© 2021 Curriculum Associates, LLC. All rights reserved. | 04/21 125K
430
550
Typical 488
Stretch 501
Key
PDF
Number and
Operations
Placement by Domain
Grade 4
456
Can Do
Developmental Analysis
Next Steps & Resources for Instruction
Read and write whole numbers through thousands
in expanded form and standard form and identify
the value of the digits.
Read and write whole numbers through hundred
millions in expanded form and standard form and
identify the value of the digits.
Compare and order numbers through hundred
millions.
Add multi-digit numbers.
Multiply a whole number by a power of 10 or a
multiple of 10.
Identify fractions that name part of a whole
(denominators of 2, 3, 4, 6, 8, 10, 12).
Standards
Standards
Standards
Standards
Standards
Standards
Compare two decimals to hundredths, including
amounts of money.
Standards
At placement levels 3–5 this domain addresses four operations with whole numbers with an emphasis on multiplication and division, as well as
understanding of and computation with decimals and fractions. Test results indicate that Anna could benefit from practicing multi-digit whole number
operations and fraction concepts.
Test results suggest that Anna would benefit from intervention focused on skills and concepts related to quantitative reasoning and representation. Instruction
that connects understanding of number relationships with computation and problem-solving skills will strengthen Anna’s math abilities across domains. This
priority places Anna in Instructional Grouping 2.
Base Ten Base Ten
Fractions
– Subtract multi-digit numbers.
Subtract multi-digit numbers.
Tools for Instruction
Subtract Multi-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 3: Add and Subtract Whole Numbers
Lesson 4: Round Whole Numbers
– Multiply three-digit numbers by one-digit numbers.
Multiply three-digit numbers by one-digit numbers.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 11: Multiply Whole Numbers
– Recognize that in a multi-digit whole number, a digit in one . . .
Recognize that in a multi-digit whole number, a digit in one place
represents 10 times what it represents in the place to its right.
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
– Multiply a whole number of up to four digits by a one-digit . . .
Multiply a whole number of up to four digits by a one-digit whole number using
strategies based on place value and the properties of operations.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
Fractions
– Recognize and generate equivalent fractions.
Recognize and generate equivalent fractions.
Tools for Instruction
Equivalent Fractions
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
– Decompose a fraction into a sum of fractions with like denominators.
Decompose a fraction into a sum of fractions with like denominators.
Tools for Instruction
Fractions as Sums
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
Lesson 15: Understand Fraction Addition and Subtraction
– Compare two fractions with different numerators and different . . .
Compare two fractions with different numerators and different
denominators using a visual fraction model.
Tools for Instruction
Understand Comparing Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Compare two fractions with unlike denominators.
Compare two fractions with unlike denominators.
Tools for Instruction
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Add and subtract fractions with like denominators.
Add and subtract fractions with like denominators.
Tools for Instruction
Add and Subtract Mixed Numbers
Understand Fraction Addition and Subtraction
Add and Subtract Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 15: Understand Fraction Addition and Subtraction
Lesson 16: Add and Subtract Fractions
Lesson 17: Add and Subtract Mixed Numbers
Diagnostic 1
Anna Jones Grade 5
Diagnostic Results
Subject
Math
Diagnostic
Diagnostic 1 (09/14/21)
Algebra and
Algebraic Thinking
Measurement
and Data
Geometry
Mid 5
457506
Grade 4
465
Grade 4
This Diagnostic is considered the
baseline and is used to establish
Growth Measures for this student.
Diagnostic 1
On Grade Level (480–540)
Mid On Grade Level (498)
The average annual growth for a
student at this grade and
placement level on their baseline
Diagnostic.
Stretch Growth
An ambitious, but attainable, level
of annual growth that puts
students who are not yet proficient
(Mid On Grade Level or above) on a
path toward proficiency and helps
students who are already on track
for proficiency to achieve or
maintain advanced proficiency
levels.
Typical Growth
Grade 4 (472)
Standard Error +/- 7
Overall
Grade 4
Mid 5
Grade 4
Grade 4
Number and Operations
Algebra and Algebraic
Thinking
Measurement and Data
Geometry
Domain Placement
Can Dos &
Next Steps
National Norm
52nd Percentile
Quantile Range:
650Q–750Q
Quantile Measure:
700Q
National Norm and Quantile
®
Framework for Mathematics Measure
Understanding Quantile measures
Regina Moore
Reports
QUANTILE
®
and the QUANTILE
®
Framework for Mathematics are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad.
Copyright © 2021 MetaMetrics, Inc. All rights reserved.
430
550
Typical 488
Stretch 501
Key
PDF
Number and
Operations
Grade 4
456
Can Do
Developmental Analysis
Next Steps & Resources for Instruction
Read and write whole numbers through thousands
in expanded form and standard form and identify
the value of the digits.
Read and write whole numbers through hundred
millions in expanded form and standard form and
identify the value of the digits.
Compare and order numbers through hundred
millions.
Add multi-digit numbers.
Multiply a whole number by a power of 10 or a
multiple of 10.
Identify fractions that name part of a whole
(denominators of 2, 3, 4, 6, 8, 10, 12).
Standards
Standards
Standards
Standards
Standards
Standards
Compare two decimals to hundredths, including
amounts of money.
Standards
At placement levels 3–5 this domain addresses four operations with whole numbers with an emphasis on multiplication and division, as well as
understanding of and computation with decimals and fractions. Test results indicate that Anna could benefit from practicing multi-digit whole number
operations and fraction concepts.
Test results suggest that Anna would benefit from intervention focused on skills and concepts related to quantitative reasoning and representation. Instruction
that connects understanding of number relationships with computation and problem-solving skills will strengthen Anna’s math abilities across domains. This
priority places Anna in Instructional Grouping 2.
Base Ten Base Ten
Fractions
– Subtract multi-digit numbers.
Subtract multi-digit numbers.
Tools for Instruction
Subtract Multi-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 3: Add and Subtract Whole Numbers
Lesson 4: Round Whole Numbers
– Multiply three-digit numbers by one-digit numbers.
Multiply three-digit numbers by one-digit numbers.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 11: Multiply Whole Numbers
– Recognize that in a multi-digit whole number, a digit in one . . .
Recognize that in a multi-digit whole number, a digit in one place
represents 10 times what it represents in the place to its right.
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
– Multiply a whole number of up to four digits by a one-digit . . .
Multiply a whole number of up to four digits by a one-digit whole number using
strategies based on place value and the properties of operations.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
Fractions
– Recognize and generate equivalent fractions.
Recognize and generate equivalent fractions.
Tools for Instruction
Equivalent Fractions
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
– Decompose a fraction into a sum of fractions with like denominators.
Decompose a fraction into a sum of fractions with like denominators.
Tools for Instruction
Fractions as Sums
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
Lesson 15: Understand Fraction Addition and Subtraction
– Compare two fractions with different numerators and different . . .
Compare two fractions with different numerators and different
denominators using a visual fraction model.
Tools for Instruction
Understand Comparing Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Compare two fractions with unlike denominators.
Compare two fractions with unlike denominators.
Tools for Instruction
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Add and subtract fractions with like denominators.
Add and subtract fractions with like denominators.
Tools for Instruction
Add and Subtract Mixed Numbers
Understand Fraction Addition and Subtraction
Add and Subtract Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 15: Understand Fraction Addition and Subtraction
Lesson 16: Add and Subtract Fractions
Lesson 17: Add and Subtract Mixed Numbers
Diagnostic 1
472
Grade 4
09/14/21
Anna Jones Grade 5
Diagnostic Results
Subject
Math
Diagnostic
Diagnostic 1 (09/14/21)
Algebra and
Algebraic Thinking
Measurement
and Data
Geometry
Mid 5
457506
Grade 4
465
Grade 4
This Diagnostic is considered the
baseline and is used to establish
Growth Measures for this student.
Diagnostic 1
On Grade Level (480–540)
Mid On Grade Level (498)
The average annual growth for a
student at this grade and
placement level on their baseline
Diagnostic.
