• # Elementary Mathematics Grade 4 Introductory Unit

Subject: Mathematics
Timeline: 15 Days
Unit Title: Introductory Unit

Unit Overview:

Instructional time in grade three focuses on several major works. The instructional review covers rounding, estimating, multiplication properties and relationship to division, counting and comparing money, basic geometry, data collection and measurement, solving and writing multi-step problems with all four operations, and fractions. The summary of the major works in grade three prepares the student with the foundation to build fourth grade skills.

Unit Objectives:

At the end of this unit, all students will be able to:
• Round and estimate numbers to 1000 to nearest 10 or 100.
• Use multiplication and division strategies for numbers within 100.
• Use fractions to represent the whole and use visual fractions to show equivalent fractions.
• Calculate area by covering shapes and determining the total units.
• Identify shapes and their attributes by describing, analyzing and comparing
• Gather and represent data using bar graphs and pictographs.
• Solve problems involving measurement of time, elapsed time liquid, volume and mass.

Focus Standards:

PA.CCSS.Math.Content. CC.2.1.3.B.1 Apply place value to round whole numbers to the nearest 10 or 100
PA.CCSS.Math.Content. CC.2.1.3.B.1 Apply place value and properties of operations to perform multi-digit arithmetic
PA.CCSS.Math.Content. CC.2.1.3.C.1 Explore and develop an understanding of fractions as numbers
PA.CCSS.Math.Content. CC.2.1.3.A.1 Represent and solve problems involving multiplication and division
PA.CCSS.Math.Content. CC.2.1.3.A.2 Understand properties of multiplication and the relationship to division
PA.CCSS.Math.Content. CC.2.2.3.A.4 Solve problems involving the four operations
PA.CCSS.Math.Content. CC.2.3.3.A.1 Identify, compare and classify shapes and their attributes
PA.CCSS.Math.Content. CC.2.3.3.A.2 Use the understanding of fractions to partition shapes into parts with equal areas and describe the parts as a unit fraction of the whole.
PA.CCSS.Math.Content. CC.2.4.3.A.1 Solve problems involving measurement, estimation of temperature, liquid volume, mass or length
PA.CCSS.Math.Content. CC.2.4.3.A.2 Tell and write time to the nearest minute and solve problems by calculating time intervals
PA.CCSS.Math.Content. CC.2.4.3.A.3 Solve problems involving money using a combination of coins and bills
PA.CCSS.Math.Content. CC.2.4.3.A.4 Represent and interpret data using tally charts, tables, pictographs, line plots, and bar graphs
PA.CCSS.Math.Content. CC.2.4.3.A.5 Determine the area of a rectangle and apply the concept to multiplication and to addition
PA.CCSS.Math.Content. CC.2.4.3.A.6 Solve problems involving perimeter of polygons and distinguish between linear and area measures

Mathematical Practice Standards:

#1 - Make sense of problems and persevere in solving them
#2 - Reason abstractly and quantitatively.
#3 - Construct viable arguments and critique the reasoning of others
#4 - Model with mathematics
#5 - Use appropriate tools strategically
#6 - Attend to precision
#7 - Look for and make use of structure
#8 - Look for and express regularity in repeated reasoning

Elements of Instruction:

The focus of instruction is on four critical areas: developing understanding of multiplication and division and strategies for multiplication and division within 100, developing an understanding of fractions, especially unit fractions (fractions with the numerator 1), developing understanding of the rectangular arrays and of area; and describing and analyzing two-dimensional shapes.

Differentiation:

Each lesson has differentiation options for each portion of the lesson. Additional differentiation options are listed with directions and student masters in the Teacher’s Guide.

Interdisciplinary Connections:
• None