Algebra I Missouri Learning Standards*
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)
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: 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.
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.