Standards-based assessment and Instruction

# Investigations

Pearson Education, Inc. - Second Edition, Copyright 2008

To access alignments for Investigations in Numbers, Data and Space, please choose from the grade levels below:

## Investigations in Number, Data and Space Kindergarten

Investigations Unit Math Concepts Exemplars Tasks/Location
1. Who is in School Today?
• Developing strategies for accurately counting a set of objects by 1's
• Sorting and classifying
• Carrying out a data investigation
• Using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Betty's Blocks, Field Trip, Marsupials, Paleontologist, Typical Objects, Paleontologist

CDII
New Necklace, Let's Play, Finicky Cat, Buttons for Snowmen, Riding at the Playground, Sharing Sleds, Betty's Blocks, Finicky Cat, Ice Cream, A Shower of Shapes

CDIII
Apples and Bananas, Boots and Hats, Collecting Seashells, Counting Corners, Socks for Everyone
2. Counting and Comparing
• exploring numbers through a variety of counting activities
• building knowledge of the counting sequence
• using numerals to represent quantities
• developing skills for accurate counting
• comparing quantities
• measuring and comparing the lengths of objects using direct comparison
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
Apples and Bananas, Dinosaur Models, Number Blocks, Counting Corners, Measuring a Tulip, Picking Up Shapes
3. What Comes Next?
• sorting and classifying data
• constructing, describing, and extending repeating patterns
• identifying the unit of a repeating pattern
CDI
Bug Watching, Eggsactly, Field Trip, Flags, Hats and Scarves, In Line, Marsupials, Paleontologist, Pig Pens, Snow Play, Stacking Caps, Ten Feet Apartment, Typical Objects, Space Creatures, Valentine M&M® Problems

CDII
Calendar Problem, Eating Jelly Beans, Let's Play, Lining Up, Lynns Ladder, A New Necklace, Flies and a Frog, Sharing Sleds, Betty's Blocks, Finicky Cat, Ice Cream

CDIII
Applies and Bananas, Eating Apples, Keeping the Park Clean, Measuring a Tulip, PattyÕs Pennies, Shapes on the Playground, Keeping the Park Clean
4. Measuring and Counting
• understanding length and using linear units
• developing strategies for accurately counting a set of objects by ones
• making sense of and developing strategies to solve addition and subtraction problems with small numbers
• developing an understanding of the magnitude and position of numbers
• using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Ten Feet Apartment, Octopus, Owl Eyes, Hot Chocolate, Number Cube Game, In Line, Bowls of Apples, How Big is a Foot? Sink or Float, Snail Trails, Wonderful Leaves,

CDII
Buttons for Snowmen, Lining Up, Legs, Nine Cents, Someone's Been Eating My Porridge

CDIII
Measuring a Tulip, Collecting Seashells, Crackers, Dinosaur Models, How Many Apples? New Stones for Jim, Picking Up Shapes, Socks for Everyone
5. Make a Shape, Build a Block
• describing, identifying, comparing, and sorting 2-D and 3-D shapes
CDI
Geometry, Paleontologist, Pentomino Problem, Pig Pens, Seats and Tables, Typical Objects

CDII
Someone's Been Eating My Porridge, Time for Math, A New Necklace

CDIII
Picking Up Shapes, Shapes on the Playground
6. How Many Do You Have?
• developing strategies for accurately counting a set of objects by ones
• making sense of and developing strategies to solve addition and subtracting problems with small numbers
• using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Ten Feet Apartment, Octopus, Owl Eyes, Hot Chocolate, Number Cube Game, In Line, Bowls of Apples

CDII
Buttons for Snowmen, Lining Up, Legs, Nine Cents, Someone's Been Eating My Porridge, Holiday Fair Shopping

CDIII
Collecting Seashells, Crackers, Dinosaur Models, How Many Apples? New Stones for Jim, Picking Up Shapes, Socks for Everyone
7. Sorting and Surveys
• developing strategies for accurately counting a set of objects by ones
• representing data
• sorting and classifying
• carrying out a data investigation
CDI
Average Number of Letters, Easter Baskets, Field Trip, Number Cube Game, Sink or Float, Space Creatures, Typical Objects, Snow Play, Chip Chance, Fishing

CDII
Finicky Cat, Ice Cream, Perplexing Palindrome Problem, Staying Warm

CDIII
Apples and Bananas, Boots and Hats, Collecting Seashells, Counting Corners, Socks for Everyone

## Investigations in Number, Data and Space First Grade

Investigations Unit Math Concepts Exemplars Tasks/Location
1. How Many of Each?
• Developing strategies for accurately counting a set of objects by 1's
• Developing an understanding of the magnitude and position of numbers
• Composing number up to 10 with 2 addends
• Making sense of and developing strategies to solve addition problems with small numbers
• Using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Ten Feet Apartment, Octopus, Owl Eyes, Hot Chocolate, Number Cube Game, In Line, Bowls of Apples

