Gizmos for Texas - Mathematics: 5th Grade (Essential Knowledge and Skills adopted 2012)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

5.1: : Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding.

5.1.A: : The student is expected to: apply mathematics to problems arising in everyday life, society, and the workplace;

5.1.B: : The student is expected to: use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;

5.1.C: : The student is expected to: select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;

5.1.D: : The student is expected to: communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;

5.1.E: : The student is expected to: create and use representations to organize, record, and communicate mathematical ideas;

5.1.F: : The student is expected to: analyze mathematical relationships to connect and communicate mathematical ideas; and

5.1.G: : The student is expected to: display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

5.2: : Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.

5.2.A: : The student is expected to: represent the value of the digit in decimals through the thousandths using expanded notation and numerals;

5.2.B: : The student is expected to: compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.

5.3: : Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy.

5.3.A: : The student is expected to: estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;

5.3.C: : The student is expected to: solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;

5.3.D: : The student is expected to: represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;

5.3.E: : The student is expected to: solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;

5.3.H: : The student is expected to: represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;

5.3.I: : The student is expected to: represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;

5.3.J: : The student is expected to: represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 divided by 7 and 7 divided by 1/3 using objects and pictorial models, including area models;

5.3.K: : The student is expected to: add and subtract positive rational numbers fluently; and

5.3.L: : The student is expected to: divide whole numbers by unit fractions and unit fractions by whole numbers.

5.4: : Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations.

5.4.A: : The student is expected to: identify prime and composite numbers;

5.4.C: : The student is expected to: generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph;

5.4.D: : The student is expected to: recognize the difference between additive and multiplicative numerical patterns given in a table or graph;

5.4.E: : The student is expected to: describe the meaning of parentheses and brackets in a numeric expression;

5.4.F: : The student is expected to: simplify numerical expressions that do not involve exponents, including up to two levels of grouping;

5.4.G: : The student is expected to: use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh); and

5.4.H: : The student is expected to: represent and solve problems related to perimeter and/or area and related to volume.

5.6: : Geometry and measurement. The student applies mathematical process standards to understand, recognize, and quantify volume.

5.6.A: : The student is expected to: recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; and

5.6.B: : The student is expected to: determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.

5.7: : Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement.

5.7.A: : The student is expected to: solve problems by calculating conversions within a measurement system, customary or metric.

5.8: : Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane.

5.8.A: : The student is expected to: describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin;

5.8.B: : The student is expected to: describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; and

5.8.C: : The student is expected to: graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.

5.9: : Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data.

5.9.A: : The student is expected to: represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots;

5.9.B: : The student is expected to: represent discrete paired data on a scatterplot; and

5.9.C: : The student is expected to: solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.

Correlation last revised: 2/10/2025

Texas - Mathematics: 5th Grade

Essential Knowledge and Skills | Adopted: 2012