## Common Core State Standards for Mathematics

Grade(s) K-12 resources related to the following standard:
Standards for Mathematical Practice
Construct viable arguments and critique the reasoning of others.

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These 5 activities, part of the Mathematics Developmental Continuum of the State of Victoria, Australia, are intended to introduce learners to making conjectures and using counterexamples in proofs. Investigations into the theory of numbers provide the content. Supporting documents, and progress indicators are included.
Activity, Instructor Guide/Manual, Illustration
Grade Level: 4, 5, 6+
(1 Comments)
In this investigation students explore the concept of ratios and their relationship with factors and multiples. Given an assortment of cogs (gears) with different numbers of teeth, solvers are asked to find which pairs allow for each tooth of one to fit into every gap of the other, and to form conjectures regarding which pairs would work generally. The problem is well-suited for group work. The Teachers' Notes page offers suggestions for implementation, key questions, student sheets, and links to articles, videos, and an interactive Cog Environment (cataloged separately).
Activity, Interactive Media, Video
Grade Level: 3, 4, 5, 6+
(0 Comments)
This problem gives children an opportunity to explore an increasing pattern and then generalize the results with a rule. Students begin with a single counter, surround it by a ring of other counters and then each new ring is surrounded with more counters. Solvers record results as they replicate the pattern and make predictions about many counters there will be in any given ring. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.
Activity
Grade Level: 3, 4, 5
(0 Comments)
In this activity, based on the picture book "Counting on Frank" by Rod Clement, students explore and compare the volume of different containers using standard and non-standard units of measure. Through this activity students develop an understanding of why standard units may be preferable to non-standard units. The activity includes a suggested lesson sequence with guide questions throughout.
Activity, Lesson Plans
Grade Level: 3, 4, 5
(0 Comments)
In this one-hour web cast, Gerald Aungst expands on his article regarding the 5 principles (conjecture, communication, collaboration, chaos, and celebration) that need to be embraced by teachers in the classroom to have a problem-solving and problem-finding culture. Gerald explores a few specific classroom routines, which support the principles, and discusses how digital technology can transform these routines and practices to enable students to become powerful problem solvers.
Community, Video, Voice Recording
Grade Level: K, 1, 2, 3, 4, 5, 6+
Resource is part of a PD collection
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This collection of videos allows viewers to observe students as they are learning and to examine their work on a three-part lesson involving emergent multiplication concepts. A grade 2 teacher and her mentor analyze different strategies and models that children use to solve problems as they develop big ideas in mathematics, as well as teaching techniques that foster that development. The resource includes relevant video clips of Doug Clements and Lucy West, a Viewer's Guide, and organizers.
Activity, Instructional Strategy, Video
Grade Level: K, 1, 2, 3, 4, 5
(0 Comments)
This primary probability game is designed to give students a basic understanding of probability while practicing their subtraction skills. The object of the game is to be the first team to move their playing pieces(eight frogs) across the pond on the numbered (from 1-11) lily pads. When the team spins the double spinner and the difference between the two numbers matches a number that has one of their frogs on it, then that frog safely crosses to the other side. Students keep track on a bar graph of the resulting differences so they can revise their strategy halfway through the game. All worksheets for the game are included in PDF format.
Activity, Game, Lesson Plans
Grade Level: 1, 2, 3
(2 Comments)
This problem requires some visualization and knowledge of 3D shapes. It gives children experience of identifying shapes from pictures of them in different positions and orientations. Ideas for implementation, extension and support are included along with a printable sheet of shape cards.
Activity
Grade Level: 2, 3
(0 Comments)
This webpage features a STEM investigation developed by teachers Carrie Lewis and Kelly Steele to strengthen understanding of patterns with grade 5 students. After observing and analyzing dance videos, teams of students create their own routines based on numerical patterns. The page includes a downloadable (pdf) lesson plan, student handouts, and teacher tools, and features a 9-minute video describing the project and demonstrating students at work.
Activity, Lesson Plans, Unit of Instruction, Video
Grade Level: 4, 5, 6+
(1 Comments)
This webpage contains 3 data collection and probability activities. Each activity listed on this page can be completed by flipping a penny or a penny and a dime. Each activity includes a brief description and a PDF document for data collection/game play.
Activity, Game
Grade Level: 2, 3, 4
(1 Comments)