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