SparkyStudy Guides
Get iOS App
Free Visual Learning Guides

Master Any Concept.
One Step at a Time.

Clear visual explanations, worked homework examples, formulas, and memory tricks designed for students and parents.

Mathematics
5 min read

How to Solve Long Division: Step-by-Step Guide with Examples

Master long division in 4 simple steps: Divide, Multiply, Subtract, Bring Down. Includes worked examples, remainders, and practice tips.

Dividend = (Divisor Γ— Quotient) + Remainder
Grades 4–6Read Guide
Mathematics
4 min read

How to Multiply Fractions: Easy 3-Step Guide with Examples

Learn how to multiply fractions step-by-step. Straight-across numerator and denominator multiplication with simplification tips.

ab Γ— cd = a Γ— cb Γ— d
Grades 4–7Read Guide
Mathematics
5 min read

Order of Operations (PEMDAS): The Complete Guide with Examples

Master PEMDAS with simple examples and rules. Learn parentheses, exponents, multiplication, division, addition, and subtraction.

P β†’ E β†’ (M / D) β†’ (A / S)
Grades 5–8Read Guide
Mathematics
6 min read

How to Solve Math Word Problems: Step-by-Step Guide with Examples

Master math word problems step-by-step. Discover math clue words, the C.U.B.E.S. strategy, worked examples from elementary to algebra, and practice tips.

Read Twice β†’ Identify Question β†’ Translate Clue Words to Operations β†’ Solve \& Check
Grades 3–8Read Guide
Mathematics
6 min read

How to Solve Ratios and Proportions: Step-by-Step Visual Guide

Learn how to solve ratios and proportions step-by-step. Discover cross-multiplication, ratio word problems, tape diagrams, and worked examples.

If ab = cd, then a Γ— d = b Γ— c
Grades 5–8Read Guide
Mathematics
5 min read

How to Solve Fractions with Whole Numbers: Add, Subtract, Multiply & Divide

Master solving fractions with whole numbers. Step-by-step visual guide for multiplying, dividing (Keep-Change-Flip), adding, and subtracting fractions with integers.

W = W1 ⟹ W1 Γ— ab = W Γ— ab
Grades 4–7Read Guide
Mathematics
6 min read

How to Find the Mean: Step-by-Step Guide with Worked Examples

Learn how to find the mean step-by-step. Discover the mean formula, worked examples with decimals and negative numbers, and interactive practice.

Mean (\bar{x}) = Sum of all valuesTotal count of values = \sum xn
Grades 5–8Read Guide
Mathematics
7 min read

How to Convert Fractions to Decimals: Step-by-Step Guide with Examples

Learn how to convert fractions to decimals step-by-step. Discover the division method, power of 10 shortcuts, repeating decimal bar notation, and practice.

Fraction to Decimal = NumeratorDenominator = Numerator Γ· Denominator
Grades 5–8Read Guide
Mathematics
8 min read

How to Find Surface Area: Step-by-Step Guide with Visual Formulas

Learn how to find surface area step-by-step. Discover surface area formulas for rectangular prisms, cylinders, and cubes with nets, examples, and practice.

Rectangular Prism: SA = 2(lw + lh + wh) | Cylinder: SA = 2\pi r2 + 2\pi rh
Grades 6–9Read Guide
Mathematics
6 min read

How to Find the Y-Intercept: Step-by-Step Guide for Equations & Graphs

Learn how to find the y-intercept from an equation or graph. Step-by-step guide with formulas for slope-intercept form (y = mx + b), standard form (Ax + By = C), and graphs.

Slope-Intercept: y = mx + \mathbf{b} | Universal Rule: Set x = 0 and solve for y
Grades 7–10Read Guide
Mathematics
8 min read

How to Complete the Square: Step-by-Step Guide with Worked Examples

Learn how to complete the square step-by-step. Discover the magic formula (b/2)Β², worked examples when a = 1 and a > 1, and interactive quadratic practice.

The Magic Number: (b2)2 ⟹ x2 + bx + (b2)2 = (x + b2)2
Grades 8–11Read Guide
Mathematics
5 min read

How to Divide Fractions with Whole Numbers: The Easy Step-by-Step Guide

Learn how to divide fractions with whole numbers step-by-step. Easy guide to Keep-Change-Flip, visual diagrams, simplifying remainders, and interactive practice.

\mathbf{Keep} (ab) \mathbf{Change} (Γ· β†’ Γ—) \mathbf{Flip} (c1 β†’ 1c) = ab Γ— c
Grades 5–7Read Guide
Mathematics
7 min read

How to Solve Inequalities Step-by-Step: The Complete Guide

Learn how to solve inequalities step-by-step. Discover when to flip the inequality sign, how to graph open vs closed circles, worked examples, and interactive practice.

The Golden Rule: -cx < d ⟹ x > -dc (Divide by negative ⟹ FLIP < to >)
Grades 7–10Read Guide
Mathematics
9 min read

How to Solve Systems of Equations: Substitution & Elimination Step-by-Step

Learn how to solve systems of equations step-by-step using substitution and elimination. Worked examples, decision flowcharts, and interactive practice.

Substitution: y = mx + b β†’ Plug into Eq 2 | Elimination: (Ax + By) + (Cx - By) = Cancel y
Grades 8–11Read Guide
Mathematics
6 min read

How to Solve for X in Two-Step Equations: Step-by-Step Guide

Learn how to solve for x in two-step equations step-by-step. Discover inverse operations, reverse PEMDAS (SADMEP), fractions, negatives, and interactive practice.

ax + b = c ⟹ Step 1: ax = c - b ⟹ Step 2: x = c - ba
Grades 6–9Read Guide
Science
7 min read

How to Balance Chemical Equations: Step-by-Step Guide with Examples

Learn how to balance chemical equations step-by-step. Discover the atom inventory method, polyatomic ion tips, worked examples, and interactive chemistry practice.

Law of Conservation of Mass: \sum Atoms_{Reactants} = \sum Atoms_{Products}
Grades 8–11Read Guide
Science
7 min read

How to Calculate Molarity: Step-by-Step Chemistry Guide

Learn how to calculate molarity step-by-step. Discover the molarity formula (M = moles/liters), grams to moles conversions, dilutions, and interactive practice.

M = moles of soluteliters of solution = nV \vert Dilution: M_1 V_1 = M_2 V_2
Grades 9–12Read Guide
Science
6 min read

How to Find Molar Mass: Step-by-Step Chemistry Guide

Learn how to calculate molar mass step-by-step. Discover how to use the periodic table, handle parentheses in formulas like Ca(NO3)2, hydrates, and interactive practice.

Molar Mass = \sum (Subscript of Element Γ— Atomic Mass from Periodic Table)
Grades 8–11Read Guide
Science
7 min read

How to Solve Half-Life Problems: Step-by-Step Chemistry Guide

Learn how to solve half-life problems step-by-step. Discover the decay formula (N = N0 Γ— (1/2)^n), table method, finding remaining mass, and interactive practice.

N_t = N_0 (12)n where n = Total Elapsed Time (t)Half-life Duration (t_{1/2})
Grades 9–12Read Guide
Science
9 min read

How to Solve Stoichiometry Problems: Step-by-Step Chemistry Guide

Learn how to solve stoichiometry problems step-by-step. Discover the 3-step mole bridge (Grams A β†’ Moles A β†’ Moles B β†’ Grams B), limiting reactants, and practice.

Grams A \xrightarrow{Γ· MM_A} Moles A \xrightarrow{Γ— coeff Bcoeff A} Moles B \xrightarrow{Γ— MM_B} Grams B
Grades 10–12Read Guide
Science
6 min read

How to Solve Density Problems: Mass, Volume & the Density Triangle

Learn how to solve density problems step-by-step. Discover the density triangle formula (D = m/V), how to solve for volume and mass, water displacement, and interactive practice.

D = mV \vert m = D Γ— V \vert V = mD
Grades 6–10Read Guide
Science
7 min read

How to Solve Punnett Squares: Step-by-Step Genetics Guide

Learn how to solve Punnett squares step-by-step. Discover dominant vs recessive alleles, homozygous vs heterozygous crosses, genotype ratios, and interactive genetics practice.

Probability of Offspring = Number of Matching Boxes4 Γ— 100%
Grades 7–10Read Guide
Science
6 min read

How to Calculate Microscope Magnification: Total Power & the IAM Triangle

Learn how to calculate microscope magnification step-by-step. Discover total magnification (eyepiece Γ— objective), the IAM triangle (I = A Γ— M), mm to Β΅m conversions, and practice.

Total Magnification = Ocular Lens Γ— Objective Lens \vert I = A Γ— M
Grades 7–12Read Guide
Best on iPhone & iPad
Native Camera & Voice Tutor

Stuck on this exact problem? Experience Sparky in the iOS App!

Skip typing out equations! Download the official Sparky Club iOS App to snap a photo of your math or science worksheet with your camera and talk through every step out loud with Sparky’s real-time voice tutor.

Instant Camera OCR
Hands-Free Voice Mode
100% Kid-Safe & Free
Download Free on the
App Store
Sparky iOS Appβ˜…β˜…β˜…β˜…β˜…

Snap homework photos & use Voice Tutor