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Click on the link of a grade listed below to access its alignment:
Kindergarten
Grade One
Grade Two
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Grade Five
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Investigations in Number, Data and Space
Fifth Grade
Dale Seymore Publications. Copyright 1998, 2004, 2006
| Mathematical Thinking at Grade 5 |
- Describe numbers, relationships using terminology; develop, discuss, compare strategies for solving problems; learn that problems have more than one solution; communicate thinking
- Use knowledge of landmark numbers; develop strategies for explore number compositions; read, write, order numbers to 1000; become familiar with factors of 1000, 10,000; skip counting patterns that lead to 1000, 10,000
- Develop mult/division strategies that rely on landmarks up to 10,000
- Develop mental, written strategies for finding sums/differences of 3 and 4-digit numbers; read, write, order numbers to 10,000
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CDI
Raccoons, Portfolio Pizza Party, Ant in the Well, Carpet Caper, Is Dan Losing His Marbles? Missing Key Dilemma, Playground Fun, Portfolio Pizza Party, Should We Burst Their Bubble? Sleigh Rides, Stacks of Coins, What is Fair?
CDII
Chick-a-dee-dee, Skating Party, Starring the Washington Monument
Volume 9
New Equipment
Volume 10
Batting Practice, Bird Watching, Bobsled Blunders, Olympic Medal Count, Barnum's Animal Cracker Circus, Collections, Hiking, Kate's Flower Garden |
| Picturing Polygons |
- Distinguish between polygons, nonpolygons; draw them; locate points on coordinate grid; recognize, name polygons by number of sides
- Reason, communicate about properties of shapes; sort, classify, develop terminology triangles, quadrilaterals; estimate, measure sizes of angles
- Explore relationship between number of sides on polygon, sums of its turns and angles; explore relationships among angles, line lengths, and areas of similar polygons; compare areas of shapes
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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
Volume 9
Right-Equilateral Triangle?
A Pyramid of Crunchkins
Volume 10
Follow My Lead, Barnum's Animal Cracker Circus |
| Name That Portion |
- Use fractions to describe how many in a group share a characteristic; represent fractions, percents on number line; find, order equivalent fractions, percents; interpret common uses of percents; build on unit fraction knowledge
- Represent fractions as rotation around a circle; mark strips into fractional parts; find equivalent fractions; order, add fractions
- Represent decimals on grids; read, write, order, add decimals; divide to find decimal equivalents of fractions; compare fractions using different models, notations; make sense of word problems using fractions, decimals
- Plan, conduct surveys; organize, represent data as fractions, percents, circle graphs; interpret common uses for fractions, decimals, percents
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CDI
Checkerboard Investigation, Two-Inch Square, Deluxe Birthday Cake, Equal Snacks, Is Dan Losing His Marbles? Portfolio Pizza Party, Shopping for Shoes, Should We Burst Their Bubble? Shovel, Shovel, Shovel, Zeno the Xylophone Maker
CDII
Book Club, Dependable Parent Volunteers, Feverish Freddy, Fun Night, Taco Spread, Who Owns the Most Land?
