North Gem School District 149
Mathematics – Algebra I
District Course #
Course Description
Open to 9-One year course
Prerequisite Pre-Algebra with a C or higher
Content: Students will be introduced to the concepts of algebra, geometry, logic, probability and statistics with an
emphasis on algebra.
Adopted Materials
Course Title
Algebra I
Instructional Objective
H.S. N-RN.1. Explain how the definition of the meaning of rational exponents follows from
extending the properties of integer exponents to those values, allowing for a notation for
radicals in terms of rational exponents.
NO.
Performance Objective
Resource
Referenced in
scope/Sequence
1
Multiply and divide terms with rational exponents.
Apply the power rule with rational exponents.
Convert numeric and algebraic expressions from radical
form to exponential form.
4
Convert numeric and algebraic expressions from
exponential form to radical form.
Instructional Objectives
H.S. N-RN.2. Rewrite expressions involving radicals and rational exponents using the
properties of exponents.
District Reference
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
2
3
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Convert numeric and algebraic expressions from radical
form to exponential form.
2
Convert numeric and algebraic expressions from
exponential form to radical form.
3
Use the properties of exponents to simplify expressions.
Instructional Objectives
H.S. N-RN.3. Explain why the sum or product of two rational numbers is rational; that the
sum of a rational number and an irrational number is irrational; and that the product of a
nonzero rational number and an irrational number is irrational.
Standard Reference
N/A (9.M)
N/A (10.M)
AI.1.3.3 (3)
Assessment
Correlation
1
NO.
Performance Objectives
1
2
The sum or product of two rational numbers is rational.
The sum of a rational number and an irrational number is
irrational.
The product of a nonzero rational number and an
3
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.1.1.1 (1)
10.M.1.1.1 (1)
AI.1.1.1 (1)
AI.1.1.2 (1)
Assessment
Correlation
irrational number is irrational.
Instructional Objectives
H.S. N-Q.1. Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret
the scale and the origin in graphs and data displays.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Use unit conversions to simplify and solve problems.
Given a graph or set of data, choose an appropriate scale
and origin.
Instruction Objectives
H.S. N-Q.2. Define appropriate quantities for the purpose of descriptive modeling.
Standard Reference
9.M.2.2.2 (4)
9.M.2.2.3 (4)
9.M.2.3.1 (4)
9.M.2.4.1 (4)
10.M.2.2.2 (4)
10.M.2.2.3 (4)
10.M.2.3.1 (4)
10.M.2.4.1 (4)
AI.2.1.1 (4)
AI.3.1.1 (2)
Assessment
Correlation
1
2
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a contextual situation, define an appropriate unit
of measurement.
2
Estimate ranges of possible solutions to a problem.
Instructional Objectives
H.S. N-Q.3. Choose a level of accuracy appropriate to limitations on measurement when
reporting quantities.
Standard Reference
9.M.2.2.1 (4)
9.M.2.3.1 (4)
9.M.2.4.1 (4)
10.M.2.2.1 (4)
10.M.2.3.1 (4)
10.M.2.4.1 (4)
AI.3.3.1 (3)
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a measuring device, determine the appropriate
level of accuracy.
Instructional Objectives
H.S. A-SSE.1a. Interpret expressions that represent a quantity in terms of its context.
Interpret parts of an expression, such as terms, factors, and coefficients.
Standard Reference
9.M.2.3.1 (3)
9.M.2.4.2 (4)
10.M.2.3.1 (3)
10.M.2.4.2 (4)
AI.2.2 (2)
Assessment
Correlation
1
NO.
1
Performance Objectives
Given an expression, identify the leading coefficient,
constant, base(s), and/or exponent(s).
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.3.1.1 (5)
10.M.3.1.1 (5)
AI.3.1.1 (3)
Assessment
Correlation
2
3
Given an expression, identify multipliers as factors.
Classify an expression by degree and number of terms.
Instructional Objectives
H.S. A-SSE.1b. Interpret expressions that represent a quantity in terms of its context.
Interpret complicated expressions by viewing one or more of their parts as a single entity.
For example, interpret P(1+r)n as the product of P and a factor not depending on P.
Standard Reference
9.M.3.1.1 (5)
10.M.3.1.1 (5)
AI.3.2.1 (2)
Linear, quadratic, exponential only(Algebra I)
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given an expression, determine how each part affects
the whole.
