IXL skill plan | Mathematical Reasoning plan for the General Educational Development Test

Skill plan for the General Educational Development Test - Mathematical Reasoning

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

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Level 1 Below Passing: 100-144
Quantitative problem solving with rational numbers
Multiples and factors		1. Find all the factor pairs of a number 2. Greatest common factor 3. Least common multiple
Multiples and factors
1. Find all the factor pairs of a number 2. Greatest common factor 3. Least common multiple

Real-world problems with rational numbers		1. Maps with decimal distances 2. Maps with fractional distances
Real-world problems with rational numbers
1. Maps with decimal distances 2. Maps with fractional distances

Unit rates		Unit rates 1. Unit rates 2. Rates: word problems 3. Compare rates: word problems Unit pricing 4. Unit prices
Unit rates
Unit rates 1. Unit rates 2. Rates: word problems 3. Compare rates: word problems Unit pricing 4. Unit prices
Quantitative problem solving in measurement
Area and perimeter problems		1. Area of rectangles and squares 2. Area of triangles 3. Perimeter of rectangles, squares, and triangles
Area and perimeter problems
1. Area of rectangles and squares 2. Area of triangles 3. Perimeter of rectangles, squares, and triangles

Categorical data		Circle graphs 1. Interpret circle graphs Bar graphs 2. Interpret bar graphs 3. Create bar graphs Tables 4. Interpret tables Scatter plots 5. Identify trends with scatter plots 6. Create scatter plots
Categorical data
Circle graphs 1. Interpret circle graphs Bar graphs 2. Interpret bar graphs 3. Create bar graphs Tables 4. Interpret tables Scatter plots 5. Identify trends with scatter plots 6. Create scatter plots
Algebraic problem solving with expressions and equations
Linear expressions		Write variable expressions 1. Write variable expressions: one operation 2. Write variable expressions: word problems Order of operations 3. Order of operations Use properties of operations 4. Multiply using the distributive property: area models Add and subtract 5. Add and subtract linear expressions 6. Simplify expressions by combining like terms Factor 7. Factor linear expressions: area models Identify equivalent linear expressions 8. Identify equivalent linear expressions using algebra tiles 9. Identify equivalent linear expressions I Evaluate variable expressions 10. Evaluate variable expressions with whole numbers 11. Evaluate variable expressions with decimals, fractions, and mixed numbers 12. Evaluate variable expressions: word problems
Linear expressions
Write variable expressions 1. Write variable expressions: one operation 2. Write variable expressions: word problems Order of operations 3. Order of operations Use properties of operations 4. Multiply using the distributive property: area models Add and subtract 5. Add and subtract linear expressions 6. Simplify expressions by combining like terms Factor 7. Factor linear expressions: area models Identify equivalent linear expressions 8. Identify equivalent linear expressions using algebra tiles 9. Identify equivalent linear expressions I Evaluate variable expressions 10. Evaluate variable expressions with whole numbers 11. Evaluate variable expressions with decimals, fractions, and mixed numbers 12. Evaluate variable expressions: word problems

Real-world problems involving linear equations		Solve equations 1. Model and solve equations using algebra tiles 2. Solve two-step equations 3. Solve equations involving like terms 4. Solve equations: complete the solution Word problems 5. Choose two-step equations: word problems 6. Solve two-step equations: word problems
Real-world problems involving linear equations
Solve equations 1. Model and solve equations using algebra tiles 2. Solve two-step equations 3. Solve equations involving like terms 4. Solve equations: complete the solution Word problems 5. Choose two-step equations: word problems 6. Solve two-step equations: word problems

Polynomial expressions		Model polynomials 1. Model polynomials with algebra tiles Operations with polynomials 2. Add and subtract polynomials using algebra tiles 3. Multiply two binomials using algebra tiles Simplify polynomials 4. Simplify variable expressions involving like terms and the distributive property Evaluate polynomials 5. Evaluate one-variable expressions
Polynomial expressions
Model polynomials 1. Model polynomials with algebra tiles Operations with polynomials 2. Add and subtract polynomials using algebra tiles 3. Multiply two binomials using algebra tiles Simplify polynomials 4. Simplify variable expressions involving like terms and the distributive property Evaluate polynomials 5. Evaluate one-variable expressions

Rational expressions		1. Evaluate rational expressions 2. Write variable expressions: word problems
Rational expressions
1. Evaluate rational expressions 2. Write variable expressions: word problems

