IXL skill plan | Achieve Mathematics plan for Common Core Basics and Achieve

1	Chapter 1 Number Sense and Operations
Lesson 1.1: Order Rational Numbers		1. Identify rational and irrational numbers 2. Graph and order fractions on number lines 3. Understanding absolute value Also consider: • Order decimals using a number line • Add, subtract, multiply, and divide fractions and mixed numbers • Absolute value of integers on number lines • Add, subtract, multiply, and divide integers
Lesson 1.1: Order Rational Numbers
1. Identify rational and irrational numbers 2. Graph and order fractions on number lines 3. Understanding absolute value Also consider: • Order decimals using a number line • Add, subtract, multiply, and divide fractions and mixed numbers • Absolute value of integers on number lines • Add, subtract, multiply, and divide integers

Lesson 1.2: Apply Number Properties		1. Greatest common factor 2. Least common multiple 3. Evaluate numerical expressions involving rational numbers Also consider: • Properties of addition and multiplication • Prime factorization • Identify factors
Lesson 1.2: Apply Number Properties
1. Greatest common factor 2. Least common multiple 3. Evaluate numerical expressions involving rational numbers Also consider: • Properties of addition and multiplication • Prime factorization • Identify factors

Lesson 1.3: Compute with Exponents		Exponent rules 1. Power of a power: integer bases Scientific notation 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation Also consider: • Convert between standard and scientific notation • Understanding exponents • Evaluate powers
Lesson 1.3: Compute with Exponents
Exponent rules 1. Power of a power: integer bases Scientific notation 2. Add and subtract numbers written in scientific notation 3. Multiply numbers written in scientific notation 4. Divide numbers written in scientific notation Also consider: • Convert between standard and scientific notation • Understanding exponents • Evaluate powers

Lesson 1.4: Compute with Roots		1. Simplify radical expressions 2. Multiply radicals 3. Simplify radicals with fractions Also consider: • Square roots of perfect squares • Estimate positive square roots • Relationship between squares and square roots • Cube roots of positive perfect cubes • Estimate cube roots • Evaluate integers raised to positive rational exponents
Lesson 1.4: Compute with Roots
1. Simplify radical expressions 2. Multiply radicals 3. Simplify radicals with fractions Also consider: • Square roots of perfect squares • Estimate positive square roots • Relationship between squares and square roots • Cube roots of positive perfect cubes • Estimate cube roots • Evaluate integers raised to positive rational exponents

2	Chapter 2 Ratio, Proportion, and Probability
Lesson 2.1: Apply Ratio and Proportions		Rates 1. Unit rates 2. Unit prices Proportions 3. Solve proportions 4. Solve proportions: word problems Also consider: • Identify equivalent ratios • Scale drawings: word problems • Write an equivalent ratio
Lesson 2.1: Apply Ratio and Proportions
Rates 1. Unit rates 2. Unit prices Proportions 3. Solve proportions 4. Solve proportions: word problems Also consider: • Identify equivalent ratios • Scale drawings: word problems • Write an equivalent ratio

Lesson 2.2: Calculate Real-World Percentages		1. Percent of change: word problems 2. Percent of a number: tax, discount, and more 3. Simple interest 4. Find the percent: tax, discount, and more Also consider: • Convert between percents, fractions, and decimals • Percent of change
Lesson 2.2: Calculate Real-World Percentages
1. Percent of change: word problems 2. Percent of a number: tax, discount, and more 3. Simple interest 4. Find the percent: tax, discount, and more Also consider: • Convert between percents, fractions, and decimals • Percent of change

Lesson 2.3: Use Counting Techniques		1. Factorials 2. Counting principle 3. Combinations and permutations
Lesson 2.3: Use Counting Techniques
1. Factorials 2. Counting principle 3. Combinations and permutations

Lesson 2.4: Determine Probability		1. Calculate probabilities of events 2. Probability of independent and dependent events 3. Theoretical and experimental probability Also consider: • Identify independent events • Outcomes of compound events
Lesson 2.4: Determine Probability
1. Calculate probabilities of events 2. Probability of independent and dependent events 3. Theoretical and experimental probability Also consider: • Identify independent events • Outcomes of compound events

3	Chapter 3 Linear Equations and Inequalities
Lesson 3.1: Evaluate Linear Expressions		1. Write variable expressions 2. Evaluate one-variable expressions 3. Add and subtract linear expressions Also consider: • Write variable expressions: word problems • Identify terms and coefficients • Add and subtract like terms • Multiply using the distributive property • Write equivalent expressions using properties
Lesson 3.1: Evaluate Linear Expressions
1. Write variable expressions 2. Evaluate one-variable expressions 3. Add and subtract linear expressions Also consider: • Write variable expressions: word problems • Identify terms and coefficients • Add and subtract like terms • Multiply using the distributive property • Write equivalent expressions using properties

