- Math questions with free videos showing you how to get the right answer
- Easy to use - we believe learning and practicing math should be as simple as possible
- Test practice questions to prepare you for the big day
- 100%
**Free**

...or get ready by downloading kjaro graph paper

## The kjaro philosophy

Math doesn't have to be complicated.

Here's our simple concept:

- Find the area you're having trouble with
- Try a question or two
- Watch video walk-throughs to check your work
- Repeat

Visit regularly and work at your own pace to stay on top of what's covered in class. Then drop in for some last-minute studying before test day.

Try it out: **kjaro** could be the edge you need for that next test or exam!

## Dear Math Teachers and Students,

Kjaro was successfully used to assist with independent study in a classroom pilot project for a summer program.

Kjaro is intended to complement your classroom lessons as a homework and study aid.

We want to hear from you! Send us your comments. Please contact us.

## What subjects does kjaro cover?

Great question! Click on a button below to see the list of math topics covered in that grade

Grade 10Grade 11- Linear Systems (Grade 10)
- Linear Systems (Solve by Graphing)
- Linear Systems (Special Case)
- Linear Systems (Substitution)
- Linear Systems (Elimination)
- Linear Systems (Fraction and Decimals)
- Linear Systems (General Word Problems)
- Linear Systems (Investment Problems)
- Linear Systems (Mixture Problems)
- Linear Systems (Money Problems)
- Linear Systems DST (Two Part Trip)
- Linear Systems DST (Current \ Wind)
- Linear Systems DST (Two Different Times)
- Analytic Geometry (Grade 10)
- Length of a Line Segment (Analytic Geometry)
- Midpoint of a Line Segment
- Equation of a Circle
- Slope of a Line Segment
- Equations of Lines (Part 1)
- x-intercept, y-intercept & Slope (Parallel and Perpendicular)
- Equations of Lines (Part 2)
- Equations of Lines (Medians and Centroids)
- Equations of Lines (Altitudes and Orthocentres)
- Equations of Lines (Perpendicular / Right Bisectors and Circumcentre)
- Distance from a Point to a Line
- Polynomials (Grade 10)
- Adding and Subtracting Polynomials
- Multiplying Monomials (Exponent Laws)
- Dividing Monomials (Exponent Laws)
- Multiplying (Monomial $\times$ Polynomial)
- Expanding and Simplifying Polynomial Expressions (Part 1)
- Multiplying Binomials (FOIL)
- Special Products (Squaring Binomials)
- Special Products (Product of Sum and Difference)
- Expanding and Simplifying Polynomial Expressions (Part 2)
- Factoring (Grade 10) (Grade 11)
- Common Factoring
- Binomial Common Factoring
- Factoring by Grouping (Part 1)
- Trinomial Factoring (a=1)
- Trinomial Factoring (a$\neq$1) (Magic Box)
- Factoring Perfect Square Trinomials
- Factoring Difference of Squares
- Factoring by Grouping (Part 2)
- Quadratic Functions (Grade 10)
- Graphing Quadratic Functions (Vertex Form)
- Quadratic Functions (Word Problems Part 1)
- Quadratic Functions (Complete the Square)
- Quadratic Functions (Word Problems Part 2)
- Quadratic Equations (Grade 10)
- Quadratic Equations (Solve by Factoring)
- Quadratic Equations (Word Problems Part 1)
- Quadratic Equations (Solve using the Quadratic Formula)
- Quadratic Equations (Word Problems Part 2)
- Trigonometry (Grade 10)
- Similar Triangles
- Using Your Calculator
- sohcahtoa $(S=\frac{O}{H},\;C=\frac{A}{H},\;T=\frac{O}{A})$
- Word problems (Part 1) (Trigonometry)
- Solving Triangles (Advanced Trigonometry) (Two Triangles)
- Sine Law $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ or $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{sin C}{c}$
- Cosine Law (Unknown side - SAS) $a^2=b^2+c^2-2(b)(c)(\cos A)$
- Cosine Law (Unknown Angle - SSS) $\cos A=\frac{b^2+c^2-a^2}{2bc}$