Systems of equations		Number of solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations by graphing 3. Find the number of solutions to a system of equations Solve a system of equations 4. Solve a system of equations by graphing 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination 7. Solve a system of equations using any method Real-world problems 8. Solve a system of equations using substitution: word problems 9. Solve a system of equations using elimination: word problems 10. Solve a system of equations using any method: word problems
Systems of equations
Number of solutions 1. Is (x, y) a solution to the system of equations? 2. Find the number of solutions to a system of equations by graphing 3. Find the number of solutions to a system of equations Solve a system of equations 4. Solve a system of equations by graphing 5. Solve a system of equations using substitution 6. Solve a system of equations using elimination 7. Solve a system of equations using any method Real-world problems 8. Solve a system of equations using substitution: word problems 9. Solve a system of equations using elimination: word problems 10. Solve a system of equations using any method: word problems

Checkpoint opportunity		1. Checkpoint: Systems of equations
Checkpoint opportunity
1. Checkpoint: Systems of equations
Algebraic problem solving with graphs and functions
Coordinate plane		1. Objects on a coordinate plane 2. Graph points on a coordinate plane
Coordinate plane
1. Objects on a coordinate plane 2. Graph points on a coordinate plane

Unit rate in proportional relationships		1. Graph proportional relationships and find the slope 2. Find the constant of proportionality from a graph
Unit rate in proportional relationships
1. Graph proportional relationships and find the slope 2. Find the constant of proportionality from a graph

Linear and nonlinear relationships		Identify linear and nonlinear relationships 1. Identify linear and nonlinear functions: graphs and equations 2. Identify linear and nonlinear functions: tables Interpret key features from graphs and tables 3. Find the slope of a graph 4. Write a linear equation from a graph 5. Rate of change: tables 6. Rate of change: graphs Interpret key features from context 7. Write a linear function: word problems 8. Identify graphs: word problems
Linear and nonlinear relationships
Identify linear and nonlinear relationships 1. Identify linear and nonlinear functions: graphs and equations 2. Identify linear and nonlinear functions: tables Interpret key features from graphs and tables 3. Find the slope of a graph 4. Write a linear equation from a graph 5. Rate of change: tables 6. Rate of change: graphs Interpret key features from context 7. Write a linear function: word problems 8. Identify graphs: word problems

Compare proportional relationships		• Coming soon: Compare proportional relationships represented in different ways
Compare proportional relationships
• Coming soon: Compare proportional relationships represented in different ways

Identify functions		1. Identify functions 2. Identify functions: graphs
Identify functions
1. Identify functions 2. Identify functions: graphs

Linear and quadratic functions		1. Evaluate a linear function 2. Complete a function table: quadratic functions
Linear and quadratic functions
1. Evaluate a linear function 2. Complete a function table: quadratic functions

Checkpoint opportunity		1. Checkpoint: Sketch and describe graphs 2. Checkpoint: Linear and nonlinear functions 3. Checkpoint: Understand functions 4. Checkpoint: Compare linear functions
Checkpoint opportunity
1. Checkpoint: Sketch and describe graphs 2. Checkpoint: Linear and nonlinear functions 3. Checkpoint: Understand functions 4. Checkpoint: Compare linear functions

Level 2 Pass/High School Equivalency: 145-164
Quantitative problem solving with rational numbers
Order fractions and decimals		1. Put rational numbers in order 2. Compare and order rational numbers: word problems
Order fractions and decimals
1. Put rational numbers in order 2. Compare and order rational numbers: word problems

Multiples and factors		1. GCF and LCM: word problems 2. Factor numerical expressions using the distributive property
Multiples and factors
1. GCF and LCM: word problems 2. Factor numerical expressions using the distributive property

Simplify expressions with rational exponents		Integer exponents 1. Evaluate expressions using properties of exponents 2. Identify equivalent expressions involving exponents I 3. Identify equivalent expressions involving exponents II Rational exponents 4. Evaluate integers raised to positive rational exponents 5. Evaluate integers raised to rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule with rational exponents 9. Simplify expressions involving rational exponents
Simplify expressions with rational exponents
Integer exponents 1. Evaluate expressions using properties of exponents 2. Identify equivalent expressions involving exponents I 3. Identify equivalent expressions involving exponents II Rational exponents 4. Evaluate integers raised to positive rational exponents 5. Evaluate integers raised to rational exponents 6. Multiplication with rational exponents 7. Division with rational exponents 8. Power rule with rational exponents 9. Simplify expressions involving rational exponents

