# Characteristic of Effective Instruction

## Contact(s)

## On this page...

## Teaching for Understanding

### Elementary

Circles

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

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

Factoring, Quadratics

- Reflections on Factoring: The Process of Factoring, Factored Form, And Prime Quadratics
- How Many Quadratic Factor?
- Mystery Quadratic
- Which Quadratics to Factor?
- Analyzing the Quadratic Formula

MDP: Describing 2 and 3D Shapes

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

### Middle

Estimations and Approximations: The Money Munchers

Increasing and Decreasing by Percents

Interpreting Distance-Time Graphs

Maximizing Area: Golden Rectangles

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

Shading Areas of Grids

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

Devising a Measure for Correlation

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

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

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

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

Permutations, Combinations, and RNA

Proof with Multiple Representaions (Fido Problem)

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

Sets, Logic, and Internet Searches

Skydiving Math

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

## Student-Centered Classrooms

### Elementary

### Middle

Estimations and Approximations: The Money Munchers

Increasing and Decreasing by Percents

Maximizing Area: Golden Rectangles

Solving Real Life Problems: Baseball Jerseys

Using Dimensions: Designing a Sports Bag

### High

Candy Quality Control

Check That Digit

Devising a Measure for Correlation

Ferris Wheel

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

Medicine Dosage

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

Proof with Multiple Representaions (Fido Problem)

Reflections on Practice: Perimeter and Area Through the Van Hiele Model

Solving Linear Equations

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

Text Messaging Problem: An Application of Systems of Linear Equations

## Teaching for Student Differences

### Elementary

### Middle

Estimations and Approximations: The Money Munchers

Increasing and Decreasing by Percents

Maximizing Area: Golden Rectangles

Solving Real Life Problems: Baseball Jerseys

Using Dimensions: Designing a Sports Bag

### 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

Solving Linear Equations

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

## Rigor and Relevance

### Elementary

### Middle

Estimations and Approximations: The Money Munchers

Increasing and Decreasing by Percents

Maximizing Area: Golden Rectangles

Reflections on Practice: Perimeter and Area Through the Van Hiele Model

Shading Areas of Grids

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

Ferris Wheel

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

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

Proof with Multiple Representaions (Fido Problem)

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

Sets, Logic, and Internet Searches

Skydiving Math

Text Messaging

Text Messaging Problem: An Application of Systems of Linear Equations

## Assessment for Learning

### Elementary

Circles

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

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

Maximizing Area: Golden Rectangles

Modeling Situations with Linear Equations

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

Ferris Wheel

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

PARCC

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

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