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Grade 8         Mathematics                                      I Can Statements

Standard 1      Number and Operations

M.S.8.1         Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of numbers,
ways of representing numbers, and
relationships among numbers and
number systems,
   demonstrate meanings of operations and
how they relate to one another, and
   compute fluently and make reasonable
estimates.

M.O.8.1.1       analyze, describe and compare the                I can locate real numbers on a number line.
characteristics of rational and irrational       I can classify numbers as rational or irrational.
numbers.
I can analyze the characteristics of rational and irrational numbers.
I can compare rational and irrational numbers.
Fact Monster
Prize Numbers (Rational Numbers)

M.O.8.1.2       analyze and solve application problems with      I can solve problems with square roots.
   powers,                                  I can solve problems with squares.
   squares,                                 I can solve problems with powers.
   square roots,                            I can solve problems using scientific notation.
   scientific notation, and                 I can solve problems and verify my solutions using estimation techniques.
verify solutions using estimation techniques.

Coolmath Exponents and radicals (Scroll down)
Cool Math: Solving Quadratics by the Square
Root
Multiplication of Numbers with One Decimal
Division with decimals
Purple Math: Basic Percent of Word Problems
Math Exponents
Grade 8      Mathematics                                       I Can Statements

Standard 1   Number and Operations

M.S.8.1      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of numbers,
ways of representing numbers, and
relationships among numbers and
number systems,
   demonstrate meanings of operations and
how they relate to one another, and
   compute fluently and make reasonable
estimates.

M.O.8.1.3    analyze and solve grade-appropriate real-world    I can solve real world problems that involve rates and verify my solution by
problems with                                     estimating.
   whole numbers,                             I can solve real world problems that involve tips and verify my solution by
   decimals,                                  estimating.
I can solve real world problems that involve discounts and verify my
   fractions,
solution by estimating.
   percents, percent increase and decrease,
I can solve real world problems that involve sales tax and verify my solution
   integers, and                              by estimating.
including, but not limited to, rates, tips,       I can solve real world problems that involve interest and verify my solution
discounts, sales tax and interest and verify      by estimating.
solutions using estimation techniques.            I can solve real world problems with whole numbers.
I can solve real world problems with decimals.
Discounts, Tips, Sales Tax and Simple Interest    I can solve real world problems with fractions.
(Lesson Plan)
I can solve real world problems involving percents (increases and
Percents and Probability                          decreases).
Math Integers                                     I can solve real world problems involving integers.
Math Decimals
Grade 8      Mathematics                                         I Can Statements

Standard 2   Algebra

M.S.8.2      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of patterns,
relations and functions,
   represent and analyze mathematical
situations and structures using algebraic
symbols,
   use mathematical models to represent
and understand quantitative
relationships, and
   analyze change in various contexts.

M.O.8.2.1    use a variety of strategies to solve one and two-   I can solve one-step linear equations.
step linear equations and inequalities with         I can solve one-step inequalities
rational solutions; defend the selection of the
strategy; graph the solutions and justify the       I can solve two-step linear equations.
reasonableness of the solution.                     I can solve two-step inequalities.
I can graph the solution to the linear equation.
Graphing Equations and Inequalities                 I can graph the solution to the inequality.
paul’s Online Math Notes: Linear Equations          I can justify my answer to the linear equation and show that it is reasonable.
Solving Linear Equations Tutorial                   I can justify my answer to the inequality and show that it is reasonable.

M.O.8.2.2    identify proportional relationships in real-world   I can identify proportional relationships in real world situations.
situations, then find and select an appropriate     I can find and select an appropriate method to determine the solution.
method to determine the solution; justify the
reasonableness of the solution.                     I can justify that my solution is reasonable.

Geometry
Perplexing Puzzle (Lesson Plan)
Grade 8      Mathematics                                        I Can Statements

Standard 2   Algebra

M.S.8.2      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of patterns,
relations and functions,
   represent and analyze mathematical
situations and structures using algebraic
symbols,
   use mathematical models to represent
and understand quantitative
relationships, and
   analyze change in various contexts.

M.O.8.2.3    add and subtract polynomials limited to two        I can add polynomials with two variables and positive exponents.
variables and positive exponents.                  I can subtract polynomials with two variables and positive exponents.

Quia Game: Add and Subtract Polynomials
Cool Math Polynomials game

M.O.8.2.4    use systems of linear equations to analyze         I can analyze data given linear systems of equations.
situations and solve problems.                     I can solve problems given linear systems of equations.

Purple Math: Systems of Linear Equations
Definitions
Purple Math: Systems of Linear equations:
Solving by Substitution
Linear Equations: Application to Games
Systems of Linear Equations
System of Equations Game
Grade 8      Mathematics                                           I Can Statements

Standard 2   Algebra

M.S.8.2      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of patterns,
relations and functions,
   represent and analyze mathematical
situations and structures using algebraic
symbols,
   use mathematical models to represent
and understand quantitative
relationships, and
   analyze change in various contexts.

M.O.8.2.5    apply inductive and deductive reasoning to write      I can analyze a table of values and the rule to determine if a quadratic
a rule from data in an input/output table, analyze    relationship exists.
the table and the rule to determine if a functional   I can analyze a table of values and the rule to determine if a linear
relationship exists.                                  relationship exists.
I can analyze a table of values and the rule to determine if an exponential
Algebraic Patterns and Representation                 relationship exists.
Making Connections                                    I can differentiate between linear, exponential, and quadratic using
Function Machine                                      equations, tables, and graphs.

M.O.8.2.6    graph linear equations and inequalities within the    I can create a table of values and graph linear equations without technology
Cartesian coordinate plane by generating a table      I can create a table of values and graph linear equations with technology.
of values (with and without technology).
I can create a table of values and graph inequalities without technology.
I can create a table of values and graph inequalities with technology.
Graphing Equations and Inequalities
Linear Equations and Inequalities in Two
Variables
Grade 8      Mathematics                                         I Can Statements

Standard 2   Algebra

M.S.8.2      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
    demonstrate understanding of patterns,
relations and functions,
    represent and analyze mathematical
situations and structures using algebraic
symbols,
    use mathematical models to represent
and understand quantitative
relationships, and
    analyze change in various contexts.

M.O.8.2.7    formulate and apply a rule to generate an           I can formulate a numerical pattern given a rule.
arithmetic, geometric and algebraic pattern.        I can apply a rule to generate numerical pattern.
I can formulate a geometric pattern given a rule.
Algebraic Patterns and Representation               I can apply a rule to generate geometric pattern.
Patterns in Color                                   I can formulate an algebraic pattern given a rule.
Double or Not?                                      I can apply a rule to generate algebraic pattern.
Play with Lulu

M.O.8.2.8    determine the slope of a line using a variety of    I can determine the slope of a line given a table.
methods including                                   I can determine the slope of a line given an equation.
    graphing                                    I can determine the slope of a line given a graph.
    change in y over change in x
    equation

Slope
Lines and Slopes
Grade 8      Mathematics                                          I Can Statements

Standard 2   Algebra

M.S.8.2      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of patterns,
relations and functions,
   represent and analyze mathematical
situations and structures using algebraic
symbols,
   use mathematical models to represent
and understand quantitative
relationships, and
   analyze change in various contexts.

M.O.8.2.9    represent and solve real-world grade-appropriate     I can use multiple strategies to represent real world problems and justify my
problems using multiple strategies and justify        solution.
solutions.                                           I can use multiple strategies to solve real world problems and justify my
solution.
Illuminations Lesson Plan The Mangoes Problem
Illuminations Lesson plan Everything Balances
Out in the End
Illuminations Nim Games (Interactive)
Illuminations Square Graphs (Interactive)
Illuminations Tower of Hanoi (Interactive)

