Phi Learning — WorldWiseKids
Concept Library

Study Concepts

Search and filter clear explanations across everything we teach — reading, math, physics, study skills, and hands-on outdoor and kitchen projects.

Showing 45 concepts.

Reading and WritingVocabulary

Vocabulary in Context

Using the surrounding words, sentences, and tone of a passage to determine the meaning of an unfamiliar word — or which sense of a familiar word the author intends.

context cluesvocabularydictionsatact
Reading and WritingComprehension

Making Inferences

An inference is a logical conclusion drawn from evidence in the text combined with your own reasoning — what the author implies without stating it outright.

inferencetext evidenceclose readingimplication
Reading and WritingLiterary Analysis

Theme vs. Main Idea

The main idea is what a text is about; the theme is the deeper message about life or human nature the author conveys through it.

thememain ideacentral idealiterature
Reading and WritingAnalysis

Tone, Mood and Diction

Tone is the author’s attitude toward the subject; mood is the feeling the reader experiences; diction is the word choice that creates both.

tonemooddictionword choiceauthor's attitude
Reading and WritingRhetoric

Ethos, Pathos and Logos

The three classical appeals a writer or speaker uses to persuade an audience: ethos (credibility), pathos (emotion), and logos (logic and evidence).

rhetoricethospathoslogospersuasionargument
Reading and WritingWriting

Thesis Statements

A thesis is a single sentence stating the main argument of an essay — a specific, debatable claim the rest of the paper sets out to prove.

thesisessay writingargumentclaim
MathFoundations

Pre-Algebra

The bridge from arithmetic to algebra: working confidently with fractions, decimals, percents, and negative numbers, mastering the order of operations, and meeting the first variables.

pre-algebrafractionsintegersorder of operationspemdas
MathCore

Algebra 1

The core language of algebra: solving linear equations and inequalities, working with variables and expressions, and graphing lines.

algebra 1linear equationsslopegraphingvariables
MathCore

Geometry

The study of shapes, sizes, angles, and space — lines, triangles, and circles, area and volume, and logical proofs.

geometryshapesanglesproofsareapythagorean theorem
MathAdvanced

Algebra 2

Algebra taken further: quadratic, polynomial, exponential, and logarithmic functions, plus more advanced equation-solving and graphing.

algebra 2quadraticsfunctionsexponentslogarithmspolynomials
MathAdvanced

Trigonometry

The mathematics of triangles and angles: the sine, cosine, and tangent ratios, the unit circle, and periodic (wave) functions.

trigonometrysinecosinetangentunit circlesohcahtoa
MathPre-College

Pre-Calculus

The preparation for calculus: deep work with functions and their graphs, advanced trigonometry, and a first look at limits.

pre-calculusfunctionslimitsgraphssequences
MathPre-College

Calculus

The mathematics of change: derivatives (instantaneous rates of change) and integrals (accumulated totals), both built on the idea of a limit.

calculusderivativesintegralslimitsrates of change
PhysicsMechanics

Kinematics Equations

A set of equations relating displacement, velocity, acceleration, and time for motion with constant acceleration.

motionvelocityaccelerationconstant acceleration
PhysicsMechanics

Newton’s Second Law

The net force on an object equals its mass times its acceleration.

forcemassaccelerationF=ma
PhysicsEnergy

Work and Kinetic Energy

Work is force applied over a distance; kinetic energy is the energy of motion. Net work changes an object’s kinetic energy.

workenergyjouleskinetic energy
PhysicsMechanics

Momentum and Conservation

Momentum is mass in motion. In a closed system, total momentum stays the same before and after a collision.

momentumcollisionsconservation
PhysicsElectricity

Ohm’s Law

The voltage across a resistor equals the current through it times its resistance.

voltagecurrentresistancecircuits
Study SkillsFocus

The Pomodoro Technique

A time-management method: work in focused 25-minute blocks separated by 5-minute breaks, with a longer break after every fourth block.

time managementfocusprocrastinationadhd
Study SkillsPlanning

Chunking Big Tasks

Breaking a large, vague task into small, concrete, do-able steps.

task initiationexecutive functionoverwhelm
Study SkillsMemory

Active Recall

Studying by retrieving information from memory — testing yourself — rather than re-reading or highlighting.

retrieval practicestudyingmemoryflashcards
Study SkillsMemory

Spaced Repetition

Reviewing material at increasing intervals over time instead of cramming it all at once.

spacingreviewforgetting curveanki
Study SkillsPlanning

Time-Blocking and Planners

Assigning specific tasks to specific time slots on a calendar, and writing your to-dos down instead of holding them in your head.

