# Standards for Mathematical Practice - Iowa Core Mathematics Support - Classroom Resources

## 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

Formative Assessment Lesson "14 Legs in a Barn"

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This secton features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

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

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This secton features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

Proofs of the Pythagorean Theorem?

Ratios and Proportional Relationships

Shaded Areas of Rectangular Grids

- Shaded Areas of Rectangular Grids: Lesson Guide
- Shaded Areas of Rectangular Grids: Launch
- Shaded Areas of Rectangular Grids: Accomodation 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

The Mathematics Common Core Toolbox - A resource site designed to support districts and schools working to meet the challenge and the opportunity of the CCSS. Find tools and instructional materials to help better understand and to implement the CCSS in Mathematics.

The site is broken into the following three sections:

- Standards for Mathematical Practice - This section features Key Visualizations (animations) and Formative Assessment tools and tasks.
- Standards for Mathematical Content - This secton features Key Visualizations (animations) that support the CCSS content standards.
- Resources for Implementation - This section features Preparation for Implementation, Studying the Standards, and Sample Scope and Sequence.

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

Modeling Situations with Linear Equations

PARCC - Inches and centimeters

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

Meaningful Distributed Practice (MDP): Describing 2 and 3 D 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

Estimations and Approximations: The Money Munchers

Interpreting Distance-Time Graphs

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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)

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

Modeling Situations with Linear Equations

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

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

Formative Assessment Lesson "14 Legs in a Barn"

The site is broken into the following three sections:

Meaningful Distributed Practice (MDP): Part/Whole Relationships, Angles, Language

Meaningful Distributed Practice (MDP): Equivalent Fractions

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

The site is broken into the following three sections:

Proofs of the Pythagorean Theorem?

Shaded Areas of Rectangular Grids

- Shaded Areas of Rectangular Grids: Lesson Guide
- Shaded Areas of Rectangular Grids: Launch
- Shaded Areas of Rectangular Grids: Accomodation 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

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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

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

### Middle

The site is broken into the following three sections:

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

The site is broken into the following three sections:

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.