- Exponent Laws (Grade 11)
- Exponent Law for Multiplication
- Exponent Law for Division
- Zero Exponent Property
- Negative Exponents
- Power Law and Mixed Exponent Practice
- Advanced Exponent Work
- Rational (Fraction) Exponents (Part 1)
- Rational (Fraction) Exponents (Part 2)
- Solving Exponential Equations (Part 1)
- Solving Exponential Equations (Part 2)
- Exponential Growth (Doubling Time) $A_{t}=A_{0}(2)^{\frac{t}{d}}$
- Exponential Growth (% increase/appreciation) $A_{t}=A_{0}(1+i)^n$
- Exponential Decay (Half-Life) $A_t=A_0(\frac{1}{2})^\frac{t}{h}$
- Exponential Decay (% decrease/depreciation) $A_t=A_0(1-i)^n$
- Rational Expressions (Grade 11)
- Simplifying Polynomials Review
- Factoring Review
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions (Part 1)
- Adding and Subtracting Rational Expressions (Part 2)
- Sequences and Series (Grade 11)
- Recursion Formulas (Sequences)
- Arithmetic Sequences $t_n=a+(n-1)d$
- Geometric Sequences $t_n=a(r)^{n-1}$
- Arithmetic Series $S_n=\frac{n}{2}[2a+(n-1)d]$ or $S_n=\frac{n}{2}(a+t_n)$
- Geometric Series $S_n=\frac{a(r^n-1)}{r-1}$
- Financial Math (Grade 11)
- Financial Math - Simple Interest ($I=Prt$)
- Financial Math - Compound Interest - Amount / Present value $A=P(1+\frac{i}{c})^{(tc)}$
- Amount of an Annuity (Annuity "IN") $A=\frac{R[(1+\frac{i}{c})^{tc}-1]}{(\frac{i}{c})}$
- Present Value of an Annuity (Annuity "OUT") $P=\frac{R[1-(1+\frac{i}{c})^{-tc}]}{(\frac{i}{c})}$
- Radicals (Grade 11)
- Radicals (Part 1) (Adding and Subtracting)
- Radicals (Part 2) (Multiplying and Dividing)
- Radicals (Part 3) (Complex Numbers - Imaginary Numbers "$i$")
- Radicals (Part 4) (Rationalizing Denominators) (Radicals and Complex) (Conjugates)
- Quadratic Equations (Grade 11) (Grade 10)
- Solving Quadratic Equations (Quadratic Formula, Radicals and Complex / Imaginary Roots)
- Solving Quadratic Equations (Word Problems)
- Linear - Quadratic Systems
- The Discriminant ($b^2-4ac$) (Nature/Number of Roots)
- Solving for Maximum / Minimum (Complete the Square)
- Solving for Maximum / Minimum (Word Problems)
- Functions and Graphing Transformations (Grade 11)
- Function Notation [ $f(x), g(x)$ ] (Functions)
- Inverse of a Function ( $f^{-1}(x)$ )
- Graphing $y=|x|$ and its Transformations
- Graphing $y=\sqrt{x}$ and its Transformations
- Graphing $y=\frac{1}{x}$ and its Transformations
- Trigonometry (Grade 11)
- Radians $\Leftrightarrow$ Degrees Conversions (Trigonometry)
- Unit Circle, CAST, Quadrants, Exact Values and Special Triangles (Part 1)
- Unit Circle, CAST, Quadrants, Exact Values and Special Triangles (Part 2)
- Solving Trigonometric Equations - Degrees (Part 1)
- Solving Trigonometric Equations - Degrees (Part 2)
- Solving Trigonometric Equations - Radians (Part 1)
- Solving Trigonometric Equations - Radians (Part 2)
- Trigonometric Identities ( Trig Identities )
- Solving Trigonometric Equations with Identities - Degrees and Radians
- Graphing Trigonometric Functions - Degrees
- Graphing Trigonometric Functions - Radians
- Finding the Equations of Trigonometric Functions - Degrees (Part 1)
- Finding the Equations of Trigonometric Functions - Degrees (Part 2)
- Finding the Equations of Trigonometric Functions - Radians (Part 1)
- Finding the Equations of Trigonometric Functions - Radians (Part 2)
- Finding the Equations of Trigonometric Functions - Word Problems (Degrees)
- Finding the Equations of Trigonometric Functions - Word Problems (Radians)