Exemplars + Investigations in Number, Data and Space
Third Grade

Investigations Unit	Math Concepts	Exemplars Tasks/Location
Mathematical Thinking at Grade 3	Count, group quantities to 100; become familiar with patterns on 100 chart; explore materials; communicate math thinking through written and spoken language Construct symmetrical patterns for addition combinations; develop add strategies; explore numbers divided into halves Sort, classify information; collect, record, and represent data; describe data in tallies or graphs; use groupings; use strategies for combining and comparing quantities Explore characteristics of odd, even numbers; examine their combinations; become familiar with calculators	CDI Presents, Ant in the Well, Chocolate Chip Cookie Rubric CDII Chick-a-dee-dee, Good-bye Party Fun, Lost Count CDIII A Challenge?, Letter Patterns, Playing Checkers, Pattern Block Walls, Calling All Students, Picture Frames, Improving His Aim, Pumpkin Character Challenge, Bobsled Blunders, Jeff's Marbles, Barney's Bakeries, Lunch at the Hot Dog Hut, Saving Money Volume 9 Pattern Block Walls, Calling All Students, Picture Frames, Improving His Aim, Pumpkin Character Challenge Volume 10 Bird Watching, Bobsled Blunders, Jeff's Marbles, Olympic Medal Count, Barney's Bakeries, Barnum's Animal Cracker Circus, Building with Blocks, Collections, Fishing Worms, Kate's Flower Garden, Lunch at the Hot Dog Hut, Over in the Meadow, Saving Money
Things That Come in Groups	Find things that come in groups; use multiplication notation; use multiplication to mean groups of groups; write and illustrate multiplication sentences Recognize the relationship of skip counting, area, and arrays to multiplication; look for patterns in multiples Find factor pairs; make connections between number and arrays Understand the relationship between mult and division and use notation for number sentences Multiply and divide in real-life situations; use patterns to solve problems; organize, present data in tables and line plots; use tables and line plots	CDI Camping, Checkerboard Investigation, Great Pizza Dilemma CDII Meddling with the Medals, A Very Fishy Story CDIII Picture Frames, Jeff's marbles, Raising Chicks, Barney's Bakeries, Lunch at the Hot Dog Hut, Saving Money Volume 9 Fruit Punch, Picture Frames Volume 10 Jeff's Marbles, Raising Chicks, Snack Shopping, Barney's Bakeries, Barnum's Animal Cracker Circus , Building with Blocks , Hiking , Kate's Flower Garden t, Lunch at the Hot Dog Hut, Over in the Meadow, Saving Money
Flips, Turns, and Area	Measure area; find patterns for area; compare areas; describe flips, slides, and turns; compare shapes for congruency Measure areas; explore relationships among and within shapes; find areas of complex shapes by cutting apart	CDI Checkerboard Investigation, Two-Inch Square, Mrs. Hasson's Decorating Dilemma, Tangram Areas - Grandfather Tang's Story CDII Cookie Cutters, Right-Equilateral Triangle? CDIII Pattern Block Walls Volume 9 Pattern Block Walls
From Paces to Feet	Use nonstandard units to measure distance; experience iteration; estimate length; compare using different-sized unit; analyze data; write and follow directions for distance Understand reason for standard measures; become familiar with inches, ft, yd, cm, m; represent data on a line plot Use standard measures for complex problems to gather, analyze data; collect, organize, represent, analyze data Develop awareness of cm during a project	CDI Miss Guy's Puppy Problem, Playground Committee, Post Office Display, Sandbox for Geoffrey, Zeno the Xylophone Maker CDII Valentine's Day Cards CDIII Barney's Bakeries Volume 9 Getting Ready Volume 10 Making Candles, Barney's Bakeries
