# Academic standards list

### Bridge Math — Mathematics

### Introduction

Academic standards define the expectations for knowledge and skills that students are to learn in a subject by a certain age or at the end of a school grade level. This page contains a list of standards for a specific content area, grade level, and/or course. The list of standards may be structured using categories and sub-categories.

### The Real Number System

TSS.Math.B.N.RN — Conceptual Category: Number and Quantity

Use properties of rational and irrational numbers.

### Quantities

TSS.Math.B.N.Q — Conceptual Category: Number and Quantity

Reason quantitatively and use units to solve problems.

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and…

### The Complex Number System

TSS.Math.B.N.CN — Conceptual Category: Number and Quantity

Perform arithmetic operations with complex numbers.

Know there is a complex number i such that i 2 = -1, and every complex number has the form a + bi with a and b real.

Know and use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

### Seeing Structure in Expressions

TSS.Math.B.A.SSE — Conceptual Category: Algebra

Write expressions in equivalent forms to solve problems.

Use properties of multiplication and division to solve problems containing scientific notation.

Use algebraic structures to solve problems involving proportional reasoning in real-world context.

### Arithmetic with Polynomials and Rational Expressions

TSS.Math.B.A.APR — Conceptual Category: Algebra

Perform arithmetic operations on polynomials.

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and…

Understand the relationship between zeros and factors of polynomials.

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the…

### Creating Equations

TSS.Math.B.A.CED — Conceptual Category: Algebra

Create equations that describe numbers or relationships.

Create equations and inequalities in one variable and use them to solve real-world problems.

Create equations in two or more variables to represent relationships between quantities.

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

### Reasoning with Equations and Inequalities

TSS.Math.B.A.REI — Conceptual Category: Algebra

Understand solving equations as a process of reasoning and explain the reasoning.

Build functions and write expressions, equations, and inequalities for common algebra settings leading to a solution in context (e.g., rate and distance…

Solve equations and inequalities in one variable.

Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots, completing the square,…

Solve systems of equations.

Solve and explain the solutions to a system of equations using a variety of representations including combinations of linear and non-linear equations.

Represent and solve equations and inequalities graphically.

Solve a linear inequality using multiple methods and interpret the solution as it applies to the context.

### Interpreting Functions

TSS.Math.B.F.IF — Conceptual Category: Functions

Understand the concept of a function and use function notation.

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of…

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Interpret functions that arise in applications in terms of the context.

Analyze functions using different representations.

Graph linear, quadratic, absolute value, and piecewise functions expressed symbolically and show key features of the graph, by hand in simple cases and…

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

### Similarity, Right Triangles, And Trigonometry

TSS.Math.B.G.SRT — Conceptual Category: Geometry

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Apply properties of 30 degrees 60 degrees 90 degrees, 45 degrees 45 degrees 90 degrees, similar, and congruent triangles.

### Circles

TSS.Math.B.G.C — Conceptual Category: Geometry

Find arc lengths and areas of sectors of circles.

Apply a variety of strategies to determine the area and circumference of circles after identifying necessary information.

### Geometric Measurement and Dimension

TSS.Math.B.G.GMD — Conceptual Category: Geometry

Visualize relationships between two-dimensional and three-dimensional objects.

Use relationships involving area, perimeter, and volume of geometric figures to compute another measure.

### Modeling with Geometry

TSS.Math.B.G.MG — Conceptual Category: Geometry

Apply geometric concepts in modeling situations.

### Interpreting Categorical and Quantitative Data

TSS.Math.B.S.ID — Conceptual Category: Statistics and Probability

Summarize, represent, and interpret data on a single count or measurement variable.

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of…

Summarize, represent, and interpret data on two categorical and quantitative variables.

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

*There are 1 components within this standard*.Interpret linear models.

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

### Conditional Probability and the Rule of Probability.

TSS.Math.B.S.CP — Conceptual Category: Statistics and Probability

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

♦ Academic Standards marked with a diamond are "

*Supporting Content*" within the grade level or course.

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