Lesson 3.2: Solve Linear Equations		1. Write variable equations 2. Solve two-step linear equations 3. Solve linear equations with variables on one side Also consider: • Solve one-step linear equations
Lesson 3.2: Solve Linear Equations
1. Write variable equations 2. Solve two-step linear equations 3. Solve linear equations with variables on one side Also consider: • Solve one-step linear equations

Lesson 3.3: Solve Linear Inequalities		One-step inequalities 1. Solve one-step linear inequalities 2. Graph solutions to one-step linear inequalities Two-step inequalities 3. Solve two-step linear inequalities 4. Graph solutions to two-step linear inequalities Advanced inequalities 5. Solve advanced linear inequalities 6. Graph solutions to advanced linear inequalities Also consider: • Graph inequalities • Write inequalities from graphs • Identify solutions to inequalities
Lesson 3.3: Solve Linear Inequalities
One-step inequalities 1. Solve one-step linear inequalities 2. Graph solutions to one-step linear inequalities Two-step inequalities 3. Solve two-step linear inequalities 4. Graph solutions to two-step linear inequalities Advanced inequalities 5. Solve advanced linear inequalities 6. Graph solutions to advanced linear inequalities Also consider: • Graph inequalities • Write inequalities from graphs • Identify solutions to inequalities

Lesson 3.4: Use Expressions, Equations, and Inequalities to Solve Real-World Problems		1. Solve one-step and two-step linear equations: word problems 2. Write variable expressions: word problems
Lesson 3.4: Use Expressions, Equations, and Inequalities to Solve Real-World Problems
1. Solve one-step and two-step linear equations: word problems 2. Write variable expressions: word problems

4	Chapter 4 Polynomial and Rational Expressions
Lesson 4.1: Evaluate Polynomials		1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials Also consider: • Add and subtract polynomials using algebra tiles • Add polynomials to find perimeter • Multiply two binomials using algebra tiles
Lesson 4.1: Evaluate Polynomials
1. Polynomial vocabulary 2. Add and subtract polynomials 3. Multiply polynomials Also consider: • Add and subtract polynomials using algebra tiles • Add polynomials to find perimeter • Multiply two binomials using algebra tiles

Lesson 4.2: Factor Polynomials		1. Factor out a monomial 2. Factor quadratics Also consider: • Factor quadratics using algebra tiles
Lesson 4.2: Factor Polynomials
1. Factor out a monomial 2. Factor quadratics Also consider: • Factor quadratics using algebra tiles

Lesson 4.3: Solve Quadratic Equations		Complete the square 1. Complete the square Discriminant 2. Using the discriminant Solve a quadratic equation 3. Solve a quadratic equation using the zero product property 4. Solve a quadratic equation by factoring 5. Solve a quadratic equation using square roots 6. Solve a quadratic equation by completing the square 7. Solve a quadratic equation using the quadratic formula: real solutions
Lesson 4.3: Solve Quadratic Equations
Complete the square 1. Complete the square Discriminant 2. Using the discriminant Solve a quadratic equation 3. Solve a quadratic equation using the zero product property 4. Solve a quadratic equation by factoring 5. Solve a quadratic equation using square roots 6. Solve a quadratic equation by completing the square 7. Solve a quadratic equation using the quadratic formula: real solutions

Lesson 4.4: Evaluate Rational Expressions		1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions Also consider: • Evaluate rational expressions I • Evaluate rational expressions II
Lesson 4.4: Evaluate Rational Expressions
1. Simplify rational expressions 2. Multiply and divide rational expressions 3. Add and subtract rational expressions Also consider: • Evaluate rational expressions I • Evaluate rational expressions II

5	Chapter 5 Linear Equations in the Coordinate Plane
Lesson 5.1: Interpret Slope		1. Find the slope from a graph 2. Find the slope from two points 3. Find the constant of variation Also consider: • Coordinate plane review
Lesson 5.1: Interpret Slope
1. Find the slope from a graph 2. Find the slope from two points 3. Find the constant of variation Also consider: • Coordinate plane review

Lesson 5.2: Write the Equation of a Line		1. Write the equation of a linear function 2. Point-slope form: write an equation 3. Slope-intercept form: write an equation from a graph 4. Write linear equations in standard form Also consider: • Slope-intercept form: write an equation from a table • Write a linear equation from two points • Slope-intercept form: find the slope and y-intercept
Lesson 5.2: Write the Equation of a Line
1. Write the equation of a linear function 2. Point-slope form: write an equation 3. Slope-intercept form: write an equation from a graph 4. Write linear equations in standard form Also consider: • Slope-intercept form: write an equation from a table • Write a linear equation from two points • Slope-intercept form: find the slope and y-intercept

Lesson 5.3: Graph Linear Equations		1. Complete a table and graph a linear function 2. Slope-intercept form: graph an equation 3. Linear equations: solve for y
Lesson 5.3: Graph Linear Equations
1. Complete a table and graph a linear function 2. Slope-intercept form: graph an equation 3. Linear equations: solve for y

