IXL Math - Indiana fourth-grade math standards

IXL Math

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Skills available for Indiana fourth-grade math standards

Indiana math standards: 2009 Indiana Academic Standards (Grades K-5)

Indiana math standards: 2000 Indiana Academic Standards (Grades K-6)

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.

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4.1 Number Sense

4.1.1 Read and write whole numbers up to 1,000,000.
- Number sense: Word names for numbers (Fourth grade - A.3)
4.1.2 Identify and write whole numbers up to 1,000,000, given a place-value model.
4.1.3 Round whole numbers up to 10,000 to the nearest ten, hundred, and thousand.
- Number sense: Rounding (Fourth grade - A.6)
4.1.4 Order and compare whole numbers using symbols for "less than" (<), "equal to" (=), and "greater than" (>).
4.1.5 Rename and rewrite whole numbers as fractions.
4.1.6 Name and write mixed numbers, using objects or pictures.
- Fractions and mixed numbers: Mixed number review (Fourth grade - Q.9)
4.1.7 Name and write mixed numbers as improper fractions, using objects or pictures.
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fourth grade - Q.10)
4.1.8 Write tenths and hundredths in decimal and fraction notations. Know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1 3/4 = 1.75).
4.1.9 Round two-place decimals to tenths or to the nearest whole number.
- Money: Round money amounts (Fourth grade - M.2)
- Decimals: Round decimals (Fourth grade - S.8)

4.2 Computation

4.2.1 Understand and use standard algorithms for addition and subtraction.
4.2.2 Represent as multiplication any situation involving repeated addition.
- Multiplication: Multiplication sentences (Third grade - E.1)
4.2.3 Represent as division any situation involving the sharing of objects or the number of groups of shared objects.
- Division: Divide by 1-digit numbers: complete the table (Fourth grade - E.6)
4.2.4 Demonstrate mastery of the multiplication tables for numbers between 1 and 10 and of the corresponding division facts.
4.2.5 Use a standard algorithm to multiply numbers up to 100 by numbers up to 10, using relevant properties of the number system.
- Multiplication: Multiply 1-digit numbers by larger numbers (Fourth grade - D.3)
- Multiplication: Choose numbers with a particular product (Fourth grade - D.11)
4.2.6 Use a standard algorithm to divide numbers up to 100 by numbers up to 10 without remainders, using relevant properties of the number system.
4.2.7 Understand the special properties of 0 and 1 in multiplication and division.
- Multiplication: Properties of multiplication (Fourth grade - D.5)
- Division: Properties of division (Fourth grade - E.3)
4.2.8 Add and subtract simple fractions with different denominators, using objects or pictures.
4.2.9 Add and subtract decimals (to hundredths), using objects or pictures.
4.2.10 Use a standard algorithm to add and subtract decimals (to hundredths).
4.2.11 Know and use strategies for estimating results of any whole-number computations.
4.2.12 Use mental arithmetic to add or subtract numbers rounded to hundreds or thousands.
- Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.6)

4.3 Algebra and Functions

4.3.1 Use letters, boxes, or other symbols to represent any number in simple expressions, equations, or inequalities (i.e., demonstrate an understanding of and the use of the concept of a variable).
4.3.2 Use and interpret formulas to answer questions about quantities and their relationships.
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)
4.3.3 Understand that multiplication and division are performed before addition and subtraction in expressions without parentheses.
- Algebra: Simplify expressions using order of operations and parentheses (Fourth grade - G.4)
4.3.4 Understand that an equation such as y = 3x + 5 is a rule for finding a second number when a first number is given.
- Functions: Function tables (Fourth grade - H.2)
- Functions: Write linear functions (Fourth grade - H.3)
4.3.5 Continue number patterns using multiplication and division.
4.3.6 Recognize and apply the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to solve problems.
- Division: Properties of division (Fourth grade - E.3)
4.3.7 Relate problem situations to number sentences involving multiplication and division.
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)
4.3.8 Plot and label whole numbers on a number line up to 100. Estimate positions on the number line.
- Number sense: Inequalities with number lines (Fourth grade - A.8)

