Investigations
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Investigations in Number, Data and Space
Fourth Grade

Pearson Education, Inc. Copyright 2008

Investigations Unit Math Emphases 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