Algebra 1 Scope and Sequence

Math:Algebra 1
Term: 1
The student uses mathematical processes to acquire and demonstrate mathematical understanding.
Solving Equations; Intro to Functions and Linear Functions; Forms of Linear Equations
Days
TEKS
Student Expectation
3
A.5(A)
Readiness
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
A.5(B)
Supporting
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
2
A.12(E)
Supporting
Solve mathematic and scientific formulas, and other literal
equations, for a specified variable
2.3
7
A.2(A)
Readiness
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
3.1; 3.2; 3.3;
3.4
A.12(A)
Supporting
Decide whether relations represented verbally, tabularly,
graphically, and symbolically define a function
3.2
A.12(B)
Supporting
Evaluate functions, expressed in function notation, given one
or more elements in their domains
3.3
1
A.12(C)Arith
Supporting
Identify terms of arithmetic and geometric sequences when
the sequences are given in function form using recursive
processes
4.1; 4.2
1
A.12(D)Arith
Write a formula for the nth term of arithmetic and geometric
sequences, given the value of several of their terms.
4.2; 4.3
2
A.3(A)
Supporting
Determine the slope of a line given a table of values, a graph,
two points on the line, and and equation written in various
forms, including y = mx + b, Ax + By = C, and
y - y1 = m(x - x1)
5.3
A.3(B)
Readiness
Calculate the rate of change of a linear function represented
tabularly, graphically, or algebraically
5.3
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
1.1; 2.1; 2.2
Page 1 of 7
Solving Equations; Intro to Functions and Linear Functions; Forms of Linear Equations
Days
TEKS
3
A.3(C)
Readiness
Student Expectation
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
5.1, 5.2
2
A.3(E)
Supporting
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
6.4
5
A.2(B)
Supporting
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
6.1; 6.2; 6.3
A.2(C)
Readiness
Write linear equations in two variables given a table of values,
a graph, and a verbal description
6.1
2
A.3(E)
Supporting
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
6.4; 6.5
1
A.2(D)
Supporting
Write and solve equations involving direct variation
5.4
3
A.2(E)
Supporting
Write the equation of a line that contains a given point and is
parallel to a given line
7.1
A.2(F)
Supporting
Write the equation of a line that contains a given point and is
perpendicular to a given line
7.1
A.2(G)
Supporting
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
7.1
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
Page 2 of 7
Math:Algebra 1
Term: 2
The student uses mathematical processes to acquire and demonstrate mathematical understanding.
Describing and Graphing Linear Equations, Inequalities & Systems of Equations
Days
TEKS
3
A.2(H)
Supporting
Write linear inequalities in two variables given a table of
values, a graph, and a verbal description
7.3
A.3(D)
Readiness
Graph the solution set of linear inequalities in two variables on
the coordinate plane
7.3
2
A.4(B)
Supporting
Compare and contrast association and causation in real-world
problems
8.1
2
A.4(A)
Supporting
Calculate, using technology, the correlation coefficient
between two quantitative variables and interpret this quantity
as a measure of the strength of the linear association
8.2
A.4(C)
Supporting
Write, with and without technology, linear functions that
provide a reasonable fit to data to estimate solutions and make
predictions for real-world problems
8.2
A.12(C)Geom
Supporting
Identify terms of arithmeic and geometric sequences when the
sequ3ences are given in fucntion form using recursive
processes.
12.1; 12.2
A.12(D)Geom
Supporting
Write a formula for the nth term of arithmetic and geometric
sequences, given the value of several of their terms
12.1; 12.2
A.9(B)
Supporting
Interpret the meaning of the values of a and b in exponential
functions of the form
f(x) = abx in real-world problems
12.3
A.9(C)
Readiness
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
12.3
A.9(A)
Supporting
Determine the domain and range of exponential functions of
the form f(x) = abx and represent the domain and range using
inequalities
12.4
2
2
1
Student Expectation
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
Page 3 of 7
Describing and Graphing Linear Equations, Inequalities & Systems of Equations
Days
TEKS
1
A.9(D)
Readiness
Student Expectation
Graph exponential functions that model growth and decay and
identify key features, including y intercept and asymptote, in
mathematical and real-world problems
2
A.9(E)
Supporting
Write, using technology, exponential functions that provide a
reasonable fit to data and make predictions for real-world
problems
5
A.11(A)
Supporting
Simplify numerical radical expressions involving square roots.
