# Standards for Mathematical Practice

## Contact(s)

## On this page...

## 1. Make sense of problems and persevere in solving them.

### Elementary

EngageNY - Grade 2 Module 1: Sums and Differences to 20

PARCC

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Estimations and Approximations: The Money Munchers

Maximizing Area: Golden Rectangles

PBIT: Maginifying and Shrinking

Proofs Of The Pythagorean Theorem?

Ratios and Proportional Relationships

Shading Areas of Grids

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Solving Linear Equations - Multiple Methods and Representations

Solving Real Life Problems: Baseball Jerseys

Text Messaging

Using Dimensions: Designing a Sports Bag

### High

Candy Quality Control

Check That Digit

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Permutations, Combinations, and RNA

Projects for Assessment in Gen. Ed. Statistics

Proof with Multiple Representaions (Fido Problem)

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Riding a Ferris Wheel and Transforming Functions: Student Handout

Sets, Logic, and Internet Searches

Skydiving Math

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Solving Geometry Problems: Floodlights

Solving Linear Equations

- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Versions

Solving Linear Equations - Multiple Methods and Representations

Text Messaging

Text Messaging Problem: An Application of Systems of Linear Equations

## 2. Reason abstractly and quantitatively.

### Elementary

EngageNY - Kindergarten Module 1: Count Numbers to 10

EngageNY - Kindergarten Module 5: Numbers 10-20; Count to 100 by Ones and Tens

EngageNY - Grade 1 Module 1: Sums and Differences to 10

EngageNY - Grade 2 Module 1: Sums and Differences to 20

EngageNY - Grade 2 Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

EngageNY - Grade 3 Module 5: Fractions as Numbers on the Number Line

PARCC

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Estimations and Approximations: The Money Munchers

Increasing and Decreasing by Percents

Interpreting Distance-Time Graphs

Modeling Situations with Linear Equations

PARCC - Inches and centimeters

PBIT: Maginifying and Shrinking

Proofs Of The Pythagorean Theorem?

Ratios and Proportional Relationships

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Text Messaging

### High

Devising a Measure for Correlation

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

NCSM Great Tasks for Mathematics: Bugs, Giraffes, Elephants and More

Permutations, Combinations, and RNA

Projects for Assessment in Gen. Ed. Statistics

Proof with Multiple Representaions (Fido Problem)

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Riding a Ferris Wheel and Transforming Functions: Student Handout

Sets, Logic, and Internet Searches

Skydiving Math

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Solving Geometry Problems: Floodlights

Text Messaging

## 3. Construct viable arguments and critique the reasoning of others.

### Elementary

EngageNY - Kindergarten Module 1: Count Numbers to 10

EngageNY - Kindergarten Module 5: Numbers 10-20; Count to 100 by Ones and Tens

EngageNY - Grade 2 Module 1: Sums and Differences to 20

EngageNY - Grade 2 Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

EngageNY - Grade 3 Module 5: Fractions as Numbers on the Number Line

Estimations and Approximations: The Money Munchers

MDP: Describing 2 and 3D Shapes

PARCC

- Fractions on the number line (Grade 3)
- Mariana's fractions (Grade 3)
- Numbers of stadium seats (Grade 4)

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Devising a Measure for Correlation

Estimations and Approximations: The Money Munchers

Interpreting Distance-Time Graphs

Maximizing Area: Golden Rectangles

Proofs Of The Pythagorean Theorem?

Ratios and Proportional Relationships

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Solving Real Life Problems: Baseball Jerseys

Using Dimensions: Designing a Sports Bag

### High

Devising a Measure for Correlation

Medicine Dosage

- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Proof with Multiple Representaions (Fido Problem)

Ratios and Proportional Relationships

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Text Messaging Problem: An Application of Systems of Linear Equations

## 4. Model with mathematics.

### Elementary

EngageNY - Kindergarten Module 1: Count Numbers to 10

EngageNY - Kindergarten Module 5: Numbers 10-20; Count to 100 by Ones and Tens

PARCC

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Devising a Measure for Correlation

Estimations and Approximations: The Money Munchers

Maximizing Area: Golden Rectangles

Modeling Situations with Linear Equations

PBIT: Maginifying and Shrinking

Permutations, Combinations, and RNA

Proofs Of The Pythagorean Theorem?

