Download Test Information - Wayzata Public Schools

Test Information
Test Out Course: CMP 8, 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
Materials
Textbook and ISBN number: Connected Mathematics Project 2 (ISBN’s vary by book)
Note: Wayzata School District and its Employees are not responsible to provide students a textbook during the test out process
Units/Books of emphasis:
CMP 8th Grade Thinking with Mathematical Models
CMP 8th Grade Growing, Growing, Growing
CMP 8th Grade Looking for Pythagoras
CMP 8th Grade Frogs, Fleas and Painted Cubes
CMP 8th Grade Say It with Symbols
CMP 8th Grade The Shapes of Algebra
CMP 8th Grade Samples and Population
Units/Books to omit:
CMP 8th Grade Kaleidoscopes, Hubcaps, and Mirrors
Textbook Companion Site: http://www.phschool.com/atschool/cmp2/program_page.html
Test Format
Students testing out of CMP 8 will take 7 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
Thinking with Mathematical Models
Topic 1: Exploring Linear and Non-linear Patterns
Learning Target:
Determine if a relationship is linear from a table, graph, equation and situation. (MS 8.2.1.3 and 8.2.1.4)
Use linear equation to represent situation involving constant rate of change, including proportional and
non proportional relationships. (MS 8.2.4.1)
Topic 2: Linear Functions
Key Terms:
Linear, Linear Relationship, linear function, coefficient, Y-intercept, slope, rise, run, constant, rate of
change, y = mx + b, where m is the coefficient of x and b is the y-intercept, proportional vs. nonproportional (y = mx vs. y = mx + b)
Learning Targets:
Identify the y-intercept and rate of change from a graph, table, equation and situation. (MS 8.2.2.2)
Recognize an arithmetic sequence is a linear function that can be expressed in the form f(x) = mx + b.
(MS 8.2.1.1, MS 8.2.1.2, MS 8.2.1.3 and MS 8.2.1.4)
Translate between linear tables, graph, equations and descriptions. (MS 8.2.2.1 and MS 8.2.2.4)
Know how coefficients (slope) affect graphs and check with a calculator. (MS 8.2.2.3)
Given sufficient information, write the equation of a line in point-slope and slope-intercept form (MS
8.2.4.3)
Write the equation for the line of best fit given a set of data. (MS 8.4.1.1)
Use the line of best fit to make predictions and assess the reasonableness of it. (MS 8.4.1.2 and MS
8.4.1.3)
Topic 3: Inverse Variation Patterns
Learning Targets:
Translate between inverse tables, graphs, equations and descriptions.
Use inverse tables, graphs, equations and descriptions to solve problems.
Growing, Growing, Growing
Topic 1: Rules of exponents and scientific notation
Key Terms:
Exponent
Base “E”(on calculator)
Scientific notation
Exponential form
Standard form
Expanded form
Formulas:
a =1
1
a = b
a
a 
ax
 a x y
y
a
a x  a y  a x y
a x  b x  ab 
0
-b
x y
a
a

