background preloader

NCTM Brain Teasers

NCTM Brain Teasers
Sliding Triangle The triangle at left lies on a flat surface and is pushed at the top vertex. The length of the congruent sides does not change, but the angle between the two congruent sides will increase, and the base will stretch. What is the maximum area achieved during this process? This brainteaser was written by Derrick Niederman. Solution: 200 square units; 32 units. For the first part of the question, the maximum area occurs when the angle between the sides is a right angle. For a more advanced trigonometry solution, remember that the area of a triangle can be calculated by taking half the product of two sides and the sine of the angle between those sides. For the second part of the question, note that if you bisect the original triangle, divide it into two right triangles, and rearrange the pieces, you can form a new triangle with exactly the same area. Again using a trig solution, A=(1/2)absinθ, where a and b are the side lengths. Related:  Math Gameslauriebworthyjtrivisonno

Illuminations Interactive Games Compound Interest Simulator This applet will allow you to investigate savings account earnings, credit card debt, and a stock market simulation. Mixtures Use this tool to explore mixture problems and percentages using colored circles in two different piles. Cyclic Figures Students will recognize rotation symmetry in figures and examining various rotation symmetries. Pick-a-Path Help Okta reach the target by choosing a path from the top of the maze to the bottom. Circle Area Use this tool to see the relationship between the area of a circle and its radius. Area of Parallelograms This applet shows the relationship between the area of a parallelogram and the lengths of its sides. Area of Trapezoids Investigate how changes in the base and height of a trapezoid affect its area.

Stick Pick Response to Intervention | RTI | RTI Resources | Intervention Central Math Tests and Quizzes That Are Aligned Core Math Curriculum Math Tests and Topic/Skill Based Quizzes We now have a full line of tests for each section of the common core curriculum. Test are fully available to members for immediate download. There is a test sampler in each section for those who haven't signed up yet and want to see what it is all about. Tests By Grade Level Kindergarten Level - You'll find a multiple choice version, short response, and all 5 individual content areas in their own quiz.Grade 1- The level of the material seems very difficult for first graders, but it is perfectly aligned.Grade 2- The extended response test form is difficult for most students at this level.Grade 3- Geometry comes to life, at least a little more.

Lemonade Stand Game Directions Directions for the Lemonade Stand Game Have you ever wondered if you would be good at running your own business? Well here is your chance! You now have your very own lemonade stand and 30 days to try and make some money. After you click PLAY, you are shown a room with a window and a T.V. Once you know what the weather is like for the day, look next to where it says ASSETS. Under the ASSETS is your COST PER GLASS. What you have to do now is decide how many advertising signs to make. Next you will decide how much to charge for each glass of lemonade. Finally, decide how many glasses of lemonade to make for the day. Did your ASSETS go up? Remember you have 30 days of following the steps above to try and make a bunch of money! Back to game!

Standards-Based Grading | When Math Happens When Math Happens Leave a comment Standards-Based Grading The following 4 links are a snapshot of how Standards-Based Grading works in my classroom. Below are resources that are helpful for exploring and implementing Standards-Based Grading. Share this: Leave a Reply Create a free website or blog at | The Chunk Theme. Follow Get every new post delivered to your Inbox. Join 47 other followers Build a website with Examples of Formative Assessment When incorporated into classroom practice, the formative assessment process provides information needed to adjust teaching and learning while they are still happening. The process serves as practice for the student and a check for understanding during the learning process. The formative assessment process guides teachers in making decisions about future instruction. Here are a few examples that may be used in the classroom during the formative assessment process to collect evidence of student learning. Observations Questioning Discussion Exit/Admit Slips Learning/Response Logs Graphic Organizers Peer/Self Assessments Practice Presentations Visual Representations Kinesthetic Assessments Individual Whiteboards Laundry Day Four Corners Constructive Quizzes Think Pair Share Appointment Clock eHow: Types of Formative Assessment

Math Games The Murb Hospital is now taking new patients! Not feeling well, or just need a check-up, take the bus to 101 Third Avenue to visit the helpful doctors and nurses! Dr. Dylan, Nurse Prixie, and Nurse Nelly are excited to see you. Dr. This game takes you into the laboratory of Kai, a budding young chemist, who seems to have mixed up his vials and created quite a problem. Bleepy's Gifts Bleepy's gift shoppe is very busy because of Valentine's Day. Monster Car Wash Tessie the two-headed teacher is helping Murb's library by having a fundraiser at the school. Zombie Prom Lucy is ready to dress the actor and actress from the lates movie, Zomie Prom! Candy Capers The parents from this town decided that it was too easy getting the candy at the door, so they made an obstacle course around the neighborhood. ndy that is hidden around the neighborhood while avoiding the costumed cats that also want that candy. Muddy's Marsh Muddy lives in the marsh in Murb. Sasha's Grocery Delivery Tory Tools! Cone Crazy 2:

Responding to Student Progress | When Math Happens One area where I need a lot of growth is responding to the progress of my students. Specifically, what are the next steps after I’ve identified the level of understanding in certain concepts? I recently decided to tackle this challenge during our review days for the state assessment. The goal was to review the most tested concepts, but I also wanted the kids to work on their biggest struggle areas. I began the process by consolidating all of the data from concept quizzes throughout the year. Here’s a tutorial video showing the process of creating these reports. This is a similar idea to the Growth Mindset Reports I blogged about a few months ago. For the original reports, I had the students self-assess their understanding of each concept because I was concerned about classroom status issues. I created several silent solution videos as the first step toward responding to student progress (the idea came from Kyle Pearce and Cathy Yenca). Here’s a sample… Level 1: Level 2: Level 3: Level 4:

Model Curriculum: Mathematics (K-12) Mathematics (K-12) REVISED Model Curriculum – June 2014 The model curriculum is intended as a tool to support districts in their own curricular planning. During its development, teams of educators used all available information about the Common Core State Standards and PARCC to appropriately organize and sequence the standards across five units. Since the model curriculum's original development, PARCC has released the Evidence Tables for grades 3 through Algebra II ( In response to this release, the model curriculum underwent a revision to ensure that standards occurring on the PBA were addressed in the first four units of the curriculum. In addition, a suggested modified assessment schedule is included. Questions can be directed to Introduction We look forward to your review and feedback on the mathematics model curriculum aligned to the Common Core State Standards (CCSS).

Math Games - Hooda Math - over 100 Math Games One Example of a “Bad Hint” :: Annie at the Math Forum A couple of weeks ago during the Sunday night #probchat on Twitter the topic of hints came up. (You can read the whole conversation at Storify.) A few people started talking about possible “good” and “bad” hints, and I wondered how we’d gotten onto the topic of hints, rather than talking about possible solution strategies (which was the current question posed in the chat). So I chimed in with I know hints are a hot Twitter topic right now, and I agree that you do, as a teacher, want to have a plan for what to say to kids who are stuck somewhere specific (that you expected them to get stuck). But most of the hints that we give are really shoves (some very gentle, some more forceful) in a particular direction. figure out what the student understands about the storyhonor where the student is and what they’ve thought of so farlet the student do all the work and make all the decisions Yes, even if they say, “I don’t know how to start.” The students looked at him and said, “Whoa!

HOME - Math Regents Exams Integrated Algebra, Geometry, Trigonometry worksheets answers lesson plans ExamView resources