Absolute value		1. Understanding absolute value 2. Absolute value of rational numbers 3. Absolute value and integers: word problems
Absolute value
1. Understanding absolute value 2. Absolute value of rational numbers 3. Absolute value and integers: word problems

Computations with rational numbers		Integers 1. Add and subtract integers using counters 2. Add and subtract integers 3. Multiply and divide integers Decimals 4. Add and subtract positive and negative decimals 5. Multiply and divide positive and negative decimals 6. Add, subtract, multiply, or divide two decimals Fractions 7. Add and subtract mixed numbers 8. Add and subtract positive and negative fractions 9. Multiply and divide positive and negative fractions Rational numbers 10. Add and subtract rational numbers 11. Multiply and divide rational numbers
Computations with rational numbers
Integers 1. Add and subtract integers using counters 2. Add and subtract integers 3. Multiply and divide integers Decimals 4. Add and subtract positive and negative decimals 5. Multiply and divide positive and negative decimals 6. Add, subtract, multiply, or divide two decimals Fractions 7. Add and subtract mixed numbers 8. Add and subtract positive and negative fractions 9. Multiply and divide positive and negative fractions Rational numbers 10. Add and subtract rational numbers 11. Multiply and divide rational numbers

Numerical expressions with squares and square roots		1. Square roots of perfect squares 2. Relationship between squares and square roots
Numerical expressions with squares and square roots
1. Square roots of perfect squares 2. Relationship between squares and square roots

Numerical expressions with cubes and cube roots		1. Cube roots of positive perfect cubes
Numerical expressions with cubes and cube roots
1. Cube roots of positive perfect cubes

Undefined numerical expressions
Undefined numerical expressions


Real-world problems with rational numbers		1. Add, subtract, multiply, and divide decimals: word problems 2. Add, subtract, multiply, and divide fractions and mixed numbers: word problems 3. Add, subtract, multiply, and divide money amounts: word problems 4. Rate of travel: word problems
Real-world problems with rational numbers
1. Add, subtract, multiply, and divide decimals: word problems 2. Add, subtract, multiply, and divide fractions and mixed numbers: word problems 3. Add, subtract, multiply, and divide money amounts: word problems 4. Rate of travel: word problems

Unit rates		1. Calculate unit rates with fractions 2. Unit prices 3. Unit prices with unit conversions
Unit rates
1. Calculate unit rates with fractions 2. Unit prices 3. Unit prices with unit conversions

Scale factors		1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems 4. Perimeter and area: changes in scale
Scale factors
1. Scale drawings of polygons 2. Scale drawings: word problems 3. Scale drawings: scale factor word problems 4. Perimeter and area: changes in scale

Ratios and proportions		Ratios and rates 1. Understanding ratios 2. Equivalent ratios: word problems 3. Ratios and rates: word problems 4. Compare ratios: word problems Proportions 5. Do the ratios form a proportion? 6. Do the ratios form a proportion: word problems 7. Solve proportions 8. Estimate population size using proportions
Ratios and proportions
Ratios and rates 1. Understanding ratios 2. Equivalent ratios: word problems 3. Ratios and rates: word problems 4. Compare ratios: word problems Proportions 5. Do the ratios form a proportion? 6. Do the ratios form a proportion: word problems 7. Solve proportions 8. Estimate population size using proportions

Percents		Percent problems 1. Solve percent equations: word problems 2. Percent of change: word problems 3. Percent of change: find the original amount word problems 4. Percent error: word problems Consumer math 5. Percents of numbers and money amounts 6. Percent of a number: tax, discount, and more 7. Which is the better coupon? 8. Find the percent: tax, discount, and more 9. Sale prices: find the original price Multi-step problems 10. Multi-step problems with percents
Percents
Percent problems 1. Solve percent equations: word problems 2. Percent of change: word problems 3. Percent of change: find the original amount word problems 4. Percent error: word problems Consumer math 5. Percents of numbers and money amounts 6. Percent of a number: tax, discount, and more 7. Which is the better coupon? 8. Find the percent: tax, discount, and more 9. Sale prices: find the original price Multi-step problems 10. Multi-step problems with percents
Quantitative problem solving in measurement
Area and perimeter problems		Circles 1. Area of circles 2. Circumference of circles 3. Circles: word problems Polygons and compound figures 4. Area and perimeter of polygons 5. Area of compound figures with triangles, semicircles, and quarter circles 6. Area and perimeter: word problems
Area and perimeter problems
Circles 1. Area of circles 2. Circumference of circles 3. Circles: word problems Polygons and compound figures 4. Area and perimeter of polygons 5. Area of compound figures with triangles, semicircles, and quarter circles 6. Area and perimeter: word problems