Instructional Objectives
H.S. A-SSE.2. Use the structure of an expression to identify ways to rewrite it. For example,
see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be
factored as (x2 – y2)(x2 + y2).
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Rewrite expressions in expanded and condensed form,
Factor polynomials.
Instructional Objectives
H.S. A-SSE.3a. Choose and produce an equivalent form of an expression to reveal and
explain properties of the quantity represented by the expression.
Factor a quadratic expression to reveal the zeros of the function it defines.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Factor quadratics (including perfect square trinomials,
difference of squares, GCF, and factory by grouping).
2
Use the zero-product property to solve quadratic
equations.
Instructional Objectives
H.S. A-SSE.3b. Choose and produce an equivalent form of an expression to reveal and
explain properties of the quantity represented by the expression.
Complete the square in a quadratic expression to reveal the maximum or minimum value
of the function it defines.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Given a quadratic, complete the square.
2
Use completing the square to write a quadratic in vertex
form then identifies the vertex.
Instructional Objectives
H.S. A-SSE.3c. Choose and produce an equivalent form of an expression to reveal and
explain properties of the quantity represented by the expression.
Use the properties of exponents to transform expressions for exponential functions.
For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the
approximate equivalent monthly interest rate if the annual rate is 15%
NO.
Performance Objectives
Resource
Referenced in
Standard Reference
9.M.3.2.1 (5)
10.M.3.2.1 (5)
AI.3.2.2 (4)
Assessment
Correlation
1
2
Standard Reference
N/A (9.M)
N/A (10.M)
AI.3.2.2 (3)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
scope/Sequence
Expand or condense expressions by rewriting exponents.
Instructional Objectives
H.S. A-APR.1. Understand that polynomials form a system analogous to the integers,
namely, they are closed under the operations of addition, subtraction, and multiplication;
add, subtract, and multiply polynomials. Linear and Quadratic only.
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Multiply polynomials using distributive property.
Add and subtract like terms.
Instructional Objectives
H.S. A-CED.1. Create equations and inequalities in one variable and use them to solve
problems. Include equations arising from linear and quadratic functions, and simple
rational and exponential functions.
Standard Reference
9.M.3.2.1 (1)
9.M.3.3.2 (1)
10.M.3.2.1 (1)
10.M.3.3.2 (1)
AI.3.2.2 (1)
AI.1.3.3 (3)
Assessment
Correlation
1
2
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a scenario, write a linear equation or inequality.
Solve linear equations and inequalities.
Solve quadratic functions.
Solve simple rational and exponential functions using
integer inputs only.
Instructional Objectives
H.S. A-CED.2. Create equations in two or more variables to represent relationships
between quantities; graph equations on coordinate axes with labels and scales.
Linear, Quadratic, and Exponential only
Standard Reference
9.M.3.3.1 (4)
9.M.3.4.1 (4)
10.M.3.3.1 (4)
10.M.3.4.1 (4)
AI.3.1.1 (1)
AI.3.1.2 (3)
AI.3.2.1 (4)
AI.3.2.2 (4)
Assessment
Correlation
1
2
3
4
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a scenario, write an equation using two variables.
Graph equation in two variables with labels and scales.
Instructional Objectives
H.S. A-CED.3. Represent constraints by equations or inequalities, and by systems of
equations and/or inequalities, and interpret solutions as viable or nonviable options in a
modeling context. For example, represent inequalities describing nutritional and cost
Standard Reference
9.M.3.3.1 (4)
9.M.3.4.1 (4)
9.M.3.6.2 (4)
10.M.3.3.1 (4)
10.M.3.4.1 (4)
10.M.3.6.2 (4)
AI.3.1.1 (4)
AI.3.1.2 (4)
AI.3.2.1 (5)
AI.3.2.2 (5)
AI.3.4.1 (4)
Assessment
Correlation
1
2
Standard Reference
9.M.3.3.1 (5)
9.M.3.4.1 (5)
constraints on combinations of different foods.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a scenario, write an equation/inequality and graph
it.
2
Determine the feasible region and determine maximum
and minimum values.
Not required to include linear programming
Instructional Objectives
H.S. A-CED.4. Rearrange formulas to highlight a quantity of interest, using the same
reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight
resistance R.
9.M.3.6.2 (5)
10.M.3.3.1 (5)
10.M.3.4.1 (5)
10.M.3.6.2 (5)
AI.3.2.2 (5)
AI.3.4.1 (2)
AI.1.3.2 (2)
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Solve literal equations for a given variable.