CDII
Buttons for Snowmen, Lining Up, Legs, Nine Cents, Someone's Been Eating My Porridge, Holiday Fair Shopping

CDIII
Boots and Hats, Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Dinosaur Models, Eating Apples, How Many Apples, New Stones for Jim, Picking Up Shapes, Socks for Everyone
2. Making Shapes and Designing Quilts
• Describing, identifying, sorting, and comparing 2-D shapes
• Composing and decomposing 2-D shapes
CDI
Geometry, Paleontologist, Pentomino Problem, Pig Pens, Seats and Tables, Typical Objects

CDII
Someone's Been Eating My Porridge, Time for Math

CDIII
Counting Corners, Kitty Corner, A Pen for Pattycake, Picking Up Shapes, Shapes on the Playground
3. Solving Story Problems
• Composing numbers up to 15 with two or more addends
• Making sense of and developing strategies to solve addition and subtraction problems with small numbers
• Representing numbers by using equivalent expressions
• Developing strategies for accurately counting a set of objects by 1's
• Using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Clay Pots, Stacking Caps, License Plates, Snow Play, Field Trip, Average Number of Letters, Pig Pens, Ten Feet Apartment, Hats and Scarves, Canoe Trip, Coins

CDII
Mary Quite Contrary, Farmer Brown, Flies and Frogs, Lining Up, Sweet Sale, Legs

CDIII
Boots and Hats, Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Dinosaur Models, Eating Apples, New Stones for Jim, Number Blocks, Picking Up Shapes, Socks for Everyone
4. What Would You Rather Be?
• sorting and classifying data
• representing data
• describing data
• designing and carrying out a data investigation
CDI
Easter Baskets, Field Trip, Number Cube Game, Sink or Float, Space Creatures, Typical Objects, Valentine M&M(r) Problem, Worms, Chip Chance, Fishing

CDII
Finicky Cat, Ice Cream, Perplexing Palindrome Problem, Staying Warm

CDIII
Bag of Beads, A New Lock, Collecting Seashells, Dinosaur Models, Picking Up Shapes, Silent Reading Time
5. Fish Lengths and Animal Jumps
• understanding what length is
• using linear units
• measuring with standard units
• describing measurements between whole numbers of units
CDI
How Big is a Foot? Marshmallow Peeps all in a Row, Fencing, Sink or Float, Snail Trails, Wonderful Leaves, Wrist Circumference

CDII
Betty's Blocks, Dandelion Dilemma!

CDIII
Feeding Fred, On Time, Measuring a Tulip
6. Number Games and Crayon Puzzles
• composing numbers up to 20 with 2 or more addends
• making sense of and developing strategies to solve addition and subtraction problems with small numbers
• using manipulatives, drawings, tools, and notation to show strategies and solutions
CDI
Average Number of Letters, 100th Birthday Celebration, Bug Watching, Coin Combinations, Finicky Cat, Ice Cream, License Plates, Valentine's Day Party Plan, Witches Transportation , Darts, Pogs

CDII
Farmer Brown, Legs, Mary Quite Contrary, Flies and Frogs, Lining Up, Sweet Sale, Legs

CDIII
Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Eating Apples, Keeping the Park Clean, Number Blocks
7. Color, Shape and Number Patterns
• constructing, describing, and extending repeating patterns
• identifying the unit of a repeating pattern
• constructing, describing, and extending number sequences with constant increments generated by various contexts
CDI
Bug Watching, Eggsactly, Field Trip, Flags, Hats and Scarves, In Line, Marsupials, Paleontologist, Pig Pens, Snow Play, Stacking Caps, Ten Feet Apartment

CDII
Betty's Blocks, Calendar Problem, Eating Jelly Beans, Ice Cream, Let's Play, Lining Up, Lynns Ladder, A New Necklace, Sharing Sleds, Flies and a Frog

CDIII
Apples and Bananas, Eating Apples, Keeping the Park Clean, Measuring a Tulip, Oranges for Snacks, Patty's Pennies, Shapes on the Playground
8. Twos, Fives and Tens
• developing strategies for accurately counting a set of objects by 1's and by groups
• using manipulatives, drawings, tools, and notation to show strategies and solutions
• knowing addition combinations of 10
CDI
Birthday Gift Shopping, Muffins, Whoo is Hunting? Stacking Caps, License Plates, Six-Pack of Soda, Snow Play, Field Trip, Average Number of Letters, Pig Pens, Frog and Toad, Pogs

