1: Compare rational numbers using symbols (i.e., <, less than or equal to, =, greater than or equal to, >) and position on a number line

 Comparing and Ordering Decimals
 Comparing and Ordering Fractions
 Comparing and Ordering Integers
 Comparing and Ordering Rational Numbers

2: Use whole number exponents (0-3) in problem-solving contexts

 Dividing Exponential Expressions
 Exponents and Power Rules

5: Simplify expressions involving operations on integers, grouping symbols, and whole number exponents using order of operations

 Dividing Exponential Expressions
 Order of Operations

7: Use proportional reasoning to model and solve real-life problems

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Proportions and Common Multipliers

8: Solve real-life problems involving percentages, including percentages less than 1 or greater than 100

 Percent of Change
 Percents and Proportions
 Simple and Compound Interest

9: Find unit/cost rates and apply them in real-life problems

 Road Trip (Problem Solving)

10: Write real-life meanings of expressions and equations involving rational numbers and variables

 Using Algebraic Equations
 Using Algebraic Expressions

11: Translate real-life situations that can be modeled by linear or exponential relationships to algebraic expressions, equations, and inequalities

 Exponential Functions - Activity A
 Function Machines 2 (Functions, Tables, and Graphs)

12: Solve and graph solutions of multi-step linear equations and inequalities

 Defining a Line with Two Points
 Inequalities Involving Absolute Values
 Modeling and Solving Two-Step Equations
 Slope-Intercept Form of a Line - Activity A
 Solving Equations By Graphing Each Side
 Solving Two-Step Equations
 Standard Form of a Line

13: Switch between functions represented as tables, equations, graphs, and verbal representations, with and without technology

 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Slope-Intercept Form of a Line - Activity A
 Using Tables, Rules and Graphs

14: Construct a table of x- and y-values satisfying a linear equation and construct a graph of the line on the coordinate plane

 Defining a Line with Two Points
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A
 Solving Equations By Graphing Each Side
 Standard Form of a Line
 Using Tables, Rules and Graphs

15: Describe and compare situations with constant or varying rates of change

 Distance-Time Graphs
 Distance-Time and Velocity-Time Graphs

16: Explain and formulate generalizations about how a change in one variable results in a change in another variable

 Distance-Time Graphs

17: Determine the volume and surface area of prisms and cylinders

 Prisms and Cylinders - Activity A
 Surface and Lateral Area of Prisms and Cylinders

18: Apply rate of change in real-life problems, including density, velocity, and international monetary conversions

 Density Experiment: Slice and Dice
 Density Laboratory
 Determining Density via Water Displacement
 Distance-Time Graphs
 Distance-Time and Velocity-Time Graphs

19: Demonstrate an intuitive sense of the relative sizes of common units of volume in relation to real-life applications and use this sense when estimating

 Prisms and Cylinders - Activity A
 Pyramids and Cones - Activity A

20: Identify and select appropriate units for measuring volume

 Prisms and Cylinders - Activity A
 Pyramids and Cones - Activity A

21: Compare and estimate measurements of volume and capacity within and between the U.S. and metric systems

 Prisms and Cylinders - Activity A

23: Define and apply the terms measure, distance, midpoint, bisect, bisector, and perpendicular bisector

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A

24: Demonstrate conceptual and practical understanding of symmetry, similarity, and congruence and identify similar and congruent figures

 Holiday Snowflake Designer
 Perimeters and Areas of Similar Figures
 Quilting Bee (Symmetry)
 Similar Figures - Activity A
 Similar Polygons

25: Predict, draw, and discuss the resulting changes in lengths, orientation, angle measures, and coordinates when figures are translated, reflected across horizontal or vertical lines, and rotated on a grid

 Quilting Bee (Symmetry)
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections and Translations
 Translating and Scaling Functions
 Translations

26: Predict, draw, and discuss the resulting changes in lengths, orientation, and angle measures that occur in figures under a similarity transformation (dilation)

 Dilations

27: Construct polyhedra using 2-dimensional patterns (nets)

 Surface and Lateral Area of Prisms and Cylinders
 Surface and Lateral Area of Pyramids and Cones

28: Apply concepts, properties, and relationships of adjacent, corresponding, vertical, alternate interior, complementary, and supplementary angles

 Investigating Angle Theorems - Activity A
 Triangle Angle Sum - Activity A

29: Solve problems involving lengths of sides of similar triangles

 Perimeters and Areas of Similar Figures
 Similar Figures - Activity A
 Similar Polygons

31: Use area to justify the Pythagorean theorem and apply the Pythagorean theorem and its converse in real-life problems

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A
 Pythagorean Theorem - Activity B

32: Model and explain the relationship between the dimensions of a rectangular prism and its volume (i.e., how scale change in linear dimension(s) affects volume)

 Prisms and Cylinders - Activity A

33: Graph solutions to real-life problems on the coordinate plane

 City Tour (Coordinates)
 Points in the Coordinate Plane - Activity A

34: Determine what kind of data display is appropriate for a given situation

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Histograms
 Line Plots
 Scatter Plots - Activity A
 Stem-and-Leaf Plots

35: Match a data set or graph to a described situation, and vice versa

 Box-and-Whisker Plots
 Graphing Skills
 Line Plots
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

36: Organize and display data using circle graphs

 Graphing Skills
 Reaction Time 1 (Graphs and Statistics)

37: Collect and organize data using box-and-whisker plots and use the plots to interpret quartiles and range

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Line Plots
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)

38: Sketch and interpret a trend line (i.e., line of best fit) on a scatterplot

 Correlation
 Lines of Best Fit Using Least Squares - Activity A
 Scatter Plots - Activity A
 Solving Using Trend Lines

40: Explain factors in a data set that would affect measures of central tendency (e.g., impact of extreme values) and discuss which measure is most appropriate for a given situation

 Describing Data Using Statistics
 Line Plots
 Mean, Median and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)

41: Select random samples that are representative of the population, including sampling with and without replacement, and explain the effect of sampling on bias

 Polling: Neighborhood

42: Use lists, tree diagrams, and tables to apply the concept of permutations to represent an ordering with and without replacement

 Permutations
 Permutations and Combinations
 Reaction Time 1 (Graphs and Statistics)

43: Use lists and tables to apply the concept of combinations to represent the number of possible ways a set of objects can be selected from a group

 Permutations and Combinations

44: Use experimental data presented in tables and graphs to make outcome predictions of independent events

 Compound Independent Events
 Compound Independent and Dependent Events
 Graphing Skills

45: Calculate, illustrate, and apply single- and multiple-event probabilities, including mutually exclusive, independent events and non-mutually exclusive, dependent events

 Compound Independent Events
 Compound Independent and Dependent Events

46: Distinguish between and explain when real-life numerical patterns are linear/arithmetic (i.e., grows by addition) or exponential/geometric (i.e., grows by multiplication)

 Arithmetic and Geometric Sequences
 Finding Patterns
 Linear Functions

47: Represent the nth term in a pattern as a formula and test the representation

 Arithmetic and Geometric Sequences
 Finding Patterns

48: Illustrate patterns of change in dimension(s) and corresponding changes in volumes of rectangular solids

 Prisms and Cylinders - Activity A
 Translating and Scaling Functions

Content correlation last revised: 12/8/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below to go to the Gizmo Details page.