IXL skill plan | Math 5th grade plan for the ACT® Aspire

Skill plan for the ACT^® Aspire - Math 5th 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
Operations and Algebraic Thinking
Write numerical expressions		1. Write numerical expressions: two operations
Write numerical expressions
1. Write numerical expressions: two operations

Relate terms in a number sentence or pattern
Relate terms in a number sentence or pattern

Number and Operations in Base Ten
Understand the relationship between place values		1. Relationship between place values
Understand the relationship between place values
1. Relationship between place values

Read and write decimals		1. Word names for decimal numbers
Read and write decimals
1. Word names for decimal numbers

Interpret decimal models		1. What decimal number is illustrated? 2. Decimal number lines
Interpret decimal models
1. What decimal number is illustrated? 2. Decimal number lines
Number and Operations - Fractions
Use models to multiply fractions		1. Multiply two unit fractions using models 2. Multiply two fractions using models
Use models to multiply fractions
1. Multiply two unit fractions using models 2. Multiply two fractions using models

Use models to add or subtract fractions and to multiply fractions by whole numbers		Addition and subtraction 1. Add fractions with like denominators using area models 2. Subtract fractions with like denominators using area models 3. Add and subtract fractions with like denominators using number lines Multiplication 4. Multiply unit fractions by whole numbers using number lines 5. Multiply unit fractions by whole numbers using models 6. Multiply fractions by whole numbers using arrays 7. Multiply fractions by whole numbers using number lines
Use models to add or subtract fractions and to multiply fractions by whole numbers
Addition and subtraction 1. Add fractions with like denominators using area models 2. Subtract fractions with like denominators using area models 3. Add and subtract fractions with like denominators using number lines Multiplication 4. Multiply unit fractions by whole numbers using number lines 5. Multiply unit fractions by whole numbers using models 6. Multiply fractions by whole numbers using arrays 7. Multiply fractions by whole numbers using number lines
Measurement and Data
Convert between metric units to solve problems		1. Compare and convert metric units
Convert between metric units to solve problems
1. Compare and convert metric units

Solve problems involving the volume of right rectangular prisms		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms: word problems
Solve problems involving the volume of right rectangular prisms
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms: word problems

Use line plots with fractions to solve problems		1. Create and interpret line plots: denominators of 2 and 4
Use line plots with fractions to solve problems
1. Create and interpret line plots: denominators of 2 and 4

Use unit cubes to model volume		1. Volume of rectangular prisms made of unit cubes
Use unit cubes to model volume
1. Volume of rectangular prisms made of unit cubes
Geometry
Identify triangles and quadrilaterals and reason about their properties		Triangles 1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles Quadrilaterals 3. Identify parallelograms 4. Identify trapezoids 5. Identify rectangles 6. Identify rhombuses
Identify triangles and quadrilaterals and reason about their properties
Triangles 1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles Quadrilaterals 3. Identify parallelograms 4. Identify trapezoids 5. Identify rectangles 6. Identify rhombuses
Modeling
Use manipulatives to represent problems		1. Multiply two unit fractions using models 2. Multiply two fractions using models
Use manipulatives to represent problems
1. Multiply two unit fractions using models 2. Multiply two fractions using models
Justification and Explanation
Explain and generate patterns and sequences		1. Use a rule to complete a number pattern
Explain and generate patterns and sequences
1. Use a rule to complete a number pattern

Recognize errors in reasoning
Recognize errors in reasoning


Draw conclusions from two or more statements		1. Find the order
Draw conclusions from two or more statements
1. Find the order
Integrating Essential Skills
Add, subtract, and multiply single digit whole numbers		1. Multiplication facts to 10
Add, subtract, and multiply single digit whole numbers
1. Multiplication facts to 10

Understand place value in whole numbers		1. Place value
Understand place value in whole numbers
1. Place value

Understand fractions of a whole		1. Fractions of a whole: word problems
Understand fractions of a whole
1. Fractions of a whole: word problems

