IXL Math - DoDEA fourth-grade math standards

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DoDEA

Skills available for DoDEA fourth-grade math standards

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4.M1 Numbers and Operations

4.M1a Explain the importance of place value in recognizing the magnitude of whole numbers up to a million and decimals through thousandths;
4.M1b Identify and generate equivalent representations for the same number by decomposing and composing the number;
- Place value: Convert to/from a number (Third grade - B.5)
- Place value: Convert between standard and expanded form (Third grade - B.8)
4.M1c Judge the size of fractions in relation to benchmarks, i.e., 0, ½, 1;
4.M1d Identify and describe numbers according to their characteristics including primes, composites, and perfect squares;
4.M1e Explore the relationships between fractions, mixed numbers, and decimals;
4.M1f Model division problems and explore the meaning of remainders;
4.M1g Use models, benchmarks, and equivalence to add and subtract fractions with like denominators;
4.M1h Use models and benchmarks to add and subtract decimals;
4.M1i Develop and apply strategies and methods for division of two-digit whole numbers by one-digit divisors;
4.M1j Use the inverse relationships of addition and subtraction, and multiplication and division to solve problems and verify solutions;
4.M1k Use estimation to make predictions and check the reasonableness of result;
4.M1l Identify, compare and order the relative position of commonly used fractions and decimals on a number line;
4.M1m Demonstrate proficiency in basic facts for all operations.

4.M2 Algebra

4.M2a Use models and words to describe, extend, and generalize patterns and relationships;
4.M2b Represent and analyze patterns and functions using words, tables, and graphs;
4.M2c Describe mathematical relationships using expressions, equations or inequalities;
4.M2d Apply order of operations and the commutative and associative properties to algebraic expressions, equations, and inequalities;
4.M2e Use and interpret variables, mathematical symbols, and properties to write and simplify mathematical expressions and sentences;
- Algebra: Write variable expressions (Fourth grade - G.1)
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)
4.M2f Develop and solve equations or inequalities using variables that represent problem situations;
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)
- Algebra: Solve variable equations (Fourth grade - G.6)
4.M2g Identify and describe patterns of change to make predictions that identify the relationship represented in a table or graph.
- Functions: Function tables (Fourth grade - H.2)
- Functions: Graph linear functions (Fourth grade - H.4)

4.M3 Geometry

4.M3a Describe attributes of planes, points, and lines, i.e., parallel and perpendicular line segments;
- Geometry: Lines, line segments, and rays (Third grade - P.10)
- Geometry: Parallel, perpendicular, intersecting (Fourth grade - P.21)
4.M3b Identify and draw right, obtuse, and acute angles;
- Geometry: Acute, right, obtuse, and straight angles (Fourth grade - P.10)
- Geometry: Angles of 90, 180, 270, and 360 degrees (Fourth grade - P.11)
4.M3c Identify and draw congruent figures;
- Geometry: Similar and congruent (Fourth grade - P.8)
4.M3d Investigate the results of subdividing, combining, and transforming shapes;
4.M3e Make and use coordinate systems to specify locations and to describe paths;
4.M3f Find the distance between points along horizontal and vertical lines of a coordinate system;
- Coordinate graphs: Relative coordinates (Fourth grade - I.2)
- Coordinate graphs: Coordinate graphs as maps (Fourth grade - I.3)
4.M3g Predict and describe transformations to show that two shapes are congruent;
- Geometry: Reflection, rotation, and translation (Fifth grade - B.7)
4.M3h Identify and describe line and rotational symmetry in two-dimensional shapes and designs;
- Geometry: Rotational symmetry (Fourth grade - P.19)
- Geometry: Lines of symmetry (Fourth grade - P.20)
4.M3i Identify geometric solids which could be composed of other solids.

4.M4 Measurement

4.M4a Recognize that measurements are approximations;
- Measurement: Choose the appropriate customary unit of measure (Fifth grade - V.1)
- Measurement: Choose the appropriate metric unit of measure (Fifth grade - V.2)
4.M4b Measure with accuracy using both customary and metric systems of measurement;
- Measurement: Compare and convert customary units (Fourth grade - N.1)
- Measurement: Compare and convert metric units (Fourth grade - N.2)
4.M4c Extend recognition of measurable attributes to include area and angles;
4.M4d Determine the possible dimensions of rectangles when the area is constant;
4.M4e Estimate measurements of perimeter, area, and angle size;
- Geometry: Perimeter (Fourth grade - P.14)
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)
4.M4f Extend use of appropriate standard tools and units to include measure of perimeter and area;
- Geometry: Perimeter (Fourth grade - P.14)
- Geometry: Area of squares and rectangles (Fourth grade - P.15)
4.M4g Explore strategies to determine the perimeter and area of right triangles;
- Geometry: Area of triangles (Fifth grade - B.16)
4.M4h Develop strategies for estimating the area of irregular shapes;
- Geometry: Area of complex figures (with all right angles) (Fourth grade - P.16)
4.M4i Determine elapsed time;
4.M4j Solve problems involving perimeter and areas of rectangles.
- Geometry: Use area and perimeter to determine cost (Fourth grade - P.18)

4.M5 Data Analysis and Probability

4.M5a Describe how data collection methods affect the information that is gathered to address a question;
4.M5b Identify the median of a data set and describe what it indicates about the data set;
- Probability and statistics: Mean, median, mode, and range (Fourth grade - U.3)
4.M5c Use the median, mode, and range to compare and contrast the characteristics of related data sets;
- 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.M5d Compare different representations of the same data to evaluate how each representation shows important aspects of the data;
4.M5e Select the appropriate data representation form for a diverse set of investigations and justify the choice in each case;
- Data, charts, and graphs: Choose the best type of graph (Fourth grade - J.7)
4.M5f Relate the concepts of impossible and certain events to the numerical values of 0 (impossible) and 1 (certain);
- Probability and statistics: Certain, probable, unlikely, and impossible (Third grade - S.1)
4.M5g Investigate experimental probability;
- Probability and statistics: Calculate probability (Fourth grade - U.1)
- Probability and statistics: Make predictions (Fourth grade - U.2)
4.M5h List and count all possible combinations using one member from each of several sets.
- Probability and statistics: Combinations (Fourth grade - U.5)