 b
xy
x
y

ay
  y
b

a1 = a
Learning Targets:
Recognize and interpret calculator display in scientific notation. (MS 8.1.1.5)
Convert between standard form and scientific notation. (MS 8.1.1.5)
Multiply and divide scientific notation. (Use exponential rules) (MS 8.1.1.5)
Simplify expressions involving positive and negative integer exponents. (MS 8.1.1.4)
Topic 2: Recognizing Exponential Relationships
Key Terms:
Exponential growth
Geometric sequence
Function Notation
Exponential decay
Linear
y- intercept
Formula:
y = abx,
f(x) =abx
Learning Targets:
Recognize exponential equations patterns in tables, graphs and situations.
Compare exponential growth to exponential decay.
Compare exponential and linear relationships. (MS 8.2.1.5)
Topic 3: Exponential Growth
Key Terms:
Geometric sequence
Functional notation
Geometric tables
Graphs Equations Exponential
growth Growth factor
Growth rate
Compound growth
Learning Targets:
Define a geometric growth relationship using function notation, f(x) =abx, and y= abx (MS 8.2.1.5)
Explain how ‘a’ and ‘b’ affect the graph and table
Given a table, graph or equation, create/convert to the other two representations.
Convert growth rate to growth factor and growth factor to growth rate.
Solve real-world problems involving exponential growth using geometric growth tables, graphs, and
equations. (i.e. interest rate, population growth) (MS 8.2.2.5)
Topic 4: Exponential Decay
Key Terms:
Decay factor
Decay rate
Exponential Decay
Learning Targets:
Define a geometric decay relationship using function notation, f(x) =abx, and y= abx (MS 8.2.2.5)
Explain how ‘a’ and ‘b’ affect the graph and table
Given a table, graph or equation, create/convert to the other two representations. (MS 8.2.2.5)
Convert decay rate to decay factor and decay factor to decay rate.
Solve real-world problems involving exponential decay using geometric decay tables, graphs, and
equations. (i.e. half-life, population decay, deforestation) (MS 8.2.2.5)
Looking for Pythagoras
Topic 1: Square Roots
Key Terms:
Real numbers, Rational numbers, Irrational numbers, Square root/radical
Formulas:
A  S , √A = A1/2, A= S2
Learning Targets:
Estimate values of square roots of whole numbers/ determine rational approximations. (MS 8.3.1.1)
Relate the area of a square to the length of a side. (MS 8.2.4.9)
Classify numbers as rational or irrational and find them on the number line. (MS 8.1.1.1, MS 8.1.1.2 and
MS 8.1.1.3)
Write a radical expression in simplest radical form.(MS 8.2.3.1 and MS 8.2.3.2)
Topic 2: Using the Pythagorean Theorem
Key Terms:
Hypotenuse, Legs, Conjecture, Converse
Formulas:
a2 + b2 = c2
Learning Targets:
Informally justify the Pythagorean Theorem. (MS 8.3.1.3)
Use the Pythagorean Theorem to solve real-world problems involving right triangles. (MS 8.3.1.1)
Determine distance between two points on a coordinate system using Pythagorean Theorem (The
Distance Formula). (MS 8.3.1.2)
Frogs, Fleas and Painted Cubes
Topic 1: Quadratic Patterns
Key terms – you should be able to define and apply each key term:
Quadratic functions
Distributive Property
parabola
trinomial binomial
polynomial
Formulas, properties, and Equations:
monomial
y  ax 2  bx  c
H (t )  16t 2  v0t  h0 , where t is time in seconds and h is height in feet
Targets:
Be able to identify the quadratic relation in graphs, tables (via second difference), and equations.
Find the minimum, maximum, line of symmetry, x-intercepts, and y-intercepts.
Topic 2: Equivalent Quadratic Expressions
Key Terms – you should be able to define and apply each key term:
Distributive property
factored form
expanded form
combining like terms
Factoring (“un distributive property”)
Targets:
Convert from factored to expanded form using the Distributive Property.
Convert from expanded to factored form using the area models of factoring.
Topic 3: Solving Quadratic Equations
Key Terms:
Quadratic formula
factor
x-intercept
y-intercept
zeros maximum point
minimum point
line of symmetry
roots
Formulas:
Expanded Form: y  ax 2  bx  c
Factored Form: y = (x + h)(x + k)
Quadratic Formula: x 
b  b2  4ac
2a
Targets:
Use tables and graphs to solve for the independent and dependent variables in real-world problems
with quadratic relationships (i.e. gravity, ).
Use factoring to solve quadratic equations.
Say It with Symbols
Topic 1: Manipulating Numerical Expressions
Learning Targets:
Add, subtract, multiply, divide integers
Use order of operations to simplify.
Identify and use the properties: associative, commutative and distributive.
Topic 2: Manipulating Algebraic Expressions
Learning Targets:
Generate equivalent expression using properties. (MS 8.2.3.2)
Create an algebraic expression representing a real world situation. (MS 8.2.3.1)
Evaluate algebraic expressions including absolute values. (MS 8.2.3.1)
Topic 3: Solving Algebraic Equations
Learning Targets:
Identify properties of equality
Solve one and two step equations (MS 8.2.4.2)
Solve equations using the dist prop. (MS 8.2.4.2)
Solve equations with variable on both sides. (MS 8.2.4.2)
Solve equations with absolute value. (MS 8.2.4.2)
The Shapes of Algebra
Topic 1: Slope
Key Terms:
Parallel, Perpendicular, point-slope form, slope intercept form, standard form
Formulas:
Slope- Intercept Form: y = mx + b, y = ax + b, y = b + ax
Point-Slope Form: (y – y1) = m(x – x1)
Standard Form: Ax + By = C
Learning Targets:
Given sufficient information, express linear equations in slope-intercept, point-slope and standard
forms. (MS 8.2.4.3)
Convert between linear equations in slope-intercept, point-slope and standard forms. (MS 8.2.4.3)
Understand and apply the relationships between the slopes of parallel lines and between the slopes of
perpendicular lines. (MS 8.3.2.1)
Analyze polygons on a coordinate system by determining the slopes of their sides. (MS 8.3.2.2)
Given a line and point not on the line, find an equation of a line that is parallel and perpendicular
through that point. (MS 8.3.2.3)
Topic 2: Inequalities
Key Terms:
Linear inequality, greater than, greater than or equal to, less than, less than or equal to, satisfy, number
line,
Learning Targets:
Use linear inequalities to represent relationships in various contexts. (MS 8.2.4.4)
Represent and Solve linear inequalities using properties of inequalities including absolute values. (MS
8.2.4.5 and MS 8.2.4.6)
Graph the solutions of inequalities on a number line. (MS 8.2.4.5)
Topic 3: Systems of Linear Equations
Key Terms:
System of linear equations, intersecting lines, parallel lines, identical lines, solving by substitution,
solving by combination, solving by graphing.
Learning Targets:
Represent relationships in various contexts using systems of linear equations. (MS 8.2.4.7)
Solve systems of linear equations in two variables using tables, graphs or equations. (MS 8.2.4.7)
Use the solution of a system of linear equations to determine if the two lines are parallel, intersecting or
the same line. (MS 8.2.4.8)
Check whether a pair of numbers satisfies a system of two linear equations in two unknowns by
substituting the numbers into both equations. (MS 8.2.4.8)
Samples and Population
To be determined at a later date.