CDII
Mary Quite Contrary, Flies and Frogs, Lining Up, Sweet Sale, Legs

CDIII
Boots and Hats, Collecting Seashells, Counting Corners, Socks for Everyone
9. Blocks and Boxes
• describing and comparing 2-D and 3-D shapes
• exploring the relationships between 2-D and 3-D shapes
CDI
Paleontologist, Pentomino Problem, Seats and Tables, Geometry, Making a Necklace, Fencing

CDII
Shower of Shapes, Happy Birthday Abby

CDIII
Counting Corners, Kitty Corner, A Pen for Pattycake, Picking Up Shapes, Shapes on the Playground

## Investigations in Number, Data and Space Second Grade

Investigations Unit Math Concepts Exemplars Tasks/Location
1. Counting, Coins, and Combinations
• explore materials; describe, sort based on attributes; count sets of objects, write number expressions
• keep track of school days, write equations; make combinations of 10; identify uses of numbers
• explore, describe 2-D geometric shapes; explore, sort, and describe 3-D shapes; find different shapes for area; find and record several solutions to a problem
• count objects; count by 2's, 5's, 10's; compare sets; add two digit numbers; identify coins and values; combine coins to make 25 and 50
• sort and classify information, collect, record, and represent data; count and compare amounts; count groups of objects in more than one way; talk and write about problem-solving strategies
CDI
Muffins, Piggy Bank, Paleontologist, Ten Feet Apartment, Frog and Toad, Canoe Trip, Darts, Six-Pack of Soda, Birthday Gift Shopping, Coin Combinations, Coins, Stacking Caps, Another Domino Dilemma, Bug Watching

CDII
Chaperones, Dandelion Dilemma, Flies and Frogs, Let's Play, Mary Quite Contrary How Does Your Garden Grow? Nine Cents Seedlings to Timber, Someone's Been Eating My Porridge! Sweet Sale

CDIII
Boots and Hats, Candy Shop Treats, Collecting Seashells, Counting Corners, Crackers, Dinosaur Models, Eating Apples, How Many Apples, Keeping the Park Clean, Picking Up Shapes, Socks for Everyone
2. Shapes, Blocks, and Symmetry
• develop familiarity with 10, work with combinations of 10 and doubles; develop strategies for adding two or more numbers
• explore patterns, develop fluency in skip counting 2s, 5s, 10s; explore recording large groups; become familiar with coin equivalencies; use money as model for 5s and 10s
• become familiar with structure of 100; use 100 chart; use familiar add combinations to find totals; develop add/sub strategies
CDI
Geometry, Paleontologist, Pentomino Problem, Seats and Tables

CDII
Happy Birthday, Abby, Hatching Chicks, Renting Craft Space, A Shower of Shapes, Time for Math

CDIII
Counting Corners, Kitty Corner, A Pen for Pattycake, Picking Up Shapes, Shapes on the Playground
3. Stickers, Number Strings, and Story Problems
• Examine similarities, differences in data; clarify categories; sort, classify information; collect, record, represent data; use Venn diagrams
• Use characteristics of data, articulate logic, construct categories for data; invent representation of data; use more than one representation to view data
• Work on constructing categories to describe data; organize categorical data
• Collect, record survey data; compare data sets; make presentation graphs; report on data analysis
CDI
Average Number of Letters, 100th Birthday Celebration, Darts, License Plates, Valentine's Day Party Plan, Witches Transportation

CDII
Dandelion Dilemma, Holiday Fair Shopping Spree, Farmer Brown, Legs, Let's Plan a Party

CDIII
Boots and Hats, Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Eating Apples, Keeping the Park Clean, Number Blocks, Socks for Everyone
4. Pockets, Teeth and Favorite Things
• sort, describe, identify shapes by attributes; compose/decompose 2/3 D shapes; describe spatial relationships
• identify triangles/rectangles based on number of sides/corners; visualize, construct, draw arrays; use numbers to compare arrays
• work with arrays and geometric solids to investigate fractional parts; design, construct rectangular regions that are divided into halves, thirds, or fourths
CDI
Chip Chance, Easter Baskets, Field Trip, Number Cube Game, Sink or Float, Space Creatures, Stacking Caps, Typical Objects, Valentine M&M® Problem

CDII
Finicky Cat, Ice Cream, Perplexing Palindrome Problem

CDIII
Bag of Beads, A New Lock, Collecting Seashells, Dinosaur Models, Number Blocks, Picking Up Shapes, Silent Reading Time
5. How Many Floors? How Many Rooms?
• Develop models of add/sub; solve problems using numerical reasoning; record strategies; use horizontal and vertical notation for add/subtraction
• Become familiar with structure and patterns of numbers from 1-100; use coins as model for add/sub multiples of 5, 10; use 100 chart; compare numbers to 100
• Develop ways to approach different add/sub problems; recognize, solve variety problem structures; compare solution strategies; create situations for equations
• Work with 100, combinations up to 100; add string of numbers; write story for addition equation
• Develop strategies for comparing; calculate distance between two numbers using 100 chart; develop ways to approach, recognize, solve variety of problem structures
CDI
Bug Watching, Clay Pots, Coin Combinations, Coins, Darts, Fishing, In Line, Mr. Frye's Lambs, Muffins, Seedlings to Timber, Snail Trails, Snow Play, Whoo is Hunting