Add and subtract fractions with like denominators		1. Add and subtract fractions with like denominators 2. Add and subtract fractions with like denominators: word problems
Add and subtract fractions with like denominators
1. Add and subtract fractions with like denominators 2. Add and subtract fractions with like denominators: word problems

Multiply whole numbers by fractions		Unit fractions 1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models Fractions 3. Multiply fractions by whole numbers using arrays 4. Multiply fractions by whole numbers using number lines
Multiply whole numbers by fractions
Unit fractions 1. Multiply unit fractions by whole numbers using number lines 2. Multiply unit fractions by whole numbers using models Fractions 3. Multiply fractions by whole numbers using arrays 4. Multiply fractions by whole numbers using number lines

Recognize and complete patterns		1. Complete an increasing number pattern 2. Complete a multiplication number pattern
Recognize and complete patterns
1. Complete an increasing number pattern 2. Complete a multiplication number pattern

Recognize acute, right, and obtuse angles		1. Acute, right, and obtuse angles
Recognize acute, right, and obtuse angles
1. Acute, right, and obtuse angles

Understand properties of geometric figures involving sides and angles		1. Parallel sides in quadrilaterals
Understand properties of geometric figures involving sides and angles
1. Parallel sides in quadrilaterals

Close
Operations and Algebraic Thinking
Translate verbal expressions into symbolic expressions		1. Write numerical expressions: two operations
Translate verbal expressions into symbolic expressions
1. Write numerical expressions: two operations

Compare numerical patterns		1. Compare patterns
Compare numerical patterns
1. Compare patterns

Relate terms in a number sentence or pattern		1. Complete a table for a two-variable relationship
Relate terms in a number sentence or pattern
1. Complete a table for a two-variable relationship
Number and Operations in Base Ten
Multiply by powers of ten		1. Multiply a whole number by a power of ten 2. Multiply a decimal by a power of ten: with exponents
Multiply by powers of ten
1. Multiply a whole number by a power of ten 2. Multiply a decimal by a power of ten: with exponents

Compare decimals		1. Compare decimals using grids 2. Compare decimals on number lines 3. Compare decimal numbers
Compare decimals
1. Compare decimals using grids 2. Compare decimals on number lines 3. Compare decimal numbers

Use models, place value, or properties to perform operations with decimals		Addition and subtraction 1. Add and subtract decimal numbers Multiplication 2. Multiply a decimal by a one-digit whole number using blocks 3. Multiply a decimal by a one-digit whole number using the distributive property 4. Multiply a decimal by a two-digit whole number using area models 5. Multiply decimals using grids Division 6. Divide decimals using blocks: complete the equation 7. Divide decimals using area models: complete the equation
Use models, place value, or properties to perform operations with decimals
Addition and subtraction 1. Add and subtract decimal numbers Multiplication 2. Multiply a decimal by a one-digit whole number using blocks 3. Multiply a decimal by a one-digit whole number using the distributive property 4. Multiply a decimal by a two-digit whole number using area models 5. Multiply decimals using grids Division 6. Divide decimals using blocks: complete the equation 7. Divide decimals using area models: complete the equation

Construct and use models to round decimals
Construct and use models to round decimals

Number and Operations - Fractions
Add and subtract fractions and mixed numbers with unlike denominators		Fractions 1. Add fractions with unlike denominators using models 2. Subtract fractions with unlike denominators using models Mixed numbers 3. Add and subtract mixed numbers with unlike denominators 4. Add and subtract mixed numbers with unlike denominators: word problems
Add and subtract fractions and mixed numbers with unlike denominators
Fractions 1. Add fractions with unlike denominators using models 2. Subtract fractions with unlike denominators using models Mixed numbers 3. Add and subtract mixed numbers with unlike denominators 4. Add and subtract mixed numbers with unlike denominators: word problems

