ArizonaArizona 4th Grade Math Curriculum
Video lessons and practice for every 4th grade math topic. Aligned to Arizona Mathematics Standards so your child learns exactly what their school teaches.
Arizona 4th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
4.OA.A.1 | Interpret a multiplication equation as a comparison |
4.OA.A.2 | Multiply or divide to solve word problems involving multiplicative comparison |
4.OA.A.3 | Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations |
4.OA.B.4 | Find all factor pairs for a whole number in the range 1–100 |
4.OA.C.5 | Generate a number or shape pattern that follows a given rule |
4.NBT.A.1 | Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right |
4.NBT.A.2 | Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form |
4.NBT.A.3 | Use place value understanding to round multi-digit whole numbers to any place |
4.NBT.B.4 | Fluently add and subtract multi-digit whole numbers using the standard algorithm |
4.NBT.B.5 | Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers |
4.NBT.B.6 | Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors |
4.NF.A.1 | Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) |
4.NF.A.2 | Compare two fractions with different numerators and different denominators |
4.NF.B.3 | Understand a fraction a/b with a > 1 as a sum of fractions 1/b |
4.NF.C.6 | Use decimal notation for fractions with denominators 10 or 100 |
4.NF.C.7 | Compare two decimals to hundredths by reasoning about their size |
4.MD.A.1 | Know relative sizes of measurement units within one system of units |
4.MD.A.2 | Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money |
4.MD.A.3 | Apply the area and perimeter formulas for rectangles in real world and mathematical problems |
4.MD.B.4 | Make a line plot to display a data set of measurements in fractions of a unit |
4.MD.C.5 | Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint |
4.G.A.1 | Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines |
4.G.A.2 | Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size |
4.G.A.3 | Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts |
Arizona 4th Grade Math: What Students Learn This Year
4th grade is a big year for math in Arizona. Students move from basic arithmetic into more complex multiplication and division, dig deep into fractions, and begin working with decimals. Every topic on this page aligns to the Arizona Mathematics Standards — the same standards your child's teacher uses in the classroom.
Multiplication and Division
Students learn to interpret multiplication as a comparison and solve word problems involving multiplicative comparisons. They multiply up to four-digit numbers by a one-digit number and multiply two two-digit numbers. Division extends to four-digit dividends with one-digit divisors, including remainders. These skills are foundational for 5th grade math and beyond.
Place Value and Number Sense
4th graders explore how each digit in a multi-digit number represents ten times the value of the digit to its right. They read and write numbers in standard form, word form, and expanded form, and use place value understanding to round numbers to any place. Fluency with addition and subtraction of multi-digit numbers is also developed at this grade.
Fractions and Decimals
- Explain and generate equivalent fractions
- Compare fractions with different numerators and denominators
- Add and subtract fractions with like denominators
- Multiply a fraction by a whole number
- Convert fractions with denominators of 10 or 100 to decimal notation
- Compare two decimals to the hundredths place
This fraction and decimal work prepares students for the more advanced fraction operations in 5th grade.
Measurement and Data
Students solve word problems involving time, distance, liquid volume, mass, and money using all four operations. They apply area and perimeter formulas for rectangles in real-world problems and create line plots to display measurement data in fractions of a unit.
Geometry
4th grade geometry introduces angles as geometric shapes formed by two rays sharing an endpoint. Students measure angles with a protractor, recognize angle measure as additive, and draw points, lines, line segments, rays, and various types of angles. They also classify two-dimensional figures by their properties — including parallel lines, perpendicular lines, and angle types — and identify lines of symmetry.
Preparing for the AASA Assessment
Arizona students in grades 3–8 take the AASA (Arizona's Academic Standards Assessment). StudyPug's 4th grade math content is aligned to Arizona Mathematics Standards, so every topic your child practices on StudyPug connects directly to what is tested. Working through practice problems and reviewing video lessons is a practical way to build readiness for the AASA.