IXL skill plan | Math 6th grade plan for the ACT® Aspire

Skill plan for the ACT^® Aspire - Math 6th grade

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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Emerging
Ratios and Proportional Relationships
Use ratios to describe relationships		1. Write a ratio using a colon 2. Which model represents the ratio?
Use ratios to describe relationships
1. Write a ratio using a colon 2. Which model represents the ratio?
The Number System
Recognize factors and multiples		Factors 1. Identify factors 2. Find all the factor pairs of a number Multiples 3. Choose the multiples of a given number
Recognize factors and multiples
Factors 1. Identify factors 2. Find all the factor pairs of a number Multiples 3. Choose the multiples of a given number

Multiply and divide to solve problems		1. Relate multiplication and division
Multiply and divide to solve problems
1. Relate multiplication and division
Expressions and Equations
Write and evaluate expressions with exponents		Whole number bases 1. Write multiplication expressions using exponents 2. Evaluate powers with whole number bases 3. Write powers of ten with exponents 4. Find the missing exponent or base Decimal or fractional bases 5. Evaluate powers with decimal bases 6. Evaluate powers with fractional bases
Write and evaluate expressions with exponents
Whole number bases 1. Write multiplication expressions using exponents 2. Evaluate powers with whole number bases 3. Write powers of ten with exponents 4. Find the missing exponent or base Decimal or fractional bases 5. Evaluate powers with decimal bases 6. Evaluate powers with fractional bases

Use repeated reasoning to solve problems with exponents		1. Find the missing exponent or base
Use repeated reasoning to solve problems with exponents
1. Find the missing exponent or base
Geometry
Solve problems involving the area of right triangles		1. Area of right triangles
Solve problems involving the area of right triangles
1. Area of right triangles
Statistics and Probability
Find the range of data sets		1. Calculate range
Find the range of data sets
1. Calculate range

Use the mean to understand data sets		1. Calculate mean
Use the mean to understand data sets
1. Calculate mean
Modeling
Represent problems using manipulatives		Ratios 1. Which model represents the ratio? Decimals 2. What decimal number is illustrated? Percents 3. What percentage is illustrated? 4. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50
Represent problems using manipulatives
Ratios 1. Which model represents the ratio? Decimals 2. What decimal number is illustrated? Percents 3. What percentage is illustrated? 4. Benchmark percents with strip models: multiples of 10, 20, 25, 33, and 50
Justification and Explanation
Explain patterns		1. Division patterns with zeros
Explain patterns
1. Division patterns with zeros

Generate sequences		1. Use a rule to complete a number pattern
Generate sequences
1. Use a rule to complete a number pattern

Identify errors in reasoning
Identify errors in reasoning


Draw conclusions from two or more statements		1. Guess-and-check word problems 2. Use logical reasoning to find the order
Draw conclusions from two or more statements
1. Guess-and-check word problems 2. Use logical reasoning to find the order
Integrating Essential Skills
Use models to multiply whole numbers		1. Multiply 1-digit numbers by 3-digit numbers using area models 2. Multiply 2-digit numbers by 2-digit numbers using area models
Use models to multiply whole numbers
1. Multiply 1-digit numbers by 3-digit numbers using area models 2. Multiply 2-digit numbers by 2-digit numbers using area models

Add and subtract fractions and mixed numbers		1. Add and subtract fractions with like denominators 2. Add and subtract mixed numbers with like denominators
Add and subtract fractions and mixed numbers
1. Add and subtract fractions with like denominators 2. Add and subtract mixed numbers with like denominators

Multiply fractions and whole numbers		1. Multiply fractions by whole numbers I 2. Multiply fractions by whole numbers II
Multiply fractions and whole numbers
1. Multiply fractions by whole numbers I 2. Multiply fractions by whole numbers II

Use sides and angles to understand the properties of geometric figures		1. Identify and classify polygons
Use sides and angles to understand the properties of geometric figures
1. Identify and classify polygons