Divide fractions and whole numbers		Unit fractions 1. Divide unit fractions and whole numbers using area models 2. Divide unit fractions and whole numbers Fractions 3. Divide fractions by whole numbers 4. Divide whole numbers by fractions
Divide fractions and whole numbers
Unit fractions 1. Divide unit fractions and whole numbers using area models 2. Divide unit fractions and whole numbers Fractions 3. Divide fractions by whole numbers 4. Divide whole numbers by fractions

Use models to show equivalent fractions		1. Identify equivalent fractions using number lines 2. Find equivalent fractions using area models
Use models to show equivalent fractions
1. Identify equivalent fractions using number lines 2. Find equivalent fractions using area models
Measurement and Data
Convert between metric units to solve problems		1. Conversion tables - metric units 2. Convert metric mixed units 3. Add and subtract metric mixed units
Convert between metric units to solve problems
1. Conversion tables - metric units 2. Convert metric mixed units 3. Add and subtract metric mixed units

Count unit cubes to find volume		1. Volume of rectangular prisms made of unit cubes 2. Volume of irregular figures made of unit cubes
Count unit cubes to find volume
1. Volume of rectangular prisms made of unit cubes 2. Volume of irregular figures made of unit cubes

Solve problems involving volume of right rectangular prisms		1. Volume of rectangular prisms made of unit cubes: word problems 2. Compare volumes and dimensions of rectangular prisms: word problems
Solve problems involving volume of right rectangular prisms
1. Volume of rectangular prisms made of unit cubes: word problems 2. Compare volumes and dimensions of rectangular prisms: word problems

Use line plots with fractions to solve problems		1. Create and interpret line plots with fractions
Use line plots with fractions to solve problems
1. Create and interpret line plots with fractions

Multiply side lengths to find the volume of right rectangular prisms		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with decimal side lengths
Multiply side lengths to find the volume of right rectangular prisms
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms with decimal side lengths

Find the volume of irregular rectangular prisms		1. Volume of compound figures I
Find the volume of irregular rectangular prisms
1. Volume of compound figures I
Geometry
Graph points on the coordinate plane		1. Graph points on a coordinate plane
Graph points on the coordinate plane
1. Graph points on a coordinate plane

Classify triangles and reason about their properties		1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles
Classify triangles and reason about their properties
1. Acute, obtuse, and right triangles 2. Scalene, isosceles, and equilateral triangles 3. Classify triangles

Classify quadrilaterals and reason about their properties		1. Classify quadrilaterals
Classify quadrilaterals and reason about their properties
1. Classify quadrilaterals

Create a graph in the first quadrant of the coordinate plane		1. Graph points from a table 2. Use a rule to complete a table and a graph
Create a graph in the first quadrant of the coordinate plane
1. Graph points from a table 2. Use a rule to complete a table and a graph
Modeling
Interpret problems using manipulatives		1. Multiply a decimal by a one-digit whole number using blocks 2. Divide decimals using blocks: complete the equation
Interpret problems using manipulatives
1. Multiply a decimal by a one-digit whole number using blocks 2. Divide decimals using blocks: complete the equation
Justification and Explanation
Use conditional statements		1. Relate multiplication and division
Use conditional statements
1. Relate multiplication and division

Create visual representations		1. Model decimals and fractions 2. Compare decimals on number lines 3. Multiply a decimal by a two-digit whole number using area models
Create visual representations
1. Model decimals and fractions 2. Compare decimals on number lines 3. Multiply a decimal by a two-digit whole number using area models

Explain procedures		1. Add using properties 2. Multiply using properties
Explain procedures
1. Add using properties 2. Multiply using properties

Provide counterexamples
Provide counterexamples


Use patterns to draw conclusions		1. Multiplication patterns over increasing place values
Use patterns to draw conclusions
1. Multiplication patterns over increasing place values

