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Click on the link of a grade listed below to access its alignment:
Kindergarten
Grade One
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Grade Four
Grade Five
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Investigations in Number, Data and Space
Fourth Grade
Dale Seymore Publications. Copyright 1998, 2004, 2006
| Mathematical Thinking at Grade 4 |
- Learn to group items for more efficient counting; reorder number for efficient mental math; explore materials; estimates hundreds in 3 digit numbers; communicate math thinking through spoken and written language
- Group coins for efficient counting; recognize values of coins; recognize use of decimal point on the calculator (with money)
- Focus on known answer to find unknown ones; subtract on a 300 chart; add, subtract multiples of ten
- Distinguish between geometric patterns and random designs; between mirror and rotational symmetry; write about designs
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CDI
Raccoons, Portfolio Pizza Party, Another Domino Dilemma, Dominoes, Fish Dilemma, Missing Key Dilemma
CDII
Dependable Parent Volunteers, M&M® Cookie Combos
Volume 9
Pattern Block Fish, Calling All Students, A Pyramid of Crunchkins
Volume 10
Batting Practice, Bird Watching, Bobsled Blunders, Olympic Medal Count, Barnum's Animal Cracker Circus, Collections, Hiking, Kate's Flower Garden, Over in the Meadow, Saving Money |
| Arrays and Shares |
- Use skip counting; look for multiplication patterns; interpret standard mult/div notation; use known multiplication relationships to solve more complicated ones
- Use an array as model for multiplication; recognize prime numbers; use variety of notations for multiplication and division; understand how division notation represents sharing and partitioning; determine what to do with "leftovers" in division
- Partition numbers to multiply more easily; represent mult/div situations using math sentences; use patterns for multiplication by 10
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CDI
Carpet Caper, Miss Guy's Puppy Problem, Missing Key Dilemma, More for the Money
CDII
Chick-a-Dee Dee
Volume 10
Batting Practice, Bird Watching, Raising Chicks, Snack Shopping, Lunch at the Hot Dog Hut, Over in the Meadow, Saving Money |
| Seeing Solids and Silhouettes |
Students
- Develop concept and language for3-D spatial relationships; explore these among components of 3-D figures; develop visualization skills; think about volume
- See how 3-D solids project 2-D shadows; learn about perspective; learn to visualize objects;
- Interpret instructions; integrate information gathered from views or discussion
- Work in centers creating toys, writing instructions; focus on effective communication skills
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CDI
Checkerboard Investigation, Two-Inch Square, Carpet Caper, Miss Guy's Puppy Problem
CDII
Cookie Cutters
Volume 10
Follow My Lead |
| Landmarks in the Thousands |
Students
- Find and count by factors of 100; use landmarks to find differences between numbers under 100
- Use knowledge of factors of 100 to explore multiples of 100; relate knowledge of factors to division situations; add multiples of 10 to and subtract from numbers in the hundreds; communicate strategies
- Read and write numbers to 1000; gain sense of magnitude up to 1000; use landmarks to 1000; develop strategies for add/sub numbers in the hundreds; estimate to 1000
- Read, write, and sequence numbers in the 1000's
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CDI
New Year's Party, Necco(r) Mania, I-Did-A-Read, M&M® Mini-Bus Challenge, Missing Key Dilemma, More for the Money
CDII
Starring the Washington Monument!
Volume 10
Jeff's Marbles, Lugging Water |
| Different Shapes, Equal Pieces |
- Understand that equal fractions of a whole have same area; equal shapes are not necessarily congruent
- Become familiar with relationships among thirds, sixths, and twelfths; use different combinations to make a whole; compare fractions; work with numerators greater than 1
- Compare fractions to landmarks; order fractions; identify equivalent fractions
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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?
