Students identify, describe, analyze, compare, and compose two- and three- dimensional shapes. Counting, addition, and subtraction are revisited in the geometric contexts.
Unit Narrative
In this unit, students explore solid shapes while reinforcing their knowledge of counting, number writing and comparison, and flat shapes. They compose figures with pattern blocks and continue to count up to 20 objects, write and compare numbers, and solve story problems.
In an earlier unit, students investigated two-dimensional shapes. They named shapes (circle, triangle, rectangle, and square) and described the ways the shapes are different. Students used pattern blocks to build larger shapes and used positional words (above, below, next to, beside) along the way.
Here, students distinguish between flat and solid shapes before focusing on solid shapes. They consider the weights and capacities of solid objects and identify solid shapes around them.
Geoblocks, connecting cubes, and everyday objects are used throughout the unit. Standard geoblock sets do not include cylinders, spheres, and cones. When these shapes are required, “solid shapes” are indicated as required materials. If solid shapes are not available, students can work with everyday items that represent each shape.
The mathematical names cube, cone, sphere, and cylinder are introduced in this unit; however, students are not expected to use the names of solid shapes. Students can and are encouraged to continue to use their own language to describe and identify solid shapes.
3 cones
4 cubes
5 cylinders
How many shapes did you use all together?
The work here prepares students to identify defining attributes of shapes and to use flat and solid shapes to create composite shapes in grade 1.
This section introduces students to solid shapes. Students begin by distinguishing solid shapes from flat shapes. They then learn about weight as an attribute of solid shapes and compare weights. They also work with tactile materials or objects to develop their understanding of three-dimensional shapes.
Throughout the section, students hear and use the terms “flat” and “solid” to describe two- and three-dimensional shapes. They also use their own language to talk about shapes. When comparing weights, the terms “heavy,” “light,” “heavier,” and “lighter” are used. While students are introduced to the names of solid shapes, they are not expected to use the formal terms. For example, they may say “ball” to refer to a sphere.
Initially, students build solid shapes with clay. Later, they do so out of given components, using positional words and the names of shapes as they build and describe their creations. They also compare, sort, and describe attributes of solid shapes.
At the end of the section, students create a model of their classroom and use solid shapes to represent objects in their world.
Count and compare numbers, and solve story problems involving shapes.
Section Narrative
In this section, students strengthen their understanding of number concepts while working with pattern blocks. The work here allows the teacher to ensure that students have proficiency in counting and counting out to 20, writing and comparing numbers, and solving story problems.
In solving story problems, students match equations to the quantities in the problems, and complete equations so that they match the problems. For the first time, they hear equations read with the term “equals” rather than “is.” For example, is read “9 minus 3 equals 6.” In this section, students see equations written with both the total written first and the addends written first.
Students consider ways to make the number 10 in the context of building shapes and completing puzzles with pattern blocks. Along the way, they think about attributes of pattern blocks.