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Mr. Lora's Homepage
MATH 8th Grade
All Strands -CIM
 Mathematics |
| ible for statewide assessment. Bold text is for supporting
classroom instruction and assessment.
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Calculations and Estimations
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CCG: Numbers:
Understand numbers, ways of representing
numbers, relationships among numbers, and number
systems. |
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Eighth Grade |
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MA.08.CE.01 Compare numbers greater than
one expressed in scientific notation.
(4 Resources ) |
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MA.08.CE.02 Apply proportions to solve
problems.
(4 Resources ) |
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MA.08.CE.03 Locate rational numbers on a
number line.
(3 Resources ) |
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MA.08.CE.04 Apply equivalent forms of
rational numbers (including percents) to solve
problems.
(3 Resources ) |
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CCG: Computation and Estimation:
Compute fluently and make reasonable estimates. |
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Eighth Grade |
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MA.08.CE.05 Develop and analyze
algorithms and compute with rational
numbers.
(3 Resources ) |
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MA.08.CE.06 Use order of operation rules,
including exponents.
(3 Resources ) |
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MA.08.CE.07 Develop and use
strategies to estimate the results of rational
number computations and judge the
reasonableness of results.
(3 Resources ) |
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MA.08.CE.08 Estimate square roots of
whole numbers less than 100 and cube roots of
whole numbers less than 1000 between two whole
numbers.
(3 Resources ) |
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CCG: Operations and Properties:
Understand meanings of operations and how they
relate to one another. |
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Eighth Grade |
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MA.08.CE.09 Demonstrate the meaning of
square roots as lengths of the sides of squares
and cube roots as lengths of edges of cubes.
(3 Resources ) |
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MA.08.CE.10 Use the inverse operations of
squares and square roots to solve problems
and check solutions.
(3 Resources ) |
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MA.08.CE.11 Apply the associative,
commutative, and distributive properties to
simplify computations with rational numbers.
(3 Resources ) |
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MA.08.CE.12 Apply the property of
multiplicative inverses to determine solutions
of linear equations and inequalities.
(2 Resources ) |
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Statistics and Probability
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CCG: Statistics:
Select and use appropriate statistical methods
to analyze data. |
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Eighth
Grade |
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MA.08.SP.01 Choose appropriate measures
of central tendencies to describe given
or derived data.
(3 Resources ) |
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MA.08.SP.02 Estimate a line of best fit
on a scatter plot and informally explain
the meaning of the line and use the line
to make predictions.
(4 Resources ) |
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CCG: Probability:
Understand and apply basic concepts of
probability. |
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Eighth
Grade |
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MA.08.SP.03 Understand and use
appropriate terminology to describe
complementary and mutually exclusive events and
determine their probabilities.
(4 Resources ) |
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MA.08.SP.04 Apply theoretical probability
to determine if an event or game is fair or
unfair and pose and evaluate
modifications to change the fairness.
(3 Resources ) |
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CCG: Collect and Display Data:
Formulate questions that can be addressed with
data and collect, organize, and display relevant data to
answer them. |
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Eighth
Grade |
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MA.08.SP.05 Collect and display data as
lists, tables, and plots using appropriate
technology (e.g., graphing calculators, computer
software).
(3 Resources ) |
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MA.08.SP.06 Represent bivariate data in a
scatter plot and identify relationships
in the plot.
(3 Resources ) |
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CCG: Data Analysis and
Predictions:
Develop and evaluate inferences and predictions
that are based on data. |
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Eighth
Grade |
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MA.08.SP.07 Estimate or predict the
occurrence of future events using data.
(2 Resources ) |
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Algebraic
Relationships
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CCG: Patterns and Functions:
Understand patterns, relations, and functions. |
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Eighth
Grade |
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MA.08.AR.01 Represent, analyze and
determine rules for finding patterns relating to
linear functions, nonlinear functions and
arithmetic sequences with tables, graphs, and
symbolic rules.
(3 Resources ) |
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MA.08.AR.02 Identify functions as linear
or nonlinear from tables, graphs, or equations
and contrast their properties.
(3 Resources ) |
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MA.08.AR.03 Interpret the meaning of the
rate of change and y-intercept of a linear
relationship in a problem setting.
