IXL Math - Texas fifth-grade math standards

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Skills available for Texas fifth-grade math standards

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5.NO Number, operation, and quantitative reasoning.

5.111.17.5.1 The student uses place value to represent whole numbers and decimals.
5.111.17.5.1.A use place value to read, write, compare, and order whole numbers through the 999,999,999,999; and
5.111.17.5.1.B use place value to read, write, compare, and order decimals through the thousandths place.
5.111.17.5.2 The student uses fractions in problem-solving situations.
5.111.17.5.2.A generate a fraction equivalent to a given fraction such as 1/2 and 3/6 or 4/12 and 1/3;
- Fractions and mixed numbers: Equivalent fractions (Fifth grade - L.2)
- Fractions and mixed numbers: Reduce fractions to simplest form (Fifth grade - L.3)
5.111.17.5.2.B generate a mixed number equivalent to a given improper fraction or generate an improper fraction equivalent to a given mixed number;
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fifth grade - L.4)
5.111.17.5.2.C compare two fractional quantities in problem-solving situations using a variety of methods, including common denominators; and
5.111.17.5.2.D use models to relate decimals to fractions that name tenths, hundredths, and thousandths.
5.111.17.5.3 The student adds, subtracts, multiplies, and divides to solve meaningful problems.
5.111.17.5.3.A use addition and subtraction to solve problems involving whole numbers and decimals;
5.111.17.5.3.B use multiplication to solve problems involving whole numbers (no more than three digits times two digits without technology);
5.111.17.5.3.C use division to solve problems involving whole numbers (no more than two-digit divisors and three-digit dividends without technology), including interpreting the remainder within a given context;
5.111.17.5.3.D identify common factors of a set of whole numbers; and
- Number theory: Greatest common factor (Fifth grade - K.5)
5.111.17.5.3.E model situations using addition and/or subtraction involving fractions with like denominators using concrete objects, pictures, words, and numbers.
5.111.17.5.4 The student estimates to determine reasonable results.
5.111.17.5.4.A The student is expected to use strategies, including rounding and compatible numbers to estimate solutions to addition, subtraction, multiplication, and division problems.

5.PAT Patterns, relationships, and algebraic thinking.

5.111.17.5.5 The student makes generalizations based on observed patterns and relationships.
5.111.17.5.5.A describe the relationship between sets of data in graphic organizers such as lists, tables, charts, and diagrams; and
5.111.17.5.5.B identify prime and composite numbers using concrete objects, pictorial models, and patterns in factor pairs.
- Number theory: Prime and composite numbers (Fifth grade - K.1)
- Number theory: Prime factorization (Fifth grade - K.2)
5.111.17.5.6 The student describes relationships mathematically.
5.111.17.5.6.A The student is expected to select from and use diagrams and equations such as y = 5 + 3 to represent meaningful problem situations.

5.GEO Geometry and spatial reasoning.

5.111.17.5.7 The student generates geometric definitions using critical attributes.
5.111.17.5.7.A The student is expected to identify essential attributes including parallel, perpendicular, and congruent parts of two- and three-dimensional geometric figures.
5.111.17.5.8 The student models transformations.
5.111.17.5.8.A sketch the results of translations, rotations, and reflections on a Quadrant I coordinate grid; and
- Geometry: Reflection, rotation, and translation (Fifth grade - B.7)
5.111.17.5.8.B identify the transformation that generates one figure from the other when given two congruent figures on a Quadrant I coordinate grid.
5.111.17.5.9 The student recognizes the connection between ordered pairs of numbers and locations of points on a plane.
5.111.17.5.9.A The student is expected to locate and name points on a coordinate grid using ordered pairs of whole numbers.
- Coordinate graphs: Coordinate graphs review - whole numbers only (Fifth grade - Q.1)
- Coordinate graphs: Location and relative coordinates on maps (Fifth grade - Q.3)

5.MEA Measurement.

5.111.17.5.10 The student applies measurement concepts involving length (including perimeter), area, capacity/volume, and weight/mass to solve problems.
5.111.17.5.10.A perform simple conversions within the same measurement system (SI (metric) or customary);
5.111.17.5.10.B connect models for perimeter, area, and volume with their respective formulas; and
5.111.17.5.10.C select and use appropriate units and formulas to measure length, perimeter, area, and volume.
- Measurement: Choose the appropriate customary unit of measure (Fifth grade - V.1)
- Measurement: Choose the appropriate metric unit of measure (Fifth grade - V.2)
5.111.17.5.11 The student applies measurement concepts. The student measures time and temperature (in degrees Fahrenheit and Celsius).
5.111.17.5.11.A solve problems involving changes in temperature; and
- Measurement: Reasonable temperature - Celsius and Fahrenheit (Fifth grade - V.10)
5.111.17.5.11.B solve problems involving elapsed time.

5.PROB Probability and statistics.

5.111.17.5.12 The student describes and predicts the results of a probability experiment.
5.111.17.5.12.A use fractions to describe the results of an experiment;
- Probability and statistics: Probabilities of compound events (Fifth grade - X.7)
5.111.17.5.12.B use experimental results to make predictions; and
- Probability and statistics: Calculate probability (Fifth grade - X.4)
- Probability and statistics: Make predictions (Fifth grade - X.5)
5.111.17.5.12.C list all possible outcomes of a probability experiment such as tossing a coin.
- Probability and statistics: Combinations (Fifth grade - X.6)
5.111.17.5.13 The student solves problems by collecting, organizing, displaying, and interpreting sets of data.
5.111.17.5.13.A use tables of related number pairs to make line graphs;
- Data, charts, and graphs: Line graphs (Fifth grade - R.2)
5.111.17.5.13.B describe characteristics of data presented in tables and graphs including median, mode, and range; and
5.111.17.5.13.C graph a given set of data using an appropriate graphical representation such as a picture or line graph.

5.PROC Underlying processes and mathematical tools.

5.111.17.5.14 The student applies Grade 5 mathematics to solve problems connected to everyday experiences and activities in and outside of school.
5.111.17.5.14.A identify the mathematics in everyday situations;
5.111.17.5.14.B solve problems that incorporate understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness;
5.111.17.5.14.C select or develop an appropriate problem-solving plan or strategy, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem; and
5.111.17.5.14.D use tools such as real objects, manipulatives, and technology to solve problems.
5.111.17.5.15 The student communicates about Grade 5 mathematics using informal language.
5.111.17.5.15.A explain and record observations using objects, words, pictures, numbers, and technology; and
5.111.17.5.15.B relate informal language to mathematical language and symbols.
- Algebra: Write variable expressions (Fifth grade - P.2)
- Algebra: Write linear functions (Fifth grade - P.9)
5.111.17.5.16 The student uses logical reasoning.
5.111.17.5.16.A make generalizations from patterns or sets of examples and nonexamples; and
5.111.17.5.16.B justify why an answer is reasonable and explain the solution process.