# Investigations in Numbers, Data and Space Alignments

Exemplars has aligned its Differentiated Best of Math CD-ROMs as well as Math Volume 9 for grades K-5 with Investigations in Numbers, Data and Space.

Investigations Unit Math Concepts Exemplars Tasks/Location
Mathematical Thinking in Kindergarten
• Establishing 1:1 correspondence
• Exploring attributes of concrete materials
• Counting a set of objects
• Creating a set of a given size
• Recording numerical information
• Developing a sense of time
• Connecting number names, numerals, and quantities
• Collecting and exploring data
CDI
Betty's Blocks, Field Trip, Marsupials, Paleontologist

CDII
New Necklace, Let's Play, Finicky Cat, Buttons for Snowmen, Riding at the Playground

CDIII
Boots and Hats, Apples and Bananas

Volume 9
Boots and Hats

Volume 10
Apples and Bananas, Baby Ducks

Pre K-K Math Series
All in a Row, Red and Blue Blocks, Beautiful Bows, Beads on a Stick, Coming to the Park, Playing on the Playground, Counting Cars, Counting Books, A Flower Pattern, A Crayon Pattern, Making Cards, Finding Friends
Pattern Trains and Hopscotch Paths
• Recognizing, describing, representing a pattern
• Creating, extending, recording patterns
• Predicting what comes next
• Comparing patterns
• Determining a rule for how a patterns grows
CDI
Flags, Ten Feet Apartment Building

CDII
New Necklace, Farmer, Petal Power, Let's Play, Lynn's Ladder, Eating Jellybeans

CDIII
Eating Apples

Volume 9
Drawing Apples, Pennies in a Bag

Volume 10
Eating Apples, Hopping Henry, Birds in the Spring, Peg's Purple Pebbles

Pre K-K Math Series
All in a Row, Red and Blue Blocks, Beautiful Bows, Beads on a Stick, A Flower Pattern
Collecting, Counting, and Measuring
• Recognizing number and numeral names
• Connecting numerals to quantities
• Creating & counting sets of objects
• Representing quantities
• Keeping track and recording quantities
• Developing and using language to describe, compare, and order amounts
• Measuring by direct comparison
• Finding totals of two single-digit numbers
• Solving a problem with many possible solutions
CDI
Bug Watching, Frog and Toad, Someone's Been Eating My Porridge, How Big is A Foot, Snail Trails

CDII
Calendar Problem 1, Lining Up, Wonderful Leaves, Eating Jellybeans, Flies and Frogs

CDIII
Socks for Everyone, Apples and Bananas, Dinosaur Models, How Many Apples

Volume 9
Socks for Everyone

Volume 10
Apples and Bananas, Dinosaur Models, Books, Books, Books, How Many Apples?

Pre K-K Math Series
Apples, Pennies in a Bowl, Balloons, Playing with Toy Cars, Coming to the Park, Playing on the Playground, Counting Cars, Counting Books, Finding White Rocks, Finding Pinecones, Making Cards, Finding Friends, Oranges in a Bowl, Carrot Sticks on a Plate, Pepperoni Pizza, Sticking Stars on a Car, Pumpkins on a Table, Cups on a Table, Turtledove Feet, Two Pigeons
Counting Ourselves and Others
• Developing, using strategies for counting
• Relating counting to the quantity of items
• Using 1:1 correspondence
• Exploring 2:1 correspondence
• Representing data in a variety of ways
• Sorting objects by attributes
• Collecting, recording and representing data
• Sorting and organizing data in more that one way
• Discussing information in a data representation
• Composing survey questions
• Gathering and recording survey data
• Making sense of data representation
• Describing categories for a sort
• Solving a problem based on the data
• Building a model to explain a problem solving strategy
CDI
Worms, Typical Objects, Space Creatures, Valentine M&M® Problems,

CDII
Sharing Sleds, Betty's Blocks, Finicky Cat, Ice Cream

CDIII
Number Blocks

Volume 9
Pennies for Patty

Volume 10
Hopping Henry, Number Blocks, Baby Ducks

Pre K-K Math Series
Apples, Pennies in a Bowl, Balloons, Playing with Toy Cars, Coming to the Park, Playing on the Playground, Counting Cars, Counting Books, Finding White Rocks, Finding Pinecones, Making Cards, Finding Friends, Oranges in a Bowl, Carrot Sticks on a Plate, Pepperoni Pizza, Sticking Stars on a Car, Playing with Dinosaurs, Crackers on a Plate, Pumpkins on a Table, Cups on a Table, Rub-a-Dub-Dub, Jack and Jill, Snack Time, Mini Muffins for Snack, Sharing Apples, Sharing Red Paper, Turtledove Feet, Two Pigeons
Making Shapes and Building Blocks
• Recognizing shapes in the environment
• Observing and describing 2-D and 3-D figures
• Developing vocabulary to describe 2-D and 3-D figures
• Becoming familiar with names of 2-D and 3-D figures
• Relating 2-D and 3-D figures to real world objects
• Relating a d-D object to a 2-D shape
• Visualizing how to move a shape so that it is oriented correctly to fit into a design
• Finding combinations of shapes that fill an area
• Building knowledge about the relationships among pattern block shapes
• Looking at 3-D objects as whole and as having parts
CDI
Paleontologist, Sink or Float, Geometry, Pieces of Pizza, Bowls of Apples

CDII
A Shower of Shapes

CDIII
Shapes on the Playground

Volume 9
Shapes on the Playground

Pre K-K Math Series
Justin's Placemat, Pattern-Block Shapes and a Paper, A New Shape, Helping Ken, Paper Snowman, A Paper Car
How Many in All?
• Counting up to 20 objects
• Representing quantities
• Repeating a nonstandard measure to quantify length
• Combinations of 5,6, and more
• Developing Strategies
• Recording Strategies
• Comparing amounts
• Finding totals of single-digit numbers
CDI
Octopus, Clay Pots, Marsupials, Pig Pens, Birthday Gift Shopping, Betty's Blocks, License Plates,

CDII
Farmer Brown, Riding at the Playground, Legs, Nine Cents

CDIII
Socks for Everyone, Crackers, Eathing Apples, Dinosaur Models, Car Wash, How Many Apples, Picking Up Shapes

Volume 9
Socks for Everyone

Volume 10
Crackers, Eating Apples, Dinosaur Models, Lots of Reading, Car Wash, The Ball cart, Books, Books, Books, How Many Apples?, Picking Up Shapes

Pre K-K Math Series
Apples, Pennies in a Bowl, Balloons, Playing with Toy Cars, Coming to the Park, Playing on the Playground, Counting Cars, Counting Books, Finding White Rocks, Finding Pinecones, Oranges in a Bowl, Carrot Sticks on a Plate, Pepperoni Pizza, Sticking Stars on a Car, Playing with Dinosaurs, Crackers on a Plate, Pumpkins on a Table, Cups on a Table, Rub-a-Dub-Dub, Jack and Jill, Sharing Apples, Sharing Red Paper, Snack Time, Mini Muffins for a Snack, Turtledove Feet, Two Pigeons