CURRICULUM MAP
Algebra 2
2nd Trimester
Core Standards
Glencoe Algebra 2
Chapter 9 Sections 3 & 6
4 Days
33.
Identify zeros and asymptotes of rational functions, when suitable factorizations are
available, and use the zeros and asymptotes to construct a rough graph of the
function.
9.3
39.
Understand that the graph of an equation in two variables is the set of its solutions
plotted in the coordinate plane, often forming a curve or a line.
9.3
44.
Solve simple rational and radical equations in one variable, noting and explaining
extraneous solutions.
9.6
46.
Introduction to solving equations f(x) = g(x) approximately by finding the
intersections of the graphs of f(x) and g(x), e.g. using technology to graph the
functions. Include cases where f(x) and/or g(x) are linear, polynomial, rational,
exponential, and logarithmic functions.
9.6
66.
For linear or simple exponential functions, find a formula for an inverse function by
solving an equation.
10.1
28.
Use the laws of exponents to interpret expressions for exponential functions,
recognizing positive rational exponents as indicating roots of the base and negative
exponents as indicating the reciprocal of a power. For example, identify the per unit
percentage change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y =
(1.2)t/10, and conclude whether it represents exponential growth or decay.
Recognize that any nonzero number raised to the zero power is 1, for example,
12(1.05)0 = 12. Avoid common errors such as confusing 6(1.05)t with (6·1.05)t and
5(0.03)t with 5(1.03)t.
10.1
46.
Introduction to solving equations f(x) = g(x) approximately by finding the
intersections of the graphs of f(x) and g(x), e.g. using technology to graph the
functions. Include cases where f(x) and/or g(x) are linear, polynomial, rational,
exponential, and logarithmic functions.
10.1,10.2
36.
Write equations and inequalities that specify an unknown quantity or to express a
relationship between two or more quantities. Use the equations and inequalities to
solve problems. Include equations arising from linear and quadratic functions, and
simple rational and exponential functions. Move to Pre-Calculus
10.1
39.
Understand that the graph of an equation in two variables is the set of its solutions
plotted in the coordinate plane, often forming a curve or a line.
10.1
Chapter 10 Sections 1 through 6
10 Days
49.
10.1,10.3
Introduction to the context of exponential models, solve equations of the form a bct
= d where a, c, and d are specific numbers and the base b is 2, 10, or e
50.
Additional
Resources
Introduce the properties of logarithms to the laws of exponents and solve equations
involving exponential functions.
10.2
MTI
Problems-
51.
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 the range.
If f is a function and x is an element of its domain, then f(x) denotes the output of f
corresponding to the input x.
10.1,10.2
63.
Solve problems involving linear and quadratic functions; introduce problem solving
involving exponential functions.
10.1
65.
Read or calculate values of an inverse function from a graph or a table, given that
the function has an inverse.
10.2
69.
Introduce an exponential function, defined by f(x) = abx or by f(x) = a(1 + r)x for
some constants a, b > 0 and r > –1, models a situation where a quantity grows or
decays by a constant factor or a constant percentage change over each unit interval.
10.1, 10.6
77.
Introduce the comparison of quantities increasing exponentially to quantities
increasing linearly or as a polynomial function.
10
70
Understand that linear functions grow by equal differences over equal intervals;
exponential functions grow by equal factors over equal intervals.
10.1,10.6
71.
Introduce that a quantity increasing exponentially eventually exceeds a quantity
increasing linearly, quadratically, or (more generally) as a polynomial function.
10.1
76.
Calculate and interpret the growth factor for an exponential function (presented
symbolically or as a table) given a fixed interval. Estimate the growth factor from a
graph.
10.1, 10.6
74.
Introduce the construction of an exponential function in the form f(x) = a(1 + r)x or
f(x) = abx to describe a relationship in which one quantity grows with respect to
another at a constant percent growth rate or a with a constant growth factor.
10.1, 10.6
Chapter 12 Sections 1 through 5
3.
4.
5.
6.
7.
8.
9.
8-10 Days
Interpret linear models
Understand and evaluate random processes underlying statistical experiments
Make inferences and justify conclusions from sample surveys, experiments
and observational studies
Understand independence and conditional probability and use them to
interpret data
Use the rules of probability to compute probabilities of compound events in a
uniform probability model
Calculate expected values and use them to solve problems
Use probability to evaluate outcomes of decisions
MIDTERM- WINTER BREAK
Chapter 6 Sections 1 through 7
12.1
12.1
Resource Provided
12.3
12.5
12.4, 12.5
12.5
Days 15
68.
Understand that quadratic functions have maximum or minimum values and can be
used to model problems with optimum solutions.
6.1
13.
Solve quadratic equations with real coefficients that have complex solutions using a
variety of methods.
6.2,6.3,6.4,6.5
26.
Interpret an expression that represents a quantity in terms of the context beyond
quadratic trinomials, including rational exponents, completing a square and
6.3
Collecting
Information
imaginary numbers. Include interpreting parts of an expression, such as terms,
factors and coefficients.
23.
Factor, expand, and complete the square in quadratic expressions.
6.4
38.
Understand that the method of completing the square can transform any quadratic
6.4
equation in x into an equivalent equation of the form
the quadratic formula.
( x  p)  q . This leads to
2
45.
Solve quadratic equations in one variable. Include methods such as inspection (e.g.
for x2 = 49), square roots, completing the square, the quadratic formula and
factoring. Recognize when the quadratic formula gives complex solutions and write
them as a ± bi for real numbers a and b.f
6.3, 6.4, 6.5,
64.
Introduce the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x +
k) for specific values of k (both positive and negative); find the value of k given the
graphs. Experiment with cases and illustrate an explanation of the effects on the
graph using technology.
6.6
79.
Understand that a parabola is the set of points equidistant from a fixed point (the
focus) and a fixed line (the directrix). The graph of any quadratic function is a
parabola, and all parabolas are similar.
8.2
81.
Find an equation for an ellipse given in the coordinate plane with major and minor
axes parallel to the coordinate axes.
8.4
59.
Transform quadratic polynomials algebraically to reveal different features of the
function they define, such as zeros, extreme values, and symmetry of the graph.
8.2,8.3,8.4,8.5,8.6
80.
Complete the square to find the center and radius of a circle given by an equation.
8.3
78.
Understand that an ellipse is the set of all points whose distance from two fixed
points (the foci) are a constant sum. The graph of x2 / a2 + y2 / b2 = 1.
8.4
53.
Understand that a function defined by an expression may be written in different but
equivalent forms, which can reveal different properties of the function. (e.g. conics)
8.6
48.
Solve algebraically a simple system consisting of one linear equation and one
quadratic equation in two variables; for example, find points of intersection between
8.7
Chapter 8 Sections 1 through 7
the line y = –3x and the circle
x 2  y 2 = 3.
15 Days