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Arizona Standards

Arizona 4th Grade Math Standards

All 37 Arizona math standards for 4th grade, each explained in plain English. The official wording is in Arizona Department of Education's document, linked at the end of this page.

37 standards

Operations and Algebraic Thinking

6 standards
4.OA.A.1
Write a multiplication equation for a times-as-many statement and read a product as a comparison, like 35 being 5 groups of 7 and also 7 groups of 5.
4.OA.A.2
Multiply or divide within 1,000 to solve times-as-many story problems with drawings and equations, and tell them apart from how-many-more problems.
4.OA.A.3
Solve multistep story problems with the four operations, interpret remainders and see them as a fraction of the divisor, and use a letter for the unknown in equations.
4.OA.B.4
List all factor pairs of a whole number from 1 to 100, like 24 as 1 x 24, 2 x 12, 3 x 8 and 4 x 6, and see that 24 is a multiple of every one of those factors.
4.OA.C.5
Create a number pattern from a rule and point out features the rule does not state, like add 3 from 1 giving numbers that switch between odd and even.
4.OA.C.6
Judge whether answers make sense with mental math and estimates such as rounding, like checking 389 x 4 against 400 x 4.

Numbers and Operations in Base Ten

6 standards
4.NBT.A.1
Use place value, multiplication and division to explain that each digit in a whole number is worth ten times what it would be one place to the right.
4.NBT.A.2
Read, write and compare multi-digit numbers in numerals, words and expanded form.
Common Core 4.NBT.2
4.NBT.A.3
Round multi-digit whole numbers to any place.
Common Core 4.NBT.3
4.NBT.B.4
Add and subtract multi-digit whole numbers quickly and accurately with a standard algorithm, like lining up places and regrouping.
4.NBT.B.5
Multiply up to four digits by one digit, and two two-digit numbers, with place-value strategies.
Common Core 4.NBT.5
4.NBT.B.6
Divide up to four-digit numbers by one-digit numbers, finding whole-number answers with remainders, like 1,234 ÷ 5 = 246 R 4, to show what division means.

Number and Operations – Fractions

7 standards
4.NF.A.1
Use fraction models to explain why 2/3 = 8/12, with more but smaller parts, and multiply numerator and denominator by one number to make equivalent fractions.
4.NF.A.2
Compare two fractions with different tops and bottoms using common denominators or a benchmark like 1/2, only for the same whole, and record and justify it with >, = or <.
4.NF.B.3
Treat a fraction like 5/6 as a sum of unit fractions, break it into sums several ways, and add and subtract like-denominator fractions and mixed numbers in story problems.
4.NF.B.4
Build fractions from unit fractions, like 3/5 = 3 x 1/5, and multiply a whole number by a fraction, including story problems like 5 x 3/8 of a pound.
4.NF.C.5
Rewrite tenths as hundredths to add a tenths fraction and a hundredths fraction, like 7/10 + 25/100 = 70/100 + 25/100 = 95/100.
4.NF.C.6
Write fractions with denominators of 10 or 100 as decimals, like 62/100 as 0.62, and place those decimals on a number line.
4.NF.C.7
Compare two decimals to the hundredths by thinking about their size, only when they refer to the same whole, and record the result with >, = or <.

Measurement and Data

7 standards
4.MD.A.1
Know how units in one system compare, like meters and centimeters, convert between larger and smaller units both ways, and make tables like 1 ft = 12 in, 2 ft = 24 in.
4.MD.A.2
Solve four-operation problems about distance, time, volume, mass and money with decimals, like-denominator fractions or unit changes, and show amounts on scaled number lines.
4.MD.A.3
Use the area and perimeter formulas for rectangles to solve math and real-world problems, including finding a missing side length.
4.MD.B.4
Make a line plot of measurements in halves, quarters and eighths of a unit, and use it to solve problems that add and subtract fractions.
4.MD.C.5
Understand angles and how they are measured in degrees.
Common Core 4.MD.5
4.MD.C.6
Measure and draw angles with a protractor.
Common Core 4.MD.6
4.MD.C.7
Explain that angle measures add up when an angle is split into parts that do not overlap, and add or subtract to find missing angles on diagrams and in real-world problems.

Geometry

3 standards
4.G.A.1
Draw points, lines, segments, rays, angles, and perpendicular and parallel lines.
Common Core 4.G.1
4.G.A.2
Sort flat figures by whether they have parallel or perpendicular lines or angles of a given size, and identify right triangles as their own group.
4.G.A.3
Find and draw lines of symmetry.
Common Core 4.G.3

Standards for Mathematical Practice

8 standards
4.MP.1
Plan a path through a multistep problem, like one with a remainder, and keep checking whether the work answers the question.
4.MP.2
Translate a situation into numbers and symbols and back, like explaining what the remainder in 50 ÷ 6 means for how many buses a trip needs.
4.MP.3
Build a case for a claim, like 3/8 being less than 1/2, using models or benchmarks, and test the reasoning in a classmate's argument.
4.MP.4
Use equations, fraction models, line plots and diagrams to represent real problems, like finding the fencing needed around a rectangular garden.
4.MP.5
Choose tools like protractors, rulers, area models or grid paper wisely, and know what each one can and cannot show.
4.MP.6
Use precise labels and symbols, like degrees for angles, square units for area and the decimal point, and compute with care.
4.MP.7
Use structure, like breaking 6 x 47 into 6 x 40 plus 6 x 7 or seeing 2/3 as 2 x 1/3, to make hard problems simpler.
4.MP.8
Notice repeating steps and turn them into general methods, like finding that multiplying by 10 shifts every digit one place to the left.

The official Arizona documents

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