CDII
Betty's Blocks, Buttons for Snowmen, Chaperones, Eating Jellybeans, Farmer Brown, Flies and Frogs, Ice Cream, Let's Play, Lining Up, Lynn's Ladder, Mary Quite Contrary, Petal Power, Staying Warm

CDIII
Apples and Bananas, Eating Apples, Keeping the Park Clean, Measuring a Tulip, Oranges for Snacks, Patty's Pennies, Shapes on the Playground
6. How Many Tens? How Many Ones?
• use direct, indirect comparison to compare lengths; construct a nonstandard unit to measure length; compare effects of measurement using different size units; communicate need for using standard units
• focus on moving on a path; visualize, represent path; determine path length by iterating; compare lengths of path
CDI
Average Number of Letters, 100th Birthday Celebration, Bug Watching, Coin Combinations, License Plates, Valentine's Day Party Plan, Witches Transportation

CDII
Dandelion Dilemma, Holiday Fair Shopping Spree, Farmer Brown, Legs, Let's Plan a Party

CDIII
Baking Brownies, Boots and Hats, Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Cut the Sand out of Sandwiches, Eating Apples, Insect Collecting, Keeping the Park Clean, Number Blocks, Socks for Everyone
7. Parts of a Whole, Parts of a Group
• Collect, keep track of, organize numerical data; create representations of data; describe, interpret representations
• Focus on features of data; compare, interpret, hypothesize about data sets
• Plan a data-analysis project
CDI
Bowls of Apples, Easter Baskets, Field Trip, Pieces of Pizza, Pizza Party, Pogs, 100th Birthday Celebration

CDII
Happy Birthday Abby, Hatching Chicks, Renting Craft Spaces, Share and Share Alike, Sharing Sleds

CDIII
Feeding Fred, Fudge, No Sand in the Sandwiches, Pizza Time
8. Partners, Teams, and Paper Clips
• Sequence events; represent events in time; compare durations of time of a day; learn time notation
• invent rhythm patterns; communicate with and interpret written symbols and codes
CDI
Average Number of Letters, 100th Birthday Celebration, Bug Watching, Coin Combinations, License Plates, Valentine's Day Party Plan, Witches Transportation

CDII
Dandelion Dilemma, Holiday Fair Shopping Spree, Farmer Brown, Legs, Let's Plan a Party

CDIII
Baking Brownies, Boots and Hats, Candy Shop Treats, Car Wash, Collecting Seashells, Counting Corners, Crackers, Cut the Sand out of Sandwiches, Eating Apples, Insect Collecting, Keeping the Park Clean, Number Blocks, Socks for Everyone
9. Measuring Length and Time
• Sequence events; represent events in time; compare durations of time of a day; learn time notation
• invent rhythm patterns; communicate with and interpret written symbols and codes
CDI
Bug Watching, Eggsactly, Fencing, Hard Workers, How Big is a Foot? Marshmallow Peeps® all in a Row, Piano Schedule, Snail Trails, Wrist Circumference

CDII
Calendar Problem, Wonderful Leaves

CDIII
Feeding Fred, On Time, Measuring a Tulip

## Investigations in Number, Data and Space Third Grade

Investigations Unit Math Concepts Exemplars Tasks/Location
• Understanding the equivalence of one group and the units that comprise it
• Adding and subtracting accurately and efficiently
CDI
Another Domino Dilemma, Busy Day, Raccoons, Kwanza Celebration, Necco® Mania

CDII

CDIII
Hanging Airplanes, Help I'm Melting, Jeff's Marble Collection, L's for Linda, Lunch at the Hot Dog Cart, Painting Plans, Picture Frames, Raising Chicks, Saving Money
2. Surveys and Line Plots
• Describing, summarizing, and comparing data
• Representing data
• Designing and carrying out a data investigation
• measuring with standard units (linear and temperature)
CDI
Post Office, Display, Chocolate Chip Cookie Rubric, Necco Mania, M&M® Mini-Bus Challenge, Miss Amico's Birthday Bash, Spring Seeds, Valentine Candy Challenge

CDII
Fair Snack, Chick-a-dee-dee, Good-bye Party Fun, Lost Count, Valentine's Day Cards