Instructional Objectives
H.S. A-REI.1. Explain each step in solving a simple equation as following from the equality
of numbers asserted at the previous step, starting from the assumption that the original
equation has a solution. Construct a viable argument to justify a solution method.
Standard Reference
9.M.3.2.1 (3)
10.M.3.2.1 (3)
AI.3.2.2 (5)
AI.3.4.1 (1)
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Write out each step of solving an equation, justifying
each step using the properties of equality.
Instructional Objectives
H.S. A-REI.3. Solve linear equations and inequalities in one variable, including equations
with coefficients represented by letters.
Standard Reference
9.M.3.3.1 (3)
9.M.3.6.1 (5)
10.M.3.3.1 (3)
10.M.3.6.1 (5)
AI.3.1.2 (1)
Assessment
Correlation
1
1
2
3
Standard Reference
9.M.3.3.1 (5)
9.M.3.4.1 (5)
9.M.3.6.1 (5)
10.M.3.3.1 (5)
10.M.3.4.1 (5)
10.M.3.6.1 (5)
AI.3.1.1 (3)
AI.3.1.2 (3)
AI.3.2.1 (5)
AI.3.2.2 (5)
AI.3.3.1 (3
Solve equations
Solve inequalities
Solve literal equations
Instructional Objectives
H.S. A-REI.4a. Solve quadratic equations in one variable. Use the method of completing the
Standard Reference
N/A (9.M)
square to transform any quadratic equation in x into an equation of the form (x – p)2 = q
that has the same solutions. Derive the quadratic formula from this form.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Complete the freaking square.
2
Derive the quadratic formula.
Instructional Objectives
H.S. A-REI.4b. Solve quadratic equations in one variable.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing
the square, the quadratic formula and factoring, as appropriate to the initial form of the
equation. Recognize when the quadratic formula gives complex solutions and write them
as a ± bi for real numbers a and b.(Algebra II)
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Taking square roots.
2
Completing the square.
3
Using quadratic formula.
4
Factoring
(real solutions only)
Instructional Objectives
H.S. A-REI.5. Prove that, given a system of two equations in two variables, replacing one
equation by the sum of that equation and a multiple of the other produces a system with
the same solutions.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Solve a system of equations using elimination, then plug
the solutions back into the original equations to check
the validity of the solutions.
Instructional Objectives
H.S. A-REI.6. Solve systems of linear equations exactly and approximately (e.g., with
graphs), focusing on pairs of linear equations in two variables.
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
AI.3.2.2 (2)
Assessment
Correlation
Standard Reference
9.M.3.4.1 (4)
9.M.3.6.1 (4)
10.M.3.4.1 (4)
10.M.3.6.1 (4)
AI.3.2.2 (4)
Assessment
Correlation
1
NO.
1
2
3
Performance Objectives
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.3.4.1 (4)
9.M.3.6.2 (5)
10.M.3.4.1 (4)
10.M.3.6.2 (5)
AI.3.1.2 (4)
AI.3.2.2 (4)
Assessment
Correlation
Graphing
Substitution
Elimination
Instructional Objectives
H.S. A-REI.7. Solve a simple system consisting of a linear equation and a quadratic equation
in two variables algebraically and graphically. For example, find the points of intersection
between the line y = –3x and the circle x2 + y2 = 3.
NO.
Performance Objectives
Resource
Referenced in
Standard Reference
9.M.3.3.2 (2)
10.M.3.3.2 (2)
N/A (Alg I)
Assessment
Correlation
scope/Sequence
Solve a system of equations containing a linear function
and a quadratic function by:
- Graphing
- Using substitution
Instructional Objectives
H.S. A-REI.10. Understand that the graph of an equation in two variables is the set of all its
solutions plotted in the coordinate plane, often forming a curve (which could be a line).
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Graph equations to represent solutions to an equation
containing two variables (both lines and curves).
2
Given a random graph, determine whether a given
coordinate pair is a solution.
Instructional Objectives
H.S. A-REI.11. Explain why the x coordinates of the points where the graphs of the
equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the
solutions approximately, e.g., using technology to graph the functions, make tables of
values, or find successive approximations. Include cases where f(x) and/or g(x) are linear,
*polynomial, *rational, *absolute value, exponential, and *logarithmic functions.
*Algebra II only
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Show that the intersection point is a solution for both
functions.