Find the area of rectangles		1. Area of rectangles and squares
Find the area of rectangles
1. Area of rectangles and squares

Graph ordered pairs in the first quadrant		1. Graph points on a coordinate plane
Graph ordered pairs in the first quadrant
1. Graph points on a coordinate plane

Close
Ratios and Proportional Relationships
Use unit rates to solve problems		1. Unit rates
Use unit rates to solve problems
1. Unit rates
The Number System
Add, subtract, and multiply decimals		Mathematical problems 1. Add and subtract decimal numbers 2. Multiply decimals Real-world problems 3. Add, subtract, and multiply decimals: word problems
Add, subtract, and multiply decimals
Mathematical problems 1. Add and subtract decimal numbers 2. Multiply decimals Real-world problems 3. Add, subtract, and multiply decimals: word problems

Determine absolute value using number lines		1. Understanding absolute value
Determine absolute value using number lines
1. Understanding absolute value

Plot points in the third quadrant of the coordinate plane
Plot points in the third quadrant of the coordinate plane

Expressions and Equations
Identify and make sense of equivalent expressions		1. Identify equivalent expressions I 2. Identify equivalent expressions II
Identify and make sense of equivalent expressions
1. Identify equivalent expressions I 2. Identify equivalent expressions II
Geometry
Find the volume of rectangular prisms made of unit cubes		1. Volume of rectangular prisms made of unit cubes
Find the volume of rectangular prisms made of unit cubes
1. Volume of rectangular prisms made of unit cubes
Statistics and Probability
Use models, such as histograms and box plots, to represent data		1. Interpret histograms 2. Box plots
Use models, such as histograms and box plots, to represent data
1. Interpret histograms 2. Box plots
Modeling
Use manipulatives to interpret a problem		1. Identify equivalent expressions using strip models
Use manipulatives to interpret a problem
1. Identify equivalent expressions using strip models
Justification and Explanation
Use conditional statements		1. Relate multiplication and division
Use conditional statements
1. Relate multiplication and division

Create visual representations		1. Maps with decimal distances
Create visual representations
1. Maps with decimal distances

Explain procedures
Explain procedures


Provide counterexamples
Provide counterexamples


Use patterns to draw conclusions		1. Division patterns with zeros
Use patterns to draw conclusions
1. Division patterns with zeros

Support claims and draw conclusions		1. Scaling whole numbers by fractions: justify your answer
Support claims and draw conclusions
1. Scaling whole numbers by fractions: justify your answer
Integrating Essential Skills
Multiply multi-digit whole numbers		1. Multiply whole numbers
Multiply multi-digit whole numbers
1. Multiply whole numbers

Add and subtract fractions and mixed numbers		1. Add and subtract fractions with unlike denominators 2. Add and subtract mixed numbers
Add and subtract fractions and mixed numbers
1. Add and subtract fractions with unlike denominators 2. Add and subtract mixed numbers

Multiply and divide fractions by whole numbers		1. Multiply fractions by whole numbers I 2. Multiply fractions by whole numbers II 3. Divide fractions and whole numbers
Multiply and divide fractions by whole numbers
1. Multiply fractions by whole numbers I 2. Multiply fractions by whole numbers II 3. Divide fractions and whole numbers

Ready
Ratios and Proportional Relationships
Use equivalent ratios and rates and unit rates to solve real-world problems		Equivalent ratios and rates 1. Equivalent ratios: word problems 2. Rates: word problems Unit rates 3. Unit prices with customary unit conversions Word problems 4. Use tape diagrams to solve ratio word problems 5. Compare ratios: word problems 6. Ratios and rates: word problems
Use equivalent ratios and rates and unit rates to solve real-world problems
Equivalent ratios and rates 1. Equivalent ratios: word problems 2. Rates: word problems Unit rates 3. Unit prices with customary unit conversions Word problems 4. Use tape diagrams to solve ratio word problems 5. Compare ratios: word problems 6. Ratios and rates: word problems
The Number System
Divide decimals or fractions		Decimals 1. Division with decimal divisors 2. Divide decimals by whole numbers: word problems Fractions 3. Divide fractions and mixed numbers 4. Divide fractions and mixed numbers: word problems
Divide decimals or fractions
Decimals 1. Division with decimal divisors 2. Divide decimals by whole numbers: word problems Fractions 3. Divide fractions and mixed numbers 4. Divide fractions and mixed numbers: word problems

Find common factors and use them to identify equivalent expressions		1. Greatest common factor
Find common factors and use them to identify equivalent expressions
1. Greatest common factor

Explain properties of negative numbers
Explain properties of negative numbers


Find the absolute value of integers		1. Absolute value
Find the absolute value of integers
1. Absolute value

Graph points in all four quadrants		1. Graph points on a coordinate plane 2. Quadrants
Graph points in all four quadrants
1. Graph points on a coordinate plane 2. Quadrants

Use integers to describe real-world situations		1. Understanding integers
Use integers to describe real-world situations
1. Understanding integers

Model integers and absolute value on number lines		Integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines Opposite integers and absolute value 3. Understanding opposite integers 4. Understanding absolute value
Model integers and absolute value on number lines
Integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines Opposite integers and absolute value 3. Understanding opposite integers 4. Understanding absolute value
Expressions and Equations
Apply the distributive property		1. Multiply using the distributive property
Apply the distributive property
1. Multiply using the distributive property

Identify independent and dependent variables in real-world problems		1. Identify independent and dependent variables: word problems
Identify independent and dependent variables in real-world problems
1. Identify independent and dependent variables: word problems
Geometry
Solve problems involving the area of triangles and quadrilaterals		Triangles 1. Area of triangles Quadrilaterals 2. Area of parallelograms 3. Area of trapezoids 4. Area of rhombuses 5. Area of quadrilaterals Compound figures 6. Area of compound figures Real-world problems 7. Area of quadrilaterals and triangles: word problems
Solve problems involving the area of triangles and quadrilaterals
Triangles 1. Area of triangles Quadrilaterals 2. Area of parallelograms 3. Area of trapezoids 4. Area of rhombuses 5. Area of quadrilaterals Compound figures 6. Area of compound figures Real-world problems 7. Area of quadrilaterals and triangles: word problems

Use nets to calculate surface area		1. Nets of three-dimensional figures
Use nets to calculate surface area
1. Nets of three-dimensional figures
Statistics and Probability
Calculate mean, median, and mode		1. Calculate mean, median, and mode
Calculate mean, median, and mode
1. Calculate mean, median, and mode

Create histograms		1. Create histograms
Create histograms
1. Create histograms
Modeling
Solve problems by using manipulative models		Ratios 1. Use tape diagrams to solve ratio word problems Fractions 2. Multiply two fractions using models Area 3. Understanding area of a parallelogram 4. Understanding area of a triangle 5. Understanding area of a trapezoid
Solve problems by using manipulative models
Ratios 1. Use tape diagrams to solve ratio word problems Fractions 2. Multiply two fractions using models Area 3. Understanding area of a parallelogram 4. Understanding area of a triangle 5. Understanding area of a trapezoid
Justification and Explanation
Use conditional statements, visual representations, computations, and procedures		1. Compare ratios: word problems 2. Write equivalent expressions using properties
Use conditional statements, visual representations, computations, and procedures
1. Compare ratios: word problems 2. Write equivalent expressions using properties

Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples		1. Scaling by fractions and mixed numbers 2. Identify mistakes involving the order of operations
Justify conclusions by verifying claims, explaining errors in reasoning, and providing counterexamples
1. Scaling by fractions and mixed numbers 2. Identify mistakes involving the order of operations
Integrating Essential Skills
Multiply fractions and mixed numbers with unlike denominators		1. Multiply two fractions 2. Multiply mixed numbers
Multiply fractions and mixed numbers with unlike denominators
1. Multiply two fractions 2. Multiply mixed numbers

Use properties to classify geometric figures		Two-dimensional figures 1. Classify triangles 2. Classify quadrilaterals Three-dimensional figures 3. Which figure is being described?
Use properties to classify geometric figures
Two-dimensional figures 1. Classify triangles 2. Classify quadrilaterals Three-dimensional figures 3. Which figure is being described?

