Niko makes a necklace by repeating the same four-jewel pattern: ruby, sapphire, sapphire, emerald.
The first jewel is a ruby. Niko stops after placing 19 jewels.
Show how you know without drawing all 19 jewels.
Teacher & family guide
Grade 3 · Patterns and algebra · Repeating patterns · Sequences
MathJewels rates content readiness, problem-solving challenge, and workload separately. These estimates describe the easiest reasonable solution path and do not reveal the solution.
Content level
Grade 3 progression · point 8
Challenge
A nontrivial plan using familiar mathematical ideas.
Workload
Several coordinated calculations, representations, or explanation steps.
Learning focus
What a successful response demonstrates, with each skill’s share of the content rating.
Use the length and order of a repeating cycle to determine the element at a later numbered position without listing every preceding element.
Scale the category counts in one complete cycle and account for a partial final cycle to count each category in a finite repeating pattern.
Readiness
Skills the rating assumes are already available to the learner.
Use the length and order of a repeating cycle to determine the element at a later numbered position without listing every preceding element.
