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Although new K-8 Mathematics Standards were approved in April of 2008, the 2009-2010 school year is the first full year of implementation. State assessments (MSP: Measure of Student Progress) in the spring will test student proficiency on the standards detailed below.

Course Outline for Mathematics Seven   2009 - 2010

·      Rational Numbers and Linear Equations

o       Compare and order rational numbers

o       Represent operations of integers and fractions visually and numerically

o       Fluently and accurately add, subtract, multiply and divide rational numbers

o       Define and determine the absolute value of a number

o       Solve one- and two-step linear equations

o       Write equations that correspond to a problem situation and create a problem situation to match a given equation

o       Solve single and multi-step word problems involving rational numbers

·      Proportionality and Similarity

o       Mentally add, subtract, multiply and divide simple fractions, decimals, and percents

o       Solve single- and multi-step problems involving proportional relationships

o       Describe proportional relationships in similar figures; solve problems involving similar figures

o       Make scale drawings; solve problems related to scale

o       Represent proportional relationships in multiple ways (tables, graphs, equations)

o       Determine the slope of a line corresponding to the graph of a proportional relationship and relate the slope to similar triangles

o       Determine unit rates in proportional relationships

o       Solve single- and multi-step problems involving conversions within and between measurement systems

·         Surface Area and Volume

o       Describe and sort polyhedra by their attributes

o       Determine surface area and volume for prisms, pyramids and cylinders; solve related word problems

o       Describe the effect that a change in scale factor has on an attribute of a three-dimensional figure

·         Probability and Data

o       Represent sample space in multiple ways (e.g. tree diagrams)

o       Determine theoretical probability of events; use it to predict experimental outcomes

o       Describe a data set using measures of center and variability

o       Construct and interpret histograms, stem-&-leaf plots, and circle graphs

o       Evaluate different displays of the same data for effectiveness and bias

·      Additional Key Content

o     Graph ordered pairs of rational numbers; determine the coordinates of a given point

o     Write the prime factorization of whole numbers, using exponents

The following units in the Connected Mathematics2 series will be used:

Bits & Pieces 2                                             Variables & Patterns

Accentuate the Negative                             Stretching & Shrinking

Comparing & Scaling                                  What Do You Expect?

Filling & Wrapping                                       Data Dimensions 

 

Course Outline for Mathematics Eight   2009 - 2010

 ·      Linear Functions and Equations

o       Understand and use ratios, proportions, and percents to solve problems

o       Solve one-variable linear equations

o       Solve one- and two-step linear inequalities, and graph on a number line

o       Represent linear function using multiple representations

o       Determine the slope and y-intercept of a linear function

o       Interpret the slope and y-intercept in situations (problems)

o       Solve single- and multi-step word problems involving linear functions

·      Properties of Geometric Figures

o       Special properties of angle pairs (e.g. complementary)

o       Determine missing angles measures using relationships among angles

o       Angle sums of polygons; finding missing angle measures in polygons

o       Translations, rotations, reflections, and dilations of geometric figures

o       Square numbers and square roots

o       Pythagorean Theorem and its applications

·        Summary and Analysis of Data Sets

o       Compare data sets in terms of variability and measures of center

o       Select, construct, and analyze data displays, including box-and-whisker plots, to compare two sets of data

o       Create scatter plots for two-variable data sets, including trend lines for predictions

o       Understand and evaluate different methods of statistical sampling

o       Determine probabilities for mutually exclusive, dependent, and independent events

o       Use counting techniques and Venn diagrams to solve problems

·       Additional Key Content

o     Represent numbers in scientific notation

o     Translate numbers written in scientific notation into standard form

o     Solve problems involving operations with numbers written in scientific notation

o     Evaluate numerical expressions involving non-negative integer exponents

o     Identify rational and irrational numbers

 The following units in the Connected Mathematics2 series will be used:

Comparing & Scaling                                  Moving Straight Ahead

Looking for Pythagoras                               Samples & Populations

What Do You Expect?                                 Kaleidoscopes, Hubcaps, & Mirrors

Other mini-units include:

Scientific notation

Special Properties of Lines, Angles, and Polygons