An instructional routine where students mentally solve problems, share their thinking, and defend their strategies. Students reason about numbers while building connections to key conceptual ideas within mathematics. The goal is to develop fluency, or accurately, efficiently, and flexibly solve problems.
Routine for developing efficient, flexible, and accurate computation strategies that build upon the key foundational ideas of mathematics (composition/decomposition, base ten system and application of properties)
Provides opportunities to build mathematical discourse
A students foundation based on memorization crumbles when they are called to generalized arithmetic relationship in middle school and algebra courses.
(Although the number talks are categorized by grade level, they should not be used as rigid structures but as fluid components base on student need.)
Fractional Reasoning: Equal Parts
Reasoning about Equivalence using Area Models (1/2)
Reasonings about Equivalence using Area Models (1/4)
Reasonings about Equivalence using Set Models (1/2)
Using Linear Models (number lines) to Build Fractional Reasoning: Using Benchmark Fractions (Fourths)
Using Linear Models to Build Fractional Reasoning: Using Benchmark Fractions (Eighths)
Use this ten frame dot example to create your own! Click here to open in a new window, then click file, make a copy.