CDIII
Barney's Bakeries, Hanging Airplanes, In the Bag, It's Time for a Party, Painting Plans, Pumpkin Character Challenge
3. Collections and Travel Stories
• Extending knowledge of the number system to 1000
• Understanding the equivalence of one group and the discrete units that comprise it
• Adding and subtracting accurately and efficiently
• Understanding different types of subtraction problems
CDI
Busy Day, Raccoons, What's the Problem, Another Domino Dilemma, Ant in the Well, Pedal Power

CDII
Book Club, Don't let the Bedbugs Bite, Galaxy Araca, Getting Ready, Got Milk? Holiday Fair, Lost Count, To the Detail, Who Owns the Most Land, Planely a Problem

CDIII
Batting Practice, Bobsled Blunder, A Broken Gumball Machine, Hanging Airplanes, Help I'm Melting, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Pattern, Lunch at the Hot Dog Cart, A Puzzle, Painting Plans, Picture Frames, Raising Chicks, Saving Money
4. Perimeter, Angles, and Area
• Measuring with standard units (metric and customary)
• Understanding and finding perimeter
• Understanding and finding area
• Describing and classifying 2-D figures
• Describing and measuring angles
CDI
Bulletin Board Border, Carpet Caper, Post Office Display, Terrific Tiles, Zeno the Xylophone Maker, Miss Guy's Puppy Problem, Mrs. Hasson's Decorating Dilemma, Sandbox for Geoffrey, Tangram Areas, Leaves, Two-Inch Square

CDII
Who Owns the Most Land, Cookie Cutters, Valentine's Day Cards, Right-Equilateral Triangle?

CDIII
A Challenge, Hanging Airplanes, Painting Plans, A Pyramid of Crunchkins, Spinner Fixing, Tiles for a Bedroom
5. Equal Groups
• Understanding the meaning of multiplication
• Reasoning about numbers and their factors and multiples
• Understanding and working with an array model of multiplication
• Learning the multiplication combinations with products up to 50 fluently
• Developing strategies for division based on understanding the inverse relationship between multiplication and division
CDI
Camping, Checkerboard Investigation, Fish Dilemma, Great Pizza Dilemma, Missing Key Dilemma, I-Did-A-Read, Necco® Mania

CDII
Chick-a-dee-dee, Goodbye Party Fun, Meddling with the Medals, A Very Fishy Story, Chick-a-dee-dee, Good-bye Party Fun, Lost Count, Planely a Problem

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens, Saving Money
6. Stories, Tables, and Graphs
• Using graphs to represent change
• Using tables to represent change
• Describing and representing a constant rate of change
• Constructing, describing, and extending number sequences with constant increments generated by various contexts
• Understanding temperature and measuring with standard units
CDI
Busy Day, Checkerboard Investigation, Chocolate Chip Cookie Rubric, Miss Guys' Puppy Problem, Party Seating, Pedal Power, Penny a Day, Raccoons, Sandbox for Geoffrey, Sleigh Rides, Stacks of Coins, Tower Problem, Great Pizza Dilemma

CDII
Betty's Blocks, Calendar Problem, Eating Jelly Beans, Farmer Brown, Finicky Cat, Flies and a Frog, Hatching Chicks, Ice Cream, Let's Play, Lining Up, Mary Quite Contrary, A New Necklace, Nine Cents, Sharing Sleds, Staying Warm

CDIII
Barney's Bakeries, Batting Practice, A Broken Gumball Machine, Building Towers, Calling All Students, Hanging Airplanes, Help I'm Melting, Improving His Aim, Letter Patterns, L's for Linda, Pattern Block Fish, Pattern-Block Walls, Picture Frames, A Pyramid of Crunchkins, Tiles for a Bedroom
7. Finding Fair Shares
• Understanding the meaning of fractions and decimal fractions as equal parts of a whole (an object, an area, a set of objects)
• Using representations to combine fractions
CDI
A Penny a Day, Valentine Candy Challenge, Zeno the Xylophone Maker, Blue Print, Camping, Deluxe Birthday Cake, Filling the Pool, More for the Money, Portfolio Pizza Party, Stained Glass Surprise, What is Fair?

CDII
Happy Birthday Abby, Hatching Chicks, Legs, Holiday Fair Shopping Spree, Nine Cents, Sweet Sale, Eating Jelly Beans, Flies and a Frog, Let's Plan a Party

CDIII
A Challenge, Feeling Hungry, Lost Spinner, Lugging Water I, A Puzzle, Picture Frames, Should Hannah Play? Spinner Fixing, Painting Plans, Tiles for a Bedroom
8. How Many Hundreds? How Many Miles?
• Adding and subtracting accurately and efficiently
• Describing, analyzing, and comparing strategies for adding and subtracting whole numbers
CDI
Ant in the Well M&M® Mini-Bus Challenge, Penny a Day, Harvest Dinner, I-Did-A-Read, Job Hunting, New Year's Party, Playground Committee, Return of the Pandas, Should We Burst Their Bubble?

