Number & Operations  (N & O)

Geometry & Measurement   (G & O)

7-1

Rational Numbers

·        percent as a way of comparing parts to whole when wholes vary in magnitude

( 8 girls out of 16 stud. comp. to 8 girls out if 20 stud.)

·        Percent as a way of expressing multiples of a number

   (ex. 200% of 50)

Property of angle relationships

·        Resulting from 2 or 3 intersecting lines

§         adjacent, vertical & straight angles

§         angle relationships formed by 2 non-parallel

           lines cut by a transversal

·        angle relationships formed by 2 parallel lines cut by a transversal

7-2

Relative Magnitude of Numbers

·        order/compare / identify equivalent rational numbers

§         across number formats      using number line or

§         absolute value                  equality & inequality

§         scientific notation                   symbols

§         whole # bases w/ whole # exp.    

Apply theorems / relationships to solve problems

·        triangle inequality

·        sum of the measures of interior angles of regular polygons

7-3

(tested in a previous grade)

(tested in a previous grade)

7-4

Solve problems involving proportional reasoning

·        percent involving discounts, tax & tip

·        rates

(ability to use brackets & exponents in order of ops)

Congruency

·        problems on a coordinate plane

§         reflections

§         translations

§          rotations

7-5

(tested in a previous grade)

Similarity

·          impact of scaling on area of polygons & circles  when dimensions are multiplied by a constant factor

7-6

(tested in a previous grade)

 Area & Volume

·        circles  (area)

·        area & perimeter of composite figures

·        surface area of rectangular prism

·          volume of rect. & triangular prism & cylinder

·          uses appropriate units

Functions & Algebra  (F & A)

Data, Statistics, Probability    (DSP)

7-1

Identifies/extends patterns  (linear & nonlinear)

·        generalizes a linear relationship using words/symbols

·          generalizes a linear relationships to find a specific case

·          write expressions/equation with words/symbols to express generalization of nonlinear relationship

Interprets

·        scatter plots                            to analyze data

       (in discrete linear relationships)   to formulate /

·        histograms                               justify concl.,   

                                                     make predictions,

                                                        solve problems

7-2

Linear relationships (y=kx; y=mx+b)

·        solves problems involving relationship between slope & rate of change

§         describes meaning of slope in concrete situations

§         informally determines slope from table/graph

§         distinguishes between constant & varying rates of change

       represented in tables/graphs

Analyzes

·        patterns, trends or distributions using

§         outliers

§         effect outliers have on mean, median, mode

·        evaluates sample from which statistics were 

        developed

§         bias

7-3

Algebraic Expressions

·        write algebraic expressions (including whole number exponents or more than 1 variable)

·        evaluates alg. exp. with whole number exponents

Identifies & describes representations

§         that best display given set of data

7-4

Equality

·        solve equations

·        solve multi-step linear equations w/ variables on both sides & fractions w/ variable in numerator

·        translates word problem into equation

(tested in a previous grade)

7-5

(tested in a previous grade)

Probability   (review from gr. 6)

·        in events where sample space may or may not contain equally likely outcomes determine

§         experimental probability

§         theoretical probability

7-6

(tested in a previous grade)

(tested in a previous grade)