Stretch Growth
An ambitious, but attainable, level
of annual growth that puts
students who are not yet proficient
(Mid On Grade Level or above) on a
path toward proficiency and helps
students who are already on track
for proficiency to achieve or
maintain advanced proficiency
levels.
Typical Growth
Grade 4 (472)
Standard Error +/- 7
Overall
Grade 4
Mid 5
Grade 4
Grade 4
Number and Operations
Algebra and Algebraic
Thinking
Measurement and Data
Geometry
Domain Placement
Can Dos &
Next Steps
National Norm
52nd Percentile
Quantile Range:
650Q–750Q
Quantile Measure:
700Q
National Norm and Quantile
®
Framework for Mathematics Measure
Understanding Quantile measures
Regina Moore
Reports
QUANTILE
®
and the QUANTILE
®
Framework for Mathematics are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad.
Copyright © 2021 MetaMetrics, Inc. All rights reserved.
Diagnostic Results (Student) Report
Review the data and resources found in the Diagnostic Results (Student) report.
430
550
Typical 488
Stretch 501
Key
PDF
Number and
Operations
Placement by Domain
Grade 4
456
Can Do
Next Steps & Resources for Instruction
Read and write whole numbers through thousands
in expanded form and standard form and identify
the value of the digits.
Read and write whole numbers through hundred
millions in expanded form and standard form and
identify the value of the digits.
Compare and order numbers through hundred
millions.
Add multi-digit numbers.
Multiply a whole number by a power of 10 or a
multiple of 10.
Identify fractions that name part of a whole
(denominators of 2, 3, 4, 6, 8, 10, 12).
Standards
Standards
Standards
Standards
Standards
Standards
Compare two decimals to hundredths, including
amounts of money.
Standards
At placement levels 3–5 this domain addresses four operations with whole numbers with an emphasis on multiplication and division, as well as
understanding of and computation with decimals and fractions. Test results indicate that Anna could benefit from practicing multi-digit whole number
operations and fraction concepts.
Test results suggest that Anna would benefit from intervention focused on skills and concepts related to quantitative reasoning and representation. Instruction
that connects understanding of number relationships with computation and problem-solving skills will strengthen Anna’s math abilities across domains. This
priority places Anna in Instructional Grouping 2.
Base Ten Base Ten
– Subtract multi-digit numbers.
Subtract multi-digit numbers.
Tools for Instruction
Subtract Multi-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 3: Add and Subtract Whole Numbers
Lesson 4: Round Whole Numbers
– Multiply three-digit numbers by one-digit numbers.
Multiply three-digit numbers by one-digit numbers.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 11: Multiply Whole Numbers
– Recognize that in a multi-digit whole number, a digit in one . . .
Recognize that in a multi-digit whole number, a digit in one place
represents 10 times what it represents in the place to its right.
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
– Multiply a whole number of up to four digits by a one-digit . . .
Multiply a whole number of up to four digits by a one-digit whole number using
strategies based on place value and the properties of operations.
Tools for Instruction
Multiply by One-Digit Numbers
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 1: Understand Place Value
Fractions
– Recognize and generate equivalent fractions.
Recognize and generate equivalent fractions.
Tools for Instruction
Equivalent Fractions
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
– Decompose a fraction into a sum of fractions with like denominators.
Decompose a fraction into a sum of fractions with like denominators.
Tools for Instruction
Fractions as Sums
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 13: Understand Equivalent Fractions
Lesson 15: Understand Fraction Addition and Subtraction
– Compare two fractions with different numerators and different . . .
Compare two fractions with different numerators and different
denominators using a visual fraction model.
Tools for Instruction
Understand Comparing Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Compare two fractions with unlike denominators.
Compare two fractions with unlike denominators.
Tools for Instruction
Compare Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 14: Compare Fractions
– Add and subtract fractions with like denominators.
Add and subtract fractions with like denominators.
