IXL Math - Washington fourth-grade math standards

IXL Math

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Skills available for Washington fourth-grade math standards

Washington math standards: 2008 Washington Standards (Grades K-6)

Washington math standards: 2006 Washington Grade Level Expectations (Grades K-5)

Standards are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.

Printable version

4.1 Multi-digit multiplication

4.1.A Quickly recall multiplication facts through 10 X 10 and the related division facts.
4.1.B Identify factors and multiples of a number.
- Number theory: Greatest common factor (Fifth grade - K.5)
- Number theory: Least common multiple (Fifth grade - K.6)
4.1.C Represent multiplication of a two-digit number by a two-digit number with place value models.
- Multiplication: Multiply a 2-digit number by a 2-digit number: complete the missing steps (Fourth grade - D.8)
4.1.D Multiply by 10, 100, and 1,000.
- Multiplication: Multiply numbers ending in zeroes (Fourth grade - D.15)
- Multiplication: Multiply numbers ending in zeroes: word problems (Fourth grade - D.16)
4.1.E Compare the values represented by digits in whole numbers using place value.
- Number sense: Place values (Fourth grade - A.1)
- Number sense: Convert between place values (Fourth grade - A.2)
4.1.F Fluently and accurately multiply up to a three-digit number by one- and two-digit numbers using the standard multiplication algorithm.
4.1.G Mentally multiply two-digit numbers by numbers through 10 and by multiples of 10.
- Multiplication: Multiply 1-digit numbers by larger numbers (Fourth grade - D.3)
- Multiplication: Multiplication patterns over increasing place values (Fourth grade - D.4)
4.1.H Estimate products to approximate solutions to problems and determine reasonableness of answers.
- Multiplication: Estimate products (Fourth grade - D.6)
- Multiplication: Estimate products: word problems (Fourth grade - D.7)
4.1.I Solve single- and multi-step word problems involving multi-digit multiplication and verify the solutions.
4.1.J Solve single- and multi-step word problems involving division and verify the solutions.

4.2 Fractions, decimals, and mixed numbers

4.2.A Represent decimals through hundredths with place value models, fraction equivalents, and the number line.
- Decimals: What decimal number is illustrated? (Fourth grade - S.1)
- Decimals: Place values in decimal numbers (Fourth grade - S.3)
4.2.B Read, write, compare, and order decimals through hundredths.
4.2.C Convert a mixed number to a fraction and vice versa, and visually represent the number.
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fourth grade - Q.10)
4.2.D Convert a decimal to a fraction and vice versa, and visually represent the number.
- Decimals: Convert fractions and mixed numbers to decimals (Fourth grade - S.5)
- Decimals: Convert decimals to fractions and mixed numbers (Fourth grade - S.6)
4.2.E Compare and order decimals and fractions (including mixed numbers) on the number line, lists, and the symbols <, >, or =.
4.2.F Write a fraction equivalent to a given fraction.
- Fractions and mixed numbers: Equivalent fractions (Fourth grade - Q.1)
- Fractions and mixed numbers: Patterns of equivalent fractions (Fourth grade - Q.2)
4.2.G Simplify fractions using common factors.
- Fractions and mixed numbers: Reduce fractions to simplest form (Fourth grade - Q.3)
4.2.H Round fractions and decimals to the nearest whole number.
- Money: Round money amounts (Fourth grade - M.2)
- Decimals: Round decimals (Fourth grade - S.8)
4.2.I Solve single- and multi-step word problems involving comparison of decimals and fractions (including mixed numbers), and verify the solutions.
- Add and subtract fractions: Recipes (Fourth grade - R.14)
- Decimals: Solve decimal problems using diagrams (Fourth grade - S.12)

4.3 Concept of area

4.3.A Determine congruence of two-dimensional figures.
- Geometry: Similar and congruent (Fourth grade - P.8)
4.3.B Determine the approximate area of a figure using square units.
- Geometry: Area of squares and rectangles (Fourth grade - P.15)
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.16)
4.3.C Determine the perimeter and area of a rectangle using formulas, and explain why the formulas work.
- Geometry: Perimeter (Fourth grade - P.14)
4.3.D Determine the areas of figures that can be broken down into rectangles.
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.16)
4.3.E Demonstrate that rectangles with the same area can have different perimeters, and that rectangles with the same perimeter can have different areas.
4.3.F Solve single- and multi-step word problems involving perimeters and areas of rectangles and verify the solutions.
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)

4.4 Additional Key Content

4.4.A Represent an unknown quantity in simple expressions, equations, and inequalities using letters, boxes, and other symbols.
4.4.B Solve single- and multi-step problems involving familiar unit conversions, including time, within either the U.S. customary or metric system.
4.4.C Estimate and determine elapsed time using a calendar, a digital clock, and an analog clock.
4.4.D Graph and identify points in the first quadrant of the coordinate plane using ordered pairs.
4.4.E Determine the median, mode, and range of a set of data and describe what each measure indicates about the data.
- Probability and statistics: Mean, median, mode, and range (Fourth grade - U.3)
- Probability and statistics: Interpret charts to find mean, median, mode, and range (Fourth grade - U.4)
4.4.F Describe and compare the likelihood of events.
- Probability and statistics: Calculate probability (Fourth grade - U.1)
- Probability and statistics: Make predictions (Fourth grade - U.2)
4.4.G Determine a simple probability from a context that includes a picture.
- Probability and statistics: Calculate probability (Fourth grade - U.1)
4.4.H Display the results of probability experiments and interpret the results.

4.5 Reasoning, problem solving, and communication

4.5.A Determine the question(s) to be answered given a problem situation.
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.
- Mixed operations: Word problems with extra or missing information (Fourth grade - F.3)
4.5.C Identify missing information that is needed to solve a problem.
- Mixed operations: Word problems with extra or missing information (Fourth grade - F.3)
4.5.D Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
- Logical reasoning: Guess two numbers based on sum and difference (Fourth grade - K.1)
- Logical reasoning: Guess two numbers based on sum, difference, product, and quotient (Fourth grade - K.2)
4.5.E Select and use one or more appropriate strategies to solve a problem and explain why that strategy was chosen.
- Mixed operations: Solve word problems using guess-and-check (Fourth grade - F.4)
- Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.6)
4.5.F Represent a problem situation using words, numbers, pictures, physical objects, or symbols.
4.5.G Explain why a specific problem-solving strategy or procedure was used to determine a solution.
4.5.H Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
- Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.7)
4.5.I Summarize mathematical information, draw conclusions, and explain reasoning.
4.5.J Make and test conjectures based on data (or information) collected from explorations and experiments.