MATH LEVEL K

Functions — Level K Parent Guide

Functions, quadratic functions and their graphs, and inequalities.

Grade 11 · approximate grade
THE DEFINITION

What is Kumon Math Level K?

Kumon Math Level K (Functions) is the 16th of 21 levels in the Kumon math program, where children learn functions, quadratic functions and their graphs, and inequalities. It typically aligns with grade 11 schoolwork, though Kumon places children by ability rather than age, so the grade is a guide, not a rule.

Level K builds directly on Math Level J: Advanced Quadratics and prepares children for Math Level L: Logarithms & Sequences. 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.

  • Evaluate f(x) for given x
  • Graph parabolas
  • Solve quadratic inequalities
  • Find domain and range
  • Apply graph transformations
MAKE THE THINKING VISIBLE

How do I help my child with Level K?

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 01A parent walkthrough

If f(x) = 2x² - 3, find f(4)

  1. Show them: Substitute: 2(4)² - 3

  2. Say: 4² = 16, so 2×16 - 3 = 29

  3. Say: f(4) = 29

FINAL ANSWER

29

EXAMPLE 02A parent walkthrough

Solve: x² - 4 < 0

  1. Show them: Factor: (x-2)(x+2) < 0

  2. Say: Sign chart: negative between -2 and 2

  3. Say: -2 < x < 2

FINAL ANSWER

-2 < x < 2

SUPPORT, NOT PRESSURE

How can parents support Level K?

Short, calm, and daily beats long and pressured. These small habits make Level K stick — pick one and start tonight.

f(x) is just a fancy name for y

Parabolas: find the vertex first, everything follows

Inequalities need sign charts, not just solving

A LITTLE MORE CLARITY

Questions parents ask about Level K

Which parent guides help with Level K?