California STEM standards: hands-on mechanical engineering activities

California Standards Mapping

Teachers can use Toyineer projects to address selected California Next Generation Science Standards and California Common Core Mathematics Standards through hands-on mechanical construction.

Alignment reviewed October 2026.

Executive summary

Teachers can use Toyineer projects to address California academic standards by giving learners physical systems they can construct, observe and explain. Learners can compare the effects of different pushes and pulls (K-PS2-1), investigate balanced and unbalanced forces in a working mechanism (3-PS2-1), and observe repeatable motion patterns that allow future movement to be predicted (3-PS2-2). They also transform flat printed components into three-dimensional structures (K.G.3) and combine individual forms into larger composite objects (1.G.2). The completed toy provides visible, hands-on evidence for classroom discussion of force, motion, geometry, spatial reasoning and interacting mechanical components. Toyineer projects are hands-on engineering activities that teach mechanics, geometry, spatial reasoning and technical problem solving through the construction of working mechanical toys. Video instruction and clear assembly guides support independent and classroom use while keeping educator preparation minimal.

Standards and evidence.

These alignments use only the ordinary Toyineer construction process. They do not depend on a separate extension activity.

I. California Next Generation Science Standards: Forces and Motion

KindergartenK-PS2-1

Compare how different strengths or directions of pushes and pulls affect the motion of an object.

During ordinary assembly and testing, learners push and pull moving components and can compare how changes in direction or relative effort affect the resulting motion.

Grade 33-PS2-1

Investigate the effects of balanced and unbalanced forces on the motion of an object.

Toyineer mechanisms make balanced and unbalanced forces visible. Learners can observe a mechanism at rest, apply force, and explain why a part begins moving, stops or changes direction.

Grade 33-PS2-2

Use observations or measurements of motion as evidence that a recurring pattern can be used to predict future motion.

Rockers, followers, push rods and other constrained components follow repeatable paths. Learners can observe one cycle of a working toy and predict where or in which direction the moving part will travel next.

II. California Common Core State Standards: Mathematics — Geometry

KindergartenK.G.3

Identify shapes as two-dimensional (flat) or three-dimensional (solid).

Toyineer begins with flat printed parts and transforms them into three-dimensional structures, giving educators a direct physical example of the distinction between 2-D and 3-D form.

Grade 11.G.2

Compose two-dimensional or three-dimensional shapes to create a composite shape.

Learners combine separate cut, folded and assembled components into larger structures and ultimately into one composite mechanical object.

Official standards sources: California Science Standards and California Mathematics Standards.

Hands-on evidence for standards-aligned learning.

Teachers can use Toyineer projects to address these standards. Students also gain skill in their use of tools and appreciate the importance of accuracy in engineering.

All standards pages