CONTENT STRANDS 
Number Sense and Operations Strand 
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.

Number Systems

4.N.1  Skip count by 1,000’s

4.N.2  Read and write whole numbers to 10,000

4.N.3  Compare and order numbers to 10,000

4.N.4  Understand the place value structure of the base ten number system:
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
10 thousands = 1 ten thousand

4.N.5  Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers

4.N.6  Understand, use, and explain the associative property of multiplication

4.N.7  Develop an understanding of fractions as locations on number lines and as divisions of whole numbers

4.N.8  Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations

4.N.9  Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of a number line)

4.N.10  Develop an understanding of decimals as part of a whole

4.N.11  Read and write decimals to hundredths, using money as a context

4.N.12  Use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money

Number Theory

4.N.13  Develop an understanding of the properties of odd/even numbers as a result of multiplication

students will understand meanings of operations and procedures, and how they relate to one another.

Operations

4.N.14  Use a variety of strategies to add and subtract numbers up to 10,000

4.N.15  Select appropriate computational and operational methods to solve problems

4.N.16  Understand various meanings of multiplication and division

4.N.17  Use multiplication and division as inverse operations to solve problems

4.N.18  Use a variety of strategies to multiply twodigit numbers by onedigit numbers (with and without regrouping)

4.N.19  Use a variety of strategies to multiply twodigit numbers by twodigit numbers (with and without regrouping)

4.N.20  Develop fluency in multiplying and dividing multiples of 10 and 100 up to 1,000

4.N.21  Use a variety of strategies to divide twodigit dividends by onedigit divisors (with and without remainders)

4.N.22  Interpret the meaning of remainders

4.N.23  Add and subtract proper fractions with common denominators

4.N.24  Express decimals as an equivalent form of fractions to tenths and hundredths

4.N.25  Add and subtract decimals to tenths and hundredths using a hundreds chart

Students will compute accurately and make reasonable estimates.

Estimation

4.N.26  Round numbers less than 1,000 to the nearest tens and hundreds

4.N.27  Check reasonableness of an answer by using estimation



Algebra Strand 
Students will represent and analyze algebraically a wide variety of problem solving situations.

Variables and Expressions

4.A.1  Evaluate and express relationships using open sentences with one operation
Number Sentences

Students will perform algebraic procedures accurately.

Equations and Inequalities

4.A.2  Use the symbols <, >, =, and ? (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths)

4.A.3  Find the value or values that will make an open sentence true, if it contains < or >

Students will recognize, use, and represent algebraically patterns, relations, and functions.

Patterns, Relations, and Functions

4.A.4  Describe, extend, and make generalizations about numeric (+, , x, ÷) and geometric patterns

4.A.5  Analyze a pattern or a wholenumber function and state the rule, given a table or an input/output box



Geometry Strand 
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.

Shapes

4.G.1  Identify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon)

4.G.2  Identify points and line segments when drawing a plane figure

4.G.3  Find perimeter of polygons by adding sides

4.G.4  Find the area of a rectangle by counting the number of squares needed to cover the rectangle

4.G.5  Define and identify vertices, faces, and edges of threedimensional shapes

Students will identify and justify geometric relationships, formally and informally.

Geometric Relationships

4.G.6  Draw and identify intersecting, perpendicular, and parallel lines

4.G.7  Identify points and rays when drawing angles

4.G.8  Classify angles as acute, obtuse, right, and straight



Measurement Strand 
Students will determine what can be measured and how, using appropriate methods and formulas.

Units of Measurement

4.M.1  Select tools and units (customary and metric) appropriate for the length measured

4.M.2  Use a ruler to measure to the nearest standard unit (whole, ½ and ¼ inches, whole feet, whole yards, whole centimeters, and whole meters)

4.M.3  Know and understand equivalent standard units of length: 12 inches = 1 foot 3 feet = 1 yard

4.M.4  Select tools and units appropriate to the mass of the object being measured (grams and kilograms)

4.M.5  Measure mass, using grams

4.M.6  Select tools and units appropriate to the capacity being measured (milliliters and liters)

4.M.7  Measure capacity, using milliliters and liters

Students will use units to give meaning to measurements.

Units

4.M.8  Make change, using combined coins and dollar amounts

4.M.9  Calculate elapsed time in hours and half hours, not crossing A.M./P.M.

4.M.10  Calculate elapsed time in days and weeks, using a calendar



Statistics and Probability Strand 
Students will collect, organize, display, and analyze data.

Collection of Data

4.S.1  Design investigations to address a question from given data

4.S.2  Collect data using observations, surveys, and experiments and record appropriately

Organization and Display of Data

4.S.3  Represent data using tables, bar graphs, and pictographs

Analysis of Data

4.S.4  Read and interpret line graphs

Students will make predictions that are based upon data analysis.

Predictions from Data

4.S.5  Develop and make predictions that are based on data

4.S.6  Formulate conclusions and make predictions from graphs
