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Rice University School Mathematics Project
 

Deconstructing the Language of Mathematics in the Revised TEKS for Middle School

Mathematics teachers who participated in Rice University School Mathematics Project's 2014 Spring Networking Conference on February 1 provided material for this wonderful resource for K-12 Texas mathematics teachers. Attendees identified mathematical terms new to their grade level in the revised TEKS; these terms are bold typed.  

TEKS Revised Language   Reporting Category
7.2 Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.
Number and Operations
7.3A Add, subtract, multiply, and divide rational numbers fluently.
Number and Operations
7.3B Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.       
Number and Operations
7.4C Determine the constant of proportionality (k = y/x) within mathematical and real-world problems.
Proportionality
7.4E Convert between measurement systems, including the use of proportions and the use of unit rates.
Proportionality
7.5B Describe π as the ratio of the circumference of a circle to its diameter.
Proportionality
7.6B Select and use different simulations to represent simple and compound events with and without technology.
Proportionality
7.6E Find the probabilities of a simple event and its complement and describe the relationship between the two.
Proportionality
7.6G Solve problems using data in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.
Proportionality
7.6H Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
Proportionality
7.6I Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
Proportionality
7.7 Represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.
Expressions, Equations and Relationships
7.8A Model the relationship between the volume of a rectangular prism and rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas.  
Expressions, Equations and Relationships
7.8B Explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas.  
Expressions, Equations and Relationships
7.9A Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.
Expressions, Equations and Relationships
7.9D Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.  
Expressions, Equations and Relationships
7.10A Write one-variable, two-step equations and inequalities to represent constraints  or conditions within problems.
Expressions, Equations and Relationships
7.10B Represent solutions for one-variable, two-step equations and inequalities on number lines.
Expressions, Equations and Relationships
7.10C Write a corresponding real-world problem given a one-variable, two-step equation or inequality.
Expressions, Equations and Relationships
7.11A Model and solve one-variable, two-step equations and inequalities.
Expressions, Equations and Relationships
7.11B Determine if the given value(s) make(s) one-variable, two-step equations and inequalities true.
Expressions, Equations and Relationships
7.11C Write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.
Expressions, Equations and Relationships
7.12A Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads.
Measurement and Data
7.12C Compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.
Measurement and Data
7.13 Financial literacy terms                                                                       
Personal Financial Literacy




8.2A Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers.
Number and Operations
8.3A Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation.
Proportionality
8.4B Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship.
Proportionality
8.4C Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.
Proportionality
8.4A Use similar right triangles to develop an understanding that slope, m given as the rate comparing the change in y-values to the change in x-values, (y2-y1)/(x2-x1) is the same for any two points (x1,y1) and (x2, y2) on the same line.
Proportionality
8.5C Contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation.
Proportionality
8.5G Identify functions using sets of ordered pairs, tables, mappings, and graphs.
Proportionality
8.7D Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
Expressions, Equations, and Relationships
8.8A Write one-variable equation or inequalities with variables on both sides that represent problems using rational number coefficients and constants.
Expressions, Equations, and Relationships
8.8B Write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants.
Expressions, Equations, and Relationships
8.8C Model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants.
Expressions, Equations, and Relationships
8.8D Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Expressions, Equations, and Relationships
8.9A Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.
Expressions, Equations, and Relationships
8.10A Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane.
Two-dimensional Shapes
8.10B Differentiate between transformations that preserve congruence and those that do not.
Two-dimensional Shapes
8.10C Explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation.
Two-dimensional Shapes
8.11B Determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points.
Measurement and Data
8.11C Simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample
being representative of the population from which it was selected.

Measurement and Data
8.12 Financial literacy terms
Personal Financial Literacy