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

Circles
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

Dilations
Rock Art (Transformations)
Rotations, Reflections, and Translations
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

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
Correlation
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