# Mathematics - Grade Four   (#5012060)

 Course Number: 5012060 Course Path: Section: Grades PreK to 12 Education Courses > Grade Group: Grades PreK to 5 Education Courses > Subject: Mathematics > SubSubject: General Mathematics > Course Section: Grades PreK to 12 Education Courses Abbreviated Title: MATH GRADE Four Course Length: Year (Y) Course Type: Core Course Status : State Board Approved Keywords: Grades PreK To 5 Education Courses, PreK-5, PreK To 5, Grades Pre K To 5 Education Courses, Pre K-5, Pre K To 5, Elementary, Mathematics, General Mathematics, General, Math, Mathematics - Grade Four, MATH GRADE Four Grade Level(s): 4

#### VERSION DESCRIPTION

This course description defines what students should understand and be able to do in mathematics by the end of Grade 4 for the 2013-2014 Blended Instructional Year.  The course description includes the Florida Standards for Mathematics (CCSS) for Grade 4 and the Standards for Mathematical Practice. Seven (7) additional benchmarks have been identified from the Florida Next Generation Sunshine State Standards (NGSSS) for inclusion so that the mathematics FCAT 2.0 is addressed during this blended instructional year. While much of the NGSSS benchmark content is addressed in CCSS (both content and mathematical practice standards), a few key points specific to FCAT 2.0 need to be addressed:

• extend place value of decimals to the thousandths place
• relate decimals to fractional equivalents
• relate halves, fourths, tenths, and hundredths to decimals and percents
• clarify that equivalent fractions includes simplest form
• show various ways to model fractional problems
• create algebraic equations based on word problems
• clarify benchmark angles: 45°, 90°, 180°, 360°
• compose and decompose geometric figures

#### GENERAL NOTES

MACC.4

In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit 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.

(1)  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 (equal-sized 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 multi-digit 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 multi-digit dividends.  They select and accurately apply appropriate methods to estimate and mentally calculate quotients, and interpret remainders based upon the context.

(2)  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.

(3)  Students describe, analyze, compare, and classify two-dimensional shapes.  Through building, drawing, and analyzing two-dimensional shapes, students deepen their understanding of properties of two-dimensional objects and the use of them to solve problems involving symmetry.