IXL skill plan | Algebra 1 plan for Transition to Algebra

Skill plan for Transition to Algebra - Algebra 1

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

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1	Unit 1 Language of Algebra
Lesson 1: Exploring Number Tricks
Lesson 1: Exploring Number Tricks


Lesson 2: Creating Number Tricks		1. Add and subtract integers: input/output tables
Lesson 2: Creating Number Tricks
1. Add and subtract integers: input/output tables

Lesson 3: Balancing Mobile Puzzles		1. Which x satisfies an equation? 2. Evaluate one-variable expressions
Lesson 3: Balancing Mobile Puzzles
1. Which x satisfies an equation? 2. Evaluate one-variable expressions

Lesson 4: Describing Tricks and Puzzles		1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions from diagrams 4. Write variable expressions: word problems
Lesson 4: Describing Tricks and Puzzles
1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions from diagrams 4. Write variable expressions: word problems

Lesson 5: Logic of Tricks and Mobiles		1. Solve one-step addition and subtraction equations with whole numbers 2. Solve one-step multiplication and division equations with whole numbers 3. Solve one-step equations with whole numbers
Lesson 5: Logic of Tricks and Mobiles
1. Solve one-step addition and subtraction equations with whole numbers 2. Solve one-step multiplication and division equations with whole numbers 3. Solve one-step equations with whole numbers

2	Unit 2 Geography of the Number Line
Lesson 1: Placing Integers		1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Compare and order integers
Lesson 1: Placing Integers
1. Understanding integers 2. Integers on number lines 3. Graph integers on horizontal and vertical number lines 4. Compare and order integers

Lesson 2: Operations with Integers		1. Integer addition and subtraction rules
Lesson 2: Operations with Integers
1. Integer addition and subtraction rules

Lesson 3: Checkers and Who Am I? Puzzles		Models 1. Add integers using counters 2. Subtract integers using counters Add and subtract integers 3. Add integers 4. Subtract integers 5. Add and subtract three or more integers Word problems 6. Add and subtract integers: word problems
Lesson 3: Checkers and Who Am I? Puzzles
Models 1. Add integers using counters 2. Subtract integers using counters Add and subtract integers 3. Add integers 4. Subtract integers 5. Add and subtract three or more integers Word problems 6. Add and subtract integers: word problems

Lesson 4: Distance and Inequalities		Solutions to inequalities 1. Identify solutions to inequalities Graphing 2. Graph inequalities 3. Graph solutions to advanced linear inequalities
Lesson 4: Distance and Inequalities
Solutions to inequalities 1. Identify solutions to inequalities Graphing 2. Graph inequalities 3. Graph solutions to advanced linear inequalities

Lesson 5: Geography of Addition and Subtraction		1. Compare temperatures above and below zero
Lesson 5: Geography of Addition and Subtraction
1. Compare temperatures above and below zero

Lesson 6: Algebra on the Number Line		1. Integer addition and subtraction rules 2. Apply addition and subtraction rules
Lesson 6: Algebra on the Number Line
1. Integer addition and subtraction rules 2. Apply addition and subtraction rules

3	Unit 3 Micro-Geography of the Number Line
Lesson 1: Placing Decimals		1. Compare and order decimals 2. Decimal number lines
Lesson 1: Placing Decimals
1. Compare and order decimals 2. Decimal number lines

Lesson 2: Operations with Decimals		1. Estimate sums and differences of decimals 2. Multiply and divide decimals by powers of ten 3. Add and subtract decimals 4. Add and subtract decimals: word problems 5. Add and subtract positive and negative decimals
Lesson 2: Operations with Decimals
1. Estimate sums and differences of decimals 2. Multiply and divide decimals by powers of ten 3. Add and subtract decimals 4. Add and subtract decimals: word problems 5. Add and subtract positive and negative decimals

Lesson 3: Decimal Distance		1. Maps with decimal distances
Lesson 3: Decimal Distance
1. Maps with decimal distances

Lesson 4: Placing Fractions		1. Fractions on number lines
Lesson 4: Placing Fractions
1. Fractions on number lines

