IXL skill plan | Mathematics plan for the New Jersey Graduation Proficiency Assessment

Skill plan for the New Jersey Graduation Proficiency Assessment - Mathematics

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

Content area

Algebra
Geometry

Print skill plan

Algebra
Sub-Claim A - Major Content
Expressions		Polynomial operations 1. Checkpoint: Add, subtract, and multiply polynomials Factoring 2. Factor quadratics with other leading coefficients 3. Factor quadratics: special cases
Expressions
Polynomial operations 1. Checkpoint: Add, subtract, and multiply polynomials Factoring 2. Factor quadratics with other leading coefficients 3. Factor quadratics: special cases

Interpreting Functions		1. Identify functions: vertical line test 2. Domain and range of relations 3. Domain and range of quadratic functions: equations 4. Interpret functions using everyday language 5. Evaluate a linear function from its graph: word problems 6. Evaluate a function
Interpreting Functions
1. Identify functions: vertical line test 2. Domain and range of relations 3. Domain and range of quadratic functions: equations 4. Interpret functions using everyday language 5. Evaluate a linear function from its graph: word problems 6. Evaluate a function

Rate of Change		1. Checkpoint: Average rate of change
Rate of Change
1. Checkpoint: Average rate of change

Solving Algebraically		Linear equations and inequalities 1. Solve linear equations: mixed review 2. Solve advanced linear inequalities Quadratic equations 3. Solve a quadratic equation by factoring 4. Solve a quadratic equation using the quadratic formula Multi-variable equations 5. Rearrange multi-variable equations
Solving Algebraically
Linear equations and inequalities 1. Solve linear equations: mixed review 2. Solve advanced linear inequalities Quadratic equations 3. Solve a quadratic equation by factoring 4. Solve a quadratic equation using the quadratic formula Multi-variable equations 5. Rearrange multi-variable equations

Solving Graphically		Graph solution sets 1. Relate the graph of a linear equation to its solutions 2. Solve a system of equations by graphing 3. Solve systems of linear inequalities by graphing Approximate solutions 4. Approximate solutions using a table
Solving Graphically
Graph solution sets 1. Relate the graph of a linear equation to its solutions 2. Solve a system of equations by graphing 3. Solve systems of linear inequalities by graphing Approximate solutions 4. Approximate solutions using a table
Sub-Claim B - Additional & Supporting Content
Number Systems		1. Classify rational and irrational numbers
Number Systems
1. Classify rational and irrational numbers

Equivalent Expressions and Functions		1. Write a quadratic function in vertex form
Equivalent Expressions and Functions
1. Write a quadratic function in vertex form

Interpreting Graphs of Functions		1. Graph linear functions 2. Characteristics of quadratic functions: graphs 3. Match quadratic functions and graphs 4. Match cubic functions and graphs
Interpreting Graphs of Functions
1. Graph linear functions 2. Characteristics of quadratic functions: graphs 3. Match quadratic functions and graphs 4. Match cubic functions and graphs

Function Transformations		1. Transformations of linear functions 2. Transformations of quadratic functions
Function Transformations
1. Transformations of linear functions 2. Transformations of quadratic functions

Multiple Representations of Functions		1. Solve a system of equations using any method: word problems 2. Compare linear functions: tables, graphs, and equations 3. Write linear and exponential functions from tables 4. Write linear and exponential functions: word problems
Multiple Representations of Functions
1. Solve a system of equations using any method: word problems 2. Compare linear functions: tables, graphs, and equations 3. Write linear and exponential functions from tables 4. Write linear and exponential functions: word problems

Summarizing, Representing, and Interpreting Data		1. Checkpoint: Two-way frequency tables 2. Checkpoint: Linear modeling
Summarizing, Representing, and Interpreting Data
1. Checkpoint: Two-way frequency tables 2. Checkpoint: Linear modeling
Sub-Claim C - Expressing Mathematical Reasoning
Reasoning		1. Properties of operations on rational and irrational numbers 2. Checkpoint: Solve linear equations and inequalities 3. Describe linear and exponential growth and decay 4. Checkpoint: Quadratic equations 5. Checkpoint: Solve equations using graphs and tables 6. Checkpoint: Systems of equations and inequalities 7. Checkpoint: Function transformations
Reasoning
1. Properties of operations on rational and irrational numbers 2. Checkpoint: Solve linear equations and inequalities 3. Describe linear and exponential growth and decay 4. Checkpoint: Quadratic equations 5. Checkpoint: Solve equations using graphs and tables 6. Checkpoint: Systems of equations and inequalities 7. Checkpoint: Function transformations
Sub-Claim D - Modeling and Application
Modeling		1. Checkpoint: Units and quantities 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Modeling with linear equations and inequalities
Modeling
1. Checkpoint: Units and quantities 2. Checkpoint: Modeling with linear, quadratic, and exponential equations and inequalities 3. Checkpoint: Modeling with linear equations and inequalities

