Download Unit 1 Benchmark Blueprint Algebra

Unit 1 Benchmark Blueprint
Algebra
CLAIMS
1-Concept and Procedures
2-Problem Solving
3-Communicating
4-Modeling and Data Analysis
8/10/15
MATHEMATICAL PRACTICES
1.
2.
3.
4.
5.
6.
7.
8.
Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in repeated reasoning
CONCEPTUAL CATEGORYDOMAIN
CLUSTER (SBAC Target)
STANDARDS
Framework Pages11-20, 22-26, 28-38
Benchmark
Blueprint
Number and QuantityQuantities.
Target C: Reason Quantitatively
and use units to solve
problems.
N-Q.1 Use units as a way to understand problems and to guide the solution of
multi-step problems; choose and interpret units consistently in formulas; choose
and interpret the scale and the origin in graphs and data displays. 
N-Q.2 Define appropriate quantities for the purpose of descriptive modeling.
N-Q.3 Choose a level of accuracy appropriate to limitations on measurement
when reporting quantities.
A-SSE.1 Interpret expressions that represent a quantity in terms of its context.
1a Interpret parts of an expression, such as terms, factors, and coefficients.
1b Interpret complicated expressions by viewing one or more of their parts as a
n
single entity. For example, interpret P(1 + r) as the product of P and a factor not
depending on P. 
Not Assessed
Algebra-Seeing Structure in
Expressions.
Target D: Interpret the
Structure of Expressions.
A-SSE.2 Use the structure of an expression to identify ways to rewrite it.
Algebra-Creating Equations.
Target G: Create equations that
describe numbers or
relationships
A-CED.1 Create equations and inequalities in one variable and use them to solve
problems. 
A-CED.2 Create equations in two or more variables to represent relationships
between quantities; graph equations on coordinate axes with labels and scales.

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.
Not Assessed
3 SR
3 SR
PT PART A,
PART D
Notes
Use this section to write information from the
framework
Algebra-Reasoning with
Equations and Inequalities.
Target H: Understand solving
equations as a process of
reasoning and explain the
reasoning.
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.
2 SR
PT PART C
Algebra-Reasoning with
Equations and Inequalities.
Target I: Solve equations and
inequalities in one variable.
A-REI.3 Solve linear equations and inequalities in one variable, including
equations with coefficients represented by letters.
A-REI.3.1 (CA) Solve one-variable equations and inequalities involving absolute
value, graphing the solutions and interpreting them in context.
3 SR
PT PART B
Algebra-Reasoning with
Equations and Inequalities.
Target K: (Target J on SBAC
blueprint) Represent and solve
equations and inequalities
graphically
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).
Not Assessed
Functions-Interpreting
Functions.
Target L (Target K on SBAC
blueprint) Understand the
concept of a function and use
function notation.
Functions-Interpreting
Functions.
Target M: (Target L on SBAC
blueprint) Interpret functions
that arise in applications in
terms of the context.
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).
4 SR
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. 
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.
2 SR
1 CR
Functions-Interpreting
Functions.
Target N: Analyze functions
using different representations.
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
Not Assessed
Functions-Building Functions.
Target O: Build a function that
models a relationship between
two quantities.
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.
Not Assessed
Functions-Linear, Quadratic,
and Exponential Models.
Target Q: Construct and
compare linear, quadratic, and
exponential models and solv3
problems.
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.
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.
F.LE.2 Construct linear and exponential functions, including arithmetic and
geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table).
Not Assessed
Indicates a modeling standard linking mathematics to everyday life, work, and decision-making (see CA Math Framework)
7.NS.2d
7.EE.2
7.EE.3
7.EE.4
7.EE.4a
7.EE.4b
7th/8th
Algebra
N-Q1, 2 & 3
A-SSE1a, 1b & 2
A-CED1, 2 & 4
A-REI3 & 3-1
A-REI 10
F-IF1,4 & 6
F-IF7a
F-BF2
F-LE1a, 1b & 2
Progressions
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Geometry
Congruence Experiment with transformations in the plane,
Understand congruence in terms of rigid motions, Prove geometric
theorems, Make geometric constructions
Similarity, Right Triangles, and Trigonometry Understand similarity in
terms of similarity transformations, Prove theorems involving
similarity, Define trigonometric ratios and solve problems involving
right triangles, Apply trigonometry to general triangles
Circles Understand and apply theorems about circles, Find arc lengths
and areas of sectors of circles
Expressing Geometric Properties with Equations Translate between
the geometric description and the equation for a conic section, Use
coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension Explain volume formulas
and use them to solve problems, Visualize relationships between twodimensional and three-dimensional objects
Modeling with Geometry Apply geometric concepts in modeling
situations
Benchmark Item
Types and Points
17 Selected Responses
(1 point)
1 Constructed Response
(2 points)
1 Performance Task with 4 parts
(6 points)