Instructional Objectives
H.S. A-REI.12. Graph the solutions to a linear inequality in two variables as a half-plane
(excluding the boundary in the case of a strict inequality), and graph the solution set to a
system of linear inequalities in two variables as the intersection of the corresponding
halfplanes.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Graph systems of inequalities.
Not required to include linear programming.
Instructional Objectives
H.S. F-IF.1. 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. The graph of f is the graph of the equation y = f(x).
Standard Reference
9.M.3.3.2 (3)
9.M.3.6.2 (4)
10.M.3.3.2 (3)
10.M.3.6.2 (4)
AI.3.1.1 (4)
AI.3.1.2 (4)
Assessment
Correlation
1
NO.
Performance Objectives
1
Explain the difference between a relation and a function.
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.3.5.2 (2)
10.M.3.5.2 (2)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.6.2 (2)
10.M.3.6.2 (2)
AI.3.1.1 (4)
Assessment
Correlation
Standard Reference
9.M.3.5.1 (5)
9.M.3.5.3 (5)
10.M.3.5.1 (5)
10.M.3.5.3 (5)
AI.3.1.1 (3)
AI.3.4.1 (2)
Assessment
Correlation
Instructional Objectives
H.S. F-IF.2. Use function notation, evaluate functions for inputs in their domains, and
interpret statements that use function notation in terms of a context.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a set of domain values, find the range.
Solve problems involving function notation.
Instructional Objectives
H.S. F-IF.3. Recognize that sequences are functions, sometimes defined recursively, whose
domain is a subset of the integers. For example, the Fibonacci sequence is defined
recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Recognize that sequences are functions, sometimes
defined recursively, whose domain is a subset of the
integers.
Instructional Objectives
H.S. F-IF.4. For a function that models a relationship between two quantities, interpret key
features of graphs and tables in terms of the quantities, and sketch graphs showing key
features given a verbal description of the relationship. Key features include: intercepts;
intervals where the function is increasing, decreasing, positive, or negative; *relative
maximums and minimums; symmetries; *end behavior; and *periodicity.* Linear,
exponential, quadratic only
*Algebra II only
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Describe the graph of a function when given key features
of linear, quadratic, exponential, absolute value, step,
and piecewise functions.
Instructional Objectives
H.S. F-IF.5. Relate the domain of a function to its graph and, where applicable, to the
quantitative relationship it describes. For example, if the function h(n) gives the number of
person-hours it takes to assemble n engines in a factory, then the positive integers would
be an appropriate domain for the function.
Standard Reference
9.M.3.5.2 (5)
10.M.3.5.2 (5)
AI.3.2.1 (5)
Assessment
Correlation
1
2
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Determine an acceptable domain for a given function.
Determine which quadrants of the coordinate plane
would contain the graph of a given function (apply
applicable constraints).
Instructional Objectives
H.S. F-IF.6. Calculate and interpret the average rate of change of a function (presented
symbolically or as a table) over a specified interval. Estimate the rate of change from a
graph. e.g., Sample Content Objective: Sample Language Objective
rate of change (slope) from graphs, tables, and functions. Prior Idaho Standard:
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.6.1 (5)
9.M.3.6.2 (4)
10.M.3.6.1 (5)
10.M.3.6.2 (4)
AI.3.1.1 (4)
AI.3.2.1 (4)
Assessment
Correlation
Standard Reference
9.M.3.5.3 (4)
9.M.3.6.1 (4)
10.M.3.5.3 (4)
10.M.3.6.1 (4)
AI.3.1.1 (4)
Assessment
Correlation
1
2
Standard Reference
N/A (9.M)
N/A (10.M)
AI.3.1.1 (2)
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Estimate/calculate the rate of change (slope) from
graphs, tables, and functions.
Instructional Objectives
H.S. F-IF.7a. Graph functions expressed symbolically and show key features of the graph, by
hand in simple cases and using technology for more complicated cases.
Graph linear and quadratic functions and show intercepts, maxima, and minima.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Graph linear equations.
2
Graph quadratic equations.
3
Label x- and y-intercepts and slope of a linear graph.
4
Label the vertex/max/min and x- and y-intercepts of a
quadratic graph.
Instructional Objectives
H.S. F-IF.7b. Graph functions expressed symbolically and show key features of the graph, by
hand in simple cases and using technology for more complicated cases.
Graph square root, cube root, and piecewise-defined functions, including step functions
and absolute value functions.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Introduce square root functions, cube root functions,
piecewise functions, step functions.
2
Graph absolute value functions.