M.O.8.2.10   identify a real life problem involving change over   I can identify a real life problem involving change over time.
time; make a hypothesis as to the outcome;           I can develop data displays to represent real world data.
develop, justify, and implement a method to
collect, organize, and analyze data; generalize      I can use data displays to make a hypothesis.
the results to make a conclusion; compare the        I can collect data and generalize the results to make a conclusion.
hypothesis and the results of the investigation;     I can organize data and generalize the results to make a conclusion.
present the project using words, graphs,
drawings, models, or tables.                         I can analyze data and generalize the results to make a conclusion.
I can generalize the results to make a conclusion.
Algebraic Patterns and Representation                I can present the data using words, graphs, drawings, models, or tables.
The Hot Tub
Play Ball
Grade 8      Mathematics                                           I Can Statements

Standard 3   Geometry

M.S.8.3      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   analyze characteristics and properties of
two- and three- dimensional geometric
shapes and develop mathematical
   specify locations and describe spatial
relationships using coordinate geometry
and other representational systems,
   apply transformation and use symmetry
to analyze mathematical situations, and
   solve problems using visualization,
spatial reasoning, and geometric
modeling.

M.O.8.3.1    justify the relationships among corresponding,        I can identify all of the angle relationships, if two parallel lines are cut by a
alternate interior, alternate exterior and vertical   transversal.
angles when parallel lines are cut by a               I can determine the missing measures of all angles, given an angle
transversal using models, pencil/paper, graphing      measurement.
calculator, and technology.
I can justify the relationships among corresponding, alternate interior,
alternate exterior, and vertical angles when parallel lines are cut by a
Interactive Corresponding Alternate Exterior and      transversal using models.
Alternate Interior Angles                             I can justify the relationships among corresponding, alternate interior,
alternate exterior, and vertical angles when parallel lines are cut by a
transversal using pencil/paper.
I can justify the relationships among corresponding, alternate interior,
alternate exterior, and vertical angles when parallel lines are cut by a
transversal using a graphing calculator.
I can justify the relationships among corresponding, alternate interior,
alternate exterior, and vertical angles when parallel lines are cut by a
transversal using technology.
Grade 8      Mathematics                                        I Can Statements

Standard 3   Geometry

M.S.8.3      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   analyze characteristics and properties of
two- and three- dimensional geometric
shapes and develop mathematical
   specify locations and describe spatial
relationships using coordinate geometry
and other representational systems,
   apply transformation and use symmetry
to analyze mathematical situations, and
   solve problems using visualization,
spatial reasoning, and geometric
modeling.

M.O.8.3.2    classify polyhedrons according to the number       I can classify a polyhedron according to the number and shape of its faces.
and shape of faces; use inductive reasoning to     I can use inductive reasoning to determine the relationship between
determine the relationship between vertices,       vertices, faces, and edges of a polyhedron.
faces and edges (edges + 2 = faces + vertices).

Studying Polyhedra
Geometric Solids

M.O.8.3.3    identify, apply, and construct perpendicular and   I can identify perpendicular bisectors, given a real world situation.
angle bisectors with and without technology )      I can identify angle bisectors, given a real world situation.
given a real-world situation.
I can apply perpendicular bisectors, given a real world situation.
I can apply angle bisectors, given a real world situation.
Bisect Angles (Java Applet)
I can construct perpendicular bisectors, given a real world situation.
I can construct angle bisectors, given a real world situation.
Grade 8      Mathematics                                        I Can Statements

Standard 3   Geometry

M.S.8.3      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   analyze characteristics and properties of
two- and three- dimensional geometric
shapes and develop mathematical
   specify locations and describe spatial
relationships using coordinate geometry
and other representational systems,
   apply transformation and use symmetry
to analyze mathematical situations, and
   solve problems using visualization,
spatial reasoning, and geometric
modeling.

M.O.8.3.4    create geometric patterns including tiling, art    I can create geometric patterns using transformations (rotations,
design, tessellations and scaling using            reflections, and translations).
transformations (rotations, reflections,
translations) and predict results of combining,    I can design a tessellation.
subdividing, and changing shapes of plane          I can predict the results of combining, subdividing, and changing shapes of
figures and solids.                                plane figures and solids.

