1st Grade · Math · Domain guide

Geometry in 1st Grade (1.G Standards): Shapes and Equal Shares1.G Standards

Short answer. First grade geometry asks a sneaky-smart question: what makes a triangle a triangle? Not its color, not its size, not which way it points. Only the closed shape and the three sides count. Your child learns to sort defining features from surface ones, build and combine shapes (two triangles into a square, blocks into a fort with an actual name), and split circles and rectangles into halves and fourths.

Everything sits in one cluster, 1.G.A, reasoning with shapes and their attributes, but it moves through three distinct steps: defining attributes, composing new shapes from old ones, and partitioning into equal shares. That last standard is the quiet start of fractions. When your child argues that her sandwich half is smaller than yours, she's doing 1.G.A.3.

Grade
1st Grade
Learning level
Subject
Math
Skill area
Standards
3
Skills in this domain
Clusters
1
Related skill groups

Every 1.G standard, in order

Open a code for the official wording, a plain-English answer, what the skill can look like at home, and simple activities. The list below follows the Common Core sequence.

01
Cluster

Reason with shapes and their attributes.

3 standards

  1. 1.G.A.1What Really Makes a Triangle a Triangle (1.G.A.1)

    Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.

  2. 1.G.A.2Building New Shapes From Smaller Shapes (1.G.A.2)

    Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

  3. 1.G.A.3Halves, Fourths, and Quarters of Shapes (1.G.A.3)

    Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

More than a standards list

Use the framework guide for context, the learning hub for explanations, or printable practice when your child is ready to work on a skill.

1.G is part of the Common Core State Standards. Whizki keeps official wording separate from parent-friendly explanations.

All Common Core parent guides

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