8.1: Students understand and use basic and advanced concepts of number and number systems

8.1.2: Solve real-world problems involving ration, proportion, and percent

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram

8.1.3: Identify perfect squares 1 to 144 and approximate square roots

 Square Roots

8.1.4: Represent large and small numbers using scientific notation

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

8.1.5: Apply operation properties to simplify computations and solve problems; i.e., commutative, associative, and distributive

 Adding and Subtracting Integers
 Chocomatic (Multiplication, Arrays, and Area)
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Algebraic Equations II
 Square Roots
 Using Algebraic Equations

8.1.6: Apply the order of operations to simplify numeric expressions and solve problems

 Order of Operations

8.1.7: Add, subtract, multiply, and divide integers

 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials

8.1.8: Select and use a computational technique (e.g., mental calculation, paper-and-pencil, technology) to solve problems

 Estimating Population Size

8.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

8.2.1: Use nets to represent the relationships between two- and three-dimensional figures

 Surface and Lateral Areas of Prisms and Cylinders

8.2.2: Classify quadrilaterals based on side lengths, angle measures, and sets of parallel sides

 Classifying Quadrilaterals
 Parallelogram Conditions
 Special Parallelograms

8.2.3: Identify the angles formed and the relationships between the angles when parallel lines are intersected by a transversal

 Triangle Angle Sum

8.2.4: Apply the Pythagorean Theorem to problems involving right triangles

 Distance Formula
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard

8.2.6: Draw the results of a combination of transformations in the coordinate plane; i.e., reflections, rotations, and translations

 Rock Art (Transformations)

8.2.7: Use scale, proportion, and congruency to solve problems involving similar figures

 Beam to Moon (Ratios and Proportions)
 Perimeters and Areas of Similar Figures

8.2.8: Use two-dimensional representations of threedimensional objects to visualize and solve problems; e.g., those involving surface area and volume

 Surface and Lateral Areas of Prisms and Cylinders

8.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

8.3.1: Formulate a question and select a random or representative sample

 Polling: Neighborhood

8.3.2: Collect, organize, and display data using scatter and stem-and-leaf plot

 Describing Data Using Statistics
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

8.3.3: Determine possible outcomes using organized lists, tree diagrams, Venn diagrams, factorials, and the basic counting principle

 Permutations and Combinations

8.3.4: Distinguish between experimental and theoretical probability; i.e., the results of an experiment may not match the theoretical probability

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

8.3.5: Calculate and compare the measures of central tendency (i.e., mean, median, mode) and spread (i.e., range)

 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)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

8.3.7: Make inferences based on analysis of data and interpretation of graphs

 Polling: City
 Real-Time Histogram

8.4: Students use concepts and tools of measurement to describe and quantify the world

8.4.2: Compare unit measurements between systems, e.g., a yard is almost a meter

 Unit Conversions

8.4.3: Use formulas to determine the surface area and volume of right cones and spheres

 Pyramids and Cones
 Surface and Lateral Areas of Pyramids and Cones

8.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

8.5.1: Extend numerical patterns; e.g., Pascal's triangle and the Fibonacci sequence

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

8.5.2: Use variables, expressions and equations to represent problem situations

 Compound Interest
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

8.5.3: Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Operations with Radical Expressions
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

8.5.4: Apply inverse operations and the properties of equality to solve multi-step equations and inequalities in one variable

 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II

8.5.5: Write multi-step equations and inequalities to represent problem situations

 Linear Inequalities in Two Variables
 Solving Equations by Graphing Each Side

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.