First Grade Mathematics
Grade Four
In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multidigit multiplication, and developing understanding of dividing to find quotients involving multidigit dividends; (2) developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; (3) understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.
 Students generalize their understanding of place value to 1,000,000, understanding the relative sizes of numbers in each place. They apply their understanding of models for multiplication (equalsized groups, arrays, area models), place value, and properties of operations, in particular the distributive property, as they develop, discuss, and use efficient, accurate, and generalizable methods to compute products of multidigit whole numbers. Depending on the numbers and the context, they select and accurately apply appropriate methods to estimate or mentally calculate products. They develop fluency with efficient procedures for multiplying whole numbers; understand and explain why the procedures work based on place value and properties of operations; and use them to solve problems. Students apply their understanding of models for division, place value, properties of operations, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multidigit dividends. They select and accurately apply appropriate methods to estimate and mentally calculate quotients, and interpret remainders based upon the context.
 Students develop understanding of fraction equivalence and operations with fractions. They recognize that two different fractions can be equal (e.g., 15/9 = 5/3), and they develop methods for generating and recognizing equivalent fractions. Students extend previous understandings about how fractions are built from unit fractions, composing fractions from unit fractions, decomposing fractions into unit fractions, and using the meaning of fractions and the meaning of multiplication to multiply a fraction by a whole number.
 Students describe, analyze, compare, and classify twodimensional shapes. Through building, drawing, and analyzing twodimensional shapes, students deepen their understanding of properties of twodimensional objects and the use of them to solve problems involving symmetry.
Grade 4 Overview
Operations and Algebraic Thinking
 Use the four operations with whole numbers to solve problems.
 Gain familiarity with factors and multiples.
 Generate and analyze patterns.
 http://www.corestandards.org/Math/Content/4/OA/
Number and Operations in Base Ten
 Generalize place value understanding for multidigit whole numbers.
 Use place value understanding and properties of operations to perform multidigit arithmetic.
 http://www.corestandards.org/Math/Content/4/NBT/
Number and Operationsâ€”Fractions
 Extend understanding of fraction equivalence and ordering.
 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
 Understand decimal notation for fractions, and compare decimal fractions.
 http://www.corestandards.org/Math/Content/4/NF/
Measurement and Data
 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
 Represent and interpret data.
 Geometric measurement: understand concepts of angle and measure angles.
 http://www.corestandards.org/Math/Content/4/MD/
Geometry
 Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
 http://www.corestandards.org/Math/Content/4/G/
*Information provided from: http://www.corestandards.org/
Grade Four Tentative Math Pacing Calendar
September 
Topic One 
Generalize Place Value Understanding

September 
Topic Two 
Fluently Add and Subtract MultiDigit Whole Numbers

October 
Topic Three 
Use Strategies and Properties to Multiply by 1Digit Numbers

October/November 
Topic Four 
Use Strategies and Properties to Multiply by 2Digit Numbers

November 
Topic Five 
Use Strategies and Properties to Divide by 1Digit Numbers

December 
Topic Six 
Use Operations with Whole Numbers to Solve Problems

December 
Topic Seven 
Factors and Multiples

January 
Topic Eight 
Extend Understanding of Fraction Equivalence and Ordering

January 
Topic Nine 
Understand Addition and Subtraction of Fractions

January/February 
Topic Ten 
Extend Multiplication Concepts to Fractions

February 
Topic Eleven 
Represent and interpret Data on Line Plots

February 
Topic Thirteen (only some lessons) 
Measurement: Find Equivalence in Units of Measure

March 
Topic Fourteen 
Algebra: Generate and Analyze Patterns

March/April 
Topic Fifteen 
Geometric Measurement: Understand Concepts of Angles and Angle Measurement

April 
Topic Sixteen 
Lines, Angles and Shapes

May 
Topic Twelve 
Understand and Compare Decimals

June 
Topic Thirteen (remaining lessons) 
Measurement: Find Equivalence in Units of Measurement 