|
8.N
Number and Operations
|
-
8.N.1
Understand numbers, ways of representing numbers, relationships among numbers and number systems
-
8.N.1.A
compare and order all rational numbers including percents, and find their approximate location on a number line
-
8.N.1.B
use fractions, decimals and percents to solve problems
-
8.N.1.C
recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including scientific notation
-
8.N.2
Understand meanings of operations and how they relate to one another
-
8.N.2.C
apply properties of operations to all rational numbers including order of operations and inverse operations
|
|
8.A
Algebraic Relationships
|
-
8.A.1
Understand patterns, relations and functions
-
8.A.1.B
generalize patterns represented graphically or numerically with words or symbolic rules, using explicit notation
-
8.A.1.C
compare and contrast various forms of representations of patterns
-
8.A.1.D
identify functions as linear or nonlinear from tables, graphs or equations
-
8.A.2
Represent and analyze mathematical situations and structures using algebraic symbols
-
8.A.2.A
use symbolic algebra to represent and solve problems that involve linear relationships
-
8.A.2.B
use properties to generate equivalent forms for simple algebraic expressions that include all rationals
-
8.A.3
Use mathematical models to represent and understand quantitative relationships
-
8.A.3.A
model and solve problems, using multiple representations such as graphs, tables, and linear equations
-
8.A.4
Analyze change in various contexts
-
8.A.4.A
analyze the nature of changes (including slope and intercepts) in quantities in linear relationships
|
|
8.G
Geometric and Spatial Relationships
|
-
8.G.1
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
-
8.G.1.A
describe, classify and generalize relationships between and among types of a) 2-dimensional objects and b) 3- dimensional objects using their defining properties including Pythagorean Theorem
-
Pythagorean theorem: Pythagorean theorem: find the length of the hypotenuse (Eighth grade - O.1)
-
Pythagorean theorem: Pythagorean theorem: find the missing leg length (Eighth grade - O.2)
-
Pythagorean theorem: Pythagorem theorem: find the perimeter (Eighth grade - O.3)
-
Pythagorean theorem: Pythagorean theorem: word problems (Eighth grade - O.4)
-
Pythagorean theorem: Converse of the Pythagorean theorem: is it a right triangle? (Eighth grade - O.5)
-
Geometry: Identify complementary, supplementary, vertical, adjacent, and congruent angles (Eighth grade - Q.1)
-
Geometry: Find measures of complementary, supplementary, vertical, and adjacent angles (Eighth grade - Q.2)
-
Geometry: Transversal of parallel lines (Eighth grade - Q.3)
-
Geometry: Classify triangles (Eighth grade - Q.4)
-
Geometry: Classify quadrilaterals (Eighth grade - Q.5)
-
Geometry: Find missing angles in triangles and quadrilaterals (Eighth grade - Q.6)
-
Geometry: Identify and classify polygons (Eighth grade - Q.7)
-
Geometry: Interior angles of polygons (Eighth grade - Q.8)
-
Geometry: Similar and congruent figures (Eighth grade - Q.9)
-
Geometry: Similar figures: side lengths and angle measures (Eighth grade - Q.10)
-
Geometry: Congruent figures: side lengths and angle measures (Eighth grade - Q.11)
-
Geometry: Congruence statements and corresponding parts (Eighth grade - Q.12)
-
Geometry: Congruent triangles: SSS, SAS, and ASA (Eighth grade - Q.13)
-
Geometry: Parts of a circle (Eighth grade - Q.17)
-
Geometry: Find lengths and measures of bisected lines and angles (Eighth grade - Q.20)
-
Geometry: Front, side, and top view (Eighth grade - Q.21)
-
Geometry: Base plans (Eighth grade - Q.22)
-
Geometry: Names and parts of 3-dimensional figures (Eighth grade - Q.23)
-
Geometry: Nets of 3-dimensional figures (Eighth grade - Q.24)
-
Geometry: Similar solids (Eighth grade - Q.30)
-
