8.N: Number Sense and Operations

8.N.1: Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents.

 Comparing and Ordering Decimals
 Estimating Sums and Differences
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Integers, Opposites, and Absolute Values
 Multiplying with Decimals
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Rational Numbers, Opposites, and Absolute Values
 Sums and Differences with Decimals

8.N.2: Define, compare, order, and apply frequently used irrational numbers, such as Square root of 2 and pi.

 Circumference and Area of Circles
 Operations with Radical Expressions
 Simplifying Radical Expressions
 Square Roots

8.N.3: Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change.

 Household Energy Usage

8.N.4: Represent numbers in scientific notation, and use them in calculations and problem situations.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

8.N.6: Demonstrate an understanding of absolute value, e.g., |-3| = |3| = 3.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

8.N.7: Apply the rules of powers and roots to the solution of problems. Extend the Order of Operations to include positive integer exponents and square roots.

 Order of Operations

8.N.8: Demonstrate an understanding of the properties of arithmetic operations on rational numbers. Use the associative, commutative, and distributive properties; properties of the identity and inverse elements (e.g., -7 + 7 = 0; 3/4 x 4/3 = 1); and the notion o

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

8.N.9: Use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems, e.g. multiplying by 1/2 or 0.5 is the same as dividing by 2.

 Solving Two-Step Equations
 Square Roots

8.N.10: Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1).

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Sums and Differences with Decimals
 Toy Factory (Set Models of Fractions)

8.P: Patterns, Relations, and Algebra

8.P.1: Extend, represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic expressions. Include arithmetic and geometric progressions, e.g., compounding.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Function Machines 1 (Functions and Tables)
 Geometric Sequences

8.P.5: Identify the slope of a line as a measure of its steepness and as a constant rate of change from its table of values, equation, or graph. Apply the concept of slope to the solution of problems.

 Cat and Mouse (Modeling with Linear Systems)
 Compound Interest
 Direct and Inverse Variation
 Elevator Operator (Line Graphs)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

8.P.6: Identify the roles of variables within an equation, e.g., y = mx + b, expressing y as a function of x with parameters m and b.

 Solving Equations on the Number Line
 Using Algebraic Equations

8.P.7: Set up and solve linear equations and inequalities with one or two variables, using algebraic methods, models, and/or graphs.

 Absolute Value with Linear Functions
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Linear Inequalities in One Variable
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

8.P.8: Explain and analyze-both quantitatively and qualitatively, using pictures, graphs, charts, or equations-how a change in one variable results in a change in another variable in functional relationships, e.g., C = pi d, A = pi r² (A as a function of r), A rectangle = lw (A rectangle as a function of l and w).

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Points, Lines, and Equations
 Translating and Scaling Functions

8.P.9: Use linear equations to model and analyze problems involving proportional relationships. Use technology as appropriate.

 Direct and Inverse Variation

8.P.10: Use tables and graphs to represent and compare linear growth patterns. In particular, compare rates of change and x- and y-intercepts of different linear patterns.

 Function Machines 1 (Functions and Tables)

8.G: Geometry

8.G.1: Analyze, apply, and explain the relationship between the number of sides and the sums of the interior and exterior angle measures of polygons.

 Polygon Angle Sum
 Triangle Angle Sum

8.G.3: Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal.

 Concurrent Lines, Medians, and Altitudes

8.G.4: Demonstrate an understanding of the Pythagorean theorem. Apply the theorem to the solution of problems.

 Circles
 Distance Formula
 Investigating Angle Theorems
 Isosceles and Equilateral Triangles
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Surface and Lateral Areas of Pyramids and Cones

8.G.6: Predict the results of transformations on unmarked or coordinate planes and draw the transformed figure, e.g., predict how tessellations transform under translations, reflections, and rotations.

 Circles
 Dilations
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Translations

8.G.8: Recognize and draw two-dimensional representations of three-dimensional objects, e.g., nets, projections, and perspective drawings.

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

8.M: Measurement

8.M.1: Select, convert (within the same system of measurement), and use appropriate units of measurement or scale.

 Unit Conversions

8.M.2: Given the formulas, convert from one system of measurement to another. Use technology as appropriate.

 Unit Conversions

8.M.3: Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms, cylinders, and spheres. Use technology as appropriate.

 Area of Parallelograms
 Area of Triangles
 Circumference and Area of Circles
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders

8.M.4: Use ratio and proportion (including scale factors) in the solution of problems, including problems involving similar plane figures and indirect measurement.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Perimeters and Areas of Similar Figures
 Proportions and Common Multipliers
 Similar Figures

8.M.5: Use models, graphs, and formulas to solve simple problems involving rates, e.g., velocity and density.

 Household Energy Usage

8.D: Data Analysis, Statistics, and Probability

8.D.1: Describe the characteristics and limitations of a data sample. Identify different ways of selecting a sample, e.g., convenience sampling, responses to a survey, random sampling.

 Polling: City
 Polling: Neighborhood
 Populations and Samples
 Reaction Time 2 (Graphs and Statistics)

8.D.2: Select, create, interpret, and utilize various tabular and graphical representations of data, e.g., circle graphs, Venn diagrams, scatterplots, stem-and-leaf plots, box-and-whisker plots, histograms, tables, and charts. Differentiate between continuous and discrete data and ways to represent them.

 Box-and-Whisker Plots
 Compound Inequalities
 Correlation
 Graphing Skills
 Histograms
 Least-Squares Best Fit Lines
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

8.D.3: Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data. Use these notions to compare different sets of data.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

8.D.4: Use tree diagrams, tables, organized lists, basic combinatorics ("fundamental counting principle"), and area models to compute probabilities for simple compound events, e.g., multiple coin tosses or rolls of dice.

 Permutations and Combinations

Correlation last revised: 5/14/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.