Pythagorean theorem		Unknown side lengths 1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length Apply the Pythagorean theorem 4. Pythagorean theorem: find the perimeter 5. Pythagorean theorem: word problems
Pythagorean theorem
Unknown side lengths 1. Pythagorean theorem: find the length of the hypotenuse 2. Pythagorean theorem: find the missing leg length 3. Pythagorean theorem: find the missing leg or hypotenuse length Apply the Pythagorean theorem 4. Pythagorean theorem: find the perimeter 5. Pythagorean theorem: word problems

Volume and surface area problems		Volume 1. Volume of cubes and prisms 2. Volume of cylinders 3. Volume of cones 4. Volume of pyramids 5. Volume of spheres Surface area 6. Surface area of cubes and prisms 7. Surface area of cylinders 8. Surface area of cones 9. Surface area of pyramids 10. Surface area of spheres
Volume and surface area problems
Volume 1. Volume of cubes and prisms 2. Volume of cylinders 3. Volume of cones 4. Volume of pyramids 5. Volume of spheres Surface area 6. Surface area of cubes and prisms 7. Surface area of cylinders 8. Surface area of cones 9. Surface area of pyramids 10. Surface area of spheres

Categorical data		Line plots 1. Interpret line plots 2. Create line plots Histograms 3. Interpret histograms 4. Create histograms Box plots 5. Box plots
Categorical data
Line plots 1. Interpret line plots 2. Create line plots Histograms 3. Interpret histograms 4. Create histograms Box plots 5. Box plots

Median, mode, and weighted average		1. Calculate mean, median, and mode 2. Mean: find the missing number 3. Weighted averages: word problems
Median, mode, and weighted average
1. Calculate mean, median, and mode 2. Mean: find the missing number 3. Weighted averages: word problems

Counting techniques		1. Counting principle 2. Permutations 3. Permutation and combination notation
Counting techniques
1. Counting principle 2. Permutations 3. Permutation and combination notation

Checkpoint opportunity		1. Checkpoint: Volume 2. Checkpoint: Line plots, histograms, and box plots
Checkpoint opportunity
1. Checkpoint: Volume 2. Checkpoint: Line plots, histograms, and box plots
Algebraic problem solving with expressions and equations
Linear expressions		Write variable expressions 1. Write variable expressions: two operations 2. Write variable expressions: word problems Compute with linear expressions 3. Multiply using the distributive property 4. Add and subtract linear expressions 5. Simplify expressions by combining like terms 6. Factors of linear expressions 7. Identify equivalent linear expressions II 8. Identify equivalent linear expressions: word problems Evaluate variable expressions 9. Evaluate multi-variable expressions 10. Evaluate variable expressions with decimals, fractions, and mixed numbers
Linear expressions
Write variable expressions 1. Write variable expressions: two operations 2. Write variable expressions: word problems Compute with linear expressions 3. Multiply using the distributive property 4. Add and subtract linear expressions 5. Simplify expressions by combining like terms 6. Factors of linear expressions 7. Identify equivalent linear expressions II 8. Identify equivalent linear expressions: word problems Evaluate variable expressions 9. Evaluate multi-variable expressions 10. Evaluate variable expressions with decimals, fractions, and mixed numbers

Polynomial expressions		Compute with polynomial expressions 1. Add and subtract polynomials 2. Multiply a polynomial by a monomial 3. Multiply two binomials 4. Multiply polynomials to find area 5. Multiply polynomials Factor polynomial expressions 6. Factor out a monomial 7. Factor quadratics with leading coefficient 1 8. Factor quadratics with other leading coefficients 9. Factor quadratics: special cases Polynomial expressions in context 10. Add polynomials to find perimeter
Polynomial expressions
Compute with polynomial expressions 1. Add and subtract polynomials 2. Multiply a polynomial by a monomial 3. Multiply two binomials 4. Multiply polynomials to find area 5. Multiply polynomials Factor polynomial expressions 6. Factor out a monomial 7. Factor quadratics with leading coefficient 1 8. Factor quadratics with other leading coefficients 9. Factor quadratics: special cases Polynomial expressions in context 10. Add polynomials to find perimeter

