Curriculum Frameworks

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.

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.

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.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.

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

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

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.

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.

Correlation last revised: 3/1/2018

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