# Grade(s)

## On this page...

## Kindergarten

### Counting and Cardinality

EngageNY - Kindergarten Module 1: Count Numbers to 10

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

### Number and Operations in Base 10

### Measurement and Data

EngageNY - Kindergarten Module 1: Count Numbers to 10

NAEP - Kindergarten Tasks -Measurement and Data

### Geometry

Four Triangle Problem with Formative Assessment Grade K

NAEP - Kindergarten Tasks - Geometry

## Grade 1

### Number & Operations in Base 10

NAEP - Grade 1 Tasks - Number and Operations in Base 10

### Operations & Algebraic Thinking

NAEP - Grade 1 Tasks - Operations and Algebraic Thinking

### Measurement & Data

NAEP - Grade 1 Tasks - Measurement and Data

### Geometry

NAEP - Grade 1 Tasks - Geometry

## Grade 2

### Number & Operations in Base 10

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

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

### Operations & Algebraic Thinking

NAEP - Grade 2 Tasks - Operations and Algebraic Thinking

### Measurement & Data

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

NAEP - Grade 2 Tasks - Measurement and Data

### Geometry

Four Triangle Problem with Formative Assessment Grade 2

NAEP - Grade 2 Tasks - Geometry

## Grade 3

### Number & Operations in Base 10

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

### Number & Operations - Fractions

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

NAEP - Grade 3 Tasks - Number and Operations - Fractions

PARCC

### Operations & Algebraic Thinking

NAEP - Grade 3 Tasks - Operations in Algebraic Thinking

### Measurement & Data

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

NAEP - Grade 3 Tasks - Measurement and Data

Spinners at the School Carnival

### Geometry

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

NAEP - Grade 3 Tasks - Geometry

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

PARCC

## Grade 4

### Number & Operations in Base 10

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

PARCC

### Number & Operations - Fractions

Meaningful Distributed Practice (MDP): Equivalent Fractions

NAEP - Grade 4 Tasks - Number and Operations - Fractions

### Operations & Algebraic Thinking

NAEP - Grade 4 Tasks - Operations and Algebraic Thinking

PARCC

### Measurement & Data

NAEP - Grade 4 Tasks - Measurement and Data

### Geometry

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

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

NAEP - Grade 4 Tasks - Geometry

## Grade 5

### Number & Operations in Base 10

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

### Number & Operations - Fractions

Meaningful Distributed Practice (MDP): Equivalent Fractions

NAEP - Grade 4 Tasks - Number & Operations - Fractions

### Operations & Algebraic Thinking

NAEP - Grade 5 Tasks - Operations in Algebraic Thinking

### Measurement & Data

NAEP - Grade 5 Tasks - Measurement & Data

### Geometry

NAEP - Grade 5 Tasks - Geometry

## Grade 6

### Ratios & Proportional Relationships

Activity 2: Ratio Tables to the Rescue

Activity 3: Take Me Out to the Ballgame

Activity 4: Takin' Care of Business

Activity 5: Power Bars

Activity 6: Mee, Too

Activity 7: Look's Like it to Me

Activity 8 The Midas Touch

Activity 9: A New Slant on Ratio Tables

NAEP - Grade 6 Tasks - Ratios & Proportional Relationships

PARCC

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

### The Number System

NAEP - Grade 6 Tasks - The Number System

### Expressions & Equations

NAEP - Grade 6 Tasks - Expressions & Equations

PARCC

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

### Statistics & Probability

NAEP - Grade 6 Tasks - Statistics & Probability

Kindergarten Assessment Tasks: Operations and Algebraic Thinking

Kindergarten Assessment Tasks: Counting and Cardinality

### Geometry

Iowa Core Mathematics Content Shifts 6-8

NAEP - Grade 6 Tasks - Geometry

## Grade 7

### Ratios & Proportional Relationships

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

Increasing and Decreasing by Percents

NAEP - Grade 7 Tasks - Ratios & Proportional Relationships

PARCC

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

Using School Lunch to Study Proportion

### The Number System

Increasing and Decreasing by Percents

NAEP - Grade 7 Tasks - The Number System

PARCC

### Expressions & Equations

NAEP - Grade 7 Tasks - Expressions & Equations

PARCC

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

### Statistics & Probability

Exploring Geometric Probabilities with Buffon's Coin Problem

NAEP - Grade 7 Tasks - Statistics & Probability

What is the Probability of Pigging Out?

