### A: Arithmetic

#### A.C: Arithmetic Concepts

A.C.1: Number Sense With Regard to Decimal and Fractional Notation and Operation Sense

A.C.1.1: Reading, writing, various representations, patterns, properties

A.C.1.2: Fractional, decimal and exponential (integral exponent) notation; percentage, square root

A.C.1.4: Rules of signs for numbers written in decimal notation

A.C.1.5: Equality relation: meaning, properties and rules for transforming numerical equalities (balancing equalities)

A.C.1.6: Inverse operations: addition and subtraction, multiplication and division, square and square root

A.C.1.7: Properties of operations:

A.C.1.7.b: Distributive property of multiplication over addition or subtraction and factoring out the common factor

A.C.1.8: Order of operations and the use of no more than two levels of parentheses in different contexts

A.C.3: Understanding Proportionality

A.C.3.1: Ratio and Rate

A.C.3.1.a: Ratios and Equivalent Rates

A.C.3.1.b: Unit Rate

A.C.3.2: Proportion

A.C.3.2.a: Equality of ratios and rates

A.C.3.2.b: Ratio and proportionality coefficient

A.C.3.3: Direct or inverse variation

#### A.P: Arithmetic Processes

A.P.1: Different Ways of Writing and Representing Numbers

A.P.1.3: Using a variety of representations (e.g. numerical, graphic)

A.P.1.4: Recognizing and using equivalent ways of writing numbers:

A.P.1.4.b: Equivalent fractions

A.P.1.5: Switching from one way of writing numbers to another or from one type of representation to another

A.P.1.7: Locating numbers on a number line, abscissa (x-coordinate) of a point

A.P.2: Operations Involving Numbers Written in Decimal and Fractional Notation

A.P.2.1: Estimating and rounding numbers in different situations

A.P.2.3: Approximating the result of an operation

A.P.2.4: Simplifying the terms of an operation

A.P.2.6: Written computation: the four operations involving numbers that are easy to work with (including large numbers) and sequences of simple operations performed in the proper order (numbers written in decimal notation), using equivalent ways of writing numbers and the properties of operations

A.P.2.7: Use of a calculator: operations and sequences of operations performed in the proper order

A.P.3: Working With a Proportional Situation

A.P.3.1: Comparison of ratios and of rates

A.P.3.2: Recognizing a proportional situation by referring to the context, a table of values or a graph

A.P.3.3: Solving a proportional situation

A.P.3.4: Finding ordered pairs in a Cartesian plane [abscissa (x-coordinate) and ordinate (y-coordinate) of a point

### B: Algebra

#### B.C: Algebra Concepts

B.C.1: Algebraic expression

B.C.1.a: Variable

B.C.1.b: Coefficient

B.C.2: Equality, equation and unknown

B.C.3: First-degree equation with one unknown expressed in the form ax+b = cx + d

#### B.P: Algebra Processes

B.P.1: Constructing an algebraic expression

B.P.2: Recognizing and finding equivalent algebraic expressions

B.P.3: Numerical evaluation of an algebraic expression

B.P.4: Manipulating algebraic expressions

B.P.4.b: Multiplication and division by a constant

### C: Probability

#### C.C: Probability Concepts

C.C.1: Random Experiment

C.C.1.a: Random experiments involving one or more steps (with or without replacement, with or without order)

C.C.1.b: Outcome of a random experiment

C.C.1.c: Sample space

C.C.2: Event

C.C.2.a: Certain, probable and impossible events

C.C.2.b: Simple, complementary, compatible, incompatible, dependent and independent events

C.C.3: Theoretical probability and experimental probability

#### C.P: Probability Processes

C.P.1: Enumerating possibilities using different types of representations: tree diagram, network, table, etc

C.P.2: Calculating the probability of an event

### D: Statistics

#### D.C: Statistics Concepts

D.C.1: Population, sample

D.C.1.a: Sample survey, poll, census

D.C.1.b: Representative sample

D.C.1.c: Sampling methods: simple random, systematic

D.C.1.d: Sources of bias

D.C.3: Table: characteristics, frequencies

D.C.4.a: bar graphs

D.C.4.b: broken-line graphs

D.C.4..c: circle graphs

D.C.5: Arithmetic mean and range

#### D.P: Statistics Processess

D.P.1: Conducting a survey or a census

D.P.1.a: Determining the population or the sample

D.P.2: Organizing and choosing certain tools to present data

D.P.2.2: Constructing graphs

D.P.2.2.a: bar graphs

D.P.2.2.b: broken-line graphs

D.P.2.2.c: circle graphs

D.P.2.3: Highlighting some of the information that can be derived from a table or a graph (e.g. minimum value, maximum value, range, mean)

### E: Geometry

#### E.C: Geometry Concepts

E.C.1: Plane Figures

E.C.1.1: Triangles, quadrilaterals and regular convex polygons

E.C.1.1.a: Main segments and liens: bisector, perpendicular bisector, median, altitude

E.C.1.1.b: Base, height

E.C.1.2: Circle and sector

E.C.1.3: Measurement

E.C.1.3.b: Length

E.C.1.3.c: Perimeter, circumference

E.C.1.3.d: Area, lateral area, total area

E.C.2: Angles

E.C.2.1: Complementory, supplementory

E.C.2.2: Formed by two intersecting lines: vertically opposite, adjacent

E.C.2.3: Formed by a transal intersecting two other lines: alternate interior, alternate exterior, corresponding

E.C.3: Solids

E.C.3.1: Right prisms, right pyramids and right cylinders

E.C.3.2: Possible nets of a solid

E.C.4: Congruent and similar figures

#### E.P: Geometry Processes

E.P.1: Geometric constructions

E.P.2: Geometric transformations

E.P.2.1: Translation, rotation, reflection

E.P.2.2: Dilation with a positive scale factor

E.P.3: Finding unknown measureents

E.P.3.1: Angles

E.P.3.1.a: Unknown measurement in different situations

E.P.3.2: Lengths

E.P.3.2.a: Perimeter of a plane figure

E.P.3.2.b: Circumference of a circle and arc length

E.P.3.2.e: Perimeter of a figure resulting from a similarity transformation

E.P.3.2.f: Segments resulting from an isometry or a similarity transformation

E.P.3.2.g: Unknown measure of a segment in a plane figure

E.P.3.3: Areas

E.P.3.3.a: Area of polygons that can be split into triangles and quadrilaterals

E.P.3.3.b: Area of circles and sectors

E.P.3.3.d: Lateral or total area of right prisms, right cylinders, and right pyramids

Correlation last revised: 2/12/2010

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