Explain errors in reasoning		1. Identify mistakes involving the order of operations
Explain errors in reasoning
1. Identify mistakes involving the order of operations
Integrating Essential Skills
Explain standard algorithms for addition and subtraction		1. Add and subtract whole numbers 2. Fill in the missing digits
Explain standard algorithms for addition and subtraction
1. Add and subtract whole numbers 2. Fill in the missing digits

Write whole numbers in expanded form		1. Convert between standard and expanded form
Write whole numbers in expanded form
1. Convert between standard and expanded form

Generate and model equivalent fractions		1. Equivalent fractions 2. Identify equivalent fractions using number lines 3. Find equivalent fractions using area models
Generate and model equivalent fractions
1. Equivalent fractions 2. Identify equivalent fractions using number lines 3. Find equivalent fractions using area models

Understand units of measure		1. Compare and convert metric units
Understand units of measure
1. Compare and convert metric units

Ready
Operations and Algebraic Thinking
Interpret numerical expressions
Interpret numerical expressions


Write expressions to represent real-world problems		1. Write numerical expressions for word problems
Write expressions to represent real-world problems
1. Write numerical expressions for word problems

Graph relationships between numerical patterns		1. Graph a two-variable relationship 2. Use a rule to complete a table and a graph
Graph relationships between numerical patterns
1. Graph a two-variable relationship 2. Use a rule to complete a table and a graph
Number and Operations in Base Ten
Understand the relationship between place values		1. Relationship between place values 2. Relationship between decimal place values
Understand the relationship between place values
1. Relationship between place values 2. Relationship between decimal place values

Multiply or divide by powers of ten		1. Divide by a power of ten: with exponents 2. Multiply and divide by a power of ten: with exponents
Multiply or divide by powers of ten
1. Divide by a power of ten: with exponents 2. Multiply and divide by a power of ten: with exponents

Multiply whole numbers using the standard algorithm		1. Multiply 2-digit numbers by 2-digit numbers 2. Multiply 2-digit numbers by 3-digit numbers 3. Multiply 2-digit numbers by larger numbers
Multiply whole numbers using the standard algorithm
1. Multiply 2-digit numbers by 2-digit numbers 2. Multiply 2-digit numbers by 3-digit numbers 3. Multiply 2-digit numbers by larger numbers

Round decimals to the hundredths place		1. Round decimals
Round decimals to the hundredths place
1. Round decimals

Write decimals in expanded form		1. Convert decimals between standard and expanded form
Write decimals in expanded form
1. Convert decimals between standard and expanded form

Multiply decimals and whole numbers		1. Multiply a decimal by a one-digit whole number 2. Multiply a decimal by a multi-digit whole number
Multiply decimals and whole numbers
1. Multiply a decimal by a one-digit whole number 2. Multiply a decimal by a multi-digit whole number
Number and Operations - Fractions
Multiply fractions by whole numbers and explain the result		1. Scaling whole numbers by fractions 2. Scaling whole numbers by fractions: justify your answer
Multiply fractions by whole numbers and explain the result
1. Scaling whole numbers by fractions 2. Scaling whole numbers by fractions: justify your answer

Add and subtract fractions and mixed numbers with unlike denominators		Fractions 1. Add fractions with unlike denominators 2. Subtract fractions with unlike denominators 3. Add and subtract fractions with unlike denominators: word problems Mixed numbers 4. Add mixed numbers with unlike denominators 5. Subtract mixed numbers with unlike denominators 6. Add and subtract mixed numbers: word problems 7. Add and subtract fractions and mixed numbers in recipes
Add and subtract fractions and mixed numbers with unlike denominators
Fractions 1. Add fractions with unlike denominators 2. Subtract fractions with unlike denominators 3. Add and subtract fractions with unlike denominators: word problems Mixed numbers 4. Add mixed numbers with unlike denominators 5. Subtract mixed numbers with unlike denominators 6. Add and subtract mixed numbers: word problems 7. Add and subtract fractions and mixed numbers in recipes
Measurement and Data
Convert among units in non-metric measurement systems to solve problems		1. Compare and convert customary units 2. Conversion tables - customary units 3. Compare customary units by multiplying
Convert among units in non-metric measurement systems to solve problems
1. Compare and convert customary units 2. Conversion tables - customary units 3. Compare customary units by multiplying

