Test Information
Test Out Course: Integrated Math 2X, Series of 7 end-of-unit summative assessments
Assessment Times:
11:30 am – 1:30 pm
Location: Wayzata High School 2nd floor forum
Assessment Dates:
June 18th – June 20th
June 25th – June 27th
July 9th – July 11th
July 16th – July 18th
July 23rd – July 25th
July 30th – Aug 1st
Aug 6th – Aug 8th
Results Release Date: August 15th, 2012
Textbook and ISBN number: Core-Plus Mathematics, Course 2, ISBN: 9780078772580
Note: Wayzata School District and its Employees are not responsible to provide students a textbook during the test out process
Units/Chapters of emphasis: Units 1 -8
Units/Chapters to omit: None
Test Format
Students testing out of Math 2X will take 8 end-of-unit summative tests over the course of the summer.
Students may take any test on any of the above test dates.
Approximate Number of Multiple Choice/Matching/True False Questions: 0
Percentage of Test: 0
Approximate Number of Constructed Response: Most questions are constructed response.
There maybe a few questions scattered throughout the series of tests that are multiple choice.
Percentage of Test: 100%
Approximate Number of Essay: 0
Percentage of Test: 0
Course Learning Targets/Objectives
These should be the same as those used in the school year. They should also emphasize what is to be tested.
Unit1
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Identify direct and inverse relations from various forms, including real-life examples
Create or match direct and inverse relations from real-life examples or graphs
Be able to describe how the change of one variable affects the other variables in a direct or
inverse equation
Determine a constant of proportionality
𝑘
Identify direct and inverse power models in the form of 𝑦 = 𝑘𝑥 𝑟 (𝑟 ≠ 0) or 𝑦 = 𝑟 (𝑥 ≠
𝑥
0)from their graphs
Create multivariable direct and inverse relations from real-life situations
Write equations in the general form ax + by = c to express conditions relating two variables
Graph linear equation in the form of ax + by = c or y = ax + b
Find the equation of a line given two points
Be able to describe how the change of one variable affects the other variables in a multivariable
direct or multivariable inverse equation
Solve direct and inverse variation functions for one variable in terms of the other variables
Solve linear equations for one variable in terms of the other variables
Solve multivariable direct and inverse variation equations for one variable in terms of the other
variables
Write systems of linear equations from real-life situations
Solve linear systems by graphing, substitution, and elimination methods
Identify how you can check your solution
Identify the number of solutions (0, 1, or infinitely many) by inspecting the slope of equations
within the system, analyzing your method of solution, or by analyzing the graph of the system.
Unit 2
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Construct matrices to organize, display and analyze information
Interpret given matrices
Understand, carry out , and interpret matrix operations – row and column sums, matrix addition
and subtraction, and scalar multiplication
Understand, carry out, and interpret matrix multiplication
Use matrix multiplication, including powers of matrices to solve problems in a variety of settings
Represent a vertex-edge graph as a matrix and use powers of that matrix to analyze the
situation modeled by the vertex-edge graph
Examine properties of operations with matrices
Compare properties of matrices with those real numbers
Use matrices and their properties to solve systems of linear equations
Review, analyze and compare various methods for solving systems of linear equations
Unit 3
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Use coordinate to represent points, lines and geometric figures in a plane
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Develop and use coordinate representations of geometric ideas such as distance, slope, and
midpoint to analyze properties of lines and shapes
Design algorithms for programming calculators or computers to perform routine geometryrelated computations
Develop and use equations for circles in a coordinate plane
Reason with general coordinates to establish properties of triangles, quadrilaterals, and circles
Use coordinates to develop function rules modeling translations, line reflections, and rotations
and size transformation centered at the origin
Use coordinates to investigate properties of figures under one or more rigid transformations of
under similarity transformations
Explore the concept of function composition using successive application of two transformations
Use coordinate rules for rotations about the origin to develop corresponding matrix
representations
Use coordinate rules for size transformations centered at the origin to develop corresponding
matrix representations
Use matric representations of shapes and transformations to create simple animations involving
rotations and size transformations
Unit 4
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Obtain information and draw conclusions from graphs of functions and other relations.
