Common Core Math · Grade 8
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
Why water teaches this standard well
Students express Earth's total volume of fresh water or a large reservoir's gallon capacity in scientific notation, then compare how many times larger one quantity is than another. Writing enormous water volumes in scientific notation makes truly planetary-scale numbers manageable.
Materials tagged with this code are written to the full standard , and each carries a written note explaining the alignment. See how we review materials.
Grade 8 Lesson plan
A grade 8 health lesson where students read a fictional private-well nitrate test, compare it to a guideline, and express the tiny concentrations in scientific notation.
Grade 8 Worksheet
A grade 8 worksheet on a fictional water district's membrane test, where students write tiny and huge quantities as a single digit times a power of ten.
Grade 8 Worksheet
A grade 8 science worksheet using powers of ten to compare acid strength above and below a fictional limestone treatment bed on a mine drainage stream.
Grade 8 Worksheet
A grade 8 art-design worksheet where students write water residence times in scientific notation and use the exponents to plan a scaled wall graphic's bar lengths.
Grade 8 Worksheet
A grade 8 consumer-science worksheet where students compute a home filter's removal efficiency for lead and PFAS and compare tiny concentrations in scientific notation.
Grade 8 Worksheet
A grade 8 consumer-science worksheet on home water savings, using scientific notation for yearly gallons and a linear equation to find a fixture's payback time.
Grade 8 Worksheet
A grade 8 worksheet that has students write a fictional water district's large quantities in scientific notation and compare national water figures by magnitude.
Grade 8 Worksheet
A grade 8 worksheet using a fictional water district's PFAS well results to write very small and very large quantities in scientific notation and compare them.
Grade 8 Worksheet
A grade 8 worksheet using a fictional desalination plant's daily flows and membrane pore sizes to write and compare quantities in scientific notation.
Grade 8 Worksheet
A grade 8 worksheet that writes water-sector job counts, lead service line totals, and a fictional utility's own figures in scientific notation.
Grade 8 Worksheet
A grade 8 science worksheet comparing flood, sprinkler, and drip irrigation at a fictional orchard using scientific notation, savings, and acre-foot conversions.
Grade 8 Worksheet
A grade 8 science worksheet on lead in drinking water: students weigh corrosion control, compare tap results to the shifting action level, and use scientific notation.
Grade 8 Worksheet
A grade 8 science worksheet on PFAS removal at a fictional well, using scientific notation and removal efficiency to compare readings against the 4.0 ppt limit.
Grade 8 Worksheet
Grade 8 students at the fictional Sable River Dam write reservoir capacity, downstream releases, and hydropower figures in scientific notation and compare their sizes.
Grade 8 Worksheet
A grade 8 science worksheet on a fictional plant's anaerobic digester: volatile solids destroyed, biogas produced, and yearly electricity in scientific notation.
Grade 8 Worksheet
A grade 8 science worksheet where students model how a reverse osmosis membrane separates water from dissolved salt and calculate salt rejection.
Grade 8 Worksheet
A grade 8 science worksheet where students read a fictional treatment plant's BOD and TSS data, find removal efficiency, and write daily loads in scientific notation.
Grade 8 Worksheet
A grade 8 worksheet using scientific notation to size a fictional desalination pilot, compare it to a real large plant, and test it against a capacity criterion.
Grade 8 Worksheet
A grade 8 worksheet where students convert four fictional reservoirs' acre-foot volumes to gallons and compare their sizes using scientific notation.
Grade 8 Worksheet
A grade 8 worksheet where students read a fictional reservoir's dissolved oxygen, pH, and bacteria data, compare it to real thresholds, and use scientific notation.
Grade 8 Worksheet
A grade 8 worksheet where students read a fictional plant's PFAS lab report, compare it to the real federal limit, and convert ppm, ppb, and ppt.
Grade 8 Worksheet
A grade 8 worksheet where students use real residence-time data to compare how long water stays in the atmosphere versus two fictional aquifers.
Grade 8 Worksheet
A grade 8 worksheet combining scientific notation and one-variable equations with real operator wage and workforce data at a fictional treatment plant.
Grade 8 Worksheet
A grade 8 worksheet where students interpret a water utility's annual quality report, comparing measured levels to legal limits using scientific notation.
Grade 8 Math problem set
A grade 8 problem set where students compare a fictional aquifer's stored water, yearly pumping, and recharge in scientific notation and say how much larger each is.
Grade 8 Math problem set
A grade 8 set on an aquifer storage project where students write injection volumes in scientific notation, divide powers of ten, and check a pipeline loss rule.
Grade 8 Math problem set
A grade 8 science problem set on a fictional gorge dam: the constant of proportionality between flow and power, two turbines compared, and a Hoover Dam scale check.
Grade 8 Math problem set
A grade 8 science problem set on a fictional basin's snow course: rate of change in snow water equivalent, melt-out dates, and basin storage in scientific notation.
Grade 8 Math problem set
A grade 8 science problem set where students write huge aquifer and city-use volumes in scientific notation, compare magnitudes, and reason about groundwater depletion.
Grade 8 Math problem set
A grade 8 math set where students write a fictional treatment plant's daily and yearly water figures in scientific notation and compare capacities across plants.
Grade 8 Classroom activity
A grade 8 movement activity where students write water quantities in scientific notation and order them along a power-of-ten number line.
Grade 8 Quiz & test questions
A grade 8 assessment mixing multiple-choice, computation, and design short-answer items on reducing runoff, using the rational method and scientific notation.
Grade 8 Quiz & test questions
A grade 8 unit test on a fictional town's water system covering scientific notation, tank volume, systems of equations, and linear functions.
Grade 8 Quiz & test questions
A grade 8 unit test covering scientific notation, cylinder volume, systems of equations, and scatter plots, with multiple-choice and computation items.