Mathnasium Lakeland Highlands

Math stories from our center, built for students and families.

Mathnasium Journal shares clear explanations, interactive visuals, and take-home ideas from Mathnasium Lakeland Highlands.

Featured Post
Hexagon With Three Unit Circles

Area inside the hexagon, outside the circles

A symmetry-first geometry derivation for a regular hexagon with unit circles centered at alternating vertices.

A=23πA=2\sqrt{3}-\pi

geometrysymmetryarea
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Student-first explanations

Short posts focused on clarity and confidence.

Center-inspired visuals

Interactive models connected to what we teach.

Family-friendly resources

Ideas parents and students can revisit anytime.

Tool Spotlight

Two featured tools that make abstract ideas easier to see.

Latest Posts

Recent notes and visuals from Mathnasium Journal.

combinatoricscountinglattice paths
Counting Up-Right Paths on a Grid

From (n,n) symmetry to the general (m,n) counting rule

Use Manhattan distance, binomial coefficients, and an interactive path builder to count right-up lattice paths.

(m+nm)\binom{m+n}{m}

March 1, 2026 7 min
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geometrytransformationsdesmos
Reflection Over a Line

Visualizing geometric reflection with an interactive graph

Explore how points mirror across a line using an embedded Desmos construction.

Pref=P2(PP0)nn2nP_{ref} = P - 2\frac{(P-P_0)\cdot n}{\|n\|^2}n

February 28, 2026 3 min
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combinatoricsfractalsnumber theory
Pascal Triangle Patterns Mod n

Combinatorics turns into geometry

A visual study of binomial coefficients modulo small integers, revealing symmetry and fractal-like motifs.

(a+b)n=k=0n(nk)ankbk(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k

February 21, 2026 6 min
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trigonometryanimationgeometry
Lissajous Curves And Harmonic Motion

When frequency ratios draw art

Animated parametric curves show how tiny ratio shifts transform shape, rhythm, and symmetry.

x=sin(at+δ),  y=sin(bt)x = \sin(at+\delta),\; y = \sin(bt)

February 14, 2026 5 min
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