Rational expressions		1. Evaluate rational expressions
Rational expressions
1. Evaluate rational expressions

One-variable linear equations		Two-step equations 1. Solve two-step equations without parentheses 2. Solve two-step equations with parentheses Multi-step equations 3. Solve equations involving like terms 4. Solve equations with variables on both sides 5. Solve equations using the distributive property 6. Find the number of solutions 7. Create equations with no solutions or infinitely many solutions 8. Solve multi-step equations 9. Solve multi-step equations: complete the solution 10. Solve multi-step equations with fractional coefficients
One-variable linear equations
Two-step equations 1. Solve two-step equations without parentheses 2. Solve two-step equations with parentheses Multi-step equations 3. Solve equations involving like terms 4. Solve equations with variables on both sides 5. Solve equations using the distributive property 6. Find the number of solutions 7. Create equations with no solutions or infinitely many solutions 8. Solve multi-step equations 9. Solve multi-step equations: complete the solution 10. Solve multi-step equations with fractional coefficients

Real-world problems involving linear equations		1. Solve one-step and two-step linear equations: word problems 2. Write a linear function: word problems
Real-world problems involving linear equations
1. Solve one-step and two-step linear equations: word problems 2. Write a linear function: word problems

Linear inequalities		Solve inequalities 1. Solve one-step linear inequalities 2. Solve two-step linear inequalities Graph inequalities 3. Write and graph inequalities: word problems Solve and graph inequalities 4. Graph solutions to one-step inequalities 5. Graph solutions to two-step inequalities Word problems 6. One-step inequalities: word problems
Linear inequalities
Solve inequalities 1. Solve one-step linear inequalities 2. Solve two-step linear inequalities Graph inequalities 3. Write and graph inequalities: word problems Solve and graph inequalities 4. Graph solutions to one-step inequalities 5. Graph solutions to two-step inequalities Word problems 6. One-step inequalities: word problems

Quadratic equations		Solve quadratic equations 1. Solve a quadratic equation using square roots 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring 4. Solve a quadratic equation by completing the square 5. Solve a quadratic equation using the quadratic formula Word problems 6. Solve quadratic equations: word problems
Quadratic equations
Solve quadratic equations 1. Solve a quadratic equation using square roots 2. Solve a quadratic equation using the zero product property 3. Solve a quadratic equation by factoring 4. Solve a quadratic equation by completing the square 5. Solve a quadratic equation using the quadratic formula Word problems 6. Solve quadratic equations: word problems

Checkpoint opportunity		1. Checkpoint: Compare linear functions 2. Checkpoint: Solve linear equations
Checkpoint opportunity
1. Checkpoint: Compare linear functions 2. Checkpoint: Solve linear equations
Algebraic problem solving with graphs and functions
Slope		1. Find the slope of a graph 2. Slope-intercept form: find the slope and y-intercept 3. Interpret the slope and y-intercept of a linear function
Slope
1. Find the slope of a graph 2. Slope-intercept form: find the slope and y-intercept 3. Interpret the slope and y-intercept of a linear function

Unit rate		1. Find the constant of proportionality from a graph
Unit rate
1. Find the constant of proportionality from a graph

Two-variable linear equations		Graph linear equations 1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Point-slope form: graph an equation Write linear equations 4. Slope-intercept form: write an equation from a graph 5. Slope-intercept form: write an equation 6. Slope-intercept form: write an equation from a table 7. Point-slope form: write an equation Parallel and perpendicular lines 8. Slopes of parallel and perpendicular lines 9. Equations of parallel and perpendicular lines
Two-variable linear equations
Graph linear equations 1. Slope-intercept form: graph an equation 2. Standard form: graph a line from an equation 3. Point-slope form: graph an equation Write linear equations 4. Slope-intercept form: write an equation from a graph 5. Slope-intercept form: write an equation 6. Slope-intercept form: write an equation from a table 7. Point-slope form: write an equation Parallel and perpendicular lines 8. Slopes of parallel and perpendicular lines 9. Equations of parallel and perpendicular lines

