7.RP.3Equations and graphs of proportional relationshipsEssential
7.GM.1Scale drawings, actual lengths and areas
7.GM.2Area and circumference of a circle
7.DSP.1Samples, bias, and valid inferencesEssential
7.DSP.2Comparing two populations by center and spreadEssential
7.DSP.3Overlap of distributions; outliers
7.DSP.4Probability and the language of likelihoodEssential
7.DSP.5Probability models and sample spacesEssential
Try three items
Pick an answer to see the worked solution.
7.AF.5Approaching
A pipe fills a tank at a steady pace. The total volume after each minute is 3.2 liters, 6.4 liters, 9.6 liters, 12.8 liters.
What is the rate of change, and is it constant?
Choose an answer to see the worked solution.
Worked solutionCompare consecutive volumes: 6.4 − 3.2 = 3.2, 9.6 − 6.4 = 3.2, and 12.8 − 9.6 = 3.2. The same 3.2 liters is added each minute, so the rate of change is 3.2 liters per minute and it is constant.
The value 12.8 is the total after four minutes, not a rate.
7.NS.2At Proficiency
A drone is at an altitude of 48.5 meters. A diver is at −12.75 meters relative to sea level.
What is the vertical distance between them?
Choose an answer to see the worked solution.
Worked solutionThe distance is the absolute value of the difference: |48.5 − (−12.75)| = |61.25| = 61.25 meters. Subtracting the sizes instead of adding gives 35.75, which is what happens when the minus sign in front of 12.75 is missed.
7.DSP.5Above Proficiency
Two spinners each have equal parts. Spinner 1 has 3 parts, one of them Red. Spinner 2 has 8 parts, three of them Red.
On which spinner is landing on Red more likely, and why?
Choose an answer to see the worked solution.
Worked solutionCompare 13 with 38 by writing both over 24: 13 = 824 and 38 = 924. Since 9 is greater than 8, Spinner 2 is the more likely, though only just.
Having more red parts is not by itself a reason — Spinner 2 also has more parts altogether. The comparison has to be made between the two ratios.
Get the Summative practice
230 items · 96 pages
Summative Practice Test
Practice across every tested standard before the spring summative.
Independent practiceIndependent practice for the Indiana ILEARN Math assessment. Not affiliated with, sponsored by, or endorsed by the Indiana Department of Education. Standard names are short summaries in our own words; see IDOE for the official text.