CDII
Legs, Book Club, Don't let the Bedbugs Bite, Galaxy Araca, Getting Ready, Got Milk? Holiday Fair, Lost Count, To the Detail, Who Owns the Most Land, Planely a Problem

CDIII
Batting Practice, Bobsled Blunder, A Broken Gumball Machine, Hanging Airplanes, Help I'm Melting, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Pattern, Lunch at the Hot Dog Cart, Painting Plans, Picture Frames, Raising Chicks, Saving Money
9. Solids and Boxes
• Describing properties of 3-D shapes
• Translating between 2-D and 3-D shapes
• Structuring rectangular prisms and determining their volume
CDI
Party Seating, Playground Fun, Tangram Areas - Grandfather Tang's Story

CDII
Valentine's Day Cards, Happy Birthday Abby, A Shower of Shapes, Someone's Been Eating my Porridge, Time for Math, Wonderful Leaves

CDIII
A Challenge, Painting Plans, Spinner Fixing

## Investigations in Number, Data and Space Fourth Grade

Investigations Unit Math Concepts Exemplars Tasks/Location
1. Factors, Multiples, and Arrays
• Understanding and working with an array model of multiplication
• Reasoning about numbers and their factors
• Fluency with multiplication combinations to 12 X 12
CDI
Carpet Caper, Checkerboard Investigations, Miss Guy's Puppy Problem, Missing Key Dilemma, Necco® Mania, Sandbox for Geoffrey, Two-Inch Squares

CDII
Chick-a-Dee Dee, M&M®'s Cookie Combos, Dependable Parent Volunteers

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hot Dogs for a Picnic, Jeff's Marble Collection, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens
2. Describing the Shape of the Data
• Representing data
• Describing, summarizing, and comparing data
• Analyzing and interpreting data
• Designing and carrying out a data investigation
• Describing the probability of an event
CDI
Theodore Bear, Necco® Mania, Bulletin Board Border, Camping, The Early Bird Catches the Worm, Fish Dilemma, Job Hunting, M&M® Mini-Bus Challenge, Making a Fair Decision, Miss Amico's Birthday Bash, Spring Seeds, Theodore Teddy Bear, Valentine Candy Challenge

CDII
Bridge Building on Lake Champlain, Fair's Fair? A Lucky Draw, Pattern Block Thinking, The Price is Right, But Are You?

CDIII
Barney's Bakeries, Hanging Airplanes, In the Bag, It's Time for a Party, Painting Plans, Pumpkin Character Challenge, Playing Checkers
3. Multiple Towers and Division Stories Students
• Solving multiplication problems with 2-digit numbers
• Understanding and using the relationship between multiplication and division to solve division problems
• Reasoning about numbers and their factors
• Representing the meaning of multiplication and division
CDI
Carpet Caper, Dominoes, Filling the Pool, More for the Money, Mrs. Hasson's Decorating Dilemma, Playground Committee, What is Fair?

CDII
The Beaver Olympics, Book Club, Goodbye Party Fun, A Stinky Situation

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens, Saving Money
4. Size, Shape and Symmetry Students
• Measuring with standard units (metric and customary)
• Describing and classifying 2-D figures
• Describing and measuring angles
• Understanding and finding area
CDI
Carpet Caper, Post Office Display, Terrific Tiles, Miss Guy's Puppy Problem, Mrs. Hasson's Decorating Dilemma, Post Office Display, Sandbox for Geoffrey, Tangram Areas, Terrific Tiles, Two-Inch Square, Shovel-Shovel-Shovel

CDII
Who Owns the Most Land, Bridge Building on Lake Champlain, Cookie Cutters, Galaxy Araca, Valentine's Day Cards, Right-Equilateral Triangle? Got Milk?

CDIII
A Challenge, Hanging Airplanes, Painting Plans, A Pyramid of Crunchkins, Spinner Fixing, Tiles for a Bedroom
5. Landmarks and Large Numbers
• Extending the knowledge of the number system to 10,000
• understanding different types of subtraction problems
• Adding and subtracting accurately and efficiently
• Describing, analyzing, and comparing strategies for adding and subtracting whole numbers
CDI
Another Domino Dilemma, Ant in the Well, Camping, Disappearing Cookies, Harvest Dinner, Kwanza Celebration, More for the Money, Pedal Power, Penny a Day, Shopping for Shoes

CDII
Book Club, Don't Let the Bedbugs Bite, Galaxy Araca, Getting Ready, Holiday Fair, Skating Trip, To the Detail, A Very Fishy Story, "Planely" a Problem

CDIII
Jeff's Marble Collection, A Puzzle, Raising Chicks, Batting Practice, Bobsled Blunder, Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Letter Patterns
6. Fraction Cards and Decimal Squares
• Understanding the meaning of fractions and decimal fractions
• Comparing the values of fractions and decimal fractions
• Using representations to add rational numbers
CDI
Deluxe Birthday Cake, Disappearing Cookies, Great Pizza Dilemma, Is Dan Losing His Marbles? Party Seating, Sandbox for Geoffrey, Should We Burst Their Bubble?

