Go Math 3 rd Grade Meramec Valley R-3 School District Yearly Plan 1
Unit Plans 3 rd Grade In Grade 3, instructional time should focus on four critical areas: (1) developing understanding of multiplication and division and strategies for multiplication and division within 100; (2) developing understanding of fractions, especially unit fractions (fractions with numerator 1); (3) developing understanding of the structure of rectangular arrays and of area; and (4) describing and analyzing two-dimensional shapes. 1. Students develop an understanding of the meanings of multiplication and division of whole numbers through activities and problems involving equal-sized groups, arrays, and area models; multiplication is finding an unknown product, and division is finding an unknown factor in these situations. For equal-sized group situations, division can require finding the unknown number of groups or the unknown group size. Students use properties of operations to calculate products of whole numbers, using increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving single-digit factors. By comparing a variety of solution strategies, students learn the relationship between multiplication and division. 2. Students develop an understanding of fractions, beginning with unit fractions. Students view fractions in general as being built out of unit fractions, and they use fractions along with visual fraction models to represent parts of a whole. Students understand that the size of a fractional part is relative to the size of the whole. For example, 1/2 of the paint in a small bucket could be less paint than 1/3 of the paint in a larger bucket, but 1/3 of a ribbon is longer than 1/5 of the same ribbon because when the ribbon is divided into 3 equal parts, the parts are longer than when the ribbon is divided into 5 equal parts. Students are able to use fractions to represent numbers equal to, less than, and greater than one. They solve problems that involve comparing fractions by using visual fraction models and strategies based on noticing equal numerators or denominators. 3. Students recognize area as an attribute of two-dimensional regions. They measure the area of a shape by finding the total number of same-size units of area required to cover the shape without gaps or overlaps, a square with sides of unit length being the standard unit for measuring area. Students understand that rectangular arrays can be decomposed into identical rows or into identical columns. By decomposing rectangles into rectangular arrays of squares, students connect area to multiplication, and justify using multiplication to determine the area of a rectangle. 4. Students describe, analyze, and compare properties of two-dimensional shapes. They compare and classify shapes by their sides and angles, and connect these with definitions of shapes. Students also relate their fraction work to geometry by expressing the area of part of a shape as a unit fraction of the whole. 2
August/ September Chapter 1 Addition and Subtraction Within 1,000 1.1 Algebra: Number Patterns 1.2 Round to the Nearest Ten or Hundred 1.3 Estimate Sums 1.4 Mental Math Strategies for Addition 1.5 Algebra: Use Properties to Add 1.6 Use the Break Apart Strategy to Add 1.7 Use Place Value to Add 1.8 Estimate Differences 1.9 Mental Math Strategies for Subtraction 1.10 Use Place Value to Subtract 1.11 Combine Place Values to Subtract 1.12 Problem Solving: Addition and Subtraction Chapter 1 Review/Test Round whole numbers to the nearest 10 or 100 (3.NBT.1) Demonstrate fluency with addition and subtraction within 1000 (3.NBT.3) Write and solve two-step word problems involving variables using any of the four operations (3.RA.9) Interpret the reasonableness of answers using mental computation and estimation strategies including rounding (3.RA.10) Identify arithmetic patterns and explain the patterns using properties of operations (3.RA.11) Chapter 1 4 th GRADE GO MATH Place Value, Addition, and Subtraction to One Million 1.1 Model Place Value Relationships 1.2 Read and Write Numbers 1.3 1.4 Chapter 1 Review/Test Read, write and identify multi-digit whole numbers up to one million using number names, base ten numerals and expanded form (3.NBT.2) 3
2.1 Problem Solving: Organize Data 2.2 Use Picture Graphs 2.3 Make Picture Graphs 2.4 Use Bar Graphs 2.5 Make Bar Graphs 2.6 Solve Problems Using Data 2.7 Use and Make Line Plots Chapter 2 Review/Test Create frequency tables, scaled picture graphs and bar graphs to represent data set with several categories. (3.DS.1) Solve one-and two step problems using information presented in bar and/or picture graphs. (3.DS.2) Create a line plot to represent data. (3.DS.3) Use data shown in a line plot to answer questions (3.DS.4) September Chapter 2 Represent and Interpret Data 4