schedulingplannerworking memoryorganization
Outdoor ProjectsGardening

Gardening and Growing Plants

Planting, tending, and harvesting plants — understanding what a seed needs to become a healthy plant: sun, water, soil, and time.

gardeningbotanical gardenplantssoiloutdoor
Outdoor ProjectsSustainability

Composting

Turning food scraps and yard waste into rich soil by letting microbes break them down — nature's own recycling system.

compostrecyclingsoildecompositionoutdoor
Outdoor ProjectsWoodworking

Woodworking and Building

Designing and building things by hand from wood — and sometimes setting them with cement — using simple tools, careful measuring, and safe technique.

woodworkingbuildingtoolscementmeasuringoutdoor
Kitchen and CookingFundamentals

Kitchen Basics and Safety

The core habits every cook needs first: safe knife handling, clean hands and surfaces, and reading a recipe before you start.

kitchenknife skillssafetyhygienemeasuring
Kitchen and CookingCooking

Cooking

Using heat and seasoning to turn raw ingredients into a finished dish — and learning to taste and adjust as you go.

cookingheatseasoningrecipestaste
Kitchen and CookingBaking

Baking

Making breads, cakes, and pastries by combining ingredients in precise amounts and baking them — where careful measuring matters more than improvising.

bakingmeasuringratiosleaveningprecision
TechnologyDigital Fabrication

3D Printing

Building a physical object layer by layer from a digital 3D model — the printer melts plastic filament and lays it down one thin slice at a time until the shape is complete.

3d printingtechnologydesigncadfabricationstem
TechnologyLab

Physics Lab

Testing the laws of physics through hands-on experiments — measuring motion, forces, energy, and electricity, and comparing the results to theory.

physics labexperimentmeasurementscientific methodstem
TechnologyLab

Science Lab

A general hands-on workspace for running experiments safely — forming a hypothesis, testing it, and recording what happens, often with chemistry and measurement at the core.

science labexperimenthypothesischemistrysafetystem
TechnologyLab

Biology Lab

Studying living things up close — using microscopes, dissection, and careful observation to explore cells, organisms, and how life works.

biology labmicroscopecellsdissectionobservationstem
TechnologyLab

Chemistry Lab

Exploring how substances combine and change — mixing, heating, and measuring chemicals to observe reactions, and recording the results precisely.

chemistry labreactionsmeasurementsafetyexperimentstem
Art and CraftArt

Drawing

Making images with lines and shading — pencil, pen, or charcoal — by observing shapes, proportions, and the way light falls.

drawingsketchingshadingartcreativity
Art and CraftArt

Painting

Applying color with brushes and paint — watercolor, acrylic, or oil — to build images through hue, value, and texture.

paintingcolorwatercoloracrylicartcreativity
Art and CraftSculpture

Pottery and Clay Modeling

Shaping three-dimensional forms from clay by hand or on a wheel, then firing them so they harden into finished pottery.

potteryclaymodelingsculptureceramicsart
Art and CraftCrafting

Needlework

Decorating or constructing fabric with a needle and thread — embroidery, sewing, and other stitch work.

needleworkembroiderysewingstitchingcrafting
Art and CraftCrafting

Mosaics

Creating images or patterns by arranging and gluing small pieces — tiles, glass, or stone — onto a surface, then filling the gaps with grout.

mosaicstilesgroutpatterncraftingart
Art and CraftCrafting

Crocheting

Making fabric from yarn with a single hooked needle, pulling loops through loops to build up rows of stitches.

crochetyarnstitchesfibercrafting
SportsMovement

Gymnastics

Building strength, flexibility, balance, and body control through exercises like rolls, handstands, and beam work — usually in a gym.

gymnasticsgymbalancestrengthflexibilitysports
SportsTeam Sport

Basketball

A team game where players score by shooting a ball through a raised hoop, moving it up the court by dribbling and passing.

basketballshootingdribblingteamsports
SportsTeam Sport

Soccer

A team sport where players move a ball using their feet and body — never the hands — to score in the opposing goal.

soccerfootballpassingfirst touchteamsports
SportsRacket Sport

Pickleball

A paddle sport blending tennis, badminton, and ping-pong, played with a perforated plastic ball on a small court with a low net.

pickleballpaddlenetdinkkitchensports
SportsTeam Sport

Volleyball

A team sport where two sides rally a ball over a high net, trying to ground it on the opponent's court within three touches.

volleyballpasssetspiketeamsports