# Teaching Resources for 6-7 Algebra and Functions

1. Walk The Plank - When one end of a wooden board is placed on a bathroom scale and the other end is suspended on a textbook, students can "walk the plank" and record the weight measurement as their distance from the scale changes. The results are unexpected— the relationship between the weight and distance is linear, and all lines have the same x-intercept. This investigation leads to a real world occurrence of negative slope, examples of which are often hard to find.
2. Algebra Balance Scales- A virtual manipulative to help students practice balancing linear equations in one variable.
3. Pan Balance- Expressions -This interactive pan balance allows numeric or algebraic expressions to be entered and compared. You can "weigh" the expressions you want to compare by entering them on either side of the balance. Using this interactive tool, you can practice arithmetic and algebraic skills, and investigate the important concept of equivalence. This balance is a natural extension of Pan Balance - Shapes.
4. Algebra Tiles- NVLM- Applet introduces algebra tiles model for multiplying and factoring expressions.
5. Growth Rate- Given growth charts for the heights of girls and boys, students will use slope to approximate rates of change in the height of boys and girls at different ages. Students will use these approximations to plot graphs of the rate of change of height vs. age for boys and girls.
6. Movement with Functions: Lesson 1- This investigation uses a motion detector to help students understand graphs and equations. Students experience constant and variable rates of change and are challenged to consider graphs where no movements are possible to create them. Multiple representations are used throughout the lesson to allow students to build their fluency with in how graphs, tables, equations, and physical modeling are connected. The lesson also allows students to investigate multiple function types, including linear, exponential, quadratic, and piecewise.
7. Movement with Functions: Lesson 2- A common problem when students learn about the slope-intercept equation y = mx + b is that they mechanically substitute for m and b without understanding their meaning. This lesson is intended to provide students with a method for understanding that m is a rate of change and b is the value when x = 0. This kinesthetic activity allows students to form a physical interpretation of slope and y-intercept by running across a football field. Students will be able to verbalize the meaning of the equation to reinforce understanding and discover that slope (or rate of movement) is the same for all sets of points given a set of data with a linear relationship.
8. Movement with Functions: Lesson 3- In this lesson, students use remote-controlled cars to create a system of equations. The solution of the system corresponds to the cars crashing. Multiple representations are woven together throughout the lesson, using graphs, scatter plots, equations, tables, and technological tools. Students calculate the time and place of the crash mathematically, and then test the results by crashing the cars into each other.
9. Variables Math Lesson Plan- Full lesson plan on using variables to represent values. This lesson uses manipulatives.
10. Solving Linear Equations Review Game- Solving linear equations is a cornerstone of Algebra and other higher level math classes. The skills involved are critically important to the students' confidence and success within high school mathematics. In this project, students develop a board game that help their peers review solving linear equations. This project requires internet access as the students will use various web sites to collect sample problems of varying degrees of difficulty. The entire project should use about 230 minutes of instruction time. Adjust as needed.
11. Math 6 Spy Guys- Interactive lessons that covers multiple standards from the Mathematics Framework for California Schools. Includes a glossary, strategies, and operations.
12. Web Math - Students could use this as a resource for review or to clarify topics discussed in class but not fully understood. The resource is easy to use and navigate to either specific concepts or broader topics. The site also offers specific sections on the conversion of units (applicable to the sciences).

 Title Growth Rate URL http://illuminations.nctm.org/LessonDetail.aspx?id=L668 Materials needed Browser Java Activity sheet Graphing calculator Adobe software Learning Objectives Students will: Use slope to approximate the rate of change in height for boys and girls at different ages. Use approximations to plot graphs of the growth rate vs. age for boys and girls Grade Levels Grade 7 CA 97 Standards Grade 7: AF 3.4 Plot the values of quantities whose rations are always the same. Fit a line to the plot and understand that the slope of the line equals the quantities. CA Common Core State Standards Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning 7.RP 2d. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. 8EE 3. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. How could you use this resource? Students can use this resource in a lab to discover how slope or rate of change can be compared in real world problems. Teachers can use this resource as an introduction to slope. EL and Special Needs Uses a hands-on chart and table of values to introduce slope. Lesson Plans Share your lesson on MERLOT! See other teachers' lesson plans on MERLOT. Teacher Comments Share your comments on MERLOT! See other teacher comments on MERLOT. Cost Free Copyright (c)2000-2010