## Lessons By National Council of Teachers of Mathematics Standards (NCTM)

### NCTM Numbers and Operations

**N1**: *Understand numbers, ways of representing numbers, relationships among numbers, and number systems*

- A Cat Quandary
- Apple-Counting Fun
- Apples and Oranges
- Cereal Sorting
- Chrysanthemum
- Circles and Bears
- Coin-Rubbing Matching Game
- Counting Dice Roll
- Dinosaur Hop
- Dots of Fun
- Dynamic Dominoes
- Estimation Destination
- Fill the Carton
- Fractionpillar
- Grab Bag Fun
- Hot Cocoa Math
- How Many Beads?
- Hungry Alligator
- Jack and the Beanstalk
- Jump in the River
- Jumping Jacks
- LEGO Math
- Noodle Cadoodle Counting
- Number Memory
- Number Sequence Puzzle
- Number Yard
- Odd or Even
- One Duck Stuck
- One Fish, Red Fish
- Ordinal Number Sort with the Hungry Caterpillar
- Painted Rock
- Picture Pie Fractions
- Pinch a Penny
- Quack and Count
- Remainder of One
- Sandwich Shop Game
- Show Me Your Shoe
- Soft Patterning Fun
- Take a Trip With Rooster
- Tally It Up
- Ten, Nine, Eight
- The Tiny Seed
- Tod und Leben (Life and Death)
- Uno
- Vehicle Patterning
- What Comes in Twos, Threes and Fours?
- What’s in a Name?
- Yummy Cookie Fun

**N2**: *Understand meanings of operations and how they relate to one another*

- A Cat Quandary
- Apples and Oranges
- Dots of Fun
- Fractionpillar
- Groovy Buttons
- Jump in the River
- LEGO Math
- Monkey Mania
- Mouse Count
- One Duck Stuck
- Picture Pie Fractions
- Pinch a Penny
- Quack and Count
- Remainder of One
- Sandwich Shop Game
- Subtraction Bowling
- Take a Trip With Rooster
- Tod und Leben (Life and Death)
- Uno
- What Comes in Twos, Threes and Fours?
- Yahtzee

### NCTM Algebra

**A1**: *Understand patterns, relations, and functions*

- Beaded Necklaces
- Cereal Sorting
- Coin-Rubbing Matching Game
- Dinosaur Hop
- Dynamic Dominoes
- Eating Up Patterns
- Fill the Carton
- How Many Beads?
- Hungry Alligator
- Inch by Inch
- Jack and the Beanstalk
- Jump in the River
- Knives, Forks and Spoons, Oh My!
- Laundry Sorting
- Measuring Straws
- Number Memory
- Number Sequence Puzzle
- Number Yard
- Odd or Even
- One Duck Stuck
- One Fish, Red Fish
- Painted Rock
- Patterns in Sounds and Shapes
- Planes, Trains and Automobiles
- Quack and Count
- Remainder of One
- Sandwich Shop Game
- Tally It Up
- Ten, Nine, Eight
- The Tiny Seed
- Tod und Leben (Life and Death)
- Uno
- Vehicle Patterning
- What Comes in Twos, Threes and Fours?
- What’s in a Name?
- Which is Tallest?
- Who’s Hiding?
- Wonderful Worms

**A2**: *Represent and analyze mathematical situations and structures using algebraic symbols*

**A3**: *Use mathematical models to represent and understand quantitative relationships*

**A4**: *Analyze change in various contexts*

### NCTM Geometry

**G1**: *Analyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationships*

**G2**: *Specify locations and describe spatial relationships using coordinate geometry and other representational systems*

**G3**: *Apply transformations and use symmetry to analyze mathematical situations*

**G4**: *Use visualization, spatial reasoning, and geometric modeling to solve problems
*

### NCTM Measurement

**M1**: *Understand measurable attributes of objects and the units, systems, and processes of measurement*

- At What Time?
- Bears in a Bucket
- Chrysanthemum
- Estimation Destination
- Flower Fun
- Guess the Weight Scavenger Hunt
- Horizontal, Vertical, Diagonal
- How Big is a Foot?
- How Many Legos Tall?
- Inch by Inch
- Jack and the Beanstalk
- Jumping Jacks
- Laundry Sorting
- Links and Length
- Measuring Straws
- Over Under Through
- Run, Walk, Crawl
- Show Me Your Shoe
- Telling Time
- Trucks and Blocks
- Take a Walk with Rosie
- What’s in a Name?
- Who Sank the Boat?
- Wonderful Worms

**M2**: *Apply appropriate techniques, tools, and formulas to determine measurements*

- At What Time?
- Estimation Destination
- Flower Fun
- Guess the Weight Scavenger Hunt
- Horizontal, Vertical, Diagonal
- How Big is a Foot?
- How Many Legos Tall?
- Inch by Inch
- Jumping Jacks
- Links and Length
- Measuring Straws
- Over Under Through
- Run, Walk, Crawl
- Telling Time
- The Tiny Seed
- Trucks and Blocks
- Take a Walk with Rosie
- Which is Tallest?
- Who Sank the Boat?
- Wonderful Worms

### NCTM Data Analysis and Probability

**D1**: *Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them*

- Circles and Bears
- Coin-Rubbing Matching Game
- Dinosaur Hop
- Estimation Destination
- Float, Fly, Drive
- Guess the Weight Scavenger Hunt
- Heads or Tails?
- Hot Cocoa Math
- How Big is a Foot?
- How Many Legos Tall?
- Jumping Jacks
- Laundry Sorting
- Planes, Trains and Automobiles
- Probability Jar
- Sandwich Shop Game
- Shoe Sort
- What’s in a Name?
- Who’s Hiding?

**D2**: *Select and use appropriate statistical methods to analyze data*

**D3**: *Develop and evaluate inferences and predictions that are based on data*

**D4**: *Understand and apply the basic concepts of probability*