Insights into Algebra 1: Quadratic Functions
This course is part four of the Insights into Algebra I Series. It highlights the work done in a Texas high school where students go from graphing quadratic functions to modeling, solving, and presenting what they have learned about quadratic equations. It models strategies that develop a community of learners, a hands on environment for students to explore what they are learning, and an alternative assessment method to gauge where students are in their learning.
Insights into Algebra 1: Properties
Part I: Factoring basic quadratic expressions using algebra tiles and graphs. Part II: Understanding and using basic recursion to solve problems. Teaching Strategies: The Rule of Four and Patterns.
Insights into Algebra 1: Exponential Functions
Part I: Modeling exponential growth/decay problems, and understanding the growth/decay factor and the growth/decay rate. Part II: Understanding basic properties of exponents, including negative exponents and properties of exponents. Teaching Strategies: Affective domain and Instructional decision making.
Insights into Algebra 1: Direct and Inverse Variation
Part I: Exploring direct variation by recognizing and describing situations that involve direct variation. Part II: Exploring inverse variation by recognizing and describing situations that involve inverse variation.
Insights into Algebra 1: Mathematical Modeling
Part I: Understanding and interpreting rates of change as used in modeling situations, including fitting lines to data. Part II: Investigating number patterns and relationships that include linear and exponential functions. Teaching Strategies: Listening and Lesson study.
Learning Math: Number and Operations - What is a Number System?
In this session, participants will use a finite number system and number lines to begin to gain a deeper understanding of the elements and operations that make up our infinite number system.
Learning Math: Number and Operations - Number Sets, Infinity, and Zero
In this session, participants will continue exploration of the number sets that make up the real number system and look more closely at the concept of infinity and the importance of zero.
Learning Math: Number and Operations - Place Value
In this session, participants will strengthen their understanding of place value by looking at systems based on numbers other than 10.
Learning Math: Number and Operations - Meanings and Models for Operations
In this course, educators will examine the operations of addition, subtraction, multiplication, and division and their relationships to whole numbers. Some of the laws that govern these operations and the use of mathematical models to reinforce the algorithms will be discussed.
Learning Math: Number and Operations - Divisibility Tests and Factors
This course introduces some topics related to number theory. Number theory allows us to consider why mathematics works the way it does. Educators will work with "Alpha math" problems to explore relationships among numbers, which is an important part of thinking about mathematics. This course also looks at divisibility tests and why they work, then moves on to examine factors.