Title: The Pattern of Graphing Quadratic Equations
The students will develop an algebraic expression from geometric representations and ultimately graph quadratic equations with understanding. The students will also develop a better understanding of algebraic expressions by comparing with geometric, tabular, and graphical representations.
Standard(s): [MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2]
Title: Express Yourself with Patterns
During this lesson, the students will use growing patterns to develop an algebraic expression with understanding. The students will also learn mathematical vocabulary with the use of the newly created expression.
Standard(s): [MA2015] (6) 15: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). [6-EE4]
Title: Order Among Chaos
This lesson is designed to assist students not only in using the order of operations, but also experimenting with how grouping and ordering affects answers. In groups as teams, the students will compete while finding algebraic expressions using only the numbers 1, 2, 3, and 4, as well as all operations including exponents and grouping symbols, to find a desired integer result. To gain points, the value of each formed expression must be from the set of integers 1-25 or 1-100 depending on time constraints. They should attempt to get an expression with each of the listed integers required. Modeled examples are embedded in the directions slide show so the students are instructed in the process of the competition.
Standard(s): [MA2015] (6) 14: Apply the properties of operations to generate equivalent expressions. [6-EE3]
Title: The Laws of Exponents
During this activity, students will review the laws of exponents. They will demonstrate their knowledge by creating an interactive computer game or a podcast.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
Standard(s): [MA2015] (8) 3: Know and apply the properties of integer exponents to generate equivalent numerical expressions. [8-EE1]
Title: Balancing Shapes
In this lesson, one of a multi-part unit from Illuminations, students balance shapes using an interactive pan balance applet to study equality, essential to understanding algebra. Equivalent relationships are recognized when the pans balance, demonstrating the properties of equality.
Standard(s): [MA2015] (7) 10: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. [7-EE4]
Title: Primary Krypto
This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number.
Standard(s): [MA2015] (7) 6: Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7-NS3]
Title: Pan Balance -- Expressions
This interactive pan balance, from Illuminations, allows students to enter and compare numeric or algebraic expressions. They can '' weigh'' the expressions they want to compare by entering them on either side of the balance, allowing them to practice arithmetic and algebraic skills, as well as to investigate the concept of equivalence.
Standard(s): [MA2015] (8) 12: Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [8-F2]