Write and evaluate numerical expressions		1. Evaluate numerical expressions involving whole numbers
Write and evaluate numerical expressions
1. Evaluate numerical expressions involving whole numbers

Exceeding
Ratios and Proportional Relationships
Solve percent problems		1. Percents of numbers and money amounts 2. Percents of numbers: word problems 3. Find the total given a part and a percent 4. Sale prices
Solve percent problems
1. Percents of numbers and money amounts 2. Percents of numbers: word problems 3. Find the total given a part and a percent 4. Sale prices

Compare rates and solve real-world problems involve rates		1. Compare rates: word problems 2. Ratios and rates: word problems 3. Unit prices
Compare rates and solve real-world problems involve rates
1. Compare rates: word problems 2. Ratios and rates: word problems 3. Unit prices
The Number System
Compare the absolute value of rational numbers		1. Absolute value of rational numbers 2. Inequalities with absolute values
Compare the absolute value of rational numbers
1. Absolute value of rational numbers 2. Inequalities with absolute values

Find common factors or multiples of whole numbers		1. Greatest common factor 2. Least common multiple
Find common factors or multiples of whole numbers
1. Greatest common factor 2. Least common multiple

Graph points in all four quadrants on a coordinate plane		1. Graph points on a coordinate plane 2. Distance between two points
Graph points in all four quadrants on a coordinate plane
1. Graph points on a coordinate plane 2. Distance between two points

Reason about positive and negative numbers to solve problems		Absolute value 1. Absolute value and integers: word problems Rational numbers 2. Compare and order rational numbers: word problems 3. Rational numbers: find the sign Temperature 4. Compare temperatures above and below zero
Reason about positive and negative numbers to solve problems
Absolute value 1. Absolute value and integers: word problems Rational numbers 2. Compare and order rational numbers: word problems 3. Rational numbers: find the sign Temperature 4. Compare temperatures above and below zero
Expressions and Equations
Represent linear relationships with equations and inequalities, evaluate linear expressions, and solve problems involving one-variable equations		Linear expressions 1. Evaluate variable expressions with whole numbers 2. Evaluate variable expressions with decimals, fractions, and mixed numbers One-variable equations 3. Solve one-step addition and subtraction equations with whole numbers 4. Solve one-step addition and subtraction equations with decimals and fractions 5. Solve one-step addition and subtraction equations: word problems Inequalities 6. Write inequalities from number lines Two-variable equations 7. Write an equation from a graph using a table 8. Write a two-variable equation from a table 9. Write a two-variable equation
Represent linear relationships with equations and inequalities, evaluate linear expressions, and solve problems involving one-variable equations
Linear expressions 1. Evaluate variable expressions with whole numbers 2. Evaluate variable expressions with decimals, fractions, and mixed numbers One-variable equations 3. Solve one-step addition and subtraction equations with whole numbers 4. Solve one-step addition and subtraction equations with decimals and fractions 5. Solve one-step addition and subtraction equations: word problems Inequalities 6. Write inequalities from number lines Two-variable equations 7. Write an equation from a graph using a table 8. Write a two-variable equation from a table 9. Write a two-variable equation

Solve inequalities and graph solutions		Solve inequalities 1. Solutions to inequalities 2. Solve one-step inequalities Graph solutions to inequalities 3. Graph inequalities on number lines 4. Graph solutions to one-step inequalities
Solve inequalities and graph solutions
Solve inequalities 1. Solutions to inequalities 2. Solve one-step inequalities Graph solutions to inequalities 3. Graph inequalities on number lines 4. Graph solutions to one-step inequalities

