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# Oregon Standards Ninth Grade Mathematics resources

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Advanced Algebra

A.A.1. Relations and Functions: Analyze functions and relations (e.g. polynomial, absolute value, rational, radical, logarithmic, exponential, algebraic, piece-wise, and step functions).

A.A.1.1. Demonstrate an understanding of the concept of a function, use function notation, evaluate a function, determine whether or not a given relation is a function and determine whether or not a given function is one-to-one.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

A.A.1.10. Collect and analyze data to make predictions and to investigate scatterplots and to determine the equation for a curve of best fit including linear, power, exponential, and logarithmic functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

A.A.1.11. Connect the relationships among the solution of an equation, zero of a function, x-intercept of a graph and the factors of a polynomial expression.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A.A.1.12. Find the x and y-intercepts of a function if they exist.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

A.A.1.13. Identify, distinguish between, and describe the characteristics of the following functions in tabular, verbal, graphical or symbolic form: polynomial, power, absolute value, rational, radical, logarithmic, exponential, algebraic, piecewise, and step.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

A.A.4. Polynomial Functions: Model and analyze polynomial functions. Solve polynomial equations.

A.A.4.1. Perform operations on polynomial expressions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

A.A.4.2. Analyze and calculate permutations, combinations, and other systematic counting methods.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A.A.5. Radical Functions: Model and analyze radical functions. Solve radical equations.

A.A.5.1. Find equivalent expressions using the properties of rational exponents.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

A.A.7. Logarithmic and Exponential Functions: Model and analyze logarithmic and exponential functions. Solve logarithmic and exponential equations.

A.A.7.4. Graph and analyze exponential and logarithmic functions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

A.A.8. Matrices, Systems of Equations and Inequalities: Analyze and apply various methods to graph and solve systems of equations and inequalities.

A.A.8.2. Solve systems of linear equations in two or three variables algebraically, graphically, and/or with matrix algebra.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

A.A.8.3. Analyze an inconsistent system of equations.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

A.A.9. Sequences and Series: Analyze and evaluate sequences and series.

A.A.9.1. Define, recognize, and discriminate among arithmetic, geometric and other sequences and series.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

A.A.9.5. Generate and describe other recursive sequences such as factorials and the Fibonacci sequence.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Advanced Discrete Mathematics

A.D.1. Set Theory: Operate with sets and use set theory to solve problems.

A.D.1.3. Use Venn diagrams to explore relationships and patterns, and to make arguments about relationships between sets.

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

A.D.5. Combinatorics and Discrete Probability: Understand and apply fundamental counting techniques in solving combinatorial and probability problems.

A.D.5.1. Produce all combinations and permutations of sets.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A.D.5.2. Calculate the number of combinations and permutations of sets of m items taken n at a time.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A.D.5.3. Apply basic fundamental counting principles such as The Pigeonhole Principle, Multiplication Principle, Addition Principle, and Binomial Theorem to practical problems.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A.D.5.4. Solve probability problems such as conditional probability, probability of simple events, mutually exclusive events, and independent events

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

A.D.6. Sequences and Series: Analyze and evaluate sequences and series.

A.D.6.1. Define, recognize, and discriminate among arithmetic, geometric and other sequences and series.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

A.D.6.5. Generate and describe other recursive sequences such as factorials and the Fibonacci sequence.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

A.D.7. Recurrence, Recursion and Induction: Understand and apply recurrence, recursive, and inductive methods to solve problems.

A.D.7.3. Use mathematical induction to prove recurrence relations and concepts in number theory such as sums of infinite integer series, divisibility statements, and parity statements.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

A.D.7.4. Use mathematical induction to analyze the validity of an iterative algorithm.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

A.D.7.5. Describe arithmetic and geometric sequences recursively.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

A.D.8. Logic: Understand the fundamentals of propositional logic, arguments, and methods of proof.

A.D.8.7. Appropriately select and use methods of deductive, inductive, and indirect proof and determine whether a short proof is logically valid.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

Advanced Statistics

A.S.1. Exploratory Data: Analyze summary measures of sets of data.

A.S.1.1. Construct, interpret, and summarize numerical characteristics of univariate data sets to describe patterns and departure from patterns, using measures of center, spread, and position.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

A.S.1.3. Explore bivariate data by analyzing patterns, correlation, linearity, least-squares regression line, residual plots, outliers, influential points, and transformations to achieve linearity.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

A.S.1.4. Explore categorical data using frequency tables and bar charts; investigating marginal, joint and conditional relative frequencies; and by comparing distributions.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

A.S.2. Sampling and Experimentation: Plan, conduct, and analyze well-designed methods of data collection.

A.S.2.1. Describe the methods of data collection. Evaluate how appropriate each method is relative to the purposes of various types of inquires and hypotheses under investigation given various population distributions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

A.S.2.2. Plan, analyze, and conduct a survey, and/or observational study; describe characteristics of a well-designed and well-conducted survey; explore various sampling methods including investigating sources of bias.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

A.S.2.3. Plan, analyze, and conduct an experiment; describe characteristics and components of a well-designed and well-conducted experiment; explore various methods of experimental designs; and associated sources of bias and confounding.