Volume 9
Right-Equilateral Triangle? Pumpkin Character Challenge, A
Pyramid of Crunchkins
Volume 10
Fishing Worms |
| The Shape of the Data |
- Make sketches of data; describe shape of data distribution; define ways data will be collected; summarize typical aspects of data
- Invent ways to compare two sets of data; use linear measurement; visualize and estimate lengths and heights; use median to describe data; find the median
- Organize a complete data-analysis project (from question to display)
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CDI
Theodore Bear, Necco® Mania, Bulletin Board Border, Camping, The Early Bird Catches the Worm, Job Hunting, M&M® Mini-Bus Challenge, Making a Fair Decision, Miss Amico's Birthday Bash, Spring Seeds, Theodore Teddy Bear
CDII
Bridge Building on Lake Champlain
Volume 9
Pattern Block Fish, New Equipment, Pavich Organic Snack Raisins
Volume 10
Batting Practice, Bird Watching, Bobsled Blunders, Making Candles, Barney's Bakeries |
| Money, Miles and Large Numbers |
- Estimate sums of money; explore relationships with money; develop strategies for combining; use tens as landmarks for money; use standard add/sub notation; interpret decimals
- Estimate distances; compare, combine, find differences for decimal numbers;
- Measure distances on maps using a scale; become familiar with common decimal and fraction equivalents
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CDI
Portfolio Pizza Party, Zeno the Xylophone Maker, Blue Print, Job Hunting, Necco® Mania, Penny a Day
CDII
Bridge Building on Lake Champlain, "Planely" a Problem, Who Owns the Most Land?
Volume 10
Bird Watching, Snack Shopping, Fishing Worms, Lunch at the Hot Dog Hut, Saving Money |
| Changes Over Time |
- Plant beans and follow growth of plants
- Make graphs to show change over time; invent representations of data; interpret graphs; develop a scale
- Examine real situations, events that show change; interpret representation that show change
- Use curves to communicate information; compare slow and fast growth; integrate quantitative, qualitative, and graphical descriptions of same data
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CDI
Spring Seeds, Busy Day, Fillilng the Pool, I-Did-A-Read, Spring Seeds
CDII
Don't Let the Bedbugs Bite! To the Detail
Volume 9
Pavich Organic Snack Raisins
Volume 10
Batting Practice, Bird Watching, Barney's Bakeries, Barnum's Animal Cracker Circus, Building with Blocks, Collections, Hiking, Kate's Flower Garden |
| Packages and Groups |
- look for and use multiplication patterns of numbers; become familiar with multiples of large numbers and identify their factors
- use familiar landmarks to solve problems; partition large numbers to multiply them easily; solve double-digit multiplication problems
- understand division notation; create context representative of a division equation; use landmarks to solve problems; use mult/division relationships to solve problems
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CDI
Dominoes, More for the Money, Mrs. Hasson's Decorating Dilemma, Playground Committee
CDII
Chick-a-dee-dee
Volume 9
Picture Frames, L's For Linda, Pavich Organic Snack Raisins
Volume 10
Jeff's Marbles, Lugging Water, Snack Shopping, Saving Money |
| Sunken Ships and Grid Patterns |
- Use positive/negative coordinates to name and locate points; calculate distances on a grid; explore numerical patterns; connect visual and numerical descriptions
- Apply knowledge of coordinates to locate points; describe geometric figures in different ways; create and apply patterns and mental math to solve problems; use mirror and rotational symmetry to place rectangles on a grid
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CDI
Ant in the Well, Tangram Areas, Tangram Money, Terrific Tiles
CDII
Chick-a-Dee Dee
Volume 9
Picture Frames, L's For Linda |
| Three out of Four Like Spaghetti |
- Learn to partition a group according to a rule; find familiar fractions; estimate fractions; collect and analyze categorical data; describe data in terms of fractions; use fractions to compare data
- use fractions to describe/compare data; try different ways to classify data; classify, display, describe, interpret data collected
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CDI
Theodore Bear, Spring Seeds, Portfolio Pizza Party, New Year's Party, Necco® Mania, Equal Snacks, Disappearing Cookies, New Year's Party, s, Spring Seeds
CDII
A Fair Snack? Galaxy Arca
Pavich Organic Snack Raisins |
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