Instructional Objectives
H.S. F-IF.7e. Graph functions expressed symbolically and show key features of the graph, by
hand in simple cases and using technology for more complicated cases.
Graph exponential and *logarithmic functions, showing intercepts and end behavior, and
*trigonometric functions, showing period, midline, and amplitude.
*Algebra II and beyond
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Graph exponential functions and identify the y-intercept
and end behavior.
Instructional Objectives
H.S. F-IF.8a. Write a function defined by an expression in different but equivalent forms to
reveal and explain different properties of the function.
Use the process of factoring and completing the square in a quadratic function to show
zeros, extreme values, and symmetry of the graph, and interpret these in terms of a
context.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Find the zeros of a quadratic function by solving and
interpret their meaning.
2
Find the vertex of a quadratic function and interpret the
meaning.
Assessment
Correlation
1
Standard Reference
N/A (9.M)
N/A (10.M)
AI.3.1.2 (3)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Instructional Objectives
H.S. F-IF.8b. Write a function defined by an expression in different but equivalent forms to
reveal and explain different properties of the function.
Use the properties of exponents to interpret expressions for exponential functions. For
example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y =
(1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Given an exponential model, identify as an exponential
growth or decay function.
Instructional Objectives
H.S. F-IF.9. Compare properties of two functions each represented in a different way
(algebraically, graphically, numerically in tables, or by verbal descriptions). For example,
given a graph of one quadratic function and an algebraic expression for another, say which
has the larger maximum.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Compare properties of two functions each represented in
a different way (algebraically, graphically, numerically in
tables, or by verbal descriptions).
Instructional Objectives
H.S. F-BF.1a. Write a function that describes a relationship between two quantities.
Determine an explicit expression, a recursive process, or steps for calculation from a
context.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Given a context, write a function using either an explicit
or recursive process.
Instructional Objectives
H.S. F-BF.1b. Write a function that describes a relationship between two quantities.
Combine standard function types using arithmetic operations. For example, build a
function that models the temperature of a cooling body by adding a constant function to a
decaying exponential, and relate these functions to the model.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Write a composite function.
Instructional Objectives
H.S. F-BF.2. Write arithmetic and geometric sequences both recursively and with an explicit
formula, use them to model situations, and translate between the two forms.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Write explicit and recursive arithmetic sequences.
Write explicit and recursive geometric sequences.
Instructional Objectives
H.S. F-BF.3. Identify 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.
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.6.1 (3)
10.M.3.6.1 (3)
AI.3.2.2 (3)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
1
2
Standard Reference
N/A (9.M)
N/A (10.M)
Experiment with cases and illustrate an explanation of the effects on the graph using
technology. Include recognizing even and odd functions from their graphs and algebraic
expressions for them.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Determine the effect of constants on the parent function
i.e. linear, quadratic and exponential and absolute value.
Instructional Objectives
H.S. F-BF.4a.Find inverse functions. Solve an equation of the form f(x) = c for a simple
function f that has an inverse and write an expression for the inverse. For example, f(x)2x3
or f(x) = (x+1)/(x–1) for x ≠ 1.
Linear
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Find the inverse functions for linear.
Instructional Objectives
H.S. F-LE.1a. Distinguish between situations that can be modeled with linear functions and
with exponential functions.
Prove that linear functions grow by equal differences over equal intervals, and that
exponential functions grow by equal factors over equal intervals.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Compare linear and exponential models.
2
Recognize interval patterns for each.
Instructional Objectives
H.S. F-LE.1b. Distinguish between situations that can be modeled with linear functions and
with exponential functions.
Recognize situations in which one quantity changes at a constant rate per unit interval
relative to another.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Given a graph, determine whether the function is linear,
quadratic, or exponential.
Instructional Objectives
H.S. F-LE.1c. Distinguish between situations that can be modeled with linear functions and
with exponential functions.
Recognize situations in which a quantity grows or decays by a constant percent rate per
unit interval relative to another.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Given an exponential model, determine the rate of
growth or decay.
Instructional Objectives
H.S. F-LE.2. Construct linear and exponential functions, including arithmetic and geometric
sequences, given a graph, a description of a relationship, or two input-output pairs (include
reading these from a table).
NO.
Performance Objectives
Resource
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.5.1 (1)
10.M.3.5.1 (1)
AI.3.2.1 (1)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.5.1 (2)
10.M.3.5.1.(2)
AI.3.1.1 (2)
Assessment
Referenced in
scope/Sequence
Write a function when given a graph, set of values, or
table of values.