October Chapter 3 Understand Multiplication 3.1 Count Equal Groups 3.2 Algebra: Relate Addition and Multiplication 3.3 Skip Count on a Number Line 3.4 Problem Solving: Model Multiplication 3.5 Model with Arrays 3.6 Algebra: Commutative Property of Multiplication 3.7 Algebra: Multiply with 1 and 0 Chapter 3 Review/Test Interpret products of whole numbers (3.RA.1) Describe in words or drawings a problem that illustrates a multiplication or division situation (3.RA.3) Use multiplication and division within 100 to solve word problems (3.RA.4) Determine the unknown number in a multiplication or division equation relating three whole numbers (3.RA.5) Apply properties of operations as strategies to multiply and divide (3.RA.6) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers (3.RA.7) Demonstrate fluency with products within 100 (3.RA.8) Write and solve two-step word problems involving variables using any of the four operations (3.RA.9) Interpret the reasonableness of answers using mental computation and estimation strategies including rounding (3.RA.10) 5
October/November Chapter 4 Multiplication Facts and Strategies 4.1 Multiply with 2 and 4 4.2 Multiply with 5 and 10 4.3 Multiply with 3 and 6 4.4 Algebra: Distributive Property 4.5 Multiply with 7 4.6 Algebra: Associative Property of Multiplication 4.7 Algebra: Patterns on the Multiplication Table 4.8 Multiply with 8 4.9 Multiply with 9 4.10 Problem Solving: Multiplication Chapter 4 Review/Test Interpret products of whole numbers (3.RA.1) Use multiplication and division within 100 to solve word problems (3.RA.4) Determine the unknown number in a multiplication or division equation relating three whole numbers (3.RA.5) Apply properties of operations as strategies to multiply and divide (3.RA.6) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers (3.RA.7) Demonstrate fluency with products within 100 (3.RA.8) Write and solve two-step word problems involving variables using any of the four operations (3.RA.9) Interpret the reasonableness of answers using mental computation and estimation strategies including rounding (3.RA.10) Identify arithmetic patterns and explain the patterns using properties of operations (3.RA.11) 6
November Chapter 5 Use Multiplication Facts 5.1 Algebra: Describe Patterns 5.2 Algebra: Find Unknown Factors 5.3 Problem Solving: Use the Distributive Property 5.4 Use Place Value to Multiply with 10 5.5 Multiply with Multiples of 10 Chapter 5 Review/Test Interpret products of whole numbers (3.RA.1) Use multiplication and division within 100 to solve problems (3.RA.4) Determine the unknown number in a multiplication or division equation relating three whole numbers (3.RA.5) Apply properties of operations as strategies to multiply and divide (3.RA.6) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers (3.RA.7) Demonstrate fluency with products within 100 (3.RA.8) Identify arithmetic patterns and explain the patterns using properties of operations (3.RA.11) Multiply whole numbers by multiples of 10 in range of 10-90 (3.NBT.4) 7
December Chapter 6 Understand Division 6.1 Problem Solving: Model Division 6.2 Size of Equal Groups 6.3 Number of Equal Groups 6.4 Model with Bar Models 6.5 Algebra: Relate Subtraction and Division 6.6 Investigate: Model with Arrays 6.7 Algebra: Relate Multiplication and Division 6.8 Algebra: Write Related Facts 6.9 Algebra: Division Rules for 1 and 0 Chapter 6 Review/Test Interpret quotients of whole numbers (3.RA.2) Use multiplication and division within 100 to solve problems (3.RA.4) Determine the unknown number in a multiplication or division equation relating three whole numbers (3.RA.5) Apply properties of operations as strategies to multiply and divide (3.RA.6) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers (3.RA.7) 8
December/January Chapter 7 Division Facts and Strategies 7.1 Divide by 2 7.2 Divide by 10 7.3 Divide by 5 7.4 Divide by 3 7.5 Divide by 4 7.6 Divide by 6 16 7.7 Divide by 7 7.8 Divide by 8 7.9 Divide by 9 7.10 Problem Solving: Two-Step Problems 7.11 Investigate: Order of Operations Chapter 7 Review/Test Interpret quotients of whole numbers (3.RA.2) Use multiplication and division within 100 to solve problems (3.RA.4) Determine the unknown number in a multiplication or division equation relating three whole numbers (3.RA.5) Apply properties of operations as strategies to multiply and divide (3.RA.6) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers (3.RA.7) Demonstrate fluency with products within 100 (3.RA.8) Write and solve two-step word problems involving variables using any of the four operations (3.RA.9) Interpret the reasonableness of answers using mental computation and estimation strategies including rounding (3.RA.10) 9