Landmarks in the Hundreds	Understand relationship between skip counting and grouping; understand relationship between factors and multiples; become familiar with factors of 100 and use as a landmark; Develop strategies to solve mult and div problems; estimate quantities close to 200, 300, 400, up to 1000, using landmark numbers; use standard multiplication/division notation for problems Work with factors of 100 to build understanding of 1000; estimate quantities to 1000; use landmarks	CDI Missing Key Dilemma, I-Did-A-Read, Necco® Mania CDII Chick-a-dee-dee, Good-bye Party Fun CDIII Improving His Aim Volume 9 Improving His Aim Volume 10 Bird Watching, Over in the Meadow
Up and Down the Number Line	Develop concept of net change and strategies for computing; construct knowledge of positive and negative numbers Represent numbers graphically; interpret change on a number line, graph; compare overall shapes of graphs Relate direction to positive, negative numbers	CDI Ant in the Well, Filling the Pool, Miss Guy's Puppy Problem, Pedal Power, Penny a Day, Winning Ticket CDII Fair's Fair?, Good-bye Party Fun CDIII Batting Practice Volume 10 Batting Practice, Bird Watching, Kate's Flower Garden
Combining and Comparing	Compare numbers and develop strategies to determine differences; develop ways to get to 100 by combining numbers; use landmark numbers to compare quantities Develop understanding "change" in weight, time, distance; find how far a number is from next multiple of 10, 100 Solve addition problems with multiple addends; develop addition strategies; use standard addition & subtraction notation; use equivalencies in time, money, linear measures Collecting, recording, graphing data and making predictions about data Exploring math characteristics of calendar	CDI Another Domino Dilemma, Busy Day, Raccoons, Kwanza Celebration, Necco® Mania CDII "Planely" a Problem, Getting Ready CDIII Celebrating My Birthday, Bobsled Blunder, Saving Money Volume 9 Fruit Punch, Spilled Milk, Getting Ready, Celebrating My Birthday, Breakfast with Grandmother Volume 10 Bird Watching, Bobsled Blunders, Snack Shopping, Fishing Worms, Hiking, Kate's Flower Garden, Over in the Meadow, Saving Money
Turtle Paths	Understand paths and movement representations; apply math processes such as add, sub, estimation Describe attributes of triangles, including degrees of rotation; apply addition, subtraction, estimation, logic skills for missing measures of figures Construct geometric figures; understand shapes' movements; estimate and measuring perimeters; pose and solve original geometric problems	CDI Bulletin Board Border, Tangram Areas - Grandfather Tang's Story, Carpet Caper CDII Valentine's Day Cards CDIII Pattern Block Walls, Picture Frames Volume 9 Pattern Block Walls, Right-Equilateral Triangle? Picture Frames,
Fair Shares	Realize fractional parts must be equal; understand conventional fraction words and notation Become familiar with unit fractions, equivalent fractions Understand relationships between fractions and division; relate notation for division and fractions on the calculator	CDI Deluxe Birthday Cake, Equal Snacks, Great Pizza Dilemma, Is Dan Losing His Marbles?, Making a Fair Decision CDII A Lucky Draw, Fair's Fair?, Pattern Block Thinking, "M&M" Cookie Combos CDIII Lugging Water, Lost Spinner Volume 9 Spilled Milk Volume 10 Lugging Water, Fishing Worms
Exploring Solids and Boxes	Explore, sort, and describe geometric solids; analyze similarities and differences among solids Recognize attributes of polygons, polyhedra Explore 2-D geometric patterns & relationship to 3-D shapes; improve spatial visualization Predict volume; understand structure of rectangular prism arrays of cubes Problem-solving involves planning, trial and error, analysis, and visualization, as well as appropriate computation techniques	CDI Party Seating, Playground Fun, Tangram Areas - Grandfather Tang's Story CDII Valentine's Day Cards CDIII Pattern Block Walls, Calling All Students, Picture Frames Volume 9 Pattern Block Walls, Right-Equilateral Triangle? Calling All Students, Picture Frames Volume 10 Follow My Lead

Exemplars + Investigations in Number, Data and Space Third Grade

Dale Seymore Publications. Copyright 1998, 2004, 2006

Exemplars + Investigations in Number, Data and Space
Third Grade