Compare proportional relationships		• Coming soon: Compare proportional relationships represented in different ways
Compare proportional relationships
• Coming soon: Compare proportional relationships represented in different ways

Identify functions		1. Identify functions 2. Identify functions: graphs
Identify functions
1. Identify functions 2. Identify functions: graphs

Linear and quadratic functions		Evaluate functions 1. Complete linear and quadratic function tables Identify functions 2. Identify linear and quadratic functions from tables Compare functions 3. Compare linear functions: graphs and equations 4. Compare linear functions: tables, graphs, and equations
Linear and quadratic functions
Evaluate functions 1. Complete linear and quadratic function tables Identify functions 2. Identify linear and quadratic functions from tables Compare functions 3. Compare linear functions: graphs and equations 4. Compare linear functions: tables, graphs, and equations

Checkpoint opportunity		1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Analyze and compare linear and quadratic functions
Checkpoint opportunity
1. Checkpoint: Parallel and perpendicular lines 2. Checkpoint: Analyze and compare linear and quadratic functions

Level 3 GED® College Ready: 165-174
Quantitative problem solving with rational numbers
Simplify numerical expressions with rational exponents		1. Multiplication with rational exponents 2. Division with rational exponents 3. Power rule with rational exponents 4. Simplify expressions involving rational exponents
Simplify numerical expressions with rational exponents
1. Multiplication with rational exponents 2. Division with rational exponents 3. Power rule with rational exponents 4. Simplify expressions involving rational exponents

Absolute value		1. Absolute value and opposite integers 2. Evaluate absolute value expressions 3. Add integers using number lines 4. Subtract integers using number lines 5. Absolute value of rational numbers
Absolute value
1. Absolute value and opposite integers 2. Evaluate absolute value expressions 3. Add integers using number lines 4. Subtract integers using number lines 5. Absolute value of rational numbers

Numerical expressions with squares and square roots		1. Simplify radical expressions 2. Simplify radical expressions involving fractions 3. Multiply radical expressions 4. Add and subtract radical expressions
Numerical expressions with squares and square roots
1. Simplify radical expressions 2. Simplify radical expressions involving fractions 3. Multiply radical expressions 4. Add and subtract radical expressions

Undefined numerical expressions
Undefined numerical expressions


Ratios and proportions		1. Ratios and proportions 2. Solve proportions: word problems
Ratios and proportions
1. Ratios and proportions 2. Solve proportions: word problems
Quantitative problem solving in measurement
Pythagorean theorem		1. Pythagorean theorem: find the perimeter 2. Pythagorean theorem: word problems 3. Converse of the Pythagorean theorem: is it a right triangle?
Pythagorean theorem
1. Pythagorean theorem: find the perimeter 2. Pythagorean theorem: word problems 3. Converse of the Pythagorean theorem: is it a right triangle?

Volume and surface area problems		1. Surface area of cylinders
Volume and surface area problems
1. Surface area of cylinders

Counting techniques		1. Counting principle 2. Permutations 3. Permutation and combination notation
Counting techniques
1. Counting principle 2. Permutations 3. Permutation and combination notation

Probability		Simple events 1. Theoretical probability 2. Experimental probability Compound events 3. Outcomes of compound events Independent and dependent events 4. Identify independent and dependent events 5. Probability of independent and dependent events
Probability
Simple events 1. Theoretical probability 2. Experimental probability Compound events 3. Outcomes of compound events Independent and dependent events 4. Identify independent and dependent events 5. Probability of independent and dependent events
Algebraic problem solving with expressions and equations
Polynomial expressions		Compute with polynomials 1. Add and subtract polynomials 2. Multiply polynomials Factor polynomials 3. Factor quadratics 4. Factor using a quadratic pattern 5. Factor sums and differences of cubes 6. Factor polynomials
Polynomial expressions
Compute with polynomials 1. Add and subtract polynomials 2. Multiply polynomials Factor polynomials 3. Factor quadratics 4. Factor using a quadratic pattern 5. Factor sums and differences of cubes 6. Factor polynomials

Rational expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions
Rational expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions

Linear inequalities		1. Solve linear inequalities
Linear inequalities
1. Solve linear inequalities