Geometry: Volume and surface area of similar solids (Eighth grade - Q.31)
-
Geometry: Perimeter, area, and volume: changes in scale (Eighth grade - Q.32)
-
8.G.2
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
-
8.G.2.A
use coordinate geometry to analyze properties of right triangles and quadrilaterals (including the use of the Pythagorean Theorem)
-
8.G.3
Apply transformations and use symmetry to analyze mathematical situations
-
8.G.3.A
reposition shapes under formal transformations such as reflection, rotation and translation
-
8.G.3.B
describe the relationship between the scale factor and the area of the image using a dilation (stretching/ shrinking)
-
8.G.3.C
identify the number of rotational symmetries of regular polygons
-
8.G.4
Use visualization, spatial reasoning and geometric modeling to solve problems
-
8.G.4.A
create isometric drawings from a given mat plan
-
8.G.4.B
draw or use visual models to represent and solve problems
-
Integers: Integers on number lines (Eighth grade - B.1)
-
Operations with integers: Add and subtract integers using counters (Eighth grade - C.2)
-
Ratios and proportions: Understanding ratios (Eighth grade - H.1)
-
Ratios and proportions: Constant rate of change (Eighth grade - H.12)
-
Proportional relationships: Identify proportional relationships (Eighth grade - I.1)
-
Proportional relationships: Find the constant of variation: graphs (Eighth grade - I.2)
-
Proportional relationships: Graph a proportional relationship (Eighth grade - I.4)
-
Proportional relationships: Write an equation for a proportional relationship (Eighth grade - I.5)
-
Problem solving: Use Venn diagrams to solve problems (Eighth grade - M.3)
-
Pythagorean theorem: Pythagorean theorem: find the length of the hypotenuse (Eighth grade - O.1)
-
Pythagorean theorem: Pythagorean theorem: find the missing leg length (Eighth grade - O.2)
-
Pythagorean theorem: Pythagorem theorem: find the perimeter (Eighth grade - O.3)
-
Coordinate graphs: Points on coordinate graphs (Eighth grade - P.1)
-
Coordinate graphs: Quadrants and axes (Eighth grade - P.2)
-
Coordinate graphs: Coordinate graphs as maps (Eighth grade - P.3)
-
Coordinate graphs: Distance between two points (Eighth grade - P.4)
-
Geometry: Identify complementary, supplementary, vertical, adjacent, and congruent angles (Eighth grade - Q.1)
-
Geometry: Find measures of complementary, supplementary, vertical, and adjacent angles (Eighth grade - Q.2)
-
Geometry: Transversal of parallel lines (Eighth grade - Q.3)
-
Geometry: Classify triangles (Eighth grade - Q.4)
-
Geometry: Classify quadrilaterals (Eighth grade - Q.5)
-
Geometry: Find missing angles in triangles and quadrilaterals (Eighth grade - Q.6)
-
Geometry: Identify and classify polygons (Eighth grade - Q.7)
-
Geometry: Interior angles of polygons (Eighth grade - Q.8)
-
Geometry: Similar and congruent figures (Eighth grade - Q.9)
-
Geometry: Similar figures: side lengths and angle measures (Eighth grade - Q.10)
-
Geometry: Congruent figures: side lengths and angle measures (Eighth grade - Q.11)
-
Geometry: Congruence statements and corresponding parts (Eighth grade - Q.12)
-
Geometry: Congruent triangles: SSS, SAS, and ASA (Eighth grade - Q.13)
-
Geometry: Perimeter (Eighth grade - Q.14)
-
Geometry: Area (Eighth grade - Q.15)
-
Geometry: Parts of a circle (Eighth grade - Q.17)
-
Geometry: Circles: calculate area, circumference, radius, and diameter (Eighth grade - Q.18)
-
Geometry: Find lengths and measures of bisected lines and angles (Eighth grade - Q.20)
-
Geometry: Front, side, and top view (Eighth grade - Q.21)
-
Geometry: Base plans (Eighth grade - Q.22)
-
Geometry: Names and parts of 3-dimensional figures (Eighth grade - Q.23)
-
Geometry: Nets of 3-dimensional figures (Eighth grade - Q.24)
-
Geometry: Surface area of prisms and cylinders (Eighth grade - Q.25)
-
Geometry: Surface area of pyramids and cones (Eighth grade - Q.26)