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

A.S.2.4. Explore the generalizability of results and types of conclusions that can be drawn from observational studies, experiments, and surveys. Understand when each method is most appropriate, and explain the differences between the three methods.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

A.S.3. Anticipating Patterns: Understand how probability can be applied as a tool used for anticipating what the distribution of data should look like under a given model.

A.S.3.1. Analyze probability by exploring such topics as ''Law of Large Numbers,'' addition and multiplication rule, conditional probability and independence, discrete random variables and their probability distributions, simulations of random behavior and mean, standard deviation, and learn how to select appropriate linear transformations of a random variable.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

A.S.3.2. Explore the independence versus dependence of two random variables. Determine the mean and standard deviation for sum or difference of independent random variables.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

A.S.4. Statistical Inference: Estimate population parameters and test hypotheses.

A.S.4.5. Understand how to read the results of a regression, and use this to make predictions of future events with a stated confidence.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Algebra

H.1A. Algebra and Numeracy: Demonstrate a deep understanding of real numbers and algebraic symbols by fluently creating, manipulating, computing with, and determining equivalent expressions, both numeric and symbolic.

H.1A.3. Express square roots in equivalent radical form and their decimal approximations when appropriate.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

H.1A.4. Develop, identify, and/or justify equivalent algebraic expressions, equations, and inequalities using the properties of exponents, equality and inequality, as well as the commutative, associative, inverse, identity, and distributive properties.

Flip Charts Algebra Skills

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

H.2A. Algebra: Use linear equations and functions to represent relationships and solve linear equations, linear inequalities, systems of linear equations, and systems of linear inequalities.

H.2A.1. Identify, construct, extend, and analyze linear patterns and functional relationships that are expressed contextually, numerically, algebraically, graphically, in tables, or using geometric figures.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

H.2A.2. Given a rule, a context, two points, a table of values, a graph, or a linear equation in either slope intercept or standard form, identify the slope of the line, determine the x and/or y intercept(s), and interpret the meaning of each.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

H.2A.7. Write, use, and solve linear equations and inequalities using graphical and symbolic methods with one or two variables. Represent solutions on a coordinate graph or number line.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

H.2A.8. Solve systems of two linear equations graphically and algebraically, and solve systems of two linear inequalities graphically.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

H.3A. Algebra: Use quadratic and exponential equations and functions to represent relationships.

H.3A.4. Given a quadratic or exponential function, interpret and analyze the relationship between the independent and dependent variables, and evaluate the function for specific values of the domain.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Geometry

H.1G. Geometry: Apply properties of two-dimensional figures.

H.1G.1. Identify, apply, and analyze angle relationships among two or more lines and a transversal to determine if lines are parallel, perpendicular, or neither.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

H.1G.2. Apply theorems, properties, and definitions to determine, identify, and justify congruency or similarity of triangles and to classify quadrilaterals.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

H.1G.3. Apply theorems of corresponding parts of congruent and similar figures to determine missing sides and angles of polygons.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

H.1G.5. Determine the missing dimensions, angles, or area of regular polygons, quadrilaterals, triangles, circles, composite shapes, and shaded regions.

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

H.2G. Geometry: Apply properties of three-dimensional solids.

H.2G.1. Identify, classify, model, sketch, and label representations of three-dimensional objects from nets and from different perspectives.

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

H.2G.2. Identify and apply formulas for surface area and volume of spheres; right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems.

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

H.3G. Geometry: Transform and analyze figures.

H.3G.1. Recognize and identify line and rotational symmetry of two-dimensional figures.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

H.3G.2. Identify and perform single and composite transformations of geometric figures in a plane, including translations, origin-centered dilations, reflections across either axis or y = +/- x, and rotations about the origin in multiples of 90 degrees.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

H.3G.3. Apply a scale factor to determine similar two- and three-dimensional figures, are similar. Compare and compute their respective areas and volumes of similar figures.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

H.3G.4. Apply slope, distance, and midpoint formulas to solve problems in a coordinate plane.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Statistics

H.1S. Data Analysis: Analyze and interpret empirical data.

H.1S.1. Given a context, determine appropriate survey methods, analyze the strengths and limitations of a particular survey, observational study, experiment, or simulation, and the display of its data.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

H.1S.4. Use or construct a scatter plot for a given data set, determine whether there is a (n) linear, quadratic, exponential, or no trend. If linear, determine if there is a positive or negative correlation among the data; and, if appropriate, sketch a line of best fit, and use it to make predictions.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

H.1S.5. Construct, analyze, and interpret tables, scatter plots, frequency distributions, and histograms of data sets.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

H.2S. Probability: Apply basic principles of probability.

H.2S.1. Identify, analyze, and use experimental and theoretical probability to estimate and calculate the probability of simple events.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

H.2S.2. Determine the sample space of a probability experiment.

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

H.2S.3. Compute and interpret probabilities for independent, dependent, complementary, and compound events using various methods (e.g., diagrams, tables, area models, and counting techniques).

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting