N: Number Sense, Properties, and Operations

N.1: In the real number system, rational and irrational numbers are in one to one correspondence to points on the number line

N.1.a: Compare and order sets of integers and rational numbers that are expressed as fractions, decimals, or percents

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

N.1.b: Given a whole number from 0 - 100, determine whether it is a perfect square or find the two consecutive whole numbers between which its square root lies

Operations with Radical Expressions
Square Roots

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

N.2.a: Add, subtract, multiply and divide rational numbers including integers, positive and negative fractions and decimals

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

N.2.b: Apply computational methods to solve multi-step application problems involving percents and rational numbers

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

P: Patterns, Functions, and Algebraic Structures

P.1: Linear functions model situations with a constant rate of change and can be represented algebraically, graphically, and using tables

P.1.a: Convert from one representation of a linear function to another, including situations, tables, equations (slope-intercept form), and graphs

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

P.1.b: Use representations of linear functions to analyze situations and solve problems

Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Slope-Intercept Form of a Line

P.1.d: Identify and interpret the slope (rate of change) and y-intercept in graphs, in tables, and from equations in slope-intercept form

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

P.1.e: Model and graph two linear equations in slope-intercept form on the same coordinate plane and interpret the point of intersection as the solution to the system of equations

Solving Linear Systems (Slope-Intercept Form)

P.2: Properties of algebra, equality, and inequality are used to solve linear equations and inequalities

P.2.a: Use the distributive, associative, and commutative properties to simplify algebraic expressions

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

P.2.b: Solve one-variable equations including those involving multiple steps, rational numbers, variables on both sides, and the distributive property

Absolute Value Equations and Inequalities
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations

P.2.c: Solve inequalities in one variable including negative coefficients and graph the solution on a number line

Absolute Value Equations and Inequalities
Exploring Linear Inequalities in One Variable
Rational Numbers, Opposites, and Absolute Values
Solving Linear Inequalities in One Variable

P.2.d: Represent the distributive property in a variety of ways including numerically, geometrically, and algebraically

Chocomatic (Multiplication, Arrays, and Area)

P.3: Graphs and tables can be used to distinguish between linear and nonlinear functions

P.3.a: Given a table or graph determine if the function is linear

Absolute Value with Linear Functions
Linear Functions

P.3.b: Explain the properties of linear functions in tables and graphs

Absolute Value with Linear Functions
Exponential Functions
Function Machines 3 (Functions and Problem Solving)
Graphs of Polynomial Functions
Linear Functions
Slope-Intercept Form of a Line

D: Data Analysis, Statistics, and Probability

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

D.1.a: Given a scatter plot, calculate quadrant count ratio to quantify the magnitude and strength of the association between two variables for numeric data as positive, negative, or no correlation

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

D.1.b: Given a scatter plot suggesting a linear relationship, draw a line of fit to make predictions

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

S: Shape, Dimension, and Geometric Relationships

S.1: Objects in the plane and their parts and attributes can be analyzed

S.1.a: Classify quadrilaterals and apply angle and side properties, including the sum of the interior angles

Classifying Quadrilaterals
Special Parallelograms

S.1.b: Apply properties of complementary, supplementary, and vertical angle relationships

Investigating Angle Theorems
Triangle Angle Sum

S.1.c: Apply properties of parallel lines including corresponding angles and alternate interior angles

Parallel, Intersecting, and Skew Lines
Similar Figures
Triangle Angle Sum

S.2: Direct and indirect measurements can be used to describe and make comparisons

S.2.a: Use properties of similar triangles to find unknown lengths

Perimeters and Areas of Similar Figures

S.2.b: Use the Pythagorean Theorem to find unknown lengths in right triangles

Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard

S.2.d: Use proportional reasoning to convert among measures including dimensional analysis

Unit Conversions