-
Geometry: Volume of prisms and cylinders (Eighth grade - Q.27)
-
Geometry: Volume of pyramids and cones (Eighth grade - Q.28)
-
Geometry: Volume and surface area of spheres (Eighth grade - Q.29)
-
Geometry: Similar solids (Eighth grade - Q.30)
-
Geometry: Volume and surface area of similar solids (Eighth grade - Q.31)
-
Geometry: Perimeter, area, and volume: changes in scale (Eighth grade - Q.32)
-
Transformations: Identify reflections, rotations, and translations (Eighth grade - R.1)
-
Transformations: Translations: graph the image (Eighth grade - R.2)
-
Transformations: Translations: find the coordinates (Eighth grade - R.3)
-
Transformations: Reflections: graph the image (Eighth grade - R.4)
-
Transformations: Reflections: find the coordinates (Eighth grade - R.5)
-
Transformations: Rotations: graph the image (Eighth grade - R.6)
-
Transformations: Rotations: find the coordinates (Eighth grade - R.7)
-
Transformations: Dilations: graph the image (Eighth grade - R.8)
-
Transformations: Dilations: find the coordinates (Eighth grade - R.9)
-
Transformations: Dilations: scale factor and classification (Eighth grade - R.10)
-
Transformations: Symmetry (Eighth grade - R.11)
-
Variable expressions: Write variable expressions to represent diagrams (Eighth grade - T.2)
-
Single-variable equations: Model and solve equations using algebra tiles (Eighth grade - U.2)
-
Single-variable equations: Write and solve equations that represent diagrams (Eighth grade - U.3)
-
Linear functions: Complete a function table (Eighth grade - V.3)
-
Linear functions: Write a rule for a function table (Eighth grade - V.4)
-
Linear functions: Find points on a function graph (Eighth grade - V.5)
-
Linear functions: Graph a line from a function table (Eighth grade - V.6)
-
Linear functions: Graph a line from an equation (Eighth grade - V.7)
-
Linear functions: Find the slope of a graph (Eighth grade - V.9)
-
Linear functions: Graph a line using slope (Eighth grade - V.12)
-
Nonlinear functions: Identify linear and nonlinear functions (Eighth grade - W.1)
-
Inequalities: Inequalities on number lines (Eighth grade - X.1)
-
Monomials and polynomials: Model polynomials with algebra tiles (Eighth grade - Y.2)
-
Monomials and polynomials: Add and subtract polynomials using algebra tiles (Eighth grade - Y.3)
-
Monomials and polynomials: Multiply polynomials using algebra tiles (Eighth grade - Y.11)
|
|
8.M
Measurement
|
-
8.M.2
Apply appropriate techniques, tools and formulas to determine measurements
-
8.M.2.B
solve problems of angle measure, including those involving triangles and parallel lines cut by a transversal
-
8.M.2.D
analyze precision and accuracy in measurement situations and determine number of significant digits
|
|
8.D
Data and Probability
|
-
8.D.1
Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them
-
8.D.1.C
select, create and use appropriate graphical representation of data (including scatter plots) and box plots (box and whiskers)
-
8.D.2
Select and use appropriate statistical methods to analyze data
-
8.D.2.A
find, use and interpret measures of center, outliers and spread, including range and interquartile range
-
Statistics: Calculate mean, median, mode, and range (Eighth grade - BB.1)
-
Statistics: Interpret charts to find mean, median, mode, and range (Eighth grade - BB.2)
-
Statistics: Mean, median, mode, and range: find the missing number (Eighth grade - BB.3)
-
Statistics: Changes in mean, median, mode, and range (Eighth grade - BB.4)
-
Statistics: Quartiles (Eighth grade - BB.5)
-
8.D.2.B
compare different representations of the same data and evaluate how well each representation shows important aspects of the data
-
8.D.3
Develop and evaluate inferences and predictions that are based on data
-
8.D.3.A
make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit
|
|