Important supplement to the Investigations’ curriculum in that it builds on the ideas introduced in Building Number Sense and Number Games and Story Problems but it emphasizes the place value in our number system.
Measuring for the Art Show
Bigger Taller, Heavier Smaller (Grade 1)
How Long, How Far (Grade 2)
Builds sequentially from repeated addition to multiplicative thinking and lays a framework for strategies that will help automatize the basic facts.
The Big Dinner
Landmarks in the Hundreds (Grade 3)
Provides an important addition to Investigations by emphasizing the ratio table as powerful tool for multiplicative reasoning and lays a foundation for the development of proportional reasoning.
Arrays and Shares (Grade 4)
Investigations 1 & 2
Provides an important addition to Investigations by developing the open array as a model that can be used as a powerful tool to support the development of partial products and the distributive, commutative, and associative properties.
The Teachers’ Lounge
Arrays and Share (Grade 4)
Packages and Groups (Grade 4)
Investigations 2 & 3
Provides an important addition to Investigations by emphasizing the open array as a model to represent division. Also emphasizes place value and the distributive property for multiplication over addition, which provide a foundation for the standard division algorithm.
Minilessons for Early Multiplication and Division
A resource to support the automatization of the basic facts for multiplication and division and to develop early computation strategies with larger numbers.
Exploring Solids and Boxes (Grade 3)
Packages and Groups (Grade 4)
Containers and Cubes (Grade 5)
Investigations 4 & 5
Investigations 1, 2, & 3
Emphasizes the associative property and supports the generalization of the relationship between surface area and volume in rectangular solids.
Minilessons for Extending Multiplication and Division
In contrast to Investigations’ cluster problems, this resource makes use of crafted strings of related problems to ensure the development of efficient computation for multiplication and division. The minilessons within this resource emphasize mental arithmetic and the use of the associative and distributive properties.
Three Out of Four Like Spaghetti (Grade 4)
Name that Portion
Builds on the work done in the Investigations’ units Fair Shares and Three out of Four Like Spaghetti by emphasizing the connection of division to fractions.
Supports the generalization between the various fraction models introduced in other Investigations units (fair-sharing, the bar model, part/whole and introduces the use of the open number line model which supports addition and subtraction fraction work to come).
The California Frog-Jumping Contest
Provides an important addition to the algebra strand by focusing on symbolizing with variables and emphasizing that an algebraic expression can be treated as an object (not only as a procedure). The double open number line is used throughout as a tool to support the development of strategies for solving for unknowns and simultaneous equations.
Best Buys, Ratios, and Rates
Builds on Different Shapes, Equal Pieces by providing many opportunities for students to explore fractions of changing wholes.
Provides an important addition to Money, Miles, and Large Numbers by developing the double open number line and the ratio models for fractional equivalence and proportional reasoning as a foundation for addition and subtraction of fractions.
The Mystery of the Meter
Name That Portion (Grade 5)
Provides an important addition to Investigations’ treatment of decimals by introducing the analog meter to emphasize place value and equivalence.