This one is called the Honeycomb Performance Task. But every unit in Algebra 1 in our school has a performance task. Each honeycomb in the core has a height of one foot. Ask the student to use the equations to show that the solution satisfies each equation in the system and is, consequently, a solution of the system. Additionally, students will use probabilities and likelihoods to find and organize all the possible events for a situation. Solve quadratic equations by inspection e.
What I love to do is have the kids go through the activity for the first half or two thirds of our review period then spend the remainder of the time reviewing the questions as a class on the overhead projector. Review what it means for an ordered pair to be a solution of a system of linear equations in two variables. Provide additional opportunities to identify and justify solutions of graphed systems of equations. The Basic Task: You are an engineer for Plasticore Corporation who makes custom tables of varying sizes for banquet halls. For example, if the function h n gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. I also provide some external executive function support for students in terms of time management.
The performance task requires students to design a cereal box that is cost efficient and space saving. While students are working, I am making rounds, providing cues to students as needed - I try to let most student struggle a bit before providing a cue to help them initiate. It is a very low floor task that hooks students in and gives all learners a feeling of success prior to diving into solving Systems of Linear Equations. Questions Eliciting Thinking Why is the solution the point at which the two lines meet? Questions Eliciting Thinking How did you graph these lines? Finally, students will apply their proportional reasoning to a real-world situation. How many hexagons did you color for stage 1? During this transition period, you should use your judgement as to where they fit in your current course. For my thoughts on teaching, learning and everything in between, please visit my blog Thanks.
For example, suggest that the student check solutions in both of the original equations and check that each equation was graphed correctly. Download Resources: You can access all the resources in a shared Google Drive folder. Read through this information to find out what you need to do to calculate somebody's Federal Income Tax. I will have students work in groups of 4 and will give them 8 minutes per station. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Can you identify the slope and y-intercept of the graphs from the equations? Solve simple cases by inspection.
You will need to analyze the data given, read through the new definitions, and apply your math skills to this task. How can you check if your ordered pair is the solution? Once you have the lines graphed, how can you find the solution of the system? Students will interpret the meaning of a variable in the context of a given real-life scenario and will write a real-life scenario given an equation. If you have questions about what certain words mean, please ask me to explain :. Recognize when the quadratic formula gives complex solutions and write them as a Â± bi for real numbers a and b. This post is to share a little more information on how we end the unit.
Examples of Student Work at this Level The student correctly graphs each equation and locates the point of intersection. Students will be asked to solve some constructed response questions involving proportional relationships. Examples of Student Work at this Level The student correctly graphs both lines and identifies -3, 7 as the solution of the system. Additionally, they will develop logical arguments about photographs and cite evidence to support their reasoning. Instructional Implications Discuss how many solutions systems represented by intersecting lines, parallel lines, and coinciding lines will have.
That was a lot of work when a student could solve it in 3 pretty basic steps. You have been asked to design and manufacture round banquet tables with layered honeycomb cores. This 20 Quadratic Equations Task Card resource is very unique. Present three different systems of linear equations one solution, no solution, infinitely many solutions with each equation written in slope-intercept form. Supporting Images: Solution Exemplars and Lesson Outline: When I deliver the Counting Candies Sequel, I typically do the task first.
After discussing a solution like this, you might want to start making connections to algebra and consolidating by formalizing the idea of a system of equations and what must be done to solve it. Building and Solving Linear Equations Mathematical goals This lesson unit is intended to help you assess how well students are able to create and solve linear equations. I make a second copy of this template on the back of the page so that students who complete the exercise quickly can be given a second, more challenging quadratic function to work with. Calculate those two extra fees and find the final total cost of the Aquaturf order of eighty 15 feet diameter honeycomb core tables. This activity, although very challenging for students, tends to be very popular and a source of pride for students who complete it. It's a nice way to start the year, looking at patterns and making sense of them.
Ask the student to identify a point that is only on one of the graphed lines and demonstrate how it satisfies the equation associated with that line but not the other. Could it be that we have built the automaticity to quickly identify problems and match them with the procedural solution? Be sure the student understands how to identify the slope and the y-intercept of the graph of a line from its equation written in slope-intercept form. Questions Eliciting Thinking How do you write an ordered pair, x, y or y, x? This blog is devoted to sharing my high school mathematics teaching ideas! The Sequel extends this idea and asks students to determine how many of each colour are there using a system of linear equations. Emphasize the relationship between the graphs and the equations they represent, and guide the student to interpret the graphical outcomes in terms of the system of equations. They evaluate sample student work and create linear equations for each other to solve. Students have done this intuitively here, so now it could be easier for them to make that connection in the algebraic world. Review what it means for an ordered pair to be a solution of a system of linear equations in two variables.
Instructional Implications Review slope, y-intercept, and the slope-intercept form of a linear equation. This is called a performance task because it requires you to perform multiple tasks, but all of them are about the same topic. If you have questions about the steps needed, please ask me for clarification. I have each station paper-clipped together. Make it clear that the point of intersection of the two graphs represents a solution of each equation in the system so is, consequently, a solution of the system. If you have only one period per day, this might take you 2 periods.