# Content Domain

## Contact(s)

## On this page...

## Counting & Cardinality

### Kindergarten

EngageNY - Kindergarten Module 1: Count Numbers to 10

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

## Number & Operations in Base 10

### Kindergarten

### Grade 1

NAEP - Grade 2 Tasks - Numbers & Operations in Base 10

### Grade 2

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

NAEP - Grade 2 Tasks - Numbers & Operations in Base 10

### Grade 3

NAEP - Grade 3 Tasks - Number & Operations in Base 10

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

### Grade 4

NAEP - Grade 4 Tasks - Number & Operations in Base 10

PARCC

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

### Grade 5

NAEP - Grade 5 Tasks - Number & Operations in Base 10

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

## Number & Operations - Fractions

### Grade 3

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

NAEP - Grade 3 Tasks - Number & Operations - Fractions

PARCC

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

### Grade 4

NAEP - Grade 4 Tasks - Number & Operations - Fractions

PARCC

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

### Grade 5

NAEP - Grade 5 Tasks - Number & Operations - Fractions

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

## Ratios & Proportional Relationships

### Grade 6

NAEP - Grade 6 Tasks - Ratios & Proportional Relationships

PARCC

Ratios and Proportional Relationships

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

Shading Areas of Grids

### Grade 7

Building Percent Dolls: Connecting Linear Measurement to Learning Ratio and Proportion

Increasing and Decreasing by Percents

NAEP - Grade 7 Tasks - Ratios & Proportional Relationships

PARCC

Shading Areas of Grids Lesson Guide

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

Using School Lunch to Study Proportion

## The Number System

### Grade 6

NAEP - Grade 6 Tasks - The Number System

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

### Grade 7

Increasing and Decreasing by Percents

NAEP - Grade 7 Tasks - The Number System

PARCC

### Grade 8

NAEP - Grade 8 Tasks - The Number System

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

## Number & Quantity

### Grade 9-12

- N-RN = The Real Number System
- N-Q = Quantities
- N-CN = The Complex Number System
- N-VM = Vector and Matrix Quantities

#### The Real Number System

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

#### Quantities

Check That Digit

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

Sets, Logic, and Internet Searches

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

#### The Complex Number System

#### Vector and Matrix Quantities

## Operations & Algebraic Thinking

### Kindergarten

EngageNY - Kindergarten Module 1: Count Numbers to 10

### Grade 1

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

NAEP - Grade 1 Tasks - Operations & Algebraic Thinking

### Grade 2

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

NAEP - Grade 2 Tasks - Operations & Algebraic Thinking

### Grade 3

NAEP - Grade 3 Tasks - Operations in Algebraic Thinking

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

### Grade 4

NAEP - Grade 4 Tasks - Operations & Algebraic Thinking

PARCC

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

### Grade 5

NAEP - Grade 5 Tasks - Operations in Algebraic Thinking

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

## Expressions & Equations

### Grade 6

NAEP - Grade 6 Tasks - Expressions & Equations

PARCC

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

Shading Areas of Grids

### Grade 7

NAEP - Grade 7 Tasks - Expressions & Equations

PARCC

Shading Areas of Grids Lesson Guide

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

### Grade 8

NAEP - Grade 8 Tasks - Expressions & Equations

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

Solving Real Life Problems: Baseball Jerseys

## Functions

### Grade 8

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

Medicine Dosage

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

Interpreting Distance-Time Graphs

Modeling Situations with Linear Equations

NAEP - Grade 8 Tasks - Functions

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

Solving Linear Equations

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

Text Messaging Problem: An Application of Systems of Linear Equations

### Grades 9-12

- F-IF = Interpreting Functions
- F-BF = Building Functions
- F-LE = Linear, Quadratic, and Exponential Model
- F-TF = Trigonometric Functions

NAEP - Grades 9-12 Tasks - Functions

#### Interpreting Functions

Analyzing the Functions Recommendations in the Mathematics Iowa Core

A Connected and Coherent Approach to Teaching Algebra: A Functions Approach to Teaching Algebra

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

Medicine Dosage

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

Solving Linear Equations

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

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

Text Messaging Problem: An Application of Systems of Linear Equations

Text Messaging

#### Building Functions

Analyzing the Functions Recommendations in the Mathematics Iowa Core

A Connected and Coherent Approach to Teaching Algebra: A Functions Approach to Teaching Algebra

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

PARCC

Skydiving Math

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

Text Messaging Problem: An Application of Systems of Linear Equations

Text Messaging

#### Linear, Quadratic, and Exponential Model

Analyzing the Functions Recommendations in the Mathematics Iowa Core

Logarithms

- Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
- Meaningful Distributed Practice-Concept Exponents and Logarithms
- Graphic Logs: Quake Story

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

Medicine Dosage

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

PARCC

Skydiving Math

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

Solving Linear Equations

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

Text Messaging Problem: An Application of Systems of Linear Equations

#### Trigonometric Functions

Analyzing the Functions Recommendations in the Mathematics Iowa Core

Ferris Wheel

- Riding a Ferris Wheel and Transforming Functions: Student Handout
- Riding a Ferris Wheel and Transforming Functions: Lesson Plan

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

## Algebra

### Grades 9-12

- A-SSE = Seeing Structure in Expressions
- A-APR = Arithmetic with Polynomials & Rational Expressions
- A-CED = Creating Equations
- A-REI = Reasoning with Equations & Inequalities

NAEP - Grades 9-12 Tasks - Algebra

#### Seeing Structure in Expressions

Factoring, Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes

Ferris Wheel

- Riding a Ferris Wheel and Transforming Functions: Student Handout
- Riding a Ferris Wheel and Transforming Functions: Lesson Plan

Logarithms

- Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
- Meaningful Distributed Practice-Concept Exponents and Logarithms
- Graphic Logs: Quake Story

Medicine Dosage

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

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

Solving Linear Equations

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

Text Messaging Problem: An Application of Systems of Linear Equations

#### Arithmetic with Polynomials & Rational Expressions

Factoring, Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes

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

#### Creating Equations

Factoring Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Solving, Graphing, and Factoring Quadratics
- Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes
- Analyzing the Quadratic Formula
- Factoring and Solving Quadratics: A Cluster of Related Tasks - PD Notes

Skydiving Math

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

Text Messaging

#### Reasoning with Equations & Inequalities

Reasoning with Equations & Inequalities

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

Medicine Dosage

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

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

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 Problem: An Application of Systems of Linear Equations

Text Messaging

## Measurement & Data

### Kindergarten

EngageNY - Module 1: Count Numbers to 10

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

NAEP - Kindergarten Tasks - Measurement & Data

### Grade 1

NAEP - Grade 1 Tasks - Measurement & Data

### Grade 2

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

NAEP - Grade 2 Tasks - Measurement & Data

### Grade 3

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

NAEP - Grade 3 Tasks - Measurement Data

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

### Grade 4

NAEP - Grade 4 Tasks - Measurement & Data

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

### Grade 5

NAEP - Grade 5 Tasks - Measurement & Data

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

## Statistics & Probability

### Grade 6

NAEP - Grade 6 Tasks - Statistics & Probability

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

### Grade 7

NAEP - Grade 7 Tasks - Statistics & Probability

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

### Grade 8

NAEP - Grade 8 Tasks - Statistics & Probability

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

### Grades 9-12

- S-ID = Interpreting Categorical and Quantitative Data
- S-IC = Making Inferences and Justifying Conclusions
- S-CP = Conditional Probability and the Rules of Probability
- S-MD = Using Probability to Make Decisions

NAEP - Grades 9-12 - Statistics & Probabilty

#### Interpreting Categorical and Quantitative Data

Devising a Measure for Correlation

Projects for Assessment in Gen. Ed. Statistics

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

#### Making Inferences and Justifying Conclusions

Candy Quality Control

Projects for Assessment in Gen. Ed. Statistics

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

#### Conditional Probability and the Rules of Probability

Permutations, Combinations, and RNA

Projects for Assessment in Gen. Ed. Statistics

Sets, Logic, and Internet Searches

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

#### Using Probability to Make Decisions

Candy Quality Control

## Geometry

### Kindergarten

Four Triangle Problem with Formative Assessment Grade K

NAEP - Kindergarten Tasks - Geometry

### Grade 1

NAEP - Grade 1 Tasks - Geometry

### Grade 2

NAEP - Grade 2 Tasks - Geometry

### Grade 3

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

NAEP - Grade 3 Tasks - Geometry

PARCC

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

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

### Grade 4

Circles

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

Four Triangle Problem with Formative Assessment Grade 2

MDP: Describing 2 and 3D Shapes

NAEP - Grade 4 Tasks - Geometry

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

### Grade 5

NAEP - Grade 5 Tasks - Geometry

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

### Grade 6

NAEP - Grade 6 Tasks - Geometry

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

### Grade 7

Estimations and Approximations: The Money Munchers

Maximizing Area: Golden Rectangles

NAEP - Grade 7 Tasks - Geometry

PBIT: Maginifying and Shrinking

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

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

Using Dimensions: Designing a Sports Bag

### Grade 8

NAEP - Grade 8 Tasks - Geometry

Proofs Of The Pythagorean Theorem?

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

### Grades 9-12

- G-CO = Congruence
- G-SRT = Similarity, Right Triangles, and Trigonometry
- G-C = Circles
- G-GPE = Expressing Geometric Properties with Equations
- G-GMD = Geometric Measurement and Dimension
- G-MG = Modeling with Geometry

#### Congruence

Proof with Multiple Representaions (Fido Problem)

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

Solving Geometry Problems: Floodlights

#### Similarity, Right Triangles, and Trigonometry

Proof with Multiple Representaions (Fido Problem)

- Fido Proof Problem
- Proof: Meaningful and as a Problem-Based Instructional Task
- Fido Sketch (.gsp file)

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

Solving Geometry Problems: Floodlights

#### Circles

Proof with Multiple Representaions (Fido Problem)

- Fido Proof Problem
- Proof: Meaningful and as a Problem-Based Instructional Task
- Fido Sketch (.gsp file)

#### Expressing Geometric Properties with Equations

#### Geometric Measurement and Dimension

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

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

#### Modeling with Geometry

Reflections on Practice: Perimeter and Area Through the Van Hiele Model - (document available to NCTM members only)

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

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