizations and infographics		1. Choose the best type of graph 2. Interpret graphics I 3. Interpret graphics II
Data visualizations and infographics
1. Choose the best type of graph 2. Interpret graphics I 3. Interpret graphics II

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. 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
1. Calculate mean, median, mode, and range 2. Identify an outlier and describe the effect of removing it

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

Qualitative handling of probability
Qualitative handling of probability


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

Sample spaces		1. Sample spaces for compound events
Sample spaces
1. Sample spaces for compound 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		1. Probability of opposite, mutually exclusive, and overlapping events 2. Experimental probability
Theoretical probability and experimental probability
1. Probability of opposite, mutually exclusive, and overlapping events 2. Experimental probability

This document includes the IXL® skill alignments to International Baccalaureate's IB Middle Years Programme curriculum. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by International Baccalaureate or any other third party. IXL® and IXL Learning® are registered trademarks of IXL Learning, Inc. All other intellectual property rights (e.g., unregistered and registered trademarks and copyrights) are the property of their respective owners.