Academic Standards

8.1.1: Read, write, compare, and solve problems using decimals in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

8.1.2: Know that every rational number is either a terminating or repeating decimal and that every irrational number is a non-repeating decimal.

Circumference and Area of Circles

8.1.3: Understand that computations with an irrational number and a rational number (other than zero) produce an irrational number.

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

8.1.4: Understand and evaluate negative integer exponents.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

8.1.5: Use the laws of exponents for integer exponents.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

8.1.6: Use the inverse relationship between squaring and finding the square root of a perfect square integer.

8.1.7: Calculate and find approximations of square roots.

8.2.1: Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) in multi-step problems.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

8.2.2: Solve problems by computing simple and compound interest.

8.2.4: Use mental arithmetic to compute with common fractions, decimals, powers, and percents.

Percents, Fractions, and Decimals

Sums and Differences with Decimals

8.3.2: Solve systems of two linear equations using the substitution method and identify approximate solutions graphically.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

8.3.4: Use the correct order of operations to find the values of algebraic expressions involving powers.

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

8.3.5: Identify and graph linear functions and identify lines with positive and negative slope.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

8.3.6: Find the slope of a linear function given the equation and write the equation of a line given the slope and any point on the line.

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

8.3.8: Demonstrate an understanding of the relationships among tables, equations, verbal expressions, and graphs of linear functions.

Arithmetic Sequences

Compound Interest

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Points, Lines, and Equations

Slope-Intercept Form of a Line

8.3.10: Graph functions of the form y = nx² and y = nx³ and describe the similarities and differences in the graphs.

Addition and Subtraction of Functions

Exponential Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Translating and Scaling Functions

8.4.1: Identify and describe basic properties of geometric shapes: altitudes, diagonals, angle and perpendicular bisectors, central angles, radii, diameters, and chords.

Classifying Quadrilaterals

Parallelogram Conditions

8.4.2: Perform simple constructions, such as bisectors of segments and angles, copies of segments and angles, and perpendicular segments. Describe and justify the constructions.

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

8.4.4: Draw the translation (slide), rotation (turn), reflection (flip), and dilation (stretches and shrinks) of shapes.

Dilations

Rotations, Reflections, and Translations

Similar Figures

Translations

8.4.5: Use the Pythagorean Theorem and its converse to solve problems in two and three dimensions.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Surface and Lateral Areas of Pyramids and Cones

8.5.1: Convert common measurements for length, area, volume, weight, capacity, and time to equivalent measurements within the same system.

8.5.2: Solve simple problems involving rates and derived measurements for attributes such as velocity and density.

8.5.3: Solve problems involving scale factors, area, and volume using ratio and proportion.

Beam to Moon (Ratios and Proportions)

Dilations

Perimeters and Areas of Similar Figures

Similar Figures

8.5.4: Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms, trapezoids, triangles, circles, prisms, cylinders, spheres, cones, and pyramids.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Perimeter and Area of Rectangles

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

8.5.5: Estimate and compute the area and volume of irregular two- and three-dimensional shapes by breaking the shapes down into more basic geometric objects.

8.6.1: Identify claims based on statistical data and, in simple cases, evaluate the reasonableness of the claims. Design a study to investigate the claim.

8.6.2: Identify different methods of selecting samples, analyzing the strengths and weaknesses of each method, and the possible bias in a sample or display.

Describing Data Using Statistics

Polling: City

Populations and Samples

8.6.3: Understand the meaning of, and be able to identify or compute the minimum value, the lower quartile, the median, the upper quartile, the interquartile range, and the maximum value of a data set.

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)

Sight vs. Sound Reactions

Stem-and-Leaf Plots

8.6.4: Analyze, interpret, and display single- and two-variable data in appropriate bar, line, and circle graphs; stem-and-leaf plots; and box-and-whisker plots and explain which types of display are appropriate for various data sets.

Box-and-Whisker Plots

Distance-Time Graphs

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

8.6.5: Represent two-variable data with a scatterplot on the coordinate plane and describe how the data points are distributed. If the pattern appears to be linear, draw a line that appears to best fit the data and write the equation of that line.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

8.6.6: Understand and recognize equally likely events.

Probability Simulations

Spin the Big Wheel! (Probability)

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.