Identify appropriate units of measurement		1. Choose the appropriate customary unit of measure 2. Choose the appropriate metric unit of measure
Identify appropriate units of measurement
1. Choose the appropriate customary unit of measure 2. Choose the appropriate metric unit of measure

Solve multi-step problems involving the volume of right rectangular prisms		1. Compare volumes and dimensions of rectangular prisms: word problems
Solve multi-step problems involving the volume of right rectangular prisms
1. Compare volumes and dimensions of rectangular prisms: word problems

Use line plots with fractions to solve problems		1. Create and interpret line plots with fractions
Use line plots with fractions to solve problems
1. Create and interpret line plots with fractions

Find the volume of irregular rectangular prisms		1. Volume of compound figures
Find the volume of irregular rectangular prisms
1. Volume of compound figures
Geometry
Identify points in the first quadrant of the coordinate plane		1. Objects on a coordinate plane
Identify points in the first quadrant of the coordinate plane
1. Objects on a coordinate plane

Classify and compare triangles and quadrilaterals		Triangles 1. Classify triangles Quadrilaterals 2. Classify quadrilaterals 3. Identify the relationships between quadrilaterals 4. Describe relationships among quadrilaterals
Classify and compare triangles and quadrilaterals
Triangles 1. Classify triangles Quadrilaterals 2. Classify quadrilaterals 3. Identify the relationships between quadrilaterals 4. Describe relationships among quadrilaterals

Interpret graphs		1. Analyze graphed relationships
Interpret graphs
1. Analyze graphed relationships
Modeling
Evaluate manipulative models		1. Multiply fractions by whole numbers: choose the model 2. Multiply fractions by whole numbers using models: complete the equation
Evaluate manipulative models
1. Multiply fractions by whole numbers: choose the model 2. Multiply fractions by whole numbers using models: complete the equation
Justification and Explanation
Support claims and draw conclusions
Support claims and draw conclusions


Use conditional statements, visual representations, computations, and procedures		1. Compare decimals using grids 2. Compare decimals on number lines
Use conditional statements, visual representations, computations, and procedures
1. Compare decimals using grids 2. Compare decimals on number lines

Justify and defend conclusions by explaining errors in reasoning and providing counterexamples		Order of operations 1. Identify mistakes involving the order of operations Quadrilaterals 2. Identify the relationships between quadrilaterals 3. Describe relationships among quadrilaterals
Justify and defend conclusions by explaining errors in reasoning and providing counterexamples
Order of operations 1. Identify mistakes involving the order of operations Quadrilaterals 2. Identify the relationships between quadrilaterals 3. Describe relationships among quadrilaterals
Integrating Essential Skills
Divide single-digit whole numbers		1. Division facts to 12 2. Divide multi-digit numbers by 1-digit numbers
Divide single-digit whole numbers
1. Division facts to 12 2. Divide multi-digit numbers by 1-digit numbers

Exceeding
Operations and Algebraic Thinking
Write and evaluate expressions		1. Evaluate numerical expressions with parentheses 2. Evaluate numerical expressions with parentheses and brackets 3. Evaluate numerical expressions with parentheses in different places
Write and evaluate expressions
1. Evaluate numerical expressions with parentheses 2. Evaluate numerical expressions with parentheses and brackets 3. Evaluate numerical expressions with parentheses in different places

Describe relationships in graphs		1. Analyze graphed relationships
Describe relationships in graphs
1. Analyze graphed relationships

Write and use expressions to solve real-world problems		1. Write numerical expressions for word problems
Write and use expressions to solve real-world problems
1. Write numerical expressions for word problems
Number and Operations in Base Ten
Compare numbers in expanded or standard form		1. Compare numbers up to billions
Compare numbers in expanded or standard form
1. Compare numbers up to billions

Solve multi-step problems with whole numbers and decimals		Whole numbers 1. Multi-step word problems: multiplicative comparison 2. Multi-step word problems 3. Multi-step word problems involving remainders Decimals 4. Add and subtract money: multi-step word problems 5. Multiply money amounts: multi-step word problems
Solve multi-step problems with whole numbers and decimals
Whole numbers 1. Multi-step word problems: multiplicative comparison 2. Multi-step word problems 3. Multi-step word problems involving remainders Decimals 4. Add and subtract money: multi-step word problems 5. Multiply money amounts: multi-step word problems

Round decimals to any place value		1. Round decimals 2. Compare, order, and round decimals: word problems
Round decimals to any place value
1. Round decimals 2. Compare, order, and round decimals: word problems
Number and Operations - Fractions
Solve real-world multiplication problems with fractions and mixed numbers		1. Multiply fractions by whole numbers: word problems 2. Multiply two fractions: word problems 3. Multiplication with mixed numbers: word problems 4. Multiply fractions and mixed numbers in recipes
Solve real-world multiplication problems with fractions and mixed numbers
1. Multiply fractions by whole numbers: word problems 2. Multiply two fractions: word problems 3. Multiplication with mixed numbers: word problems 4. Multiply fractions and mixed numbers in recipes

Solve multi-step problems involving fractions		1. Add 3 or more fractions: word problems
Solve multi-step problems involving fractions
1. Add 3 or more fractions: word problems
Measurement and Data
Convert units within non-metric measurement systems to solve multi-step problems		1. Multi-step problems with customary unit conversions
Convert units within non-metric measurement systems to solve multi-step problems
1. Multi-step problems with customary unit conversions

Solve multi-step problems involving the volume of composite figures		1. Volume of compound figures
Solve multi-step problems involving the volume of composite figures
1. Volume of compound figures

Make line plots with fractions		1. Create and interpret line plots with fractions
Make line plots with fractions
1. Create and interpret line plots with fractions

Use the meaning of quantities and units to solve problems		1. Compare customary units by multiplying 2. Multi-step problems with customary or metric unit conversions
Use the meaning of quantities and units to solve problems
1. Compare customary units by multiplying 2. Multi-step problems with customary or metric unit conversions
Geometry
Use graphs to represent and analyze real-world problems		1. Graph points from a table 2. Analyze graphed relationships 3. Graph patterns using rules
Use graphs to represent and analyze real-world problems
1. Graph points from a table 2. Analyze graphed relationships 3. Graph patterns using rules

Classify polygons		1. Sort polygons into Venn diagrams 2. Properties of polygons
Classify polygons
1. Sort polygons into Venn diagrams 2. Properties of polygons
Modeling
Use manipulatives to improve models		1. Multiply with mixed numbers using area models 2. Multiply a decimal by a two-digit whole number using area models 3. Multiply a mixed number by a whole number using a model II
Use manipulatives to improve models
1. Multiply with mixed numbers using area models 2. Multiply a decimal by a two-digit whole number using area models 3. Multiply a mixed number by a whole number using a model II
Justification and Explanation
Support claims with evidence and clear solution paths		1. Identify mistakes involving the order of operations
Support claims with evidence and clear solution paths
1. Identify mistakes involving the order of operations

Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples		1. Scaling whole numbers by fractions: justify your answer
Thoroughly justify conclusions by explaining errors in reasoning and providing counterexamples
1. Scaling whole numbers by fractions: justify your answer
Integrating Essential Skills
Ensure that fractions refer to the same whole when comparing		1. Compare fractions and mixed numbers
Ensure that fractions refer to the same whole when comparing
1. Compare fractions and mixed numbers

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