Use scatterplots to analyze patterns and describe relationships between two variables.
Identify different types of outliers.
Read and interpret a scatterplot matrix.
Determine regression lines (line of best fit) from data.
Use regression lines to make predictions.
Use a linear model when the points of a scatterplot form an elliptical cloud.
Compute errors in prediction and residuals.
Identify the LSRL as the line that minimizes the sum of the squared residuals.
Explore and identify the effect of outliers and influential points on the regression equation.
Interpret slope in the context of the problem.
Determine correlation coefficients from data.
Use correlation coefficients to assess the reliability of predictions made from regression lines.
Use correlation coefficients to determine the strength and direction of a linear association.
Explore and identify the effect of outliers and influential points on the correlation coefficient.
Determine the relationship between correlation coefficients and slopes of least square
regression lines.
Demonstrate that adding a constant to each value or multiplying by a positive constant does not
change the correlation.
Demonstrate that association does not mean that one of the variables causes the other.
Identify possible explanations for an association (cause-and-effect, lurking variable)
Identify the explanatory variable and the response variable.
Apply the knowledge that an experiment is the only way to determine a cause-and-effect
relationship.
Unit 5
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Distinguish between functional relationships and non-functional relationships
Use and understand f(x) notation to represent functions
Identify domain and range of a function
Construct rules for quadratic functions based on x intercepts, y intercepts and max/min point
Write quadratic expression in equivalent, factored, or expanded form
Solve quadratic equations by factoring or using the quadratic formula
Write and equation or inequality representing a real life situation involving linear function and
an inverse variation or quadratic function
Estimate solutions to equations in the form of ax + b = k/x using tables or graphs and solve
algebraically
Estimate solutions to equations in the form of mx = d = ax2 = bx = c using tables or graphs and
solve algebraically
Recognize what is meant by taking the common logarithm of a real number
Be able to rewrite any real number as a power of 10 by finding common logarithms
Use common logarithms to solve exponential equations both in and out of context.
Unit 6
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Unit 7
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Use minimum spanning trees, Hamilton circuits, and the Traveling Salesperson Problem to solve
optimal spanning networks
Compare and contrast graph topics: TSP vs. MST, Hamilton vs. Euler circuits, matrices and
graphs
Model situations with vertex edge graphs
Use algorithms for solving MST’s and TSP’s
Identify the correct optimal spanning network for solving network problems
Construct and interpret a project digraphs
Determine earliest finish time for projects
Use and identify critical path and critical tasks in the context of project scheduling
Determine values of the sine, cosine, and tangent functions of an angle in standard position in a
square coordinate plane
Determine the sine, cosine and tangent of an acute in a right triangle, and determine the angel
given one of those ratios
Solve problems involving indirect measurement that can be modeled as parts of right triangle
Explore basic properties of the sine, cosine, and tangent functions with reference to their
interrelationships and their patterns of change as the angle measure changes
Determine measures of sides and angles of triangles using the Law of Sines and Law of Cosines
Use these laws to solve problems involving indirect measurement and analysis of mechanisms
that use triangles with a side of variable length
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Determine whether two, one or no triangles are possible when the lengths of two sides and the
measure of an angle not included between these sides are known
Unit 8
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Use an area model to find the probability that two independent events both occur
Use the Multiplication Rule to find the probability that two independent events both occur
Find conditional probabilities and determine if two events are independent
Use the multiplication rule to find the probability that two events both occur when the events
are not independent
Compute the fair price (expected value) of insurance and games of chance
Develop a formula for the expected value of a probability distribution
Compute the expected value of a probability distribution using the formula
Estimate the expected value from the graph of the probability distribution
Use simulation to construct an approximate waiting-time distribution and understand why the
shape is skewed to the right
Recognize rare events in a waiting-time situation
Use formula to construct the probability of distribution for a waiting-time situation
Discover the formula for expected value of a waiting time distribution
Understand that some infinite series have a finite sum