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Lesson objective: Understand what it means to compare two groups of objects by building cube towers that have the same and different quantities. Extend understanding that we can use math comparison language, greater than, less than, and equal to, when comparing two groups to one another.
Students bring prior knowledge of comparing from K.MD.1 and K.MD.2 in Unit 8. In these standards students compared measurable attributes to see which has more or less of the attribute. This prior knowledge is extended to comparing groups of objects or sets and using the comparison language greater than, less than, and equal to. A conceptual challenge students may encounter is fully understanding the meaning of the comparison language and using it to describe the work they are doing. Students may find it easier to understand the comparison words, more and greater, since we more commonly say, “Who has more?" Less, less than, fewer, and equal, are less familiar vocabulary to many young students. Modeling with math tools while using the comparison language will help students to develop an understanding of this new terminology.
The concept is developed through work with building blocks or connecting cubes, which helps students see the quantity in each group in order to compare the groups using counting and matching strategies.
This work helps students deepen their understanding of equivalence because students are making a connection between numbers and the quantities they represent. This lesson sets the foundation for understanding what equivalence means. Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they practice working with concrete objects and the numerals they represent. Students will practice using comparison language as they build towers have various quantities. Students may use counting, matching, and visual cues, to help them compare.
During the task solution encourage students to share the towers they made as you model the comparison phrases.
Observe and look for ways students find cube towers that are the same and different. These are strategies they may use:
Key vocabulary:
Special materials needed: