Rhode Island Grade 3 Math

Why multiples of six are even

Consider 6 × 3 = 18, 6 × 4 = 24, 6 × 5 = 30, and 6 × 6 = 36. Each product is even. Explain the pattern using equal groups rather than relying only on these four examples.

Follow the reasoning

Split a group of six into two equal groups of three. Three groups of six can be rearranged as 9 + 9 = 18; four groups give 12 + 12 = 24. In general, a whole number of groups of six can be split into two equal collections: 6 × n = (3 × n) + (3 × n). A total arranged as two equal whole-number groups is even. This explains the pattern for every whole-number multiplier, including zero, instead of only checking the listed products.

What the examples do not prove

Four correct products suggest a pattern, but more examples alone do not explain why it continues. The equal-group rearrangement supplies the reason. The products are not all multiples of twelve: 18 and 30 are counterexamples. Being even and being a multiple of twelve are different conditions.

Try the next step

Predict whether 6 × 17 is even without first calculating its total. Describe two equal groups of 3 × 17. Then calculate to check: 51 + 51 = 102. Draw a smaller example if the rearrangement is hard to picture.

Selected Rhode Island mathematics reference

The Rhode Island mathematics page identifies the Rhode Island Core Standards endorsed March 9, 2021. The linked 2021 mathematics document adapts the 2017 Massachusetts framework. Use the actual Rhode Island clause and its surrounding grade expectations when planning instruction; a generic Common Core code list alone does not establish the same state requirements.

This original worked activity develops one selected focus. It is not the complete grade curriculum or a certified alignment of every independently published learning resource. Read the other grade expectations and the school’s actual course sequence.

Choose a next task from the student’s explanation

Use a different set of numbers to check whether the student can explain the same relationship. If the explanation is unclear, return to the model; if the reasoning is sound but a calculation is wrong, work through a shorter calculation and check it against the model. Use the related learning resources alongside the teacher’s assigned goals.

Rhode Island’s RICAS overview lists English language arts and mathematics in Grades 3–8, including Grade 3. Follow the school’s assigned dates and current assessment directions. An independent practice resource has its own tools, timing, question count, and scoring; its result does not establish a state performance level. Read the current RICAS overview.

State sources and the selected complete PDF page checked October 6, 2026. Confirm later guidance and local assignments before planning assessment preparation.