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# New Mexico Standards Eighth Grade Mathematics resources

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Algebra: Students will understand algebraic concepts and applications.

5-8.A.1. Understand patterns, relations, and functions.

8.A.1.2. Use variables to generalize patterns and information presented in tables, charts, and graphs:

8.A.1.2.a. Graph linear functions noting that the vertical change per unit of horizontal change (the slope of the graph) is always the same

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

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

8.A.1.2.b. Plot the values of quantities whose ratios are always the same, fit a line to the plot, and understand that the slope of the line equals the quantities

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

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

5-8.A.2. Represent and analyze mathematical situations and structures using algebraic symbols.

8.A.2.1. Demonstrate the difference between an equation and an expression.

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

8.A.2.2. Solve two-step linear equations and inequalities in one variable with rational solutions.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

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

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 Introduction to Algebra

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

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

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

8.A.2.4. Demonstrate understanding of the relationships between ratios, proportions, and percents and solve for a missing term in a proportion.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

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

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

8.A.2.5. Graph solution sets of linear equations in two variables on the coordinate plane.

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

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

8.A.2.6. Formulate and solve problems involving simple linear relationships, find percents of a given number, variable situations, and unknown quantities.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

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

8.A.2.7. Use symbols, variables, expressions, inequalities, equations, and simple systems of equations to represent problem situations that involve variables or unknown quantities.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

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

5-8.A.4. Analyze changes in various contexts.

8.A.4.1. Use graphs, tables, and algebraic representations to make predictions and solve problems that involve change.

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

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

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

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

8.A.4.2. Estimate, find, and justify solutions to problems that involve change using tables, graphs, and algebraic expressions.

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

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

8.A.4.3. Use appropriate problem-solving strategies (e.g., drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table or graph, working a simpler problem, writing an algebraic expression or working backward) to solve problems that involve change.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

8.A.4.4. Solve multi-step problems that involve changes in rate, average speed, distance, and time.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

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

8.A.4.6. Generalize a pattern of change using algebra and show the relationship among the equation, graph, and table of values.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

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

Data Analysis and Probability: Students will understand how to formulate questions, analyze data, and determine probabilities.

5-8.D.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

8.D.1.1. Represent two numerical variables on a plot, describe how the data points are distributed, and identify relationships that exist between the two variables.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

8.D.1.2. Generate, organize, and interpret real numbers in a variety of situations.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

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

8.D.1.3. Organize, analyze, and display appropriate quantitative and qualitative data to address specific questions including:

8.D.1.3.b. Plots

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

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

8.D.1.3.c. Histograms

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

8.D.1.3.d. Bar, line, and pie graphs

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

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

8.D.1.3.e. Diagram and pictorial displays

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

5-8.D.2. Select and use appropriate statistical methods to analyze data.

8.D.2.2. Generate, organize, and interpret real number and other data in a variety of situations.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

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

8.D.2.3. Analyze data to make decisions and to develop convincing arguments from data displayed in a variety of formats including:

8.D.2.3.a. Plots

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

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

8.D.2.3.c. Graphs

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

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

8.D.2.3.d. Scatter plots

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

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

8.D.2.3.h. Venn diagrams

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

8.D.2.4. Interpret and analyze data from graphical representations and draw simple conclusions (e.g., line of best fit).

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

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

8.D.2.6. Use appropriate central tendency and spread as a means for effective decision-making in analyzing data and outliers.

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 Organizing Data

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

5-8.D.3. Develop and evaluate inferences and predictions that are based on data.

8.D.3.3. Conduct simple experiments and/or simulations, record results in charts, tables, or graphs, and use the results to draw conclusions and make predictions.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

8.D.3.4. Compare expected results with experimental results and information used in predictions and inferences.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

5-8.D.4. Understand and apply basic concepts of probability.

8.D.4.1. Calculate the odds of a desired outcome in a simple experiment.

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

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

8.D.4.3. Explain the relationship between probability and odds and calculate the odds of a desired outcome in a simple experiment.

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

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

8.D.4.6. Understand that the probability of two unrelated events occurring is the sum of the two individual possibilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

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

Geometry: Students will understand geometric concepts and applications.

5-8.G.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematics arguments about geometric relationships.

8.G.1.1. Recognize, classify, and discuss properties of all geometric figures including point, line, and plane.

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Perimeter & Area

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

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

8.G.1.3. Use the Pythagorean theorem and its converse to find the missing side of a right triangle and the lengths of the other line segments.

Flip Charts Math: Grade 7

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

5-8.G.3. Apply transformations and use symmetry to analyze mathematical situations.

8.G.3.2. Describe and perform single and multiple transformations that include rotation, reflection, translation, and dilation (i.e., shrink or magnify) to two-dimensional figures.

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

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

5-8.G.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.

8.G.4.1. Understand angle relationships formed by parallel lines cut by a transversal.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

8.G.4.2. Recognize and apply properties of corresponding parts of similar and congruent triangles and quadrilaterals.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

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

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

8.G.4.3. Represent and solve problems relating to size, shape, area, and volume using geometric models.

Flip Charts Algebra Skills

Flip Charts Math Grade 8

8.G.4.4. Develop and use formulas for area, perimeter, circumference, and volume.

Flip Charts Algebra Skills

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

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

Measurement: Students will understand measurement systems and applications.

5-8.M.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.

8.M.1.1. Understand the concept of volume and use the appropriate units in common measuring systems (e.g., cubic centimeter, cubic inch, cubic yard) to compute the volume of rectangular solids.

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

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

5-8.M.2. Apply appropriate techniques, tools, and formulas to determine measurements.

8.M.2.1. Use ratios and proportions to measure hard-to-measure objects.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

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

8.M.2.3. Use proportional relationships in similar shapes to find missing measurements.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

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

8.M.2.4. Apply strategies to determine the surface area and volume of prisms, pyramids, and cylinders.

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

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

8.M.2.7. Solve simple problems involving rates and derived measurements for such properties as velocity and density.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

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

Numbers and Operations: Students will understand numerical concepts and mathematical operations.

5-8.N.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

8.N.1.1. Sort numbers by their properties (e.g., prime, composite, square, square root).

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

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

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

8.N.1.2. Demonstrate the magnitude of rational numbers (e.g., trillions to millions).

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

5-8.N.2. Understand the meaning of operations and how they relate to one another.

8.N.2.1. Use real number properties (e.g., commutative, associative, distributive) to perform various computational procedures.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

8.N.2.2. Perform arithmetic operations and their inverses (e.g., addition/subtraction, multiplication/division, square roots of perfect squares, cube roots of perfect cubes) on real numbers.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

5-8.N.3. Compute fluently and make reasonable estimates.

8.N.3.1. Formulate algebraic expressions that include real numbers to describe and solve real-world problems.

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

8.N.3.3. Differentiate between rational and irrational numbers.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

8.N.3.4. Use real number properties to perform various computational procedures and explain how they were used.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

8.N.3.5. Perform and explain computations with rational numbers, pi, and first-degree algebraic expressions in one variable in a variety of situations.

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

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

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

8.N.3.7. Approximate, mentally and with calculators, the value of irrational numbers as they arise from problem situations.

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Perimeter & Area

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

8.N.3.8. Express numbers in scientific notation (including negative exponents) in appropriate problem situations using a calculator.

Flip Charts Exponents, Factors & Multiples

Flip Charts Integers & Exponents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

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