### Geometry

Estimations and Approximations: The Money Munchers

Iowa Core Mathematics Content Shifts 6-8

NAEP - Grade 7 Tasks - Geometry

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

Using Dimensions: Designing a Sports Bag

## Grade 8

### The Number System

NAEP - Grade 8 Tasks - The Number System

### Expressions & Equations

NAEP - Grade 8 Tasks - Expressions & Equations

Solving Real Life Problems: Baseball Jerseys

### Functions

Interpreting Distance-Time Graphs

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

Modeling Situations with Linear Equations

NAEP - Grade 8 Tasks - Functions

One is Like the Other- Lesson Plan

Solving Linear Equations

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

Text Messaging

### Statistics & Probability

NAEP - Grade 8 Tasks - Statistics & Probability

Scatter it

### Geometry

Iowa Core Mathematics Content Shifts 6-8

NAEP - Grade 8 Tasks - Geometry

Proofs of the Pythagorean Theorem?

## Grades 9-12

### Number & Quantity

- 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

Mathematics Vision Project- Overview

#### Quantities

Check That Digit

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

Sets, Logic, and Internet Searches

#### The Complex Number System

#### Vector and Matrix Quantities

**Algebra**

- A-SSE = Seeing Structure in Expressions
- A-APR = Building Functions
- A-CED = Creating Equations
- A-REI = Reasoning with Equations & Inequalities

NAEP - Grades 9-12 Tasks - Algebra

#### Seeing Structure in Expressions

Analyzing the Quadratic Formula

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

Five Essential Pieces

It Creeps: It Crawls: Watch Out for the Blob!

It's Elemental- Sampling from the Periodic Table

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

Population Parameters with M and Ms

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

Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes

Solving, Graphing, and Factoring Quadratics

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

The Case of the Careless Zookeeper

The United States of Obesity

Using Dice to Introduce Sampling Distributions

"What Condition Are You?"

What does the Normal Distribution Sound Like?

What is the Probability of the All-Female Zimmerman Jury?

When Harry Met Sally

Who Sends the Most Text Messages?

#### Arithmetic with Polynomials & Rational Expressions

Analyzing the Quadratic Formula

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

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

Solving, Graphing, and Factoring Quadratics: Teacher and PD Notes

Solving, Graphing, and Factoring Quadratics

#### Creating Equations

Skydiving Math

Text Messaging

#### Reasoning with Equations & Inequalities

Iowa Core Mathematics Content Shifts 9-12

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

Text Messaging Problem: An Application of Systems of Linear Equations

Text Messaging

**Functions**

- 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

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

Analyzing the Functions Recommendations in the Mathematics Iowa Core

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

Text Messaging Problem: An Application of Systems of Linear Equations

#### Building Functions

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

Analyzing the Functions Recommendations in the Mathematics Iowa Core

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

Text Messaging Problem: An Application of Systems of Linear Equations

#### Linear, Quadratic, and Exponential Model

Analyzing the Functions Recommendations in the Mathematics Iowa Core

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

Logarithms

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

PARCC

Skydiving Math

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

Logarithms

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

### Modeling

### Geometry

- 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)

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

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)

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

### 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

#### Statistics & Probability

- 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

#### Making Inferences and Justifying Conclusions

Candy Quality Control

Projects for Assessment in Gen. Ed. Statistics

#### Conditional Probability and the Rules of Probability

Permutations, Combinations, and RNA

Projects for Assessment in Gen. Ed. Statistics

Sets, Logic, and Internet Searches

### Using Probability to Make Decisions

Candy Quality Control