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
 Rational Numbers, Opposites, and Absolute Values

3: Estimate the answer to an operation involving rational numbers based on the original numbers

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

4: Read and write numbers in scientific notation with positive exponents

 Unit Conversions 2 - Scientific Notation and Significant Digits

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Order of Operations
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

6: Identify missing information or suggest a strategy for solving a real-life, rational-number problem

 Estimating Population Size

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

 Estimating Population Size
 Part-to-part and Part-to-whole Ratios

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

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Real-Time Histogram

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

 Household Energy Usage
 Road Trip (Problem Solving)

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

 Compound Interest
 Linear Functions
 Slope-Intercept Form of a Line

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

 Compound Inequalities
 Linear Inequalities in Two Variables
 Modeling and Solving Two-Step Equations
 Point-Slope Form of a Line
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Standard Form of a Line
 Systems of Linear Inequalities (Slope-intercept form)

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

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Multiplying with Decimals
 Points, Lines, and Equations

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

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

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

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

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

 Household Energy Usage

22: Convert units of volume/capacity within systems for U.S. and metric units

 Unit Conversions

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)
 Rock Art (Transformations)

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

 Rock Art (Transformations)
 Rotations, Reflections, and Translations

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


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

 Investigating Angle Theorems
 Triangle Angle Sum

29: Solve problems involving lengths of sides of similar triangles

 Perimeters and Areas of Similar Figures

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

 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard

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)

 Surface and Lateral Areas of Prisms and Cylinders

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

 Box-and-Whisker Plots
 Stem-and-Leaf Plots

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

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

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

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: City
 Polling: Neighborhood
 Populations and Samples

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

 Permutations and Combinations

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

 Independent and Dependent Events
 Theoretical and Experimental Probability

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

 Arithmetic Sequences
 Geometric Sequences

Correlation last revised: 5/11/2018

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