Math
Integers
Open the unit →Fractions
Open the unit →FractionsThe same fractions. Different questions.→Add fractions & mixed numbersOne decision at a time.→Compare & order fractionsOne decision at a time.→Divide fractions & mixed numbersOne decision at a time.→Equivalent fractions & simplest formOne decision at a time.→Mixed numbers & improper fractionsOne decision at a time.→Multiply fractions & mixed numbersOne decision at a time.→Order of operations with fractionsOne decision at a time.→Subtract fractions & regroupOne decision at a time.→Understand fractionsOne decision at a time.→Fraction problems & mathematical decisionsOne decision at a time.→
Rates, Ratios & Proportions
Open the unit →Comparing ratesWorked examples→Converting ratesWorked examples→Equivalent ratiosWorked examples→Proportional problem solvingWorked examples→Rates & unit ratesWorked examples→Understanding ratiosWorked examples→Scale drawings & mapsWorked examples→Sharing in a ratioWorked examples→Solving proportionsWorked examples→Proportional tables & graphsWorked examples→
Percents
Open the unit →Discounts & sale pricesWorked examples→Extreme CouponingA worked market example→Find the percent or the wholeWorked examples→Fractions, decimals & percentsWorked examples→Find percents with mental mathWorked examples→Percent increase & decreaseWorked examples→Understand percentWorked examples→Find the partWorked examples→Resale, profit & better decisionsWorked examples→Percents below 1% & above 100%Worked examples→Successive coupons & percent of a percentWorked examples→Taxes, tips & final totalsWorked examples→
Linear Relations
Open the unit →Algebra tiles & equivalent expressionsFollow the reasoning.→Comparing plans & interpreting modelsFollow the reasoning.→The distributive propertyFollow the reasoning.→Equations with divisionFollow the reasoning.→Tables, coordinates & graphsFollow the reasoning.→Patterns, variables & expressionsFollow the reasoning.→Rate of change & starting valueFollow the reasoning.→Solving equations with balanceFollow the reasoning.→Writing a rule from evidenceFollow the reasoning.→
Square Roots & Pythagorean Theorem
Open the unit →Distance & real-world modelsWorked examples→Estimate square rootsWorked examples→Factors & prime factorizationWorked examples→Find a missing legWorked examples→Find the hypotenuseWorked examples→Multi-step problems & checkingWorked examples→Pythag MappingFrom grid distance to ground distance→Pythag Treasure HuntFrom grid distance to ground distance→The Pythagorean area relationshipWorked examples→Right triangles & Pythagorean triplesWorked examples→Square roots & inverse thinkingWorked examples→Squares & square areaWorked examples→
Surface Area & Volume
Open the unit →Area, units & dimensionsWorked examples→Bentwood BoxesAn invented example→Composite solids & design decisionsWorked examples→Surface area of cylindersWorked examples→Nets & views of 3-D objectsWorked examples→Surface area of prisms & pyramidsWorked examples→Surface area of rectangular prismsWorked examples→Volume of cylindersWorked examples→Volume of right prismsWorked examples→
Statistics
Open the unit →Choosing an appropriate graphFollow the reasoning.→Constructing clear, accurate graphsFollow the reasoning.→Critiquing claims & improving graphsFollow the reasoning.→Data & the questions we askFollow the reasoning.→Interpreting & comparing graphsFollow the reasoning.→How graphs can misleadFollow the reasoning.→Graph strengths & limitationsFollow the reasoning.→
Science
Mix & Flow of Matter
Open the unit →Buoyancy & displacementA sealed 100 mL object has mass 60 g in water at 1 g/mL.→Mass, volume & densityA sample has mass 90 g and volume 30 cm³.→Fluid technologies & investigationsA syrup test changes both temperature and the opening size.→Hydraulics & fluid pressureA 20 N force acts on a 2 cm² input piston. The output area is 10 cm².→Safe investigations & WHMISTwo similar-looking liquids have different labels. What should you do?→Pure substances & mixturesA clear sample leaves salt after evaporation. What does that tell you?→Particles, states & fluidsWhy can air in a sealed syringe be compressed?→Pressure & compression200 N acts over 0.5 m², then over 0.1 m².→Solubility & concentrationCompare 12 g in 200 mL with 9 g in 100 mL.→Viscosity & flow rate50 mL takes 10 s in A and 25 s in B.→
Cells & Systems
Open the unit →Inside a cellWhy is a cell more than a collection of separate parts?→Cell theoryHow did microscopes change the evidence scientists could collect?→Circulatory systemAre all arteries oxygen-rich?→Diffusion & osmosisWhy might a plant cell become firm in a dilute surrounding solution?→Digestive systemHow does a nutrient from lunch reach a muscle cell?→Dr. Wong vs Dr. GoogleMake the evidence count.→Excretory systemWhy do the kidneys need the circulatory system?→Levels of organizationPlace these in order: heart, muscle cell, circulatory system, muscle tissue.→What does it mean to be living?A fire uses fuel and grows. Is that enough to call it living?→The microscopeA 10× eyepiece and 40× objective are in use. What is the total magnification?→Nervous systemWhat pathway might help you pull a hand away from a hot surface?→Plant transportationHow can water absorbed by roots reach a leaf?→Respiratory systemWhy do the respiratory and circulatory systems need each other?→Structures & functionsHow do a duck’s webbed feet help it swim?→
Light & Optics
Open the unit →Animal eyes & adaptationsWork it through→Colour & the visible spectrumWork it through→Concave & convex mirrorsWork it through→Investigating eye structuresWork it through→The human eyeWork it through→Lenses & image formationWork it through→Light, sources & scientific evidenceWork it through→Light sources & lighting energyWork it through→Optical devicesWork it through→Plane mirrors & the law of reflectionWork it through→Rays, shadows & materialsWork it through→Refraction & apparent positionWork it through→Extending & correcting visionWork it through→Waves, photons & model limitsWork it through→
Mechanical Systems
Open the unit →Efficiency, friction & energy auditsAudit a lifting machine→Energy sources & transformationsTrace a falling mass driving a generator→Gears, sprockets & rotationA 15-tooth driver turns a 45-tooth gear→Hydraulics & pneumaticsCompare piston areas→Levers & turning effectsBalance unequal loads→Mechanical advantage & speed ratioCompare measured and ideal performance→Pulleys, ramps & distance trade-offsLift 80 N with four supports→Machines, systems & useful workExplain a wheelbarrow→Work, distance & powerRaise a load steadily→
Fresh & Saltwater Systems
Open the unit →Aquatic life & changing ecosystemsFish decline after an algal bloom→Glaciers, ice & climateA model glacier gains 8 units and loses 11→Oceans, waves, tides & currentsA warm current reaches a coast→Water treatment & community choicesWhy is a sand filter not a desalination system?→Water’s changing pathwaysRain reaches a stream through the ground→Water on EarthMake the denominator clear→Water quality & evidenceA filter removes visible cloudiness→Watersheds & streamsA stream enters a wider, calmer reach→