Use operations to describe the structure of expressions		Write variable expressions 1. Write variable expressions: one operation 2. Write variable expressions: two operations 3. Write variable expressions: word problems Identify parts of an expression 4. Sort factors of numerical expressions 5. Identify terms and coefficients 6. Sort factors of variable expressions
Use operations to describe the structure of expressions
Write variable expressions 1. Write variable expressions: one operation 2. Write variable expressions: two operations 3. Write variable expressions: word problems Identify parts of an expression 4. Sort factors of numerical expressions 5. Identify terms and coefficients 6. Sort factors of variable expressions
Geometry
Find the area of trapezoids by composing rectangles and triangles		1. Understanding area of a trapezoid 2. Area of trapezoids
Find the area of trapezoids by composing rectangles and triangles
1. Understanding area of a trapezoid 2. Area of trapezoids

Solve problems involving the volume of rectangular prisms		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cubes and rectangular prisms: word problems
Solve problems involving the volume of rectangular prisms
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with fractional side lengths 3. Volume of cubes and rectangular prisms: word problems

Find the surface area of three-dimensional figures		1. Surface area of cubes and rectangular prisms 2. Surface area of triangular prisms 3. Surface area of pyramids
Find the surface area of three-dimensional figures
1. Surface area of cubes and rectangular prisms 2. Surface area of triangular prisms 3. Surface area of pyramids
Statistics and Probability
Interpret the mean and median of data sets		1. Calculate mean and median
Interpret the mean and median of data sets
1. Calculate mean and median

Explain how changes in data values affect center and spread		1. Changes in mean, median, mode, and range
Explain how changes in data values affect center and spread
1. Changes in mean, median, mode, and range

Create and interpret box plots		1. Box plots
Create and interpret box plots
1. Box plots

Represent and analyze sets of data		Represent sets of data 1. Create line plots 2. Create histograms 3. Create stem-and-leaf plots Interpret sets of data 4. Interpret histograms 5. Interpret stem-and-leaf plots 6. Interpret charts and graphs to find mean, median, mode, and range 7. Describe distributions in line plots
Represent and analyze sets of data
Represent sets of data 1. Create line plots 2. Create histograms 3. Create stem-and-leaf plots Interpret sets of data 4. Interpret histograms 5. Interpret stem-and-leaf plots 6. Interpret charts and graphs to find mean, median, mode, and range 7. Describe distributions in line plots
Modeling
Use manipulatives to improve models		1. Solve percent problems using grid models 2. Solve percent problems using strip models 3. Model and solve addition equations using algebra tiles
Use manipulatives to improve models
1. Solve percent problems using grid models 2. Solve percent problems using strip models 3. Model and solve addition equations using algebra tiles
Justification and Explanation
Support claims with evidence and clear solution paths		1. Which is the better coupon? 2. Write equivalent expressions using properties
Support claims with evidence and clear solution paths
1. Which is the better coupon? 2. Write equivalent expressions using properties

Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples		1. Identify mistakes involving the order of operations
Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples
1. Identify mistakes involving the order of operations
Integrating Essential Skills
Solve multi-step problems involving fractions with unlike denominators		1. Multiply three or more fractions and whole numbers 2. Multiply three or more mixed numbers, fractions, and/or whole numbers
Solve multi-step problems involving fractions with unlike denominators
1. Multiply three or more fractions and whole numbers 2. Multiply three or more mixed numbers, fractions, and/or whole numbers

Explain how to classify polygons by sides and angles		1. Classify triangles 2. Classify quadrilaterals
Explain how to classify polygons by sides and angles
1. Classify triangles 2. Classify quadrilaterals

Write and evaluate complex numerical expressions		Write expressions 1. Write numerical expressions for word problems Evaluate expressions 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions
Write and evaluate complex numerical expressions
Write expressions 1. Write numerical expressions for word problems Evaluate expressions 2. Evaluate numerical expressions involving decimals 3. Evaluate numerical expressions involving fractions

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