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Utah Standards

Utah 7th Grade Math Standards

All 32 Utah math standards for 7th grade, each explained in plain English. The official wording is in Utah State Board of Education's document, linked at the end of this page.

32 standards

Mathematical Practices

8 standards
7.MP.1
Analyze the givens and goals of multi-step problems, plan and monitor a solution, compare approaches such as tables and equations, and check answers by another method.
7.MP.2
Turn real situations into expressions and equations, like 0.8p for a 20% discount, work with them fluently, and interpret the results back in the situation.
7.MP.3
Make conjectures about rational numbers, angles, or probability, build logical step-by-step arguments to test them, share conclusions, and critique the reasoning of others.
7.MP.4
Model everyday situations like sales tax, tips, or scale maps with proportions and equations, make reasonable assumptions, and check if results make sense, improving the model if needed.
7.MP.5
Decide when tools like calculators, protractors, compasses, scale drawings, or simulations help, know their limits, and use outside resources to pose and solve problems.
7.MP.6
State the meaning of symbols, use precise definitions, label units and axes, compute with rational numbers accurately, and round answers to fit the context, like percents to tenths.
7.MP.7
Find simple structure inside complex expressions, like seeing a + 0.05a as 1.05a to show a 5% increase, and use it to reason about the value.
7.MP.8
Notice repeated steps, like the same multiplier showing up across a proportional table, generalize them into rules, and check intermediate results while keeping the whole process in view.

Ratios and Proportional Relationships

3 standards
7.RP.1
Find unit rates from ratios of fractions, including lengths, areas, or other quantities in like or different units, like 3/4 mile in 1/2 hour being 1 1/2 miles per hour.
7.RP.2
Decide whether two quantities are proportional, find the constant of proportionality, and write the relationship as an equation like t = pn.
Common Core 7.RP.2
7.RP.3
Use proportions to solve multi-step ratio and percent problems, like simple interest, tax, tips, markups, markdowns, commissions, fees, percent change, and percent error.

The Number System

3 standards
7.NS.1
Add and subtract positive and negative numbers, including fractions and decimals, knowing that subtracting a number is adding its opposite.
Common Core 7.NS.1
7.NS.2
Multiply and divide positive and negative numbers, including the sign rules, and turn any fraction into a decimal that ends or repeats.
Common Core 7.NS.2
7.NS.3
Solve real-world and math problems using all four operations with positive and negative fractions and decimals, applying fraction rules to complex fractions too.

Expressions and Equations

4 standards
7.EE.1
Combine, factor and expand linear expressions, like rewriting 3(x + 2) as 3x + 6 or 2x + 5x as 7x.
Common Core 7.EE.1
7.EE.2
See what a rewritten expression reveals, like a + 0.05a = 1.05a showing that a 5% increase is the same as multiplying by 1.05.
Common Core 7.EE.2
7.EE.3
Solve multi-step problems with positive and negative whole numbers, fractions and decimals, switching forms as needed and checking answers by estimating.
Common Core 7.EE.3
7.EE.4
Write and solve two-step equations like 3x + 5 = 20 and inequalities like 3x + 5 > 20 from word problems, and graph the inequality's solutions.
Common Core 7.EE.4

Geometry

6 standards
7.G.1
Solve problems with scale drawings, like finding real lengths and areas from a map scale and redrawing a figure at a new scale.
7.G.2
Draw shapes from given measurements, and tell whether three side or angle measures make one triangle, many, or none.
Common Core 7.G.2
7.G.3
Describe the flat shape you get when you slice through a rectangular box or pyramid.
Common Core 7.G.3
7.G.4
Use A = πr² and C = 2πr to solve circle problems, and informally show how circle area connects to circumference, like by cutting a circle into wedges.
7.G.5
Write and solve simple equations for a missing angle using what is known about supplementary, complementary, vertical, and adjacent angles, in multi-step problems.
7.G.6
Find the area of polygons and the volume and surface area of prisms, including shapes built from several pieces.
Common Core 7.G.6

Statistics and Probability

8 standards
7.SP.1
Explain that a sample can give information about a population only if it represents that population, and that random sampling makes that more likely.
7.SP.2
Use a random sample to estimate something about a population, and take several samples to see how much the estimate might vary.
Common Core 7.SP.2
7.SP.3
Informally compare two data sets with similar spread by how much they overlap, describing the gap between their centers as a multiple of the spread, like means 2 MADs apart.
7.SP.4
Use the mean, median and spread of two random samples to decide how two populations compare.
Common Core 7.SP.4
7.SP.5
Explain that probability is a number from 0 to 1 showing how likely an event is, with near 0 unlikely, about 1/2 neither, and near 1 likely.
7.SP.6
Estimate a probability from many trials, and predict outcomes from a probability, like rolling a 3 or 6 about 200 times in 600 rolls.
Common Core 7.SP.6
7.SP.7
Build a probability model, either with equally likely outcomes or from observed data, and explain when results do not match it.
Common Core 7.SP.7
7.SP.8
Find the probability of a compound event, like rolling double sixes, by listing outcomes in a table or tree diagram or by running a simulation.
Common Core 7.SP.8

The official Utah documents

The plain-English lines on this page are EMStudio's own explanations of Utah's standards, not the official wording, which Utah State Board of Education publishes in the documents above. Codes and strand names identify each standard.