N: Number Sense, Properties, and Operations

N.1: In the real number system, rational numbers have a unique location on the number line

N.1.a: Read, write, locate on number line, compare and order integers and positive rational numbers

Adding and Subtracting Integers
Adding on the Number Line
Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

N.1.b: Apply the definition of absolute value with integers, quantifying the distance from zero

Rational Numbers, Opposites, and Absolute Values

N.1.c: Express large and small numbers using scientific notation

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

N.2: Formulate, represent, and use algorithms with integers and positive rational numbers flexibly, accurately, and efficiently

N.2.a: Simplify numeric expressions using the order of operations

Order of Operations

N.2.b: Add, subtract, multiply, and divide integers

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

N.2.d: Solve problems involving percent of a number, discounts, taxes, simple interest, percent increase, and percent decrease

Compound Interest
Percent of Change

N.3: Proportional reasoning involves comparisons and multiplicative relationships among ratios

N.3.a: Use ratio relationships to solve for a missing value in a proportion

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

N.3.b: Model proportional relationships with bar models, ratio tables, and similar figures

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Part-to-part and Part-to-whole Ratios
Percents and Proportions
Proportions and Common Multipliers

N.3.c: Explain the difference between a ratio, rate, and unit rate

Beam to Moon (Ratios and Proportions)
Household Energy Usage
Road Trip (Problem Solving)

N.3.d: Estimate and compute unit cost of consumables (to include unit conversions if necessary) sold in quantity to make purchase decisions based on cost and practicality

Household Energy Usage

P: Patterns, Functions, and Algebraic Structures

P.1: Relationships involving the constant rate of change are modeled and solved using linear functions

P.1.b: Given a linear equation (including direct variation), substitute input values to create a table and graph coordinate points in all four quadrants

Direct and Inverse Variation
Points, Lines, and Equations
Slope-Intercept Form of a Line

D: Data Analysis, Statistics, and Probability

D.1: Visual displays and summary statistics with one-variable data condense the information in data sets into usable knowledge

D.1.a: Distinguish between median as middle number and mean as balance point for an ordered set of data

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

D.1.c: Construct and interpret dot plots, histograms, stem-and-leaf plots, and circle graphs

Graphing Skills
Histograms
Mean, Median, and Mode
Polling: City
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

D.1.d: Construct and interpret a box plot using the five-number summary and identify the interquartile range (IQR) for a set of data

Box-and-Whisker Plots
Reaction Time 2 (Graphs and Statistics)

D.1.e: Compare sets of data using shape (skewed, normal, uniform), with appropriate measures of central tendency (mean, median, mode), and appropriate measures of spread (range, IQR, MAD)

Mean, Median, and Mode
Polling: City

S: Shape, Dimension, and Geometric Relationships

S.1: Objects in space and their parts and attributes can be measured and analyzed

S.1.a: Develop and apply formulas and procedures for the surface area and volume of right cylinders and right prism

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

S.1.b: Develop and apply formulas and procedures for area of regular polygons, circumference and area of circles, and area of composite figures

Area of Triangles
Circumference and Area of Circles

S.1.c: Identify and construct two-dimensional nets of prisms and cylinders

Surface and Lateral Areas of Prisms and Cylinders

S.2: Proportional reasoning is used to make indirect measurements

S.2.a: Describe the relationship between the circumference and diameter of a circle

Circumference and Area of Circles

S.2.c: Use proportions to convert from one set of units to another within customary and metric systems using standard units of measure for length, weight, capacity and time

Unit Conversions