Quadratic equations		Understand solutions 1. Using the discriminant Solve quadratic equations 2. Solve a quadratic equation by factoring 3. Solve a quadratic equation by completing the square 4. Solve a quadratic equation using the quadratic formula Word problems 5. Solve quadratic equations: word problems
Quadratic equations
Understand solutions 1. Using the discriminant Solve quadratic equations 2. Solve a quadratic equation by factoring 3. Solve a quadratic equation by completing the square 4. Solve a quadratic equation using the quadratic formula Word problems 5. Solve quadratic equations: word problems

Checkpoint opportunity		1. Checkpoint: Polynomial operations 2. Checkpoint: Quadratic equations
Checkpoint opportunity
1. Checkpoint: Polynomial operations 2. Checkpoint: Quadratic equations
Algebraic problem solving with graphs and functions
Slope		1. Find the slope of a graph 2. Find the slope from two points 3. Slope-intercept form: find the slope and y-intercept
Slope
1. Find the slope of a graph 2. Find the slope from two points 3. Slope-intercept form: find the slope and y-intercept

Two-variable linear equations		Linear functions 1. Complete a table and graph a linear function 2. Graph a linear function 3. Write the equation of a linear function Parallel and perpendicular lines 4. Slopes of parallel and perpendicular lines 5. Equations of parallel and perpendicular lines
Two-variable linear equations
Linear functions 1. Complete a table and graph a linear function 2. Graph a linear function 3. Write the equation of a linear function Parallel and perpendicular lines 4. Slopes of parallel and perpendicular lines 5. Equations of parallel and perpendicular lines

Compare two linear or quadratic functions		1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations
Compare two linear or quadratic functions
1. Compare linear functions: graphs and equations 2. Compare linear functions: tables, graphs, and equations

Checkpoint opportunity		1. Checkpoint: Analyze and compare linear and quadratic functions
Checkpoint opportunity
1. Checkpoint: Analyze and compare linear and quadratic functions

Level 4 GED® College Ready + Credit: 175-200
Quantitative problem solving in measurement
Volume and surface area of composite figures		1. Area of compound figures 2. Volume of compound figures
Volume and surface area of composite figures
1. Area of compound figures 2. Volume of compound figures

Counting techniques		1. Counting principle 2. Permutation and combination notation 3. Find probabilities using combinations and permutations
Counting techniques
1. Counting principle 2. Permutation and combination notation 3. Find probabilities using combinations and permutations

Probability		Simple and compound events 1. Calculate probabilities of events Independent and dependent events 2. Identify independent events 3. Probability of independent and dependent events
Probability
Simple and compound events 1. Calculate probabilities of events Independent and dependent events 2. Identify independent events 3. Probability of independent and dependent events
Algebraic problem solving with expressions and equations
Linear inequalities		1. Write two-variable linear inequalities: word problems
Linear inequalities
1. Write two-variable linear inequalities: word problems

Quadratic equations		Understand solutions 1. Using the discriminant Solve quadratic equations 2. Solve a quadratic equation by factoring 3. Solve a quadratic equation by completing the square 4. Solve a quadratic equation using the quadratic formula Word problems 5. Solve quadratic equations: word problems 6. Interpret parts of quadratic expressions: word problems
Quadratic equations
Understand solutions 1. Using the discriminant Solve quadratic equations 2. Solve a quadratic equation by factoring 3. Solve a quadratic equation by completing the square 4. Solve a quadratic equation using the quadratic formula Word problems 5. Solve quadratic equations: word problems 6. Interpret parts of quadratic expressions: word problems

Checkpoint opportunity		1. Checkpoint: Solve quadratic equations
Checkpoint opportunity
1. Checkpoint: Solve quadratic equations
Algebraic problem solving with graphs and functions
Two-variable linear equations		Linear functions 1. Graph a linear function 2. Write the equation of a linear function Parallel and perpendicular lines 3. Slopes of parallel and perpendicular lines 4. Equations of parallel and perpendicular lines
Two-variable linear equations
Linear functions 1. Graph a linear function 2. Write the equation of a linear function Parallel and perpendicular lines 3. Slopes of parallel and perpendicular lines 4. Equations of parallel and perpendicular lines

Compare two linear or quadratic functions		1. Compare linear functions: tables, graphs, and equations 2. Compare linear functions: graphs and equations
Compare two linear or quadratic functions
1. Compare linear functions: tables, graphs, and equations 2. Compare linear functions: graphs and equations

Checkpoint opportunity		1. Checkpoint: Analyze and compare linear and quadratic functions
Checkpoint opportunity
1. Checkpoint: Analyze and compare linear and quadratic functions

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