Lesson 5.4: Solve Systems of Linear Equations		Classify a system 1. Classify a system of equations Solve by graphing 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems Solve by substitution 4. Solve a system of equations using substitution 5. Solve a system of equations using substitution: word problems Solve by elimination 6. Solve a system of equations using elimination 7. Solve a system of equations using elimination: word problems Also consider: • Solve a system of equations using any method: word problems
Lesson 5.4: Solve Systems of Linear Equations
Classify a system 1. Classify a system of equations Solve by graphing 2. Solve a system of equations by graphing 3. Solve a system of equations by graphing: word problems Solve by substitution 4. Solve a system of equations using substitution 5. Solve a system of equations using substitution: word problems Solve by elimination 6. Solve a system of equations using elimination 7. Solve a system of equations using elimination: word problems Also consider: • Solve a system of equations using any method: word problems

6	Chapter 6 Functions
Lesson 6.1: Identify a Function		1. Identify functions 2. Evaluate a function Also consider: • Find values using function graphs • Complete a table for a function graph
Lesson 6.1: Identify a Function
1. Identify functions 2. Evaluate a function Also consider: • Find values using function graphs • Complete a table for a function graph

Lesson 6.2: Identify Linear and Quadratic Functions		1. Complete a function table: quadratic functions 2. Identify linear functions from tables Also consider: • Identify the graph of a linear equation
Lesson 6.2: Identify Linear and Quadratic Functions
1. Complete a function table: quadratic functions 2. Identify linear functions from tables Also consider: • Identify the graph of a linear equation

Lesson 6.3: Identify Key Features of a Graph		1. Characteristics of quadratic functions: graphs Also consider: • Complete a function table from a graph • Complete a function table from an equation
Lesson 6.3: Identify Key Features of a Graph
1. Characteristics of quadratic functions: graphs Also consider: • Complete a function table from a graph • Complete a function table from an equation

Lesson 6.4: Compare Functions		1. Compare linear functions: tables, graphs, and equations
Lesson 6.4: Compare Functions
1. Compare linear functions: tables, graphs, and equations

7	Chapter 7 Geometry and Measurement
Lesson 7.1: Compute Perimeter and Area of Polygons		Perimeter 1. Perimeter Area 2. Area of rectangles and squares 3. Area of parallelograms and triangles 4. Area of trapezoids Also consider: • Pythagorean theorem
Lesson 7.1: Compute Perimeter and Area of Polygons
Perimeter 1. Perimeter Area 2. Area of rectangles and squares 3. Area of parallelograms and triangles 4. Area of trapezoids Also consider: • Pythagorean theorem

Lesson 7.2: Compute Circumference and Area of Circles		1. Area and circumference of circles
Lesson 7.2: Compute Circumference and Area of Circles
1. Area and circumference of circles

Lesson 7.3: Compute Surface Area and Volume		Prisms and cylinders 1. Surface area and volume of rectangular prisms 2. Surface area of prisms and cylinders 3. Volume of prisms and cylinders Pyramids and cones 4. Surface area of pyramids and cones 5. Volume of pyramids and cones Spheres 6. Surface area of spheres 7. Volume of spheres
Lesson 7.3: Compute Surface Area and Volume
Prisms and cylinders 1. Surface area and volume of rectangular prisms 2. Surface area of prisms and cylinders 3. Volume of prisms and cylinders Pyramids and cones 4. Surface area of pyramids and cones 5. Volume of pyramids and cones Spheres 6. Surface area of spheres 7. Volume of spheres

Lesson 7.4: Compute Perimeter, Area, Surface Area, and Volume of Composite Figures		1. Area of compound figures 2. Volume of compound figures
Lesson 7.4: Compute Perimeter, Area, Surface Area, and Volume of Composite Figures
1. Area of compound figures 2. Volume of compound figures

8	Chapter 8 Data Analysis
Lesson 8.1: Calculate Measures of Central Tendency		1. Mean, median, mode, and range 2. Weighted averages: word problems
Lesson 8.1: Calculate Measures of Central Tendency
1. Mean, median, mode, and range 2. Weighted averages: word problems

Lesson 8.2: Display Categorical Data		1. Interpret bar graphs 2. Create bar graphs 3. Interpret circle graphs
Lesson 8.2: Display Categorical Data
1. Interpret bar graphs 2. Create bar graphs 3. Interpret circle graphs

Lesson 8.3: Display One-Variable Data		Line plots 1. Interpret line plots 2. Create line plots Histograms 3. Interpret histograms 4. Create histograms Box plots 5. Box plots Also consider: • Calculate quartiles and interquartile range
Lesson 8.3: Display One-Variable Data
Line plots 1. Interpret line plots 2. Create line plots Histograms 3. Interpret histograms 4. Create histograms Box plots 5. Box plots Also consider: • Calculate quartiles and interquartile range

Lesson 8.4: Display Two-Variable Data		Scatter plots 1. Interpret a scatter plot 2. Create scatter plots Line graphs 3. Interpret line graphs 4. Create line graphs
Lesson 8.4: Display Two-Variable Data
Scatter plots 1. Interpret a scatter plot 2. Create scatter plots Line graphs 3. Interpret line graphs 4. Create line graphs

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