Activities with Rigor and Coherence - ARCs
ARCs are Activities with Rigor and Coherence. Each ARC is a series of lessons that addresses a mathematical topic and demonstrates the vision of Principles to Actions: Ensuring Mathematical Success for All. ARCs scaffold effective teaching and support enactment of the eight Mathematics Teaching Practices articulated in Principles to Actions as well as the instructional guidance set forth in 5 Practices for Orchestrating Productive Mathematics Discussions. ARCs integrate a wide array of NCTM resources to optimize opportunities for learning, including Illuminations and Student Explorations in Mathematics. ARCs also include community features that offer opportunities for social interaction. Engage in online discussions with other math educators, post a comment, and give feedback with ratings and reviews.
Kindergarten, Counting & Cardinality
Students focus on understanding the relationship between numbers and quantities by counting, producing, and constructing the numbers 0-10 as well as developing 5 as a benchmark.
Kindergarten and 1st Grade
Games and activities using cubes, counters and ten frames, carefully sequenced to develop fluency with Combinations of Ten.
Name fractions and develop an understanding of equivalent fractions using multiple models, including fraction strips, Cuisenaire rods, and number lines.
Grade 5, Operations & Algebraic Thinking
Students build and analyze geometric growing patterns, determine rules, and write expressions to describe the growth models.
Grade 6, Geometry
Students discover the area formulas for triangles, parallelograms, and trapezoids, and then apply them to find areas of irregular figures.
Explore relationships between the parts of a circle in order to discover the formulas for finding the circumference and area of circles.
Explore properties of transformations with the purpose of noticing patterns, making generalizations, and developing rules.
8th or High School, Geometry
Can you use transformations to move a triangle onto another if all you know is which measures are the same...and you can't see the triangles?
High School, Algebra
Explore the meaning of absolute value as a distance from zero using a variety of visual representations.
High School, Statistics
Students collect and analyze data to help them predict the longest bungee cord that Barbie can use safely.