# Academic standards list

### 4th Grade — Mathematics

### Introduction

Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

### Operations & Algebraic Thinking

CCSS.Math.Content.4.OA

Use the four operations with whole numbers to solve problems.

Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many…

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown…

Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which…

Gain familiarity with factors and multiples.

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether…

Generate and analyze patterns.

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.…

### Number & Operations in Base Ten

CCSS.Math.Content.4.NBT

Generalize place value understanding for multi-digit whole numbers.

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. For example,…

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on…

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place…

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the…

### Number & Operations - Fractions

CCSS.Math.Content.4.NF

Extend understanding of fraction equivalence and ordering.

Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size…

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to…

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

*There are 4 components within this standard*.Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

*There are 3 components within this standard*.Understand decimal notation for fractions, and compare decimal fractions.

Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective…

Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62…

Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same…

### Measurement & Data

CCSS.Math.Content.4.MD

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single…

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including…

Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room…

Represent and interpret data.

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of…

Geometric measurement: understand concepts of angle and measure angles.

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

*There are 2 components within this standard*.Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle…

### Geometry

CCSS.Math.Content.4.G

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a…

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