Pre-Algebra Unit 1:
The Language of Algebra
$210 for 7 weeks
Students will discover the basics of algebra. They will begin building their confidence of variables and expressions as they manipulate and interpret the core properties and rules. Students will create a comic strip containing a concept from Unit I. The cartoon should explain a mathematical idea, rule, or concept from the unit.
Homework assignments are given through Classcraft. Students will have 4 - 8 assignments per week that build from simple to complex. The homework listed below is the final assignment (complex one) for that week in Classcraft.
Students will need line paper, pencil and graph paper.
11 - 15 years old
Session #1: Words and Expressions
Students will translate verbal phrases into numerical expressions and will use the order of operations to evaluate expressions.
Students will each be given a number. They must create an equation with a total of 6-8 steps to get the given number as their answer. Students must use all four operations at least once. The equation should also include parenthesis and exponents. Each step to solve the problem must be shown.
Session #2: Variables and Expressions
Students will present their equation to the class. Students will translate verbal phrases into algebraic expressions. They will evaluate expressions that contain variables.
Students will complete various problems - translating phrases into algebraic expressions and evaluating expressions. Begin project work.
Session #3: Properties of Numbers
Students will identify and use properties of addition and multiplication.
Students will choose two properties and explain how the properties help them in mathematics. They should include examples of each property. Students will also be given a set of problems to complete. Continue to work on project.
Session #4: Problem-Solving Strategies
Students will use problem-solving strategies to solve non routine problems. They will choose an appropriate strategy given various problems.
Students will be given various problems and will have to decide the most appropriate strategy to solve each problem. Continue to work on comic strip.
Session #5: Ordered Pairs and Relations
Students will use ordered pairs to locate points. They will use graphs to represent relations. Students will be introduced to domain and range and will find each from a set of values or graph.
Students will create a picture on the coordinate plane using ordered pairs. They will list the ordered pairs separate from the picture and challenge another student to complete the picture. Continue to work on project.
Session #6: Words, Equations, Tables, and Graphs
Students will discuss homework. Students will represent relations using multiple representations.
Students will write a paragraph comparing tables and graphs. They will describe which form of data they prefer and why. They will also be given 3 problems that they will use to write an equation, make a table of values, and graph.
Session #7: Comic Strip Presentation
Students will present and discuss their comic strip to the class.