Volume 9
Spilled Milk
Volume 10
Lugging Water, Fishing Worms |
| Between Never and Always |
- Associate verbal descriptions of probability with numeric descriptions; repeat probability experiments; use probability to predict; estimate probabilities from results of actual trials; predict, analyze features of distribution; learn to add probabilities of simple events
- Interpret fairness of game; develop systematic ways to generate a list; distinguish between games of chance/skill; analyze group data in terms of general features-center, spread; understand variability in results
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CDI
New Year's Party, Necco® Mania, Making a Fair Decision, Miss Amico's Birthday Bash, Valentine Candy Challenge
CDII
Fair's Fair, A Lucky Draw, The Price is Right, But Are You? Pattern Block Thinking |
| Building on Numbers You Know |
- Relate repeated add to mult; use skip-counting patterns; develop, explain, compare strategies for subtracting larger numbers; record computation strategies in numbers, words, symbols
- Develop, record, compare strategies for solving mult, division problems; make sense of remainders; understand relationships between mult, division; model situations with mult, div, and other operations
- Develop, explain, record, compare strategies for estimating, finding exact answers; solve mult, division
- problems in more than one way
- Work on developing sense of quantities up to 100,000s; use rectangular array model to represent factor pairs of large numbers; develop a sense of 1 million
- apply computation strategies to more difficult problems; develop strategies for estimating answers to difficult problems; read, write, sequence multiples up to one million' develop sense of one million; understand relationships among four basic operations
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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
Volume 10
Bird Watching, Jeff's Marbles, Raising Chicks, Snack Shopping, Kate's Flower Garden, Lunch at the Hot Dog Hut, Over in the Meadow, Saving Money |
| Measurement Benchmarks |
- use tools for measuring length, weight, volume, time; recognize different units of measure; use benchmarks to estimate; decide when precise measurement is required; keep track of, calculate total measurements; compare distances; use scale on maps
- order items by measures of weight, liquid quantities; compare relative sizes of standard, metric measures; measure weight with balance; distinguish between quantity and weight; use graphs to organize data; develop benchmarks for larger weights
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CDI
Theodore Bear, Necco® Mania, Blue Print, Busy Day, Sandbox for Geoffrey, Should We Burst Their Bubble? Shovel, Shovel, Shovel, Terrific Tiles
CDII
The Beaver Olympics, Bridge Building on Lake Champlain, Galaxy Araca, Getting Ready, Got Milk? Ollie Owl's Food Court, "Planely" A Problem, A Stinky Situation
Volume 9
Spilled Milk, Celebrating My Birthday
Volume 10
Making Candles, Kate's Flower Garden |
| Patterns of Change |
- build designs that change in regular way, according to number patterns; predict later steps of number patterns, designs; make tables, graphs to display number patterns; use language of speed, motion to describe number patterns
- explore relationships among distance, time, speed; explore irregular increases, decreases; explore ways that speed, time, distance can be represented with tables, graphs, stories; interpret intervals in a table; interpret steepness in a distance vs. time graph; associate tables, graphs, stories
- develop vocabulary to discuss motion; represent motion with tables, graphs, verbal descriptions; explore relationships among distance, time, speed; connect slope in a graph with rate of change; relate number patterns to graph shapes
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CDI
Portfolio Pizza Party, Zeno the Xylophone Maker, Blue Print, Busy Day, Pedal Power
CDII
Chick-a-dee-dee, To the Detail, Don't Let the Bedbugs Bite
Volume 9
Spilled Milk, Picture Frames, Counting Sheep, L's For Linda, Improving His Aim, A Pyramid of Crunchkins, Help - I'm Melting!!!
Volume 10
Bobsled Blunders, Barnum's Animal Cracker Circus, Collections |
| Containers and Cubes |
- see 3-D arrays of cubes as congruent layers; explore volume
- understand the relationship between dimensions of a box and how many rectangular packages fill the box
- work on understanding volume; describe, justify methods for determining volume
- compare volumes; understand structure of solids through building them
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CDI
Spring Seeds |
| Data: Kids, Cats, and Ads |
- use line plots to represent data sets; compare two data sets; find medians; make hypotheses make statements based on data
- collect, examine data; make representations of numerical, categorical variables; use fractions, percents; explore how two variables might be related; learn to enter, analyze data
- learn what a sample is; compare data; learn why a larger sample is preferable
- choose strategy to find a representative sample; compare data; analyze single data set in more than one way
- define question, sample; test, refine survey questions; collect and collate data; develop theories based on data; make recommendation based on interpretation of data
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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
Volume 9
Calling All Students, New Equipment, Picture Frames, Counting Sheep, L's For Linda, Improving His Aim, A Pyramid of Crunchkins, Help - I'm Melting!!! Pumpkin Character Challenge, Pavich Raisins
Volume 10
Batting Practice, Bird Watching, Bobsled Blunders, Barney's Bakeries, Collections, Hiking |
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