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Solving Real Life Problems: Baseball Jerseys

Text Messaging

Using Dimensions: Designing a Sports Bag

### High

Candy Quality Control

Check That Digit

Devising a Measure for Correlation

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Projects for Assessment in Gen. Ed. Statistics

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Riding a Ferris Wheel and Transforming Functions: Student Handout

Sets, Logic, and Internet Searches

Skydiving Math

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Solving Geometry Problems: Floodlights

Text Messaging

Text Messaging Problem: An Application of Systems of Linear Equations

## 5. Use appropriate tools strategically.

### Elementary

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

PBIT: Maginifying and Shrinking

Proofs Of The Pythagorean Theorem?

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Solving Linear Equations - Multiple Methods and Representations

Text Messaging

### High

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Projects for Assessment in Gen. Ed. Statistics

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Solving Geometry Problems: Floodlights

Solving Linear Equations

- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Versions

Solving Linear Equations - Multiple Methods and Representations

Text Messaging

## 6. Attend to precision.

### Elementary

EngageNY - Grade 1 Module 1: Sums and Differences to 10

EngageNY - Grade 2 Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

EngageNY - Grade 3 Module 5: Fractions as Numbers on the Number Line

PARCC

- Fractions on the number line (Grade 3)
- Mariana's fractions (Grade 3)
- Numbers of stadium seats (Grade 4)

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Estimations and Approximations: The Money Munchers

Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear Systems

Proofs Of The Pythagorean Theorem?

Ratios and Proportional Relationships

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

Using Dimensions: Designing a Sports Bag

### High

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Projects for Assessment in Gen. Ed. Statistics

Proof with Multiple Representaions (Fido Problem)

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Skydiving Math

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

## 7. Look for and make use of structure.

### Elementary

Circles

- Circle for MDP: Part/Whole Relationships, Angles, Language
- Circle for MDP: Part/Whole Relationships, Angles, Language

EngageNY - Kindergarten Module 1: Count Numbers to 10

EngageNY - Kindergarten Module 5: Numbers 10-20; Count to 100 by Ones and Tens

EngageNY - Grade 1 Module 1: Sums and Differences to 10

EngageNY - Grade 2 Module 1: Sums and Differences to 20

EngageNY - Grade 2 Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

EngageNY - Grade 3 Module 5: Fractions as Numbers on the Number Line

PARCC

SBAC - Grade 3 Sample Items - Sample items begin on page 4.

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Increasing and Decreasing by Percents

Proofs Of The Pythagorean Theorem?

Shading Areas of Grids

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

### High

Factoring Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- Which Quadratics to Factor?

Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice

Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

Riding a Ferris Wheel and Transforming Functions: Student Handout

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.

Solving Geometry Problems: Floodlights

## 8. Look for and express regularity in repeated reasoning.

### Elementary

EngageNY - Kindergarten Module 1: Count Numbers to 10

EngageNY - Grade 1 Module 1: Sums and Differences to 10

EngageNY - Grade 2 Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

SBAC - Grade 4 Sample Items - Sample items begin on page 4.

SBAC - Grade 5 Sample Items - Sample items begins on page 4.

### Middle

Proofs Of The Pythagorean Theorem?

SBAC - Grade 6 Sample Items - Sample items begin on page 4.

SBAC - Grade 7 Sample Items - Sample items begin on page 4.

SBAC - Grade 8 Sample Items - Sample items begin on page 4.

### High

Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice

Medicine Dosage

- Medicine Dosage Task
- Medicine Dosage Task Spreadsheet Showing Different Recursive Models
- Explanation of Two Recursive Models for Medicine Dosage Task

Resources for Teaching the Iowa Core Additional Standards in High School Mathematics

SBAC - Grade 9-12 Sample Items - Sample items begin on page 4.