January/February Chapter 8 Understand Fractions 8.1 Equal Parts of a Whole 8.2 Equal Shares 8.3 Unit Fractions of a Whole 8.4 Fractions of a Whole 8.5 Fractions on a Number Line 8.6 Relate Fractions and Whole Numbers 8.7 Fractions of a Group 8.8 Find Part of a Group Using Unit Fractions 8.9 Problem Solving: Find the Whole Group Using Unit Fractions Chapter 8 Review/Test Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts (3.NF.1) Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole. a) Describe the numerator as representing the number of pieces being considered b) Describe the denominator as the number of pieces that make the whole (3.NF.2) Represent fractions on a number line. A) Understand the whole is the interval from 0 to 1 B) Understand the whole is partitioned into equal parts C) Understand a fraction represents the endpoint of a length a given number of partitions from 0 (3.NF.3) Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line (3.NF.4) Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent (3.NF.5) 10
February Chapter 9 Compare Fractions 9.1 Problem Solving: Compare Fractions 9.2 Compare Fractions with the Same Denominator 9.3 Compare Fractions with the Same Numerator 9.4 Compare Fractions 9.5 Compare and Order Fractions 9.6 Investigate: Model Equivalent Fractions 9.7 Equivalent Fractions Chapter 9 Review/Test Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts (3.NF.1) Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole. a) Describe the numerator as representing the number of pieces being considered b) Describe the denominator as the number of pieces that make the whole (3.NF.2) Represent fractions on a number line. A) Understand the whole is the interval from 0 to 1 B) Understand the whole is partitioned into equal parts C) Understand a fraction represents the endpoint of a length a given number of partitions from 0 (3.NF.3) Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line (3.NF.4) Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent (3.NF.5) Compare two fractions with the same numerator or denominator using the symbols >, <, or =, and justify the solution (3.NF.6) Explain why fraction comparisons are only valid when the two fractions refer to the same whole (3.NF.7) 11
March Chapter 10 Time, Length, Liquid Volume, and Mass 10.1 Time to the Minute 10.2 A.M. and P.M. 10.3 Measure Time Intervals 10.4 Use Time Intervals 10.5 Problem Solving: Time Intervals 10.6 Measure Length 10.7 Estimate and Measure Liquid Volume 10.8 Estimate and Measure Mass 10.9 Solve Problems About Liquid Volume and Mass Chapter 10 Review/Test Tell and write time to nearest minute (3.GM.4 ) Estimate time intervals in minutes (3.GM.5) Solve word problems involving addition and subtraction of minutes (3.GM.6) Measure or estimate length, liquid volume, and weight of objects (3.GM.7) Use the four operations to solve problems involving lengths, liquid volumes or weights given in the same units (3.GM.8) Create a line plot to represent data (3.DS.3) 12
March/April Chapter 11 Perimeter and Area 11.1 Investigate: Model Perimeter 11.2 Find Perimeter 11.3 Algebra: Find Unknown Side Lengths 11.4 Understand Area 11.5 Investigate: Measure Area 11.6 Use Area Models 11.7 Problem Solving: Area of Rectangles 11.8 Area of Combined Rectangles 11.9 Same Perimeter, Different Areas 11.10 Same Area, Different Perimeters Chapter 11 Review/Test Calculate area by using unit squares to cover a plane figure with no gaps or overlaps (3.GM.9) Label; area measurements with squared units (3.GM.10) Demonstrate that tiling a rectangle to find the areas and multiplying the side lengths result in the same value (3.GM.11) Multiply whole-number side lengths to solve problems involving the area of rectangles (3.GM.12) Find rectangular arrangements that can be formed for a given area (3.GM.13) Decompose a rectangle into smaller rectangles to find the area of the original rectangle (3.GM.14) Solve problems involving perimeters of polygons (3.GM.15) Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters (3.GM.16) Interpret products of whole numbers (3.RA.1) Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers. (3.RA.7) Demonstrate fluency with products within 100 (3.RA.8) 13
May Chapter 12 Two- Dimensional Shapes 12.1 Describe Plane Shapes 12.2 Describe Angles in Plane Shapes 12.3 Identify Polygons 12.4 Describe Sides of Polygons 12.5 Classify Quadrilaterals 12.6 Draw Quadrilaterals 12.7 Describe Triangles 12.8 Problem Solving: Classify Plane Shapes 12.9 Investigate: Relate Shapes, Fractions, and Area Chapter 12 Review/Test Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category (3.GM.1) Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories (3.GM.2) Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole (3.GM.3) 14
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