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WHAT ARE THE COMMON CORE STATESTANDARDS?
The standards are . . . aligned with college and work expectations. focused and coherent. rigorous in content and application of knowledge through
high-order thinking skills. built upon the strengths and lessons of current state
standards. internationally benchmarked so that all students are
prepared to succeed in our global economy and society. based on evidence and research. state led – coordinated by National Governors Association
Center for Best Practices and the Council of Chief State School Officers.
8TH GRADE COMMON CORE STATESTANDARDS FOR MATHEMATICS
What’s Moved Effect of changing one or more dimensions
on perimeter, area, or volume (to Geometry) Indirect measurement (to Geometry) Misuses of data (to AP Stats) Linear Inequalities (to Algebra I)
WHAT’S STILL THERE Irrational Numbers – approximate, compare and order, evaluate
square roots and cube roots of perfect squares and cubes Pythagorean Theorem Dilations Collect, organize, and display data (bivariate only) Describing correlation (positive or negative association) Informally fit a line to a set of data; interpret slope and
yintercept; solve problems; make predictions Four forms of functions – graphical, verbal, tabular, algebraic Relations and functions Linear vs. non-linear functions Linear function y = mx + b Find the rate of change (slope) and initial value (yintercept) from
any form; write the equation; interpret constants in context Solving one-variable equations
WHAT’S NEW
Moved from 6th grade: Express numbers in scientific notation and convert to
standard form and vice versa Interpret scientific notation on the calculator Translations, rotations, reflections
Moved from 7th grade: Volume of cylinders Outliers
Moved from AP Statistics: Association between categorical variables Clusters in data Other Compare numbers expressed as powers of ten Express congruence and similarity between two figures as a
series of transformations
WHAT’S NEW
Moved from Algebra I: Negative exponents Operations with scientific notation Use the Pythagorean Theorem to find the distance between
two points Describing a set of data as having a linear or nonlinear
association Solve a system of linear equations graphically and
algebraically Proportional relationships (direct variation) Geometric connection to constant rate of change (similar
triangles) Sketch a graph that exhibits the features of a function
described verbally Describe features of a functional relationship between two
quantities by analyzing the graph
WHAT’S NEW
Moved from Geometry: Volume of cones & spheres Understand the properties of congruence
motions Informally prove angle sum and exterior
angle theorems and angle pair theorems when two parallel lines are cut by a transversal
Prove the Pythagorean Theorem and its converse
MOVED OUT OF ALGEBRA 1:
To 7th grade: Direct Variation
To Geometry: Parallel and Perpendicular Lines
To 4th math course: Matrices
MOVED OUT OF ALGEBRA 1: To 8th grade: Negative exponents Operations with scientific notation Use the Pythagorean Theorem to find the distance between
two points Describing a set of data as having a linear or nonlinear
association Solve a system of linear equations graphically and
algebraically Proportional relationships (direct variation) Geometric connection to constant rate of change (similar
triangles) Sketch a graph that exhibits the features of a function
described verbally Describe features of a functional relationship between two
quantities by analyzing the graph
WHAT’S STILL THERE: Add, subtract, and multiply polynomials (linear and quadratic) Factoring Arithmetic and geometric sequences – both recursive and
explicit forms; recursive function notation Linear, quadratic, and exponential models; interpret in context Calculate correlation coefficient & interpret Solve one-variable equations and inequalities – linear;
exponential with integer inputs Solve quadratic equations with real solutions – using square
roots, factoring Functions – linear, exponential; Function notation Arithmetic and geometric sequences Applications of systems of linear equations Linear inequalities System of linear inequalities Graph linear, exponential, and quadratic functions
WHAT’S NEW:
More emphasis on key features of functions
From Middle School: Univariate data
From Algebra II: Rational exponents Properties of irrational numbers Derive the formula for the sum of a finite
geometric series and use it to solve problems (e.g. calculate mortgage payments)
Residuals; residual plots to assess goodness-of-fit
WHAT’S NEW:
From Algebra II (Cont.) Solve quadratic equations with real solutions – by
completing the square and the quadratic formula Systems of linear and quadratic equations Complete the square to find the vertex of a quadratic
function Rewrite exponential expressions to find rate of
growth or decay Graph absolute value, step, and piecewise-defined
functions
From AP Statistics: Distinguish between correlation and causation Categorical data