Algebra 1 - Mathematical Process Standards 1.net

Algebra 1 - Mathematical Process Standards

TEKS

Standard

A1.1

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

mathematical understanding. The student is expected to:

(A)

aupseplay pmroatbhlem-astoiclvsintog pmrobdleelmthsaatrinsicnogrpinoreavteersydanayallyifzein, gsogcivieetny,inafnodrmthaetiwono,rkfoprlmacuel;ating a plan or strategy,

(B)

determining a solution, justifying the solution, and evaluating the problem-solving process and the

reasonableness of the solution;

(C)

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;

(D)

communicate mathematical ideas, reasoning, and their implications using multiple representations, including

symbols, diagrams, graphs, and language as appropriate;

(E)

create and use representations to organize, record, and communicate mathematical ideas;

(F)

analyze mathematical relationships to connect and communicate mathematical ideas; and

(G)

display, explain, and justify mathematical ideas and arguments using precise mathematical language in written

or oral communication.

Activity

Notes

Algebra 1 - Linear Functions, Equations, & Inequalities

TEKS

SLitnaenadrafrudnctions, equations, and inequalities. The student applies the mathematical

Activity

Notes

process standards when using properties of linear functions to write and represent in A1.2 multiple ways, with and without technology, linear equations, inequalities, and systems of

equations. The student is expected to:

determine the domain and range of a linear function in mathematical problems;

Definitions of Functions

(A)

determine reasonable domain and range values for real-world situations, both

Exploring Domain and Range

continuous and discrete; and represent domain and range using inequalities;

Domain and Range 2

(B)

write linear equations in two variables in various forms, including y = mx + b , Ax + By = Cipher Solvers

C , and y - y 1 = m (x - x 1), given one point and the slope and given two points;

(C)

write linear equations in two variables given a table of values, a graph, and a verbal description;

Boats in Motion Dog Days or Dog Years?

(D)

write and solve equations involving direct variation;

How Does a Spring Scale Work? Dinner Party

(E)

write the equation of a line that contains a given point and is parallel to a given line;

(F)

write the equation of a line that contains a given point and is perpendicular to a given line; Cipher Solvers

This activity

provides an

exploration of

(G)

Horizontal and Vertical Lines

horizontal and vertical lines but

students do not

write an equation of a line that is parallel or perpendicular to the x- or y -axis and

write equations of

determine whether the slope of the line is zero or undefined;

lines.

(H)

write

linear

inequalities

in

two

variables

given

a

table

of

values,

a

graph,

and

a

verbal

descriptiAMopnap;xliimcaitziionng

of Linear Systems Your Efforts

(I)

write systems of two linear equations given a table of values, a graph, and a verbal descriptionBT.roaaintssiinnMMoottiioonn

Linear functions, equations, and inequalities. The student applies the mathematical

A1.3

process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology,

equdaettioenrms,iinneetqhueasliltoiepse, oafnad lsinysetgeimvesnoaf etaqbulaetoiofnvsa.luTehse, satugrdaepnht,itsweoxppeocitnetds oton:the line, and

(A)

an equation written in various forms, including y = mx + b , Ax + By = C , and y - y 1 =

Dog Days or Dog Years?

Multiple Representations

(B)

calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;

Slope as Rate

Trains in Motion Verbal to Visual: Sketching Graphs

Dog Days or Dog Years?

(C)

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;

Multiple Representations

Graphing Linear Equations

Application of Linear Systems

Exploring Graphs of Inequalities

(D)

graph the solution set of linear inequalities in two variables on the coordinate plane;

Linear Inequalities in One and Two Variables: Rays and Half

Planes

Linear Inequalities in Two Variables

determine the effects on the graph of the parent function f (x )= x when f(x )is replaced

(E)

by af (x ), f (x )+ d , f (x - c ), f (bx ) for specific values of a , b , c , and d;

Graphing Linear Equations

Boats in Motion

Systems of Equations

(F)

graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;

Trains in Motion How Many Solutions to the System?

Solving Systems by Graphing

What is a Solution to a System?

(G)

estimate graphically the solutions to systems of two linear equations with two variables in real-world problems

Boats in Motion Trains in Motion

Application of Linear Systems

(H)

graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.

Maximizing Your Efforts Systems of Linear Inequalities 1

Systems of Linear Inequalities 2

Linear functions, equations, and inequalities. The student applies the mathematical A1.4 process standards to formulate statistical relationships and evaluate their reasonableness

based on real-world data. The student is expected to:

calculate, using technology, the correlation coefficient between two quantitative

Does a Correlation Exist?

(A)

variables and interpret this quantity as a measure of the strength of the linear

Investigating Correlation

association;

Influencing Regression

(B)

compare and contrast association and causation in real-world problems;

Lines of Fit Exploring Bivariate Data

Scatterplot Plus Rates

(C)

write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

Monopoly and Regression Tootsie Pops & Hand Span

Dog Days or Dog Years?

Linear functions, equations, and inequalities. The student applies the mathematical

A1.5 process standards to solve, with and without technology, linear equations and evaluate

the reasonableness of their solutions. The student is expected to:

(A)

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;

Visualizing Equations From Expressions to Equations Variables on Both Sides

(B)

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 in One and Two Variables: Rays and Half Planes

Solving Systems by the

Elimination Method

(C)

solve systems of two linear equations with two variables for mathematical and real-world problems.

Boats in Motion Trains in Motion How Many Solutions to the System?

Solving Systems by Graphing

What is a Solution to a System?

Algebra 1 - Quadratic Functions & Equations

TEKS

Standard

Quadratic functions and equations. The student applies the mathematical process standards when using A1.6 properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic

equations. The student is expected to:

(A)

determine the domain and range of quadratic functions and represent the domain and range using inequalities;

write equations of quadratic functions given the vertex and another point on the graph, write the equation in

(B)

vertex form (f (x )= a (x - h )^2+ k ), and rewrite the equation from vertex form to standard form (f (x)= ax ^2+ bx +

c ); and

(C)

write quadratic functions when given real solutions and graphs of their related equations.

Quadratic functions and equations. The student applies the mathematical process standards when using graphs of A1.7 quadratic functions and their related transformations to represent in multiple ways and determine, with and

without technology, the solutions to equations. The student is expected to:

graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible,

(A)

including x -intercept, y -intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis

of symmetry;

(B)

describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions;

(C)

determine the effects on the graph of the parent function f (x )= x ^2 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 .

Activity

Notes

Maximizing the Area of a Garden Exploring Domain and Range Domain and Range 2

Vertex and Factored Form of Quadratic Functions

Vertex and Factored Form of Quadratic Functions Zeros of a Quadratic Function

Zeros of a Quadratic Function

Modeling with a Quadratic Function

Discriminant Testing

Parabolic Paths

Standard Form of Quadratic Functions

Zeros of a Quadratic Function

Products of Linear Functions Vertex and Factored Form of Quadratic Functions Exploring Polynomials - Factors, Roots, and Zeros Transformations of a Quadratic Function Standard Form of Quadratic Functions Parabolic Paths Transformations of Functions 2 Vertex and Factored Form of Quadratic Functions

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download