Lesson 5: Equivalent Fractions		1. Equivalent fractions
Lesson 5: Equivalent Fractions
1. Equivalent fractions

Lesson 6: Ordering Fractions		1. Compare and order fractions 2. Compare fractions: word problems
Lesson 6: Ordering Fractions
1. Compare and order fractions 2. Compare fractions: word problems

Lesson 7: Fraction Distances		1. Maps with fractional distances
Lesson 7: Fraction Distances
1. Maps with fractional distances

4	Unit 4 Area and Multiplication
Lesson 1: MysteryGrid Puzzles
Lesson 1: MysteryGrid Puzzles


Lesson 2: Multiplication Patterns		1. Integer multiplication rules 2. Multiply integers
Lesson 2: Multiplication Patterns
1. Integer multiplication rules 2. Multiply integers

Lesson 3: Measuring Area		1. Rectangles: relationship between perimeter and area 2. Area of rectangles and squares
Lesson 3: Measuring Area
1. Rectangles: relationship between perimeter and area 2. Area of rectangles and squares

Lesson 4: Area Models
Lesson 4: Area Models


Lesson 5: Area Models with Algebra		1. Factor variable expressions using the distributive property 2. Multiply using the distributive property
Lesson 5: Area Models with Algebra
1. Factor variable expressions using the distributive property 2. Multiply using the distributive property

Lesson 6: Signs and Terms		Terms and coefficients 1. Identify terms and coefficients Like terms 2. Add and subtract like terms Distributive property 3. Multiply using the distributive property Model polynomials 4. Model polynomials with algebra tiles Multiply polynomials 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles
Lesson 6: Signs and Terms
Terms and coefficients 1. Identify terms and coefficients Like terms 2. Add and subtract like terms Distributive property 3. Multiply using the distributive property Model polynomials 4. Model polynomials with algebra tiles Multiply polynomials 5. Multiply a polynomial by a monomial 6. Multiply two binomials using algebra tiles

Lesson 7: Squares and Like Terms		1. Multiply two binomials 2. Multiply two binomials: special cases 3. Multiply polynomials
Lesson 7: Squares and Like Terms
1. Multiply two binomials 2. Multiply two binomials: special cases 3. Multiply polynomials

Lesson 8: Equivalent Expressions		Add and subtract linear expressions 1. Add and subtract linear expressions Equivalent linear expressions 2. Identify equivalent linear expressions: word problems 3. Identify equivalent linear expressions
Lesson 8: Equivalent Expressions
Add and subtract linear expressions 1. Add and subtract linear expressions Equivalent linear expressions 2. Identify equivalent linear expressions: word problems 3. Identify equivalent linear expressions

5	Unit 5 Logic of Algebra
Lesson 1: Staying Balanced		1. Does x satisfy the equation? 2. Which x satisfies an equation?
Lesson 1: Staying Balanced
1. Does x satisfy the equation? 2. Which x satisfies an equation?

Lesson 2: Mobiles and Equations		1. Model and solve linear equations using algebra tiles
Lesson 2: Mobiles and Equations
1. Model and solve linear equations using algebra tiles

Lesson 3: Keeping Track of Your Steps		1. Simplify linear expressions using properties 2. Simplify variable expressions involving like terms and the distributive property
Lesson 3: Keeping Track of Your Steps
1. Simplify linear expressions using properties 2. Simplify variable expressions involving like terms and the distributive property

Lesson 4: Arranging Instructions in Order		1. Write equivalent expressions using properties
Lesson 4: Arranging Instructions in Order
1. Write equivalent expressions using properties

Lesson 5: The Language and Logic of Expressions		1. Write variable expressions
Lesson 5: The Language and Logic of Expressions
1. Write variable expressions

Lesson 6: Solving Equations One Chunk at a Time		1. Solve multi-step equations 2. Solve equations involving like terms 3. Solve two-step equations 4. Solve one-step and two-step equations: word problems 5. Solve equations with variables on both sides 6. Solve equations: mixed review 7. Solve multi-step equations: complete the solution
Lesson 6: Solving Equations One Chunk at a Time
1. Solve multi-step equations 2. Solve equations involving like terms 3. Solve two-step equations 4. Solve one-step and two-step equations: word problems 5. Solve equations with variables on both sides 6. Solve equations: mixed review 7. Solve multi-step equations: complete the solution

Lesson 7: Solving with Squares		1. Solve equations using square roots
Lesson 7: Solving with Squares
1. Solve equations using square roots

Lesson 8: Solving with Systems		1. Solve a system of equations using substitution 2. Is (x, y) a solution to the system of equations?
Lesson 8: Solving with Systems
1. Solve a system of equations using substitution 2. Is (x, y) a solution to the system of equations?

6	Unit 6 Geography of the Coordinate Plane
Lesson 1: Plotting Data		1. Coordinate plane review 2. Follow directions on a coordinate plane
Lesson 1: Plotting Data
1. Coordinate plane review 2. Follow directions on a coordinate plane

Lesson 2: Coordinating Data		1. Interpret graphs of proportional relationships 2. Interpret points on the graph of a linear function
Lesson 2: Coordinating Data
1. Interpret graphs of proportional relationships 2. Interpret points on the graph of a linear function

Lesson 3: Geometric Transformations		Graph triangles and parallelograms 1. Graph triangles and quadrilaterals Translations 2. Translations: graph the image 3. Translations: find the coordinates
Lesson 3: Geometric Transformations
Graph triangles and parallelograms 1. Graph triangles and quadrilaterals Translations 2. Translations: graph the image 3. Translations: find the coordinates

Lesson 4: Transformations with Algebra		Dilations 1. Dilations: graph the image 2. Dilations: find the coordinates Reflections 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates 5. Reflections: find the coordinates
Lesson 4: Transformations with Algebra
Dilations 1. Dilations: graph the image 2. Dilations: find the coordinates Reflections 3. Reflections over the x- and y-axes: graph the image 4. Reflections over the x- and y-axes: find the coordinates 5. Reflections: find the coordinates

Lesson 5: Intuitive Graphing
Lesson 5: Intuitive Graphing


Lesson 6: Solutions and Point Testing		1. Is (x, y) a solution to the linear equation? 2. Find values using function graphs 3. Evaluate a linear function
Lesson 6: Solutions and Point Testing
1. Is (x, y) a solution to the linear equation? 2. Find values using function graphs 3. Evaluate a linear function

Lesson 7: Graphing Relationships		1. Complete a table for a linear function 2. Complete a table and graph a linear function
Lesson 7: Graphing Relationships
1. Complete a table for a linear function 2. Complete a table and graph a linear function

7	Unit 7 Thinking Things Through Thoroughly
Lesson 1: What Can You Say for Sure?		1. Find the number of each type of coin 2. Multi-step word problems 3. Word problems: mixed review 4. Word problems with money
Lesson 1: What Can You Say for Sure?
1. Find the number of each type of coin 2. Multi-step word problems 3. Word problems: mixed review 4. Word problems with money

Lesson 2: Asking Good Questions
Lesson 2: Asking Good Questions


Lesson 3: Repeating and Generalizing		1. Guess-and-check word problems 2. Consecutive integer problems 3. Weighted averages: word problems 4. Rate of travel: word problems
Lesson 3: Repeating and Generalizing
1. Guess-and-check word problems 2. Consecutive integer problems 3. Weighted averages: word problems 4. Rate of travel: word problems

Lesson 4: Mapping it Out		1. Maps with decimal distances 2. Maps with fractional distances
Lesson 4: Mapping it Out
1. Maps with decimal distances 2. Maps with fractional distances

Lesson 5: Logic Games		1. Use logical reasoning to find the order
Lesson 5: Logic Games
1. Use logical reasoning to find the order

Lesson 6: Liars and Truthtellers
Lesson 6: Liars and Truthtellers

8	Unit 8 Logic of Fractions
Lesson 1: Rational Relationships		Equivalent fractions 1. Equivalent fractions Add and subtract fractions 2. Add and subtract fractions 3. Add and subtract fractions: word problems 4. Add and subtract mixed numbers 5. Add and subtract mixed numbers: word problems
Lesson 1: Rational Relationships
Equivalent fractions 1. Equivalent fractions Add and subtract fractions 2. Add and subtract fractions 3. Add and subtract fractions: word problems 4. Add and subtract mixed numbers 5. Add and subtract mixed numbers: word problems