14C Geometric Spatial Sense (scroll down to
section 8)
Shape Tool
Tessellations
Teaching Tessellations
Scale Factor
Grade 8      Mathematics                                            I Can Statements

Standard 3   Geometry

M.S.8.3      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   analyze characteristics and properties of
two- and three- dimensional geometric
shapes and develop mathematical
   specify locations and describe spatial
relationships using coordinate geometry
and other representational systems,
   apply transformation and use symmetry
to analyze mathematical situations, and
   solve problems using visualization,
spatial reasoning, and geometric
modeling.

M.O.8.3.5    create scale models of similar figures using ratio,    I can create scale models of similar figures using ratio/proportion with
proportion with pencil/paper and technology            pencil/paper.
and determine scale factor.                            I can create scale models of similar figures using ratio/proportion with
technology.
Geometry                                               I can determine scale factor.
The Golden Ratio
Which Tastes Juicier?
Leonardo da Vinci
Scale Factor
Bean Counting and Ratios

M.O.8.3.6    make and test a conjecture concerning                  I can make and test a conjecture about regular polygons.
   regular polygons,                               I can make and test a conjecture about the cross section of a solid, such as a
cylinder, cone, and pyramid.
   the cross section of a solid such as a
cylinder, cone, and pyramid,                    I can make and test a conjecture about the intersection of two or more
geometric figures in the plane (e.g., intersection of a circle and a line) and
   the intersection of two or more geometric
justify my solution.
figures in the plane (e.g., intersection of a
circle and a line), and justify the results.

Polygon Sum Conjecture
Conjectures in Geometry
Grade 8      Mathematics                                         I Can Statements

Standard 4   Measurement

M.S.8.4      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
    demonstrate understanding of
measurable attributes of objects and the
units, systems, and processes of
measurements, and
    apply appropriate techniques, tools, and
formulas to determine measurements.

M.O.8.4.1    select and apply an appropriate method to solve;    I can select an appropriate method to solve a real world problem using
justify the method and the reasonableness of the    volume of a prism and justify my answer to make sure it is reasonable.
solution of problems involving volume of            I can apply an appropriate method to solve a real world problem using
    prisms                                     volume of a prism and justify my answer to make sure it is reasonable.
    cylinders                                  I can select an appropriate method to solve a real world problem using
volume of a cylinder and justify my answer to make sure it is reasonable.
    cones
I can apply an appropriate method to solve a real world problem using
    pyramids
volume of a cylinder and justify my answer to make sure it is reasonable.
    spheres                                     I can select an appropriate method to solve a real world problem using
given real-world problem solving situations.         volume of a cone and justify my answer to make sure it is reasonable.
I can apply an appropriate method to solve a real world problem using
Three Dimensional Measurement in the 21st            volume of a cone and justify my answer to make sure it is reasonable.
Century                                             I can select an appropriate method to solve a real world problem using
Surface Area and Volume                             volume of a pyramid and justify my answer to make sure it is reasonable
Fill It Up!                                         I can apply an appropriate method to solve a real world problem using
volume of a pyramid and justify my answer to make sure it is reasonable.
Building A Pyramid
I can select an appropriate method to solve a real world problem using
volume of a sphere and justify my answer to make sure it is reasonable.
I can apply an appropriate method to solve a real world problem using
volume of a sphere and justify my answer to make sure it is reasonable.
Grade 8      Mathematics                                         I Can Statements

Standard 4   Measurement

M.S.8.4      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will
   demonstrate understanding of
measurable attributes of objects and the
units, systems, and processes of
measurements, and
   apply appropriate techniques, tools, and
formulas to determine measurements.

M.O.8.4.2    solve problems involving missing measurements       I can solve problems involving the missing measurement plane geometric
in plane and solid geometric figures using          figures using formulas.
formulas and drawings including irregular           I can solve problems involving the missing measurement of solid geometric
figures, models or definitions.                     figures using formulas.
I can solve problems involving the missing measurement plane geometric
Geometry                                            figures using drawings.
Three Dimensional Measurement in the 21st           I can solve problems involving the missing measurement of solid geometric
Century                                             figures using drawings.