4.4 Geometry

4.4.1 Identify, describe, and draw rays, right angles, acute angles, obtuse angles and straight angles using appropriate mathematical tools and technology.
4.4.2 Identify, describe and draw parallel, perpendicular, and oblique lines using appropriate mathematical tools and technology.
- Geometry: Parallel, perpendicular, intersecting (Fourth grade - P.21)
4.4.3 Identify, describe, and draw parallelograms, rhombuses, and trapezoids, using appropriate mathematical tools and technology.
- Geometry: Identify planar and solid figures (Fourth grade - P.1)
- Geometry: Which 2-dimensional shape is being described? (Fourth grade - P.4)
4.4.4 Identify congruent quadrilaterals and give reasons for congruence using sides, angles, parallels and perpendiculars.
- Geometry: Similar and congruent (Fourth grade - P.8)
4.4.5 Identify and draw lines of symmetry in polygons.
- Geometry: Lines of symmetry (Fourth grade - P.20)
4.4.6 Construct cubes and prisms and describe their attributes.
- Geometry: Which 3-dimensional figure is being described? (Fourth grade - P.5)
- Geometry: Nets of 3-dimensional figures (Fourth grade - P.9)

4.5 Measurement

4.5.1 Measure length to the nearest quarter-inch, eighth-inch, and millimeter.
4.5.2 Subtract units of length that may require renaming of feet to inches or meters to centimeters.
- Measurement: Add and subtract mixed customary units (Fourth grade - N.5)
4.5.3 Know and use formulas for finding the perimeters of rectangles and squares.
- Geometry: Perimeter (Fourth grade - P.14)
4.5.4 Know and use formulas for finding the areas of rectangles and squares.
- Geometry: Area of squares and rectangles (Fourth grade - P.15)
4.5.5 Estimate and calculate the area of rectangular shapes by using appropriate units, such as square centimeter (cm²), square meter (m²), square inch (in²), or square yard (yd²).
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)
4.5.6 Understand that rectangles with the same area can have different perimeters and that rectangles with the same perimeter can have different areas.
4.5.7 Find areas of shapes by dividing them into basic shapes such as rectangles.
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.16)
4.5.8 Use volume and capacity as different ways of measuring the space inside a shape.
- Geometry: Volume (Fourth grade - P.17)
4.5.9 Add time intervals involving hours and minutes.
4.5.10 Determine the amount of change from a purchase.

4.6 Data Analysis and Probability

4.6.1 Represent data on a number line and in tables, including frequency tables.
4.6.2 Interpret data graphs to answer questions about a situation.
4.6.3 Summarize and display the results of probability experiments in a clear and organized way.
- Probability and statistics: Calculate probability (Fourth grade - U.1)
- Probability and statistics: Make predictions (Fourth grade - U.2)

4.7 Problem Solving

Students make decisions about how to approach problems and communicate their ideas.
4.7.1 Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
4.7.2 Decide when and how to break a problem into simpler parts.
- Division: Divide numbers ending in zeroes, one-digit divisors (Fourth grade - E.9)
- Mixed operations: Multi-step word problems (Fourth grade - F.1)
Students use strategies, skills, and concepts in finding and communicating solutions to problems.
4.7.3 Apply strategies and results from simpler problems to solve more complex problems.
4.7.4 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, tools, and models to solve problems, justify arguments, and make conjectures.
4.7.5 Express solutions clearly and logically by using the appropriate mathematical terms and notation. Support solutions with evidence in both verbal and symbolic work.
4.7.6 Recognize the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
4.7.7 Know and use appropriate methods for estimating results of whole-number computations.
4.7.8 Make precise calculations and check the validity of the results in the context of the problem.
- Addition: Add numbers up to millions: word problems (Fourth grade - B.2)
- Subtraction: Subtract numbers up to millions: word problems (Fourth grade - C.2)
Students determine when a solution is complete and reasonable and move beyond a particular problem by generalizing to other situations.
4.7.9 Decide whether a solution is reasonable in the context of the original situation.
- Multiplication: Multiply numbers ending in zeroes: word problems (Fourth grade - D.16)
4.7.10 Note the method of finding the solution and show a conceptual understanding of the method by solving similar problems.