Lesson 2: Multiplying with Fractions		1. Multiply fractions and whole numbers 2. Scaling whole numbers by fractions: justify your answer
Lesson 2: Multiplying with Fractions
1. Multiply fractions and whole numbers 2. Scaling whole numbers by fractions: justify your answer

Lesson 3: Fractions and Area Models		1. Multiply two fractions using models 2. Multiply fractions 3. Multiply mixed numbers
Lesson 3: Fractions and Area Models
1. Multiply two fractions using models 2. Multiply fractions 3. Multiply mixed numbers

Lesson 4: Rewriting Rational Expressions
Lesson 4: Rewriting Rational Expressions


Lesson 5: Scaling to Solve		1. Solve one-step multiplication and division equations with decimals and fractions
Lesson 5: Scaling to Solve
1. Solve one-step multiplication and division equations with decimals and fractions

Lesson 6: Scaling to Add		1. Inequalities with addition and subtraction of fractions and mixed numbers
Lesson 6: Scaling to Add
1. Inequalities with addition and subtraction of fractions and mixed numbers

Lesson 7: Proportional Reasoning		Ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio 4. Equivalent ratios: word problems Proportions 5. Solve proportions: word problems 6. Do the ratios form a proportion? 7. Do the ratios form a proportion: word problems 8. Solve proportions Unit rates 9. Unit rates
Lesson 7: Proportional Reasoning
Ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio 4. Equivalent ratios: word problems Proportions 5. Solve proportions: word problems 6. Do the ratios form a proportion? 7. Do the ratios form a proportion: word problems 8. Solve proportions Unit rates 9. Unit rates

Lesson 8: Fractions and Graphs (Rates of Change)		Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Proportional relationships 3. Write equations for proportional relationships from graphs 4. Graph proportional relationships and find the slope 5. Interpret graphs of proportional relationships
Lesson 8: Fractions and Graphs (Rates of Change)
Constant of proportionality 1. Find the constant of proportionality from a table 2. Find the constant of proportionality from a graph Proportional relationships 3. Write equations for proportional relationships from graphs 4. Graph proportional relationships and find the slope 5. Interpret graphs of proportional relationships

9	Unit 9 Points, Slopes, and Lines
Lesson 1: Comparing Points		1. Distance between two points
Lesson 1: Comparing Points
1. Distance between two points

Lesson 2: Distance		1. Pythagorean theorem: find the length of the hypotenuse 2. Distance between two points 3. Estimate square roots
Lesson 2: Distance
1. Pythagorean theorem: find the length of the hypotenuse 2. Distance between two points 3. Estimate square roots

Lesson 3: Slope		1. Find the constant of variation 2. Find the slope of a graph
Lesson 3: Slope
1. Find the constant of variation 2. Find the slope of a graph

Lesson 4: Slopes and Lines		1. Find the slope of a graph 2. Find the slope from two points 3. Graph a line using slope 4. Find the slope from a table
Lesson 4: Slopes and Lines
1. Find the slope of a graph 2. Find the slope from two points 3. Graph a line using slope 4. Find the slope from a table

Lesson 5: Collinearity
Lesson 5: Collinearity


Lesson 6: Generalizing the Equation of a Line		1. Find a missing coordinate using slope
Lesson 6: Generalizing the Equation of a Line
1. Find a missing coordinate using slope

Lesson 7: Linear Equations and Graphs		1. Write an equation from a graph using a table
Lesson 7: Linear Equations and Graphs
1. Write an equation from a graph using a table

10	Unit 10 Area Model Factoring
Lesson 1: Division Undoes Multiplication		1. Factors of linear expressions
Lesson 1: Division Undoes Multiplication
1. Factors of linear expressions

Lesson 2: Area Model Inside Out
Lesson 2: Area Model Inside Out


Lesson 3: Factoring		1. GCF of monomials 2. Factor out a monomial 3. Factor quadratics using algebra tiles
Lesson 3: Factoring
1. GCF of monomials 2. Factor out a monomial 3. Factor quadratics using algebra tiles

Lesson 4: Products, Sums, and Signs		1. Factor quadratics with leading coefficient 1
Lesson 4: Products, Sums, and Signs
1. Factor quadratics with leading coefficient 1

Lesson 5: Zero Product Property		1. Solve a quadratic equation using the zero product property
Lesson 5: Zero Product Property
1. Solve a quadratic equation using the zero product property

Lesson 6: Solve by Factoring		1. Solve a quadratic equation by factoring
Lesson 6: Solve by Factoring
1. Solve a quadratic equation by factoring

11	Unit 11 Exponents
Lesson 1: Multiplication World
Lesson 1: Multiplication World


Lesson 2: Exponents		1. Understanding exponents 2. Evaluate powers
Lesson 2: Exponents
1. Understanding exponents 2. Evaluate powers

Lesson 3: Extending Exponents		1. Understanding negative exponents 2. Evaluate powers with negative exponents
Lesson 3: Extending Exponents
1. Understanding negative exponents 2. Evaluate powers with negative exponents

Lesson 4: Equivalent Expressions		1. Multiplication rule for exponents 2. Division rule for exponents
Lesson 4: Equivalent Expressions
1. Multiplication rule for exponents 2. Division rule for exponents

Lesson 5: Area Models		1. Multiply a polynomial by a monomial 2. Multiply two binomials using algebra tiles 3. Multiply two binomials
Lesson 5: Area Models
1. Multiply a polynomial by a monomial 2. Multiply two binomials using algebra tiles 3. Multiply two binomials

Lesson 6: Simplifying Expressions		Simplify fractions 1. Write fractions in lowest terms Monomials 2. Simplify exponential expressions using the multiplication rule 3. Simplify exponential expressions using the division rule 4. Simplify exponential expressions using the multiplication and division rules
Lesson 6: Simplifying Expressions
Simplify fractions 1. Write fractions in lowest terms Monomials 2. Simplify exponential expressions using the multiplication rule 3. Simplify exponential expressions using the division rule 4. Simplify exponential expressions using the multiplication and division rules

Lesson 7: Fractions in Exponents		1. Evaluate integers raised to rational exponents
Lesson 7: Fractions in Exponents
1. Evaluate integers raised to rational exponents

12	Unit 12 Algebraic Habits of Mind
Lesson 1: Language and Logic of Algebra		1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions: word problems
Lesson 1: Language and Logic of Algebra
1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions: word problems

Lesson 2: Reasoning about Points on a Line		Fractions 1. Fractions on number lines 2. Compare and order fractions Decimals 3. Decimal number lines 4. Compare and order decimals
Lesson 2: Reasoning about Points on a Line
Fractions 1. Fractions on number lines 2. Compare and order fractions Decimals 3. Decimal number lines 4. Compare and order decimals

Lesson 3: Multiplying and Un-multiplying		Multiply polynomials 1. Multiply a polynomial by a monomial 2. Multiply two binomials using algebra tiles 3. Multiply two binomials Factoring 4. Factor out a monomial 5. Factor quadratics with leading coefficient 1
Lesson 3: Multiplying and Un-multiplying
Multiply polynomials 1. Multiply a polynomial by a monomial 2. Multiply two binomials using algebra tiles 3. Multiply two binomials Factoring 4. Factor out a monomial 5. Factor quadratics with leading coefficient 1

Lesson 4: Reasoning about Points and Lines on a Plane		1. Find the distance between two points 2. Complete a table and graph a linear function 3. Graph a line using slope
Lesson 4: Reasoning about Points and Lines on a Plane
1. Find the distance between two points 2. Complete a table and graph a linear function 3. Graph a line using slope

Lesson 5: Solving Strategically		1. Solve a quadratic equation using the zero product property 2. Identify equivalent equations 3. Solve linear equations: mixed review
Lesson 5: Solving Strategically
1. Solve a quadratic equation using the zero product property 2. Identify equivalent equations 3. Solve linear equations: mixed review

This document includes the IXL® skill alignments to Heinemann's Transition to Algebra 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 Heinemann 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.