M.O.8.4.3    solve right triangle problems where the existence   I can use the Pythagorean Theorem to solve everyday problems.
of triangles is not obvious using the Pythagorean   I can use indirect measurement to solve everyday problems.
Theorem and indirect measurement in real-world
problem solving situations.

Three Dimensional Measurement in the 21st
Century
Pythagorean Puzzle
Grade 8      Mathematics                                        I Can Statements

Standard 5   Data Analysis and Probability

M.S.8.5      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   formulate questions that can be
organize, and display relevant data to
   select and use appropriate statistical
methods to analyze data,
   develop and evaluate inferences and
predictions that are based on models,
and
   apply and demonstrate an understanding
of basic concepts of probability.

M.O.8.5.1    determine and explain whether a real-world        I can determine if a permutation or combination would be used to solve a
situation involves permutations or combinations, problem and explain why.
then use appropriate technology to solve the     I can use technology to solve problems involving permutations.
problem.
I can use technology to solve problems involving combinations.

Combinations and Permutations
Permutations and Combinations
Combinations or Permutations (Java Applet)

M.O.8.5.2    compare the experimental and theoretical           I can compare the experimental and theoretical probability in dependent
probability of a given situation (including        events.
compound probability of a dependent and            I can compare the experimental and theoretical probability in independent
independent event).                                events.

Experimental Probability VS Theoretical
Probability PPT
Grade 8      Mathematics                                         I Can Statements

Standard 5   Data Analysis and Probability

M.S.8.5      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   formulate questions that can be
organize, and display relevant data to
   select and use appropriate statistical
methods to analyze data,
   develop and evaluate inferences and
predictions that are based on models,
and
   apply and demonstrate an understanding
of basic concepts of probability.

M.O.8.5.3    create and extrapolate information from multiple-   I can create multiple data displays, for example multiple bar graphs and box
bar graphs, box and whisker plots, and other        and whisker plots using technology.
data displays using appropriate technology.         I can extrapolate information from multiple data displays, for example
multiple bar graphs and box and whisker plots using technology.
Purple Math
Collecting and Analyzing Data
Mean and Median
Using NBA Statistics for Box and Whiskers Plots
News
Grade 8      Mathematics                                       I Can Statements

Standard 5   Data Analysis and Probability

M.S.8.5      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   formulate questions that can be
organize, and display relevant data to
   select and use appropriate statistical
methods to analyze data,
   develop and evaluate inferences and
predictions that are based on models,
and
   apply and demonstrate an understanding
of basic concepts of probability.

M.O.8.5.4    analyze problem situations, games of chance,      I can analyze problem situations using random samplings to determine the
and consumer applications using random and        probability.
non-random samplings to determine probability,    I can analyze problem situations using non-random samplings to determine
make predictions, and identify sources of bias.   the probability.
I can analyze games of chance using random samplings to determine the
Collecting and Analyzing Data                     probability.
Random Drawing Tool                               I can analyze games of chance using non-random samplings to determine
Marble Mania                                      I can analyze consumer applications using random samplings to determine
the probability.
Marble Mania Facilitator Page
I can analyze consumer applications non-random samplings to determine
Marble Mania Student Activity Sheet               the probability.
Sticks and Stones                                 I can make predictions given the probability of an event.
Fire!                                             I can identify bias sources.
Grade 8      Mathematics                                       I Can Statements

Standard 5   Data Analysis and Probability

M.S.8.5      Through communication, representation,
reasoning and proof, problem solving, and
making connections within and beyond the field
of mathematics, students will:
   formulate questions that can be
organize, and display relevant data to
   select and use appropriate statistical
methods to analyze data,
   develop and evaluate inferences and
predictions that are based on models,
and
   apply and demonstrate an understanding
of basic concepts of probability.

M.O.8.5.5    draw inferences, make conjectures and construct   I can draw inferences from measures of central tendencies.
convincing arguments involving                    I can compare and contrast data given mean, median, mode and range.
   different effects that changes in data     I can make conjectures involving measures of central tendencies.
values have on measures of central
tendency
   misuses of statistical or numeric
information, based on data analysis of
same and different sets of data.

Algebraic Patterns and Representation
Collecting and Analyzing Data
Geometry

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