Gizmos for Arizona - Mathematics: 3rd Grade (High Academic Standards for Students adopted 2016)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

3.OA: Operations and Algebraic Thinking

3.OA.A: Represent and solve problems involving whole number multiplication and division.

3.OA.A.1: Interpret products of whole numbers as the total number of objects in equal groups (e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each).

3.OA.A.2: Interpret whole number quotients of whole numbers (e.g., interpret 56 ÷ 8 as the number of objects in each group when 56 objects are partitioned equally into 8 groups, or as a number of groups when 56 objects are partitioned into equal groups of 8 objects each).

3.OA.A.3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.

3.OA.A.4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

3.OA.B: Understand properties of multiplication and the relationship between multiplication and division.

3.OA.B.5: Apply properties of operations as strategies to multiply and divide. Properties include commutative and associative properties of multiplication and the distributive property.

3.OA.B.6: Understand division as an unknown-factor problem (e.g., find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8).

3.OA.C: Multiply and divide within 100.

3.OA.C.7: Fluently multiply and divide within 100. By the end of Grade 3, know from memory all multiplication products through 10 x 10 and division quotients when both the quotient and divisor are less than or equal to 10.

3.OA.D: Solve problems involving the four operations, and identify and explain patterns in arithmetic.

3.OA.D.8: Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Utilize understanding of the Order of Operations when there are no parentheses.

3.OA.D.9: Identify patterns in the addition table and the multiplication table and explain them using properties of operations (e.g., observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends).

3.NBT: Number and Operations in Base Ten

3.NBT.A: Use place value understanding and properties of operations to perform multi-digit arithmetic.

3.NBT.A.1: Use place value understanding to round whole numbers to the nearest 10 or 100.

3.NBT.A.2: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

3.NF: Number and Operations—Fractions

3.NF.A: Understand fractions as numbers.

3.NF.A.1: Understand a fraction (1/𝑏) as the quantity formed by one part when a whole is partitioned into 𝑏 equal parts; understand a fraction 𝑎/𝑏 as the quantity formed by 𝑎 parts of size 1/𝑏.

3.NF.A.2: Understand a fraction as a number on the number line; represent fractions on a number line diagram.

3.NF.A.3: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

3.MD: Measurement and Data

3.MD.A: Solve problems involving measurement.

3.MD.A.1: Tell and write time to the nearest minute and measure time intervals in minutes.

3.MD.A.2: Measure and estimate liquid volumes and masses of objects using metric units. (Excludes compound units such as cm³ and finding the geometric volume of a container.) Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. Excludes multiplicative comparison problems (problems involving notions of times as much).

3.MD.B: Represent and interpret data.

3.MD.B.3: Create a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and two-step how many more and how many less problems using information presented in scaled bar graphs.

3.MD.C: Geometric measurement: Understand concepts of area and perimeter.

3.MD.C.5: Understand area as an attribute of plane figures and understand concepts of area measurement.

3.MD.C.6: Measure areas by counting unit squares (e.g., square cm, square m, square in, square ft, and improvised units).

3.MD.C.7: Relate area to the operations of multiplication and addition.

3.MD.C.8: Solve real-world and mathematical problems involving perimeters of plane figures and areas of rectangles, including finding the perimeter given the side lengths, finding an unknown side length. Represent rectangles with the same perimeter and different areas or with the same area and different perimeters.

3.G: Geometry

3.G.A: Reason with shapes and their attributes.

3.G.A.1: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples quadrilaterals that do not belong to any of these subcategories.

3.G.A.2: Partition shapes into 𝑏 parts with equal areas. Express the area of each part as a unit fraction 1/𝑏 of the whole.

Correlation last revised: 4/13/2026

Arizona - Mathematics: 3rd Grade

High Academic Standards for Students | Adopted: 2016

3.OA: Operations and Algebraic Thinking

3.NBT: Number and Operations in Base Ten

3.NF: Number and Operations—Fractions

3.MD: Measurement and Data

3.G: Geometry