Model Academic Standards

B.8.1: Read, represent, and interpret various rational numbers (whole numbers, integers, decimals, fractions, and percents) with verbal descriptions, geometric models, and mathematical notation (e.g., expanded, scientific, exponential)

B.8.2: Perform and explain operations on rational numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Real Number Line - Activity A

Sums and Differences with Decimals

B.8.3: Generate and explain equivalencies among fractions, decimals, and percents

Percents, Fractions and Decimals

B.8.4: Express order relationships among rational numbers using appropriate symbols (>, <, "greater than or equal to", "less than or equal to", "not equal to")

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

B.8.5: Apply proportional thinking in a variety of problem situations that include, but are not limited to

B.8.5.a: ratios and proportions (e.g., rates, scale drawings, similarity)

Estimating Population Size

Part:Part and Part:Whole Ratios

Perimeters and Areas of Similar Figures

Polling: Neighborhood

Proportions and Common Multipliers

Similar Figures - Activity A

Similar Polygons

B.8.5.b: percents, including those greater than 100 and less than one (e.g., discounts, rate of increase or decrease, sales tax)

Percent of Change

Percents and Proportions

B.8.6: Model and solve problems involving number-theory concepts such as

B.8.6.a: prime and composite numbers

Finding Factors with Area Models

B.8.7: In problem-solving situations, select and use appropriate computational procedures with rational numbers such as

B.8.7.b: estimating

Estimating Population Size

Estimating Sums and Differences

C.8.1: Describe special and complex two- and three-dimensional figures (e.g., rhombus, polyhedron, cylinder) and their component parts (e.g., base, altitude, and slant height) by

C.8.1.a: naming, defining, and giving examples

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

C.8.1.b: comparing, sorting, and classifying them

Classifying Quadrilaterals - Activity A

Classifying Triangles

Parallelogram Conditions

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

Surface and Lateral Area of Prisms and Cylinders

C.8.1.c: identifying and contrasting their properties (e.g., symmetrical, isosceles, regular)

Congruence in Right Triangles

Holiday Snowflake Designer

Prisms and Cylinders - Activity A

Proving Triangles Congruent

Pyramids and Cones - Activity A

C.8.1.e: explaining how these figures are related to objects in the environment

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

C.8.2: Identify and use relationships among the component parts of special and complex two- and three-dimensional figures (e.g., parallel sides, congruent faces).

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

C.8.3: Identify three-dimensional shapes from two-dimensional perspectives and draw two-dimensional sketches of three-dimensional objects preserving their significant features

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

C.8.4: Perform transformations on two-dimensional figures and describe and analyze the effects of the transformations on the figures

Dilations

Reflections

Rotations, Reflections and Translations

C.8.5: Locate objects using the rectangular coordinate system

Points in the Coordinate Plane - Activity A

D.8.3: Determine measurement directly using standard units (metric and US Customary) with these suggested degrees of accuracy

D.8.3.a: lengths to the nearest mm or 1/16 of an inch

D.8.3.f: elapsed time to the nearest second

D.8.4: Determine measurements indirectly using

D.8.4.a: estimation

D.8.4.c: ratio and proportion (e.g., similarity, scale drawings)

Estimating Population Size

Proportions and Common Multipliers

D.8.4.d: geometric formulas to derive lengths, areas, volumes of common figures (e.g., perimeter, circumference, surface area)

Circle: Circumference and Area

Measuring Trees

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

D.8.4.e: the Pythagorean relationship

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

D.8.4.f: geometric relationships and properties for angle size (e.g., parallel lines and transversals; sum of angles of a triangle; vertical angles)

Investigating Angle Theorems - Activity A

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

E.8.2: Organize and display data from statistical investigations using

E.8.2.b: appropriate plots (e.g., line, stem-and-leaf, box, scatter)

Box-and-Whisker Plots

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

E.8.3: Extract, interpret, and analyze information from organized and displayed data by using

E.8.3.a: frequency and distribution, including mode and range

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

Populations and Samples

E.8.3.b: central tendencies of data (mean and median)

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

E.8.5: Compare several sets of data to generate, test, and, as the data dictate, confirm or deny hypotheses

E.8.7: Determine the likelihood of occurrence of simple events by

E.8.7.a: using a variety of strategies to identify possible outcomes (e.g., lists, tables, tree diagrams)

Permutations

Permutations and Combinations

E.8.7.b: conducting an experiment

Geometric Probability - Activity A

Probability Simulations

E.8.7.c: designing and conducting simulations

E.8.7.d: applying theoretical notions of probability (e.g., that four equally likely events have a 25% chance of happening)

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

F.8.1: Work with algebraic expressions in a variety of ways, including

F.8.1.a: using appropriate symbolism, including exponents and variables

Using Algebraic Equations

Using Algebraic Expressions

F.8.2: Work with linear and nonlinear patterns and relationships in a variety of ways, including

F.8.2.a: representing them with tables, with graphs, and with algebraic expressions, equations, and inequalities

Arithmetic Sequences

Arithmetic and Geometric Sequences

Inequalities Involving Absolute Values

Linear Functions

Linear Inequalities in Two Variables - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

F.8.2.b: describing and interpreting their graphical representations (e.g., slope, rate of change, intercepts)

Defining a Line with Two Points

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

F.8.2.c: using them as models of real-world phenomena

F.8.2.d: describing a real-world phenomenon that a given graph might represent

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

F.8.3: Recognize, describe, and analyze functional relationships by generalizing a rule that characterizes the pattern of change among variables. These functional relationships include exponential growth and decay (e.g., cell division, depreciation)

Arithmetic Sequences

Arithmetic and Geometric Sequences

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Finding Patterns

Geometric Sequences

Half-life

F.8.4: Use linear equations and inequalities in a variety of ways, including

F.8.4.a: writing them to represent problem situations and to express generalizations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

F.8.4.b: solving them by different methods (e.g., informally, graphically, with formal properties, with technology)

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

F.8.4.d: using them to record and describe solution strategies

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

F.8.5: Recognize and use generalized properties and relations, including

F.8.5.a: additive and multiplicative property of equations and inequalities

Addition and Subtraction of Polynomials

Correlation last revised: 11/13/2008