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

Test prep plan for the General Educational Development Test - Mathematical Reasoning

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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 and perimeter of squares and rectangles on the coordinate plane 2. Area of triangles
Area and perimeter problems
1. Area and perimeter of squares and rectangles on the coordinate plane 2. Area of triangles

Categorical data		Circle graphs 1. Interpret circle graphs Bar graphs 2. Interpret bar graphs 3. Create bar graphs Tables 4. Read a table 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. Read a table 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: two or three operations 3. Write variable expressions: word problems Evaluate variable expressions 4. Evaluate variable expressions with whole numbers 5. Evaluate variable expressions with decimals, fractions, and mixed numbers 6. Evaluate variable expressions: word problems
Linear expressions
Write variable expressions 1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions: word problems Evaluate variable expressions 4. Evaluate variable expressions with whole numbers 5. Evaluate variable expressions with decimals, fractions, and mixed numbers 6. 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: complete the solution 3. Solve two-step equations 4. Solve equations involving like terms Word problems 5. Solve one-step and 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: complete the solution 3. Solve two-step equations 4. Solve equations involving like terms Word problems 5. Solve one-step and 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
Rational expressions
1. Evaluate rational expressions

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 Real-world problems 7. 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 Real-world problems 7. Solve a system of equations using any method: word problems
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. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph
Unit rate in proportional relationships
1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph

Linear and nonlinear relationships		Interpret key features from graphs and tables 1. Find the slope of a graph 2. Rate of change: tables 3. Rate of change: graphs Interpret key features from context 4. Identify graphs: word problems
Linear and nonlinear relationships
Interpret key features from graphs and tables 1. Find the slope of a graph 2. Rate of change: tables 3. Rate of change: graphs Interpret key features from context 4. Identify graphs: word problems

Compare proportional relationships		1. Compare proportional relationships represented in different ways
Compare proportional relationships
1. Compare proportional relationships represented in different ways

Identify functions		1. Identify functions
Identify functions
1. Identify functions

Linear and quadratic functions		1. Evaluate a linear function from its graph: word problems 2. Complete a function table: quadratic functions
Linear and quadratic functions
1. Evaluate a linear function from its graph: word problems 2. Complete a function table: quadratic 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
Order fractions and decimals
1. Put rational numbers in order

Multiples and factors		1. Greatest common factor 2. Least common multiple
Multiples and factors
1. Greatest common factor 2. Least common multiple

Simplify numerical 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 rational exponents
Simplify numerical 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 rational exponents

Absolute value		1. Understanding absolute value
Absolute value
1. Understanding absolute value

Computations with rational numbers		Integers 1. Add integers 2. Subtract integers 3. Multiply and divide integers Decimals 4. Add and subtract decimal numbers 5. Multiply decimals 6. Division with decimal divisors 7. Add, subtract, multiply, or divide two decimals Fractions 8. Add and subtract fractions with unlike denominators 9. Add and subtract mixed numbers 10. Multiply two fractions 11. Multiply mixed numbers 12. Divide fractions 13. Divide fractions and mixed numbers 14. Add, subtract, multiply, or divide two fractions Rational numbers 15. Add and subtract rational numbers 16. Multiply and divide rational numbers
Computations with rational numbers
Integers 1. Add integers 2. Subtract integers 3. Multiply and divide integers Decimals 4. Add and subtract decimal numbers 5. Multiply decimals 6. Division with decimal divisors 7. Add, subtract, multiply, or divide two decimals Fractions 8. Add and subtract fractions with unlike denominators 9. Add and subtract mixed numbers 10. Multiply two fractions 11. Multiply mixed numbers 12. Divide fractions 13. Divide fractions and mixed numbers 14. Add, subtract, multiply, or divide two fractions Rational numbers 15. Add and subtract rational numbers 16. 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

Real-world problems with rational numbers		1. Add, subtract, multiply, or divide two decimals: word problems 2. Multi-step word problems 3. Rate of travel: word problems
Real-world problems with rational numbers
1. Add, subtract, multiply, or divide two decimals: word problems 2. Multi-step word problems 3. Rate of travel: word problems

Unit rates		1. Unit prices 2. Unit prices with unit conversions
Unit rates
1. Unit prices 2. Unit prices with unit conversions

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

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

Percents		Percent problems 1. Percent of change: word problems Consumer math 2. Percent of a number: tax, discount, and more 3. Which is the better coupon? 4. Find the percent: tax, discount, and more 5. Sale prices: find the original price Multi-step problems 6. Multi-step problems with percents
Percents
Percent problems 1. Percent of change: word problems Consumer math 2. Percent of a number: tax, discount, and more 3. Which is the better coupon? 4. Find the percent: tax, discount, and more 5. Sale prices: find the original price Multi-step problems 6. Multi-step problems with percents
Quantitative problem solving in measurement
Area and perimeter problems		Circles 1. Area and circumference of circles 2. Circles: word problems Polygons and compound figures 3. Area of quadrilaterals and triangles: word problems 4. Area and perimeter: word problems 5. Area of compound figures
Area and perimeter problems
Circles 1. Area and circumference of circles 2. Circles: word problems Polygons and compound figures 3. Area of quadrilaterals and triangles: word problems 4. Area and perimeter: word problems 5. Area of compound figures

Pythagorean theorem		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 4. Pythagorean theorem: find the perimeter 5. Pythagorean theorem: word problems
Pythagorean theorem
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 4. Pythagorean theorem: find the perimeter 5. Pythagorean theorem: word problems

Volume and surface area problems		Volume 1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cylinders 4. Volume of cones 5. Volume of pyramids 6. Volume of spheres Surface area 7. Surface area of cubes and rectangular prisms 8. Surface area of triangular prisms 9. Surface area of cylinders 10. Surface area of cones 11. Surface area of pyramids 12. Surface area of spheres
Volume and surface area problems
Volume 1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cylinders 4. Volume of cones 5. Volume of pyramids 6. Volume of spheres Surface area 7. Surface area of cubes and rectangular prisms 8. Surface area of triangular prisms 9. Surface area of cylinders 10. Surface area of cones 11. Surface area of pyramids 12. Surface area of spheres

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

Mean, median, mode, and weighted average		1. Find the mean 2. Find the median 3. Find the mode 4. Mean: find the missing number 5. Interpret charts and graphs to find mean, median, mode, and range 6. Weighted averages: word problems
Mean, median, mode, and weighted average
1. Find the mean 2. Find the median 3. Find the mode 4. Mean: find the missing number 5. Interpret charts and graphs to find mean, median, mode, and range 6. 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
Algebraic problem solving with expressions and equations
Linear expressions		Write linear expressions 1. Factors of linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II 4. Identify equivalent linear expressions: word problems Compute with linear expressions 5. Multiply using the distributive property 6. Add and subtract linear expressions Evaluate variable expressions 7. Evaluate one-variable expressions 8. Evaluate multi-variable expressions
Linear expressions
Write linear expressions 1. Factors of linear expressions 2. Identify equivalent linear expressions I 3. Identify equivalent linear expressions II 4. Identify equivalent linear expressions: word problems Compute with linear expressions 5. Multiply using the distributive property 6. Add and subtract linear expressions Evaluate variable expressions 7. Evaluate one-variable expressions 8. Evaluate multi-variable expressions

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 using area models 6. Multiply polynomials Factor polynomial expressions 7. Factor out a monomial 8. Factor quadratics with leading coefficient 1 9. Factor quadratics with other leading coefficients 10. Factor quadratics: special cases Polynomial expressions in context 11. 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 using area models 6. Multiply polynomials Factor polynomial expressions 7. Factor out a monomial 8. Factor quadratics with leading coefficient 1 9. Factor quadratics with other leading coefficients 10. Factor quadratics: special cases Polynomial expressions in context 11. 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 Multi-step 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 with the distributive property 6. Solve multi-step linear equations
One-variable linear equations
Two-step equations 1. Solve two-step equations Multi-step 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 with the distributive property 6. Solve multi-step linear equations

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

Linear inequalities		Solve inequalities 1. Solve one-step inequalities 2. Solve two-step linear 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
Linear inequalities
Solve inequalities 1. Solve one-step inequalities 2. Solve two-step linear 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

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
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
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 from a table 6. Slope-intercept form: write an equation 7. Point-slope form: write an equation Parallel and perpendicular lines 8. Slopes 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 from a table 6. Slope-intercept form: write an equation 7. Point-slope form: write an equation Parallel and perpendicular lines 8. Slopes of parallel and perpendicular lines

Compare proportional relationships		1. Compare proportional relationships represented in different ways
Compare proportional relationships
1. Compare proportional relationships represented in different ways

Identify functions		1. Identify functions 2. Identify functions: vertical line test
Identify functions
1. Identify functions 2. Identify functions: vertical line test

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

Level 3 GED® College Ready: 165–174
Quantitative problem solving with rational numbers
Simplify numerical expressions with rational exponents		1. Evaluate rational exponents
Simplify numerical expressions with rational exponents
1. Evaluate rational exponents

Add and subtract integers on number lines		1. Add integers using number lines 2. Subtract integers using number lines
Add and subtract integers on number lines
1. Add integers using number lines 2. Subtract integers using number lines

Numerical expressions with squares and square roots		1. Simplify radical expressions 2. Add and subtract radical expressions
Numerical expressions with squares and square roots
1. Simplify radical expressions 2. Add and subtract radical expressions

Ratios and proportions		1. Solve proportions: word problems 2. Estimate population size using proportions 3. Ratios in similar figures
Ratios and proportions
1. Solve proportions: word problems 2. Estimate population size using proportions 3. Ratios in similar figures
Quantitative problem solving in measurement
Pythagorean theorem		1. Pythagorean theorem 2. Converse of the Pythagorean theorem: is it a right triangle?
Pythagorean theorem
1. Pythagorean theorem 2. Converse of the Pythagorean theorem: is it a right triangle?

Volume and surface area problems		1. Volume of cylinders 2. Surface area of cylinders
Volume and surface area problems
1. Volume of cylinders 2. 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. Compound events: find the number of outcomes 4. Compound events: find the number of sums Independent and dependent events 5. Identify independent and dependent events 6. Probability of independent and dependent events
Probability
Simple events 1. Theoretical probability 2. Experimental probability Compound events 3. Compound events: find the number of outcomes 4. Compound events: find the number of sums Independent and dependent events 5. Identify independent and dependent events 6. 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 3. Divide polynomials by monomials Factor polynomials 4. Factor quadratics 5. Factor using a quadratic pattern 6. Factor sums and differences of cubes 7. Factor polynomials
Polynomial expressions
Compute with polynomials 1. Add and subtract polynomials 2. Multiply polynomials 3. Divide polynomials by monomials Factor polynomials 4. Factor quadratics 5. Factor using a quadratic pattern 6. Factor sums and differences of cubes 7. 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
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. 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. Equations of parallel and perpendicular lines

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

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 3. Surface area and volume review
Volume and surface area of composite figures
1. Area of compound figures 2. Volume of compound figures 3. Surface area and volume review

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 inequalities: word problems
Linear inequalities
1. Write two-variable 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 square roots 5. Solve a quadratic equation using the quadratic formula Word problems 6. Solve quadratic equations: word problems 7. 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 square roots 5. Solve a quadratic equation using the quadratic formula Word problems 6. Solve quadratic equations: word problems 7. Interpret parts of quadratic expressions: word problems
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. 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. Equations of parallel and perpendicular lines

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

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