Geometry
Sub-Claim A - Major Content
Congruence Transformations		Congruence transformations 1. Transformations that carry a polygon onto itself 2. Congruence transformations: mixed review Geometric theorems 3. Proofs involving angles 4. Proofs involving parallel lines I 5. Proofs involving parallel lines II 6. Proofs involving triangles I 7. Proofs involving triangles II
Congruence Transformations
Congruence transformations 1. Transformations that carry a polygon onto itself 2. Congruence transformations: mixed review Geometric theorems 3. Proofs involving angles 4. Proofs involving parallel lines I 5. Proofs involving parallel lines II 6. Proofs involving triangles I 7. Proofs involving triangles II

Similarity		Dilations 1. Checkpoint: Dilations Similarity transformations 2. Similar triangles and similarity transformations Similar triangles 3. Similarity rules for triangles 4. Triangle Proportionality Theorem 5. Midsegments of triangles
Similarity
Dilations 1. Checkpoint: Dilations Similarity transformations 2. Similar triangles and similarity transformations Similar triangles 3. Similarity rules for triangles 4. Triangle Proportionality Theorem 5. Midsegments of triangles

Similarity in Trigonometry		1. Trigonometric ratios in similar right triangles 2. Sine and cosine of complementary angles 3. Solve a right triangle
Similarity in Trigonometry
1. Trigonometric ratios in similar right triangles 2. Sine and cosine of complementary angles 3. Solve a right triangle

Modeling and Applying		1. Checkpoint: Partition a line segment 2. Checkpoint: Area and perimeter in the coordinate plane 3. Pythagorean theorem
Modeling and Applying
1. Checkpoint: Partition a line segment 2. Checkpoint: Area and perimeter in the coordinate plane 3. Pythagorean theorem
Sub-Claim B - Additional & Supporting Content
Transformations		1. Checkpoint: Definitions of geometric objects 2. Checkpoint: Congruence transformations
Transformations
1. Checkpoint: Definitions of geometric objects 2. Checkpoint: Congruence transformations

Geometric Constructions		1. Construct an angle bisector 2. Construct the midpoint or perpendicular bisector of a segment
Geometric Constructions
1. Construct an angle bisector 2. Construct the midpoint or perpendicular bisector of a segment

Applying Geometric Properties and Theorems		1. Checkpoint: Angles and lines in circles 2. Checkpoint: Arc length and area of sectors 3. Find properties of circles from equations in general form
Applying Geometric Properties and Theorems
1. Checkpoint: Angles and lines in circles 2. Checkpoint: Arc length and area of sectors 3. Find properties of circles from equations in general form

Geometric Formulas		1. Volume of prisms and pyramids 2. Volume of cylinders, cones, and spheres 3. Checkpoint: Cross sections and solids of revolution
Geometric Formulas
1. Volume of prisms and pyramids 2. Volume of cylinders, cones, and spheres 3. Checkpoint: Cross sections and solids of revolution
Sub-Claim C - Expressing Mathematical Reasoning
Reasoning		1. Checkpoint: Coordinate proofs 2. Checkpoint: Parallel and perpendicular lines 3. Checkpoint: Rigid motion and congruence 4. Checkpoint: Geometric constructions 5. Checkpoint: Similarity transformations 6. Checkpoint: Triangle similarity and congruence 7. Checkpoint: Triangle theorems 8. Checkpoint: Line and angle theorems
Reasoning
1. Checkpoint: Coordinate proofs 2. Checkpoint: Parallel and perpendicular lines 3. Checkpoint: Rigid motion and congruence 4. Checkpoint: Geometric constructions 5. Checkpoint: Similarity transformations 6. Checkpoint: Triangle similarity and congruence 7. Checkpoint: Triangle theorems 8. Checkpoint: Line and angle theorems
Sub-Claim D - Modeling and Application
Modeling		1. Checkpoint: Right triangle trigonometry 2. Checkpoint: Volume 3. Checkpoint: Geometric modeling and design 4. Checkpoint: Density
Modeling
1. Checkpoint: Right triangle trigonometry 2. Checkpoint: Volume 3. Checkpoint: Geometric modeling and design 4. Checkpoint: Density

This document includes IXL skill alignments to the New Jersey Graduation Proficiency Assessment. IXL provides skill alignments as a service to teachers, students, and parents. The skill alignments are not affiliated with, sponsored by, or endorsed by New Jersey Department of Education. IXL and IXL Learning are registered trademarks of IXL Learning, Inc. All other trademarks and registered trademarks and copyrights are the property of their respective owners.