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
13.2
11.1; 11.2
Page 4 of 7
Math:Algebra 1
Term: 3
The student uses mathematical processes to acquire and demonstrate mathematical understanding.
Rational Exponents; Polynomial Operations; Quadratic Functions & Equations; Linear Syste
Days
TEKS
Student Expectation
4
A.11(B)
Readiness
Simplify numeric and algebraic expressions using the laws of
exponents, including integral and rational exponents.
11.1; 11.2
1
A.10(A)
Supporting
Add and subtract polynomials of degree one and degree two
14.1; 14.2;
14.3
A.10(D)
Supporting
Rewrite polynomial expressions of degree one and degree two
in equivalent forms using the distributive property
14.1; 14.2;
14.3
2
A.10(B)
Supporting
Multiply polynomials of degree one and degree two
15.2; 15.3
2
A.7(A)
Readiness
Graph quadratic functions on the coordinate plane and use the
graph to identify key attributes, if possible, including xintercept, y-intercept, zeros, maximum value, minimum values,
vertex, and the equation of the axis of symmetry
16.1
A.6(A)
Readiness
Determine the domain and range of quadratic functions and
represent the domain and range using inequalities
16.1
1
A.6(B)
Supporting
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)
16.2
3
A.7(C)
Readiness
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
16.2
2
A.6(B)
Supporting
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)
16.3
A.6(C)
Supporting
Write quadratic functions when given real solutions and graphs
of their related equations
16.3
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
Page 5 of 7
Rational Exponents; Polynomial Operations; Quadratic Functions & Equations; Linear Syste
Days
TEKS
1
A.8(B)
Supporting
Write, using technology, quadratic functions that provide a
reasonable fit to data to estimate solutions and make
predictions for real-world problems
3
A.10(E)
Readiness
Factor, if possible, trinomials with real factors in the form ax2 +
bx + c, including perfect square trinomials of degree two
18.1; 18.2
1
A.10(F)
Supporting
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.
18.3
1
A.8(B)
Supporting
Write, using technology, quadratic functions that provide a
reasonable fit to data to estimate solutions and make
predictions for real-world problems
20.1
1
A.7(A)
Readiness
Graph quadratic functions on the coordinate plane and use the
graph to identify key attributes, if possible, including xintercept, y-intercept, zeros, maximum value, minimum values,
vertex, and the equation of the axis of symmetry
17.1
A.6(C)
Readiness
Solve systems of two linear equations with two variables for
mathematical and real-world problems
17.1
A.8(A)
Readiness
Solve quadratic equations having real solutions by factoring,
taking square roots, completing the square, and applying the
quadratic formula
17.2; 19.1;
19.2;19.3
A.7(B)
Supporting
Describe the relationship between the linear factors of
quadratic expressions and the zeros of their associated
quadratic functions
17.3
1
A.3(F)
Supporting
Graph systems of two linear equations in two variables on the
coordinate plane and determine the solutions if they exist
9.1
2
A.5(C)
Readiness
Solve systems of two linear equations with two variables for
mathematical and real-world problems
9.1;9.2
6
Student Expectation
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
Page 6 of 7
Math:Algebra 1
Term: 4
The student uses mathematical processes to acquire and demonstrate mathematical understanding.
Linear Systems(Part 2), Compare LQE; Divide Polynomials
Days
TEKS
Student Expectation
4
A.2(I)
Readiness
write systems of two linear equations given a table of values, a
graph, and a verbal description
10.1
3
A.8(B)
Supporting
Write, using technology, quadratic functions that provide a
reasonable fit to data to stimate solutions and make
predictions for real-world problems
20.2
A.4(A)
Supporting
calculate, using technology, the correlation coefficient
between two quantitative variables and interpret this quantity
as a measure of the strength of the linear association
20.2
A.4(C)
Supporting
Write, with and without technology, linear functions that
provide a reasonable fit to data to estimate solutions and make
predictions for real-world problems
20.2
A.9(E)
Supporting
Write, using technology, exponential functions that provide a
reasonable fit to data and make predictions for real-world
problems
2
A.10(C)
Supporting
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
15.4
2
A.3(H)
Supporting
Graph the solution set of system of two linear inequalities in
two variables on the coordinate plane
10.2
2
A.3(G)
Supporting
Estimate graphically the solutions to systems of two linear
equations with two variables in real world problems
9.1
Revised Date: Wednesday, June 08, 2016
Resources
Textbook
Page 7 of 7