Video:  Origins of Algebra (7:17 mins)

Video:  Introduction to the Coordinate Plane (11:21 mins)

Video:  Algebra 1 Review Study Guide (2:12:09 mins)

Video:  Statistics Intro:  Mean, Median and Mode (8:53 mins)


Interpreting Functions

Video:  What is a function? (7:25 mins)

Video:  Graphing a Basic Function (5:35 mins)

Video:  Graphing Linear Equations |Linear Equations and Functions| (13:09 mins)

Video:  Testing if a Relationship is a Function (2:22 mins)

Video:  Domain and Range of a Relation (2:42 mins)

Video:  Intervals and interval notation (9:35 mins)

Video:  Relations and Functions (6:56 mins)

Video:  Introduction to average rate of change (9:55 mins)

Video:  Analyzing tables of exponential functions (7:19 mins)

Video:  Initial value & common ratio of exponential functions (5:26 mins)

Video:  Graphs of square-root functions (15:00 mins)

Video:  Graphing exponential functions (5:31 mins)

Video:  Exponential growth functions (7:40 mins)

Video:  Interpreting linear graphs word problems example 1 (5:04 mins)

Video:  Interpreting linear graphs word problems example 2 (2:42 mins)

Video:  Interpreting linear tables word problems example 1 (4:02 mins)

  • Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

  • Use function notation to evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

  • Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities.

  • Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

  • Determine the average rate of change of a function over a specified interval and interpret the meaning.

  • Interpret the parameters of a linear or exponential function in terms of the context.

  • Graph functions expressed symbolically and identify and interpret key features of the graph.

  • Translate between different but equivalent forms of a function to reveal and explain properties of the function and  interpret these in terms of a context.

  • Compare the properties of two functions given different representations.


Building Functions

Video:  Functions – Stretching, Compressing, and Reflecting (10:05 mins)

Video:  Vertical and Horizontal Stretches and Compressions (8:47 mins)

  • Analyze the effect of translations and scale changes on functions.


Linear, Quadratic and Exponential Models

Video:  Seven Elementary Functions and Their Graphs (1:38 mins)

Video:  Introduction to Arithmetic Sequences (7:06 mins)

Video:  Introduction to Geometric Sequences (10:44 mins)

Video:  Explicit and Recursive Definitions of Sequence (8:17 mins)

Video:  Finding Term in Recursively Defined Geometric Sequence (3:45 mins)

Video:  Explicitly Defining Function for Arithmetic Sequence (6:16 mins)

  • Distinguish between situations that can be modeled with linear or exponential functions.

  • Describe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

  • Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.

  • Write arithmetic and geometric sequences in recursive and explicit forms, and use them to model situations and translate between the two forms.

  • Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the set of integers.

  • Find the terms of sequences given an explicit or recursive formula.


Data and Statistical Analysis

Video:  Statistical Questions (9:33 mins)

Video:  Ways to Represent Data (8:17 mins)

Video:  Frequency Tables and Dot Plots (7:18 mins)

Video:  Two-way Frequency Tables and Venn Diagrams (6:33 mins)

Video:  Two-way Relative Frequency Tables (4:27 mins)

Video:  Interpreting Two-Way Tables (1:43 mins)

Video:  Slope-intercept form (8:59 mins)

Video:  Correlation and Causality (10:44 mins)

  • Analyze and interpret graphical displays of data.

  • Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.

  • Interpret differences in shape, center and spreads in the context of the data sets, accounting for possible effects of outliers.

  • Summarize data in two-way frequency tables.

  • Construct a scatter plot of bi-variate quantitative data describing how the variables are related; determine and use a function that models the relationships.

  • Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data.

  • Distinguish between correlation and causation.

* Sources: (Course Level Expectations (CLEs))