EXAMPLE 01A parent walkthrough
Find the equation of the circle with center (2, -1) and radius 5
Show them: Use (x-h)² + (y-k)² = r²
Say: Substitute h=2, k=-1, r=5
Say: (x-2)² + (y+1)² = 25
FINAL ANSWER
(x-2)² + (y+1)² = 25
MATH LEVEL M
Trigonometry & Coordinate Geometry — Level M Parent Guide
Last updated:
Trigonometric functions and graphs, equations of straight lines and circles.
Grade 12+ · approximate gradeTHE DEFINITION
What is Kumon Math Level M?
Kumon Math Level M (Trigonometry & Coordinate Geometry) is the 18th of 21 levels in the Kumon math program, where children learn trigonometric functions and graphs, equations of straight lines and circles. It typically aligns with grade 12+ schoolwork, though Kumon places children by ability rather than age, so the grade is a guide, not a rule.
Level M builds directly on Math Level L: Logarithms & Sequences and prepares children for Math Level N: Limits & Differentiation. It is one of 21 Kumon math levels covered in this independent parent guide series.
This is an independent parent guide, not an official curriculum or placement assessment. Topics and pace can vary; your child’s instructor can confirm their current work.
- Graph sine and cosine functions
- Find the equation of a line
- Use circle equation (x-h)² + (y-k)² = r²
- Solve trigonometric equations
- Apply distance and midpoint formulas
How do I help my child with Level M?
Work through one example together, then let your child try the next one alone. A few small problems to try together — let your child attempt each first, then use these prompts when they need a nudge.
Original examples in Kumon style, written for parents — not scanned worksheets.
EXAMPLE 02A parent walkthrough
Solve sin x = 1/2 for 0° ≤ x < 360°
Show them: Reference angle: sin⁻¹(1/2) = 30°
Say: Sine positive in Q1 and Q2
Say: x = 30° or 150°
FINAL ANSWER
x = 30°, 150°
How can parents support Level M?
Short, calm, and daily beats long and pressured. These small habits make Level M stick — pick one and start tonight.
Draw the unit circle — everything in trig lives there
Circle equations: read center and radius straight off
CAST diagram for which trig functions are positive
A LITTLE MORE CLARITY