(3 Resources ) |
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CCG: Algebraic Relationships:
Represent and analyze mathematical situations
and structures using algebraic symbols. |
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Eighth
Grade |
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MA.08.AR.04 Represent and solve equations
of the form ax+b=c or k(ax+ b) = c.
(3 Resources ) |
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MA.08.AR.05 Approximate solutions of
systems of linear equations from a graph.
(3 Resources ) |
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MA.08.AR.06 Recognize and generate
equivalent symbolic forms for algebraic
expressions with an emphasis on linear
relationships.
(2 Resources ) |
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MA.08.AR.07 Evaluate algebraic
expressions and formulas, including expressions
involving exponents and parentheses, by
substituting rational numbers.
(3 Resources ) |
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MA.08.AR.08 Translate between and
interpret linear relationships represented by
words, symbols, tables, and graphs.
(3 Resources ) |
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MA.08.AR.09 Determine the slope and x-
and y-intercepts given the graph of a linear
equation.
(2 Resources ) |
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MA.08.AR.10 Graph a linear equation given
the slope and an initial value (y-intercept).
(2 Resources ) |
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MA.08.AR.11 Recognize and graph
the solutions of linear inequalities on a
number line.
(2 Resources ) |
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MA.08.AR.12 Graph simple quadratic
equations (y=kx^2 or y=kx^2+b) by generating a
table of values for a given equation.
(2 Resources ) |
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MA.08.AR.13 Identify and describe
the effects of changing the slope or
y-intercept on the graph of a linear
relationship of the form y=kx or y=kx+b.
(2 Resources ) |
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CCG: Modeling:
Use mathematical models to represent and
understand quantitative relationships. |
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Eighth
Grade |
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MA.08.AR.14 Model situations, make
predictions and inferences, and solve problems
using linear equations and inequalities.
(4 Resources ) |
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MA.08.AR.15 Recognize and
represent direct variation using tables,
graphs, and equations.
(2 Resources ) |
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MA.08.AR.16 Determine when data
represented in a table or graph represents a
linear or nonlinear relationship.
(3 Resources ) |
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CCG: Change:
Analyze change in various contexts. |
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Eighth
Grade |
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MA.08.AR.17 Understand that the rate of
change in a linear function is constant and is
equal to the slope of its graphed line.
(3 Resources ) |
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MA.08.AR.18 Determine the slope of a line
given two points on the line.
(2 Resources ) |
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MA.08.AR.19 Analyze the nature of change
in quantities in linear relationships
represented by graphs, tables, or formulas.
(3 Resources ) |
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Measurement
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CCG: Units and Tools:
Understand measurable attributes of objects and
the units, systems and processes of measurement. |
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Eighth
Grade |
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MA.08.ME.01 Determine an appropriate
scale for representing an object in a scale
drawing.
(3 Resources ) |
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MA.08.ME.02 Carry out unit conversions
between the metric and U.S. customary systems of
measurement given conversion ratios (e.g., 1 in
= 2.54 cm).
(3 Resources ) |
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MA.08.ME.03 Convert between units for
large and small numbers in the metric system
(e.g., mega- to kilo-).
(4 Resources ) |
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CCG: Direct & Indirect
Measurement:
Apply appropriate techniques, tools, and
formulas to determine measurements. |
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Eighth
Grade |
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MA.08.ME.04 Calculate and analyze changes
in area and volume in relation to changes in
linear measures of figures.
(5 Resources ) |
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MA.08.ME.05 Analyze how changes in
surface area and volume of a solid affect the
dimensions of the solid.
(4 Resources ) |
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MA.08.ME.06 Solve problems involving
rates and derived measurements for such
attributes as speed, velocity, and density.
(6 Resources ) |
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MA.08.ME.07 Determine actual distances
from scale drawings, blueprints, and maps and
solve problems involving scale factors.
(4 Resources ) |
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Geometry
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CCG: Properties and
Relationships:
Analyze characteristics and properties of two-
and three-dimensional geometric shapes and develop
mathematical arguments about geometric relationships |
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Eighth
Grade |
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MA.08.GM.01 Determine defining properties
that characterize classes of triangles including
side and angle measurements and their component
parts (e.g., angle bisectors, altitudes,
medians).
(2 Resources ) |
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MA.08.GM.02 Use proportional reasoning,
drawings, models or technology to demonstrate
similarity and congruence of polygons with an
emphasis on triangles.
(4 Resources ) |
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MA.08.GM.03 Determine the measures of
corresponding sides and angles of congruent and
similar triangles and their component parts.
(4 Resources ) |
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MA.08.GM.04 Use similar triangles to
measure distances indirectly (e.g., flagpole and
shadow).
(3 Resources ) |
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MA.08.GM.05 Use the Pythagorean theorem
to determine if triangles are right triangles
and determine the lengths of missing sides in
right triangles.
(3 Resources ) |
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MA.08.GM.06 Investigate triangles and
their components parts and draw conclusion about
their properties.
(4 Resources ) |
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MA.08.GM.07 Create and critique inductive
and deductive arguments to verify the
pythagorean theorem.
(4 Resources ) |
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MA.08.GM.08 Justify conclusions that two
triangles are or are not congruent and are or
are not similar.
(3 Resources ) |
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CCG: Modeling:
Use visualization, spatial reasoning, and
geometric modeling to solve problems. |
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Eighth
Grade |
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MA.08.GM.09 Draw to scale two-dimensional
representations of rectangular prisms and
triangles with specified side lengths or angle
measures.
(3 Resources ) |
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MA.08.GM.10 Construct and read
drawings and models made to scale.
(3 Resources ) |
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CCG: Coordinate Geometry:
Specify locations and describe spatial
relationships using coordinate geometry and other
representational systems. |
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Eighth
Grade |
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MA.08.GM.11 On a coordinate plane,
determine the relative placement (e.g.,
intersecting, parallel, perpendicular) of two
lines.
(3 Resources ) |
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MA.08.GM.12 Determine the distance
between two points on a coordinate graph using
right triangles and the Pythagorean theorem.
(2 Resources ) |
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CCG: Transformations and
Symmetry:
Apply transformations and use symmetry to
analyze mathematical situations. |
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Eighth
Grade |
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MA.08.GM.13 Classify transformations
based on whether they produce congruent or
similar non-congruent figures (e.g., compare
pairs of shapes where the image has been
transformed, identify the type of translation
and use angles, diagonals and lines of symmetry
to determine congruence).
(3 Resources ) |
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MA.08.GM.14 Identify and sketch
the figure that is the result of a given
rotation, translation, reflection or dilation or
a combination of two transformations.
(3 Resources ) |
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MA.08.GM.15 Know properties of dilated
images.
(3 Resources ) |
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MA.08.GM.16 Determine the effects of a
transformation on linear and area measurements
of the original figure.
(3 Resources ) |
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Mathematical Problem Solving
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CCG: Conceptual Understanding:
Select, apply, and translate among mathematical
representations to solve problems. |
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Eighth
Grade |
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MA.08.PS.01 Interpret the concepts of a
problem-solving task and translate them into
mathematics.
(4 Resources ) |
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CCG: Processes and Strategies:
Apply and adapt a variety of appropriate
strategies to solve problems. |
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Eighth
Grade |
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MA.08.PS.02 Choose strategies that can
work and then carry out the strategies chosen.
(4 Resources ) |
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CCG: Verification:
Monitor and reflect on the process of
mathematical problem solving. |
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Eighth
Grade |
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MA.08.PS.03 Produce identifiable evidence
of a second look at the
concepts/strategies/calculations to defend a
solution.
(4 Resources ) |
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CCG: Communication:
Communicate mathematical thinking coherently
and clearly. Use the language of mathematics to express
mathematical ideas precisely. |
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Eighth
Grade |
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MA.08.PS.04 Use pictures, symbols, and/or
vocabulary to convey the path to the identified
solution.
(4 Resources ) |
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CCG: Accuracy:
Accurately solve problems that arise in
mathematics and other contexts. |
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Eighth
Grade |
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MA.08.PS.05 Accurately solve problems
using mathematics.
(4 Resources ) |
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Under Construction
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