CDII
Dependable Parent Volunteers, Feverish Freddy, Fun Night, Ollie Owl's Food Court, Who Owns the Most Land?

CDIII
A Challenge, Feeling Hungry, Lost Spinner, Lugging Water I, A Puzzle, Picture Frames, Should Hannah Play? Spinner Fixing, Painting Plans, Tiles for a Bedroom
7. Moving Between Solids and Silhouettes
• Describing properties of 3-dimensional shapes
• Translating between 2-dimensional and 3-dimensional shapes
• Structuring rectangular prisms and determining their volume
CDI
Checkerboard Investigation, Two-Inch Square, Carpet Caper, Miss Guy's Puppy Problem, Filling the Pool, Playground Committee

CDII
Cookie Cutters, Feverish Freddy, Fun Night, Ollie Owl's Food Court, Valentine's Day Cards, Got Milk?

CDIII
A Challenge, Painting Plans, A Pyramid of Crunchkins, Spinner Fixing, Tiles for a Bedroom
8. How Many Packages? How Many Groups?
• Solving multiplication problems with 2-digit numbers
• Understanding division as making groups of the divisor
CDI
Carpet Caper, Dominoes, Filling the Pool, More for the Money, Mrs. Hasson's Decorating Dilemma, Playground Committee, What is Fair?

CDII
The Beaver Olympics, Book Club, Goodbye Party Fun, A Stinky Situation

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens, Saving Money
9. Penny Jars and Plant Growth
• Describing and using graphs to represent change
• Using tables to represent change
• Describing and representing a constant rate of change
CDI
Great Pizza Dilemma, Spring Seeds, Busy Day, Filling the Pool, I-Did-A-Read, Spring Seeds

CDII
Chick-a-dee-dee, Bridge Building on Lake Chaplain, Don't Let the Bedbugs Bite! To the Detail, Skating Trip, A Very Fishy Story, Starring the Washington Monument

CDIII
Barney's Bakeries, Batting Practice, A Broken Gumball Machine, Building Towers, Calling All Students, Hanging Airplanes, Help I'm Melting, Improving His Aim, Letter Patterns, L's for Linda, Pattern Block Fish, Pattern-Block Walls, Picture Frames, A Pyramid of Crunchkins, Tiles for a Bedroom

## Investigations in Number, Data and Space Fifth Grade

Investigations Unit Math Concepts Exemplars Tasks/Location
1. Number Puzzles and Multiple Towers
• Reasoning about numbers and their factors
• Solving multiplication problems with 2-digit numbers
• Understanding and using the relationship between multiplication and division to solve division problems
• Representing the meaning of multiplication and division
CDI
Carpet Caper, Filling the Pool, Great Pizza Dilemma, I-Did-A-Read, Portfolio Pizza Party, Shovel, Shovel, Shovel, What's the Problem? Winning Ticket

CDII
Chick-a-dee-dee, Feverish Freddy, Fun Night, "M&M® Cookie Combos, Lost Count, Meddling with Medals

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens, Saving Money
2. Prisms and Pyramids
• Translating between two-dimensional and three-dimensional shapes
• Structuring rectangular prisms and determining their volume
• Structuring prisms, pyramids, cylinders, and cones and determining their volume
CDI
Spring Seeds, Should We Burst Their Bubble?

CDIII
A Challenge, Painting Plans, A Pyramid of Crunchkins, Spinner Fixing, Tiles for a Bedroom
3. Thousands of Miles, Thousands of Seats
• Extending knowledge of the number system to 100,000 and beyond
• Adding and subtracting accurately and efficiently
• Examining and using strategies for subtracting whole numbers
CDI
Another Domino Dilemma, Ant in the Well, Camping, Disappearing Cookies, Harvest Dinner, Kwanza Celebration, More for the Money, Pedal Power, Penny a Day, Shopping for Shoes

CDII
Book Club, Don't Let the Bedbugs Bite, Galaxy Araca, Getting Ready, Holiday Fair, Skating Trip, To the Detail, A Very Fishy Story, "Planely" a Problem
4. What's That Portion
• Understanding the meaning of fractions and percents
• Comparing fractions
CDI
Deluxe Birthday Cake, Disappearing Cookies, Equal Snacks, Great Pizza Dilemma, Is Dan Losing His Marbles? A Problem on the Prairie, Party Seating, Sandbox for Geoffrey, Should We Burst Their Bubble?

