8.NSO-N: Number Sense

8.NSO-N.1: Explain the properties of and compute with real numbers expressed in a variety of forms.

 Percents, Fractions, and Decimals

8.NSO-N.3: Know that the absolute value is the distance of the number from 0; determine the absolute value and additive inverse of real numbers; determine the absolute value of rational numbers.

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions
 Adding and Subtracting Integers
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values
 Simplifying Algebraic Expressions I

8.NSO-N.4: Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10), and use them in calculations and problem situations.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

8.NSO-N.5: Define, compare, order, and apply frequently used irrational numbers, such as square root of 2 and pi (e.g., show that if pi is known to be irrational, then 3pi and pi/3 also are irrational).

 Circumference and Area of Circles
 Operations with Radical Expressions
 Square Roots

8.NSO-N.6: Use the laws of exponents for integer exponents (e.g., write 2² x 2³ as 2 x 2 x ... and then as a single power of 2; write 2 to the -3 power as a fraction).

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

8.NSO-N.7: Demonstrate an understanding of the properties of arithmetic operations on rational numbers.

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

8.NSO-C: Computation and Operations

8.NSO-C.11: Solve problems that involve markups, commissions, profits, and simple and compound interest.

 Compound Interest
 Percent of Change

8.NSO-C.13: Use the inverse relationship between squaring and finding the square root of a perfect square integer to solve problems.

 Square Roots

8.NSO-C.14: Multiply and divide numbers written in scientific notation.

 Unit Conversions

8.NSO-C.15: Select and use appropriate operations — addition, subtraction, multiplication, division, and positive integer exponents — to solve problems with rational numbers, including negative rationals.

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

8.NSO-E: Estimation

8.NSO-E.16: Estimate and solve problems with square roots; find square roots of perfect squares and approximate the square roots of nonperfect squares by locating them between consecutive integers.

 Operations with Radical Expressions
 Simplifying Radical Expressions
 Square Roots

8.PRA: Patterns, Relations, and Algebra

8.PRA.1: 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.PRA.2: Set up and solve linear equations and inequalities with one or two variables using algebraic methods and graphs.

 Compound Inequalities
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Solving Two-Step Equations
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

8.PRA.3: Use linear equations to model and analyze problems involving proportional relationships.

 Direct and Inverse Variation

8.PRA.4: 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)
 Direct and Inverse Variation
 Function Machines 2 (Functions, Tables, and Graphs)
 Introduction to Functions
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line
 Standard Form of a Line

8.PRA.6: Distinguish between numerical and algebraic expressions, equations, and inequalities.

 Compound Interest
 Linear Functions
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line
 Solving Linear Inequalities in One Variable
 Using Algebraic Equations
 Using Algebraic Expressions

8.PRA.9: Graph a linear equation using ordered pairs; identify and represent the graphs of linear functions.

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Exponential Functions
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

8.G: Geometry

8.G.2: Demonstrate an understanding of the relationships of angles formed by intersecting lines, including parallel lines cut by a transversal.

 Triangle Angle Sum

8.G.3: Demonstrate an understanding of conditions that indicate two triangles are similar: the corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal (SSS similarity).

 Congruence in Right Triangles
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures

8.G.5: Apply spatial reasoning by recognizing and drawing two-dimensional representations of three-dimensional objects (e.g., nets, projections, and perspective drawings of cylinders, prisms, and cones).

 Surface and Lateral Areas of Prisms and Cylinders

8.G.6: Find the distance between two points on the coordinate plane using the distance formula; find the midpoint of the line segment; recognize that the distance formula is an application of the Pythagorean theorem.

 Circles
 Distance Formula

8.M: Measurement

8.M.2: Understand the concept of surface area and volume; given the formulas, determine the surface area and volume of rectangular prisms, cylinders, and spheres.

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

8.M.4: Solve problems about similar figures and scale drawings. Understand that when the lengths of all dimensions of an object are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.

 Perimeters and Areas of Similar Figures
 Similar Figures

8.M.5: Understand and use the fact that when two polygons or circles are similar with scale factor of r, their areas are related by a factor of r2.

 Perimeters and Areas of Similar Figures

8.M.6: Use proportions to express relationships between corresponding parts of similar figures.

 Beam to Moon (Ratios and Proportions)

8.DASP: Data Analysis, Statistics, and Probability

8.DASP.1: Revisit measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data and then observe the change in each when an “outlier” is adjoined to the data set or removed from it. Use these notions to compare different sets of data and explain how each can be useful in a different way to summarize social phenomena such as price levels, clothing sizes, and athletic performances.

 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)

8.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., scatterplots, box-and-whisker plots).

 Box-and-Whisker Plots
 Correlation
 Distance-Time Graphs
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

8.DASP.7: Understand the difference between independent and dependent events, and recognize common misconceptions involving probability.

 Independent and Dependent Events

Correlation last revised: 1/20/2017

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