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
Correlation last revised: 5/11/2018