Instructional Objectives
H.S. F-LE.3. Observe using graphs and tables that a quantity increasing exponentially
eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a
polynomial function.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
1
Compare and contrast graphs and tables of values of
exponential functions to linear, quadratic, and
polynomial functions.
Instructional Objectives
H.S. F-LE.5. Interpret the parameters in a linear or exponential function in terms of a
context.
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a situation, determine the meaning of the
parameters in linear or exponential functions.
Instructional Objectives
H.S. S-ID.1. Represent data with plots on the real number line (dot plots, histograms, and
box plots).
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
Standard Reference
9.M.3.5.3 (2)
10.M.3.5.3 (2)
AI.3.1.1 (2)
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a set of data, create an appropriate graph.
Instructional Objectives
H.S. S-ID.2. Use statistics appropriate to the shape of the data distribution to compare
center (median, mean) and spread (interquartile range, standard deviation) of two or more
different data sets.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.5.1.1 (5)
9.M.5.2.1 (5)
10.M.5.1.1 (5)
10.M.5.2.1 (5)
AI.5.1 (5)
AI.5.2 (5)
Assessment
Correlation
1
Given a set of data, determine the appropriate summary.
Instructional Objectives
H.S. S-ID.3. Interpret differences in shape, center, and spread in the context of the data
sets, accounting for possible effects of extreme data points (outliers).
Standard Reference
9.M.5.3.1 (4)
10.M.5.3.1 (4)
AI.5.2.1 (4)
Assessment
Correlation
1
NO.
1
Performance Objectives
Given a set of values, determine the shape, center, and
Resource
Referenced in
scope/Sequence
Standard Reference
9.M.5.3.2 (4)
10.M.5.3.2 (4)
AI.5.2.1 (4)
AI.5.2.2 (4)
Assessment
Correlation
spread of the data and the meaning of each.
Determine the effects of outliers.
Instructional Objectives
H.S. S-ID.5. Summarize categorical data for two categories in two-way frequency tables.
Interpret relative frequencies in the context of the data (including joint, marginal, and
conditional relative frequencies). Recognize possible associations and trends in the data.
Linear focus
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
2
Given a two-way table of data, summarize the data;
recognize trends and association between the two
variables.
Instructional Objectives
H.S. S-ID.6a. Represent data on two quantitative variables on a scatter plot, and describe
how the variables are related.
Fit a function to the data; use functions fitted to data to solve problems in the context of
the data. Use given functions or choose a function suggested by the context. Emphasize
linear, quadratic, and exponential models.
Linear focus only
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
1
Given a set of data, find the line of best fit.
Instructional Objectives
H.S. S-ID.6b. Represent data on two quantitative variables on a scatter plot, and describe
how the variables are related.
Informally assess the fit of a function by plotting and analyzing residuals.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Standard Reference
N/A (9.M)
N/A (10.M)
AI.5.2.2 (3)
Assessment
Correlation
1
Given a scatter plot, determine strength of the line of
best fit by calculating residuals.
Instructional Objectives
H.S. S-ID.6b. Represent data on two quantitative variables on a scatter plot, and describe
how the variables are related.
Fit a linear function for a scatter plot that suggests a linear association.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
1
Given a scatter plot, determine a line of best fit.
Instructional Objectives
H.S. S-ID.7. Interpret the slope (rate of change) and the intercept (constant term) of a
linear model in the context of the data.
Standard Reference
N/A (9.M)
N/A (10.M)
AI.5.2.2 (4)
Assessment
Correlation
1
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Given a set of data, determine the slope and y-intercept.
Instructional Objectives
H.S. S-ID.8. Compute (using technology) and interpret the correlation coefficient of a linear
Standard Reference
9.M.4.4.3 (3)
10.M.4.4.3 (3)
AI.3.2.1 (3)
Assessment
Correlation
1
Standard Reference
N/A (9.M)
fit.
NO.
Performance Objectives
Resource
Referenced in
scope/Sequence
Calculate a correlation coefficient using technology.
Instructional Objectives
H.S. S-ID.9. Distinguish between correlation and causation.
N/A (10.M)
N/A (Alg I)
Assessment
Correlation
1
NO.
1
Performance Objectives
Understand that correlation does not imply causation.
Resource
Referenced in
scope/Sequence
Standard Reference
N/A (9.M)
N/A (10.M)
N/A (Alg I)
Assessment
Correlation