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# Washington Standards Fourth Grade Mathematics resources

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Core Content: Multi-digit multiplication (Numbers, Operations, Algebra) Students learn basic multiplication facts and efficient procedures for multiplying two- and three-digit numbers. They explore the relationship between multiplication and division as they learn related division and multiplication facts in the same fact family. These skills, along with mental math and estimation, allow students to solve problems that call for multiplication. Building on an understanding of how multiplication and division relate to each other, students prepare to learn efficient procedures for division, which will be developed in fifth grade. Multiplication of whole numbers is not only a basic skill, it is also closely connected to Core Content in this grade level on area, and this connection reinforces understanding of both concepts. Multiplication is also central to students' study of many other topics in mathematics across the grades, including fractions, volume, and algebra.

4.1.A. Quickly recall multiplication facts through 10 x 10 and the related division facts.

Flip Charts Columns Across

Flip Charts Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Division Concepts & Strategies

Flip Charts Division Concepts & Strategies

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Table

Flip Charts Multiplication Table

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

4.1.B. Identify factors and multiples of a number.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

4.1.C. Represent multiplication of a two-digit number by a two-digit number with place value models.

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

4.1.D. Multiply by 10, 100, and 1,000.

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

4.1.E. Compare the values represented by digits in whole numbers using place value.

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Three-digit Numbers

Flip Charts Adding & Subtracting Three-digit Numbers

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Place Value - Understanding Numbers

Flip Charts Place Value - Understanding Numbers

Flip Charts Star Mathematicians

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Expanding Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation

Quiz, Flash Cards, Worksheet, Game & Study Guide Greater Than/Less Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Words and Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering and Comparing Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10

Quiz, Flash Cards, Worksheet, Game & Study Guide Whole Numbers to Millions

4.1.F. Fluently and accurately multiply up to a three-digit number by one- and two-digit numbers using the standard multiplication algorithm.

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

4.1.G. Mentally multiply two-digit numbers by numbers through 10 and by multiples of 10.

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

4.1.H. Estimate products to approximate solutions to problems and determine reasonableness of answers.

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

4.1.I. Solve single- and multi-step word problems involving multi-digit multiplication and verify the solutions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.1.J. Solve single- and multi-step word problems involving division and verify the solutions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Core Content: Fractions, decimals, and mixed numbers (Numbers, Algebra) Students solidify and extend their understanding of fractions (including mixed numbers) to include decimals and the relationships between fractions and decimals. Students work with common factors and common multiples as preparation for learning procedures for fraction operations in grades five and six. When they are comfortable with and knowledgeable about fractions, students are likely to be successful with the challenging skills of learning how to add, subtract, multiply, and divide fractions.

4.2.A. Represent decimals through hundredths with place value models, fraction equivalents, and the number line.

Flip Charts Adding & Subtracting Decimals

Flip Charts Adding & Subtracting Decimals

Flip Charts All About Decimals

Flip Charts All About Decimals

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding

4.2.B. Read, write, compare, and order decimals through hundredths.

Flip Charts All About Decimals

Flip Charts All About Decimals

Flip Charts Math Grade 3

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

4.2.C. Convert a mixed number to a fraction and vice versa, and visually represent the number.

Flip Charts Math Grade 5

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Flip Charts Our Atmosphere

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.2.D. Convert a decimal to a fraction and vice versa, and visually represent the number.

Flip Charts Box It Up

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

4.2.E. Compare and order decimals and fractions (including mixed numbers) on the number line, lists, and the symbols <, >, or =.

Flip Charts All About Decimals

Flip Charts All About Decimals

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

4.2.F. Write a fraction equivalent to a given fraction.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

4.2.G. Simplify fractions using common factors.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Flip Charts Our Atmosphere

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

4.2.H. Round fractions and decimals to the nearest whole number.

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding

4.2.I. Solve single- and multi-step word problems involving comparison of decimals and fractions (including mixed numbers), and verify the solutions.

Flip Charts All About Decimals

Flip Charts All About Decimals

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

Core Content: Concept of area (Geometry/Measurement, Algebra) Students learn how to find the area of a rectangle as a basis for later work with areas of other geometric figures. They select appropriate units, tools, and strategies, including formulas, and use them to solve problems involving perimeter and area. Solving such problems helps students develop spatial skills, which are critical for dealing with a wide range of geometric concepts. The study of area is closely connected to Core Content on multiplication, and connections between these concepts should be emphasized whenever possible.

4.3.A. Determine congruence of two-dimensional figures.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes

Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes

4.3.B. Determine the approximate area of a figure using square units.

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

4.3.C. Determine the perimeter and area of a rectangle using formulas, and explain why the formulas work.

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

Additional Key Content (Geometry/Measurement, Algebra, Data/Statistics/Probability) Students use coordinate grids to connect numbers to basic ideas in algebra and geometry. This connection between algebra and geometry runs throughout advanced mathematics and allows students to use tools from one branch of mathematics to solve problems related to another branch. Students also extend and reinforce their work with whole numbers and fractions to describe sets of data and find simple probabilities. Students combine measurement work with their developing ideas about multiplication and division as they do basic measurement conversions. They begin to use algebraic notation while solving problems in preparation for formalizing algebraic thinking in later grades.

4.4.A. Represent an unknown quantity in simple expressions, equations, and inequalities using letters, boxes, and other symbols.

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

Quiz, Flash Cards, Worksheet, Game & Study Guide Determine the One Operation Function

Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Open Sentences

Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Open Number Sentences

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

4.4.B. Solve single- and multi-step problems involving familiar unit conversions, including time, within either the U.S. customary or metric system.

Flip Charts Customary & Metric Units of Measurement

Flip Charts Customary & Metric Units of Measurement

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

4.4.C. Estimate and determine elapsed time using a calendar, a digital clock, and an analog clock.

Flip Charts Math Grade 5

Flip Charts Measurement: Time & Temperature

Quiz, Flash Cards, Worksheet, Game & Study Guide Time

Quiz, Flash Cards, Worksheet, Game & Study Guide Elapsed Time

4.4.D. Graph and identify points in the first quadrant of the coordinate plane using ordered pairs.

Quiz, Flash Cards, Worksheet, Game & Study Guide Coordinates

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

4.4.E. Determine the median, mode, and range of a set of data and describe what each measure indicates about the data.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

4.4.F. Describe and compare the likelihood of events.

Flip Charts Math Grade 5

Flip Charts Probability Concepts

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Core Processes: Reasoning, problem solving, and communication - Students in grade four solve problems that extend their understanding of core mathematical concepts - such as multiplication of multi-digit numbers, area, probability, and the relationships between fractions and decimals - as they make strategic decisions that bring them to reasonable solutions. Students use pictures, symbols, or mathematical language to explain the reasoning behind their decisions and solutions. They further develop their problem-solving skills by making generalizations about the processes used and applying these generalizations to similar problem situations. These critical reasoning, problem-solving, and communication skills represent the kind of mathematical thinking that equips students to use the mathematics they know to solve a growing range of useful and important problems and to make decisions based on quantitative information.

4.5.A. Determine the question(s) to be answered given a problem situation.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.B. Identify information that is given in a problem and decide whether it is essential or extraneous to the solution of the problem.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.C. Identify missing information that is needed to solve a problem.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.D. Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.E. Select and use one or more appropriate strategies to solve a problem and explain why that strategy was chosen.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.G. Explain why a specific problem-solving strategy or procedure was used to determine a solution.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

4.5.H. Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies