• 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
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## The kjaro philosophy

Math doesn't have to be complicated.

Here's our simple concept:

1. Find the area you're having trouble with
2. Try a question or two
3. Watch video walk-throughs to check your work
4. 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.

## What subjects does kjaro cover?

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

• 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)
• 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
• 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)
• 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)
• Graphing Quadratic Functions (Vertex Form)
• Quadratic Functions (Word Problems Part 1)
• Quadratic Functions (Complete the Square)
• Quadratic Functions (Word Problems Part 2)
• Quadratic Equations (Solve by Factoring)
• Quadratic Equations (Word Problems Part 1)
• Quadratic Equations (Word Problems Part 2)
• Similar Triangles
• 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 Law for Multiplication
• Exponent Law for Division
• Zero Exponent Property
• Negative Exponents
• Power Law and Mixed Exponent Practice
• 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) $A_t=A_0(1-i)^n$
• 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 - 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 (Part 2) (Multiplying and Dividing)
• Radicals (Part 3) (Complex Numbers - Imaginary Numbers "$i$")
• Solving Quadratic Equations (Word Problems)
• 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
• 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)