| A | B | C | D | E | F | G | H | I | ||
|---|---|---|---|---|---|---|---|---|---|---|
1 | TEKS | RC | R/S | Algebra 1 student expectation - Free math resources | Activities | Video | Video | Video | Video | |
2 | A.2A | 3 | R | determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities; | Blog | Domain and Range of Linear Functions | Domain and Range of Real-world Situations | |||
3 | A.2B | 3 | S | write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m (x - x1), given one point and the slope and given two points; | Writing Linear Equations Given a Point and the Slope | Writing Linear Equations Given Two Points | ||||
4 | A.2C | 3 | R | write linear equations in two variables given a table of values, a graph, and a verbal description; | Writing Linear Equations Given a Graph | Writing Linear Equations Given a Table of Values | Writing Linear Equations Given a Verbal Description | |||
5 | A.2D | 3 | S | write and solve equations involving direct variation; | Direct Variation | |||||
6 | A.2E | 3 | S | write the equation of a line that contains a given point and is parallel to a given line; | Equations for Parallel Lines | |||||
7 | A.2F | 3 | S | write the equation of a line that contains a given point and is perpendicular to a given line; | Equations for Perpendicular Lines | |||||
8 | A.2G | 3 | S | write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined; | Lines Parallel or Perpendicular to Axes | |||||
9 | A.2H | 3 | S | write linear inequalities in two variables given a table of values, a graph, and a verbal description; and | Writing Inequalities From Verbal Descriptions | Writing Inequalities From Graphs | ||||
10 | A.2I | 3 | R | write systems of two linear equations given a table of values, a graph, and a verbal description. | Blog | Writing Systems of Equations from Graphs | Writing Systems of Equations from Tables | Writing Systems of Equations from Verbal Descriptions | ||
11 | A.3A | 2 | S | determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1 = m (x - x1 ); | Determining Slope | |||||
12 | A.3B | 2 | R | calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems; | Rate of Change on Graphs | Rate of Change on Tables | Rate of Change in Equations | |||
13 | A.3C | 2 | R | graph linear functions on the coordinate plane and identify key features, including x- intercept, y- intercept, zeros, and slope, in mathematical and real-world problems; | Graphing Functions | Intercepts, Zeros, and Slope | Interpreting Intercepts | |||
14 | A.3D | 2 | R | graph the solution set of linear inequalities in two variables on the coordinate plane; | Graphing Inequalities | Solution Sets of Graphed Inequalities | ||||
15 | A.3E | 2 | S | determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d; | Graph Transformations | |||||
16 | A.3F | 2 | S | graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist; | Solutions for Systems of Equations | |||||
17 | A.3G | 2 | S | estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and | Real-world Systems of Equations | |||||
18 | A.3H | 2 | S | graph the solution set of systems of two linear inequalities in two variables on the coordinate plane. | Solutions for Systems of Inequalities | |||||
19 | A.4A | 2 | S | calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association; | Calculating Correlation Coefficient | |||||
20 | A.4B | 2 | S | compare and contrast association and causation in real-world problems; and | Association and Causation | |||||
21 | A.4C | 2 | S | write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. | Writing Linear Functions | |||||
22 | A.5A | 3 | R | solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; | Blog | Linear Equations and the Distributive Property | ||||
23 | A.5B | 3 | S | solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and | Linear Inequalities and the Distributive Property | |||||
24 | A.5C | 3 | R | solve systems of two linear equations with two variables for mathematical and real-world problems. | Blog | Solving Mathematical Systems of Equations | Solving Real-world Systems of Equations | |||
25 | A.6A | 4 | R | determine the domain and range of quadratic functions and represent the domain and range using inequalities; | Blog | Quadratic Domain and Range - Graphs | Quadratic Domain and Range - Tables | Quadratic Domain and Range - Equations | ||
26 | A.6B | 4 | S | write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax2 + bx + c); and | Writing Quadratic Equations | |||||
27 | A.6C | 4 | S | write quadratic functions when given real solutions and graphs of their related equations. | Solutions, Graphs, and Quadratic Functions | |||||
28 | A.7A | 4 | R | graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x- intercept, y- intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry; | Min/Max Values of Quadratic Function Graphs | Intercepts and Zeros of Quadratic Function Graphs | Axis of Symmetry of Quadratic Function Graphs | |||
29 | A.7B | 4 | S | describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and | Zeros of Quadratic Functions | |||||
30 | A.7C | 4 | R | determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d. | Blog | Parent Functions | ||||
31 | A.8A | 4 | R | solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and | Blog | Solving Quadratic Equations by Factoring and Square Roots | Solving Quadratic Equations by Completing the Square | Solving Quadratic Equations with the Quadratic Formula | ||
32 | A.8B | 4 | S | write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems. | Real-world Quadratic Functions | |||||
33 | A.9A | 5 | S | determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities; | Domain and Range of Exponential Functions | |||||
34 | A.9B | 5 | S | interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems; | Interpreting Exponential Functions | |||||
35 | A.9C | 5 | R | write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay; | Blog | Writing Exponential Functions from Tables | Writing Exponential Functions from Real-world Situations | Writing Exponential Functions from Graphs | ||
36 | A.9D | 5 | R | graph exponential functions that model growth and decay and identify key features, including y- intercept and asymptote, in mathematical and real-world problems; and | Blog | Graphing Exponential Functions | Features of Exponential Function Graphs | |||
37 | A.9E | 5 | S | write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems. | Exponential Regression | |||||
38 | A.10A | 1 | S | add and subtract polynomials of degree one and degree two; | Adding and Subtracting Polynomials | |||||
39 | A.10B | 1 | S | multiply polynomials of degree one and degree two; | Multiplying Polynomials | |||||
40 | A.10C | 1 | S | determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend; | Dividing Polynomials | |||||
41 | A.10D | 1 | S | rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property; | Rewriting Polynomials | |||||
42 | A.10E | 1 | R | factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two; and | Factoring Trinomials | |||||
43 | A.10F | 1 | S | decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial. | Difference of Squares | |||||
44 | A.11A | 1 | S | simplify numerical radical expressions involving square roots; and | Simplifying Square Roots | |||||
45 | A.11B | 1 | R | simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. | Blog | Multiplying Powers | Dividing Powers | Power of a Power and Negative Powers | Rational Exponents | |
46 | A.12A | 1 | S | decide whether relations represented verbally, tabularly, graphically, and symbolically define a function; | Identifying Functions | |||||
47 | A.12B | 1 | S | evaluate functions, expressed in function notation, given one or more elements in their domains; | Evaluating Functions | |||||
48 | A.12C | 1 | S | identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes; | Recursive Sequences | |||||
49 | A.12D | 1 | S | write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms; and | Writing Recursive Sequences | |||||
50 | A.12E | 1 | S | solve mathematic and scientific formulas, and other literal equations, for a specified variable. | Properties of Equality |