Tools for Instruction
Add and Subtract Mixed Numbers
Understand Fraction Addition and Subtraction
Add and Subtract Fractions
Tools for Instruction in Spanish (Grade 4)
Additional Resources
Ready Mathematics instruction or digital access to Ready through
Teacher Toolbox
Learn More
• Grade 4
Lesson 15: Understand Fraction Addition and Subtraction
Lesson 16: Add and Subtract Fractions
Lesson 17: Add and Subtract Mixed Numbers
Diagnostic 1
472
Grade 4
09/14/21
Anna Jones Grade 5
Diagnostic Results
Subject
Math
Diagnostic
Diagnostic 1 (09/14/21)
Algebra and
Algebraic Thinking
Measurement
and Data
Geometry
Mid 5
457506
Grade 4
465
Grade 4
This Diagnostic is considered the
baseline and is used to establish
Growth Measures for this student.
Diagnostic 1
On Grade Level (480–540)
Mid On Grade Level (498)
The average annual growth for a
student at this grade and
placement level on their baseline
Diagnostic.
Stretch Growth
An ambitious, but attainable, level
of annual growth that puts
students who are not yet proficient
(Mid On Grade Level or above) on a
path toward proficiency and helps
students who are already on track
for proficiency to achieve or
maintain advanced proficiency
levels.
Typical Growth
Grade 4 (472)
Standard Error +/- 7
Overall
Grade 4
Mid 5
Grade 4
Grade 4
Number and Operations
Algebra and Algebraic
Thinking
Measurement and Data
Geometry
Domain Placement
Can Dos &
Next Steps
National Norm
52nd Percentile
Quantile Range:
650Q–750Q
Quantile Measure:
700Q
National Norm and Quantile
®
Framework for Mathematics Measure
Understanding Quantile measures
Regina Moore
Reports
QUANTILE
®
and the QUANTILE
®
Framework for Mathematics are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad.
Copyright © 2021 MetaMetrics, Inc. All rights reserved.
4
Mathematics
INSTRUCTION
©Curricu lum Associates, LLC Copying is permit ted for classroom use.
Tools for Instruction
Subtract Multi-Digit Numbers I Page 1 of 2
Subtract Multi-Digit Numbers
Objective Use place-value concepts and the standard algorithm
to subtract multi-digit numbers.
This activity builds on a conceptual understanding of place value and using the algorithm to subtract numbers
through 1,000. Students work with large numbers, rst estimating and then nding the dierences by using
knowledge of place value and the standard algorithm. Using place-value concepts (expanded form) to subtract
numbers helps students develop a concrete understanding of regrouping. As they move to the standard
algorithm, regrouping becomes somewhat of a shorthand version of what they did with numbers in expanded
form. This activity especially targets minuends with zeros that require regrouping, because students often nd
this type of problem dicult. Students need to build a solid mastery of the standard algorithm for subtraction
with integers of any size in order to be able to understand how to apply the process to subtract decimals.
Step by Step 20–30 minutes
1 Provide a multi-digit subtraction problem.
• Write “4,036 2 1,329” on the board in vertical format.
• Ask the student to estimate the dierence to the nearest thousand. Guide the student to an estimate of
4000 2 1000 5 3000.
Support English Learners The word dierence is a form of the word dierent. Help students to see that
subtraction is a way of determining how numbers are dierent.
2 Use place-value concepts to subtract.
• Have the student write the expanded form of 1,329. Remind the student that each part of the expanded form
represents the value of a digit in the original number. (1,000 1 300 1 20 1 9)
• Demonstrate how to subtract 1,329 from 4,036 one place value at a time. Point out that you are starting with
the digit with the greatest value. Write out the problem on the board. As you complete each step, say:
4,036 minus 1,000 is 3,036.
3,036 minus 300 is 2,736. You may want to think,
“30hundreds minus 3 hundreds is 27 hundreds.”
2,736 minus 20 is 2,716.
2,716 minus 9 is 2,707.
4,036
2 1,000
3,036
2 300
2,736
2 20
2,716
2 9
2,707
• Have the student check the answer using partial sums. Point out that since the process is being reversed
(adding instead of subtracting), the student should start adding with the value of the digit in the ones place.
(2,7071 9 is 2,716; 2,716 1 20 5 2,736; 2,736 1 300 is 3,036; 3,036 1 1,000 is 4,036.)
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19
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