CDII
Book Club, Dependable Parent Volunteers, Feverish Freddy, Fun Night, Ollie Owl's Food Court, Taco Spread, Who Owns the Most Land?

CDIII
A Challenge, Feeling Hungry, Lost Spinner, Lugging Water I, A Puzzle, Picture Frames, Should Hannah Play? Spinner Fixing, Painting Plans, Tiles for a Bedroom
5. Measuring Polygons
• Describing and classifying two-dimensional figures
• Describing and measuring angles
• Finding perimeter and area of rectangles
• Creating and describing similar shapes
CDI
Carpet Caper, Checkerboard Investigation, Deluxe Birthday Cake, Stained Glass Surprise

CDII
Cookie Cutters, Feverish Freddy, Fun Night, Ollie Owl's Food Court, Who Owns the Most Land? Pattern Block Thinking

CDIII
A Challenge, Hanging Airplanes, Painting Plans, Spinner Fixing, Tiles for a Bedroom
6. Decimals on Grids and Number Lines
• Understanding the meaning of decimal fractions
• Comparing decimal fractions
CDI
Penny a Day, Valentine Candy Challenge, Zeno the Xylophone Maker

CDII
Book Club, Dependable Parent Volunteers, Fun Night, The Price is Right, But Are You? Skating Trip, Who Owns the Most Land?
7. How Many People? How Many Teams?
• Reasoning about equivalent expressions in multiplication and division
• Representing the meaning of multiplication and division
• Solving multiplication problems with 2-digit and 3-digit numbers
• Solving division problems with 2-digit divisors
CDI
Carpet Caper, Dominoes, Filling the Pool, More for the Money, Mrs. Hasson's Decorating Dilemma, Playground Committee, What is Fair?

CDII
The Beaver Olympics, Book Club, Goodbye Party Fun, A Stinky Situation

CDIII
Bobsled Blunder, A Broken Gumball Machine, A Challenge, Hanging Airplanes, Hot Dogs for a Picnic, Jeff's Marble Collection, L's for Linda, Letter Patterns, Lunch at the Hot Dog Cart, Raising Chickens, Saving Money
8. Growth Patterns
• Using tables to represent change
• Using graphs to represent change
• Describing and representing situations with a constant rate of change
• Describing and representing situations in which the rate of change is not constant
CDI
Great Pizza Dilemma, Spring Seeds, Busy Day, Filling the Pool, I-Did-A-Read, Spring Seeds, Portfolio Pizza Party, Zeno the Xylophone Maker, Blue Print, Busy Day, Pedal Power

CDII
Chick-a-dee-dee, Bridge Building on Lake Chaplain, Don't Let the Bedbugs Bite! To the Detail, Skating Trip, A Very Fishy Story, Starring the Washington Monument

CDIII
Barney's Bakeries, Batting Practice, A Broken Gumball Machine, Building Towers, Calling All Students, Hanging Airplanes, Help I'm Melting, Improving His Aim, Letter Patterns, L's for Linda, Pattern Block Fish, Pattern-Block Walls, Picture Frames, A Pyramid of Crunchkins, Tiles for a Bedroom
9. How Long Can You Stand on One Foot?
• Representing data
• Describing, summarizing, and comparing data
• Analyzing and interpreting data
• Designing and carrying out a data investigation
• Describing the probability of an event
CDI
Equal Snacks, M&M® Mini-Bus Challenge, Making a Fair Decision, Miss Amico's Birthday Bash, New Year's Party, Portfolio Pizza Party, Should We Burst Their Bubble? Spring Seeds, Theodore Bear

CDII
Bridge Building on Lake Champlain, Don't Let the Bedbugs Bite! "M&M® Cookie Combos, Fair's Fair, A Lucky Draw, The Price is Right, But Are You? Pattern Block Thinking

CDIII
Barney's Bakeries, Hanging Airplanes, In the Bag, It's Time for a Party, Painting Plans, Pumpkin Character Challenge, Playing Checkers

Our teacher-friendly tasks are designed to support both the Common Core and Citywide instructional expectations. GO Math! alignments are also available.
Set up your FREE 30-day Trial today!

Explore our latest K-5 math material and begin using it in your classroom.
Set up your FREE 30-day Trial today!

## Here's What People Are Saying

Thank you for a fabulous 2 days of training! We enjoyed everything we learned and are so excited to take our new knowledge back to our classrooms...

M. Kelley & A. Tidmore

Katy ISD

Exemplars | 271 Poker Hill Road | Underhill, Vermont 05489 | ph: 800-450-4050 | fax: 802-899-4825 | infoREMOVETHISBEFORESENDING@exemplars.com