1: Number and Operations

1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order integers, positive rationals and percents, including finding their approximate location on a number line

1.1.B: Represent and use rational numbers

1.1.B.1: use fractions, decimals and percents to solve problems

1.1.C: Compose and decompose numbers

1.1.C.1: recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation

1.2: Understand meanings of operations and how they relate to one another

1.2.B: Describe effects of operations

1.2.B.1: describe the effects of multiplication and division on fractions and addition and subtraction on integers

1.2.C: Apply properties of operations

1.2.C.1: apply properties of operations (including order of operations) to positive rational numbers

1.2.D: Apply operations on real and complex numbers

1.2.D.1: approximate the value of square roots to the nearest whole number

1.3: Compute fluently and make reasonable estimates

1.3.C: Compute problems

1.3.C.1: multiply and divide positive rational numbers

1.3.D: Estimate and justify solutions

1.3.D.1: estimate and justify the results of multiplication and division of positive rational numbers

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions, such as scaling and finding equivalent ratios

2: Algebraic Relationships

2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: analyze patterns represented graphically or numerically using words or symbolic rules, including recursive notation

2.1.D: Identify and compare functions

2.1.D.1: identify functions as linear or nonlinear from tables, graphs or equations

2.2: Represent and analyze mathematical situations and structures using algebraic symbols

2.2.A: Represent mathematical situations

2.2.A.1: use variables to represent unknown quantities in equations and inequalities

2.3: Use mathematical models to represent and understand quantitative relationships

2.3.A: Use mathematical models

2.3.A.1: model and solve problems, using multiple representations such as graphs, tables, expressions, equations or inequalities

2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: compare situations with constant or varying rates of change

3: Geometric and Spatial Relationships

3.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships

3.1.A: Describe and use geometric relationships

3.1.A.1: classify 2- and 3- dimensional shapes based on their properties

3.1.B: Apply geometric relationships

3.1.B.1: describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons

3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

3.2.A: Use coordinate systems

3.2.A.1: given ordered pairs, identify geometric shapes in the coordinate plane using their properties

3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: reposition shapes under informal transformations, such as reflection (flip), rotation (turn) and translation (slide)

3.3.B: Use transformations on functions

3.3.B.1: describe the relationship between the scale factor and the perimeter of the image using a dilation (contractionsmagnifications) (stretching/shrin -king)

3.3.C: Use symmetry

3.3.C.1: determine all lines of symmetry of polygons

4: Measurement

4.1: Understand measurable attributes of objects and the units, systems and processes of measurement

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify the unit of measure for volume (customary and metric)

4.1.C: Tell and use units of time

4.1.C.1: solve problems involving addition and subtraction of time (hours, minutes and seconds)

4.2: Apply appropriate techniques, tools and formulas to determine measurements.

4.2.C: Apply geometric measurements

4.2.C.1: describe how to solve problems involving circumference and/or area of a circle

4.2.D: Analyze precision

4.2.D.1: analyze precision and accuracy in measurement situations

5: Data and Probability

5.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

5.1.C: Represent and interpret data

5.1.C.1: select, create and use appropriate graphical representation of data, including circle graphs, histograms and box plots (box and whiskers)

5.2: Select and use appropriate statistical methods to analyze data

5.2.A: Describe and analyze data

5.2.A.1: find, use and interpret measures of center and spread, including ranges and interquartile range

5.2.B: Compare data representations

5.2.B.1: compare different representations of the same data and evaluate how well each representation shows important aspects of the data

5.4: Understand and apply basic concepts of probability

5.4.A: Apply basic concepts of probability

5.4.A.1: use models to compute the probability of an event

Correlation last revised: 10/24/2008

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