Math Mix and Match Workshop Eliza Sorte Director, Northwest Montana Educational Cooperative 124 3rd Ave. East Kalispell, MT 59901 406.752.3302 elizasorte@centurytel.net www.nwmteducationalcoop.org Password: Introductions 1)Choose a number from the bag. 2)Tell a quick story about how that number is relevant to your life. I’ll go first . . . My number is 16. Housekeeping Items Bathrooms Breaks— Take a quick one now and graph in your grade level with a sticky note on the white cupboards please! Snacks and Soda Renewal Units Shop for Ideas!! Other? Objectives • Learn new activities and games that can be integrated in any Math program • Collaborate with colleagues about best instructional practices for Math • Have some fun! How do you get your students downloading??? Standards for Students Give them a context. Provide a picture. Reference relevance. Record use. 10 Problem Solving Strategies 1--Guess and Check 2--Solve a Simpler Problem 3--Make a Model 4--Draw a Picture 5--Use Logical Thinking 6--Work Backwards 7--Make a Table or a Graph 8--Make a List 9--Find a Pattern 10--Use a Formula Warm-Ups that Work Daily Graph In Materials: MAGNETIC BUSINESS CARD (only if you have a magnetic board) STICKY NOTES Instruction Suggestions: --Work from simple bar graphs, to fractions, to decimals, to circle graphs, and have students write about and recreate the graph with all the required components (title, labels, etc.) Warm-Ups that Work Ways to Make “Mathegories” Materials: PAPER NUMBERS Instruction Suggestions: --Model a variety of strategies before setting students out on their own (for example, tallies, money, longer equations, missing variables, etc.) Warm-Ups that Work Coordinate Challenge Materials: COORDINATE APPROPRIATE TO GRADE (1, 2 or 4 quadrants) Instruction Suggestions: --You can give coordinates and have students find words, or you can have students find coordinates for words, you can also modify to play “battleship” for spelling or other content areas Let’s Try It (2,-6), (-4,6), (-1,8),(3,-3),(-5,-6),(-3,-4) (-5,4),(-5,-3),(-2,-1) (5,2),(-5,-3),(5,-1),(-3,2),(3,-3),(-3,4)! Warm-Ups that Work Mental Math Materials: CLUES APPROPRIATE FOR GRADE Instruction Suggestions: --Provide three (one slow and easy, medium, and one higher level), you don’t need digits students can use fingers, for ones that are already done see Marcy Cook materials, don’t forget the power of words like dozen, half, triple, etc., explain that this does not follow the order of operations Warm-Ups that Work You can purchase a wand and discs at Estimation Wand Wal-mart in the party section—they’re considered BINGO accessories. Materials: MAGNETIC “WAND” MAGNETIC DISCS (paperclips, etc.) Instruction Suggestions: --Have several “estimates” ready to go with written clues, for ones that are already done check out Marcy Cook materials Warm-Ups that Work Alphabet Soup Materials: ALPHABET WITH VALUES Instruction Suggestions: --Provide alphabet sheet as part of Math journal, use technology by allowing them to check values and to try and find $1.00 words if each letter is worth the equivalent of pennies (Google: Dollar Words) Who’s the Most Expensive? Find the value of your first name. For example: E (5) + L (12) + I (9) + Z(26) + A(1) = My name is worth 52 points. Warm-Ups that Work Vocabulary on the Head Materials: VOCABULARY WORDS ON CARDS SMALL PRIZES Instruction Suggestions: --Clip words on a board versus trying to put on the head, give prizes to both the guesser and the giver, use at end of unit Warm-Ups that Work Roll High-Roll Low Materials: DICE RECORDING SHEET Instruction Suggestions: --Better used as a whole group overhead activity, more than about 4 rolls Warm Ups that Work Quick Draw Materials GEOMETRIC DRAWINGS Instructional Suggestions: Explain the process: pencils down, look, draw, pencils down, look, modify-cross out-or leave alone, look, discuss. Let’s Try It! BREAK TIME! Games—Look Like? Sound Like? How many in a group? How do you get materials? How do you clean up? How will you be assessed? What noise level should you use? Who will start? Who goes next? What determines a “win”? Is there a winner? What will you play? How long will you play? Where will you play? How does the game help you Mathematically? Games Greedy (intermediate) --probability, computation, logical reasoning Pig (primary & intermediate) --probability, computation (+ & - ), logical reasoning Multiplication Tic-Tac-Toe --computation (x), logical reasoning Silent Math --quiet computation! Games Function Fun --algebraic thinking, computation, logical reasoning Twenty-Five --computation (+ & - ) Contigo --computation, logical reasoning Games Evil Eye --Multiplication, addition, probability Golf --Logical reasoning, mental math, addition, integers, Digit Place --Logical reasoning, probability, algebraic thinking Game Accountability • Reflection Sheets • Organizational Systems --folders, crates, binders, etc. • Rubrics for academics and behavior • Tracking sheets Writing In Mathematics Responding to Constructed Responses Explaining Solutions Think-Write-Pair-Share Eliminate and Justify 3-2-1 Template on the website! Writing in Math Solution Sentences: First, Next, Then . . . Restate question Finally my answer is . . . Writing in Math Writing as an objective Simple Math so focus can be on writing Test format Writing rubric Specific feedback Projects Half-Size/Quarter-Size Me Subdivision Surface Area Dream House Math Curse Numbers in My Life Mathographies Characteristics of Numbers Book Likelihood Lines Others??? Homework Use it or Lose it One Question from each standard each week (6 problems a week, due on Friday) Easy to grade Easy to cycle No drill and kill Realistic Expectations Easy to differentiate The C.O.W. Assessment Formative --Ongoing --CAT scan (time to find, diagnose and fix) Summative --End Evaluation --Autopsy (too late to do anything) Assessment Response Cards Continuum Self-Reflection Rubrics and Checklists (Number book & Likelihood Line) Stars and Steps (Modeled on Mathography) Stiggins’ Skills (What do I need to learn?) Growth Graphs (Whole Class & Individual) Letters to the Teacher Planning for State Assessment Grade Level Content Test Format Opportunities to “explain” Samples available on the website! Pacing and Planning Vocabulary Content from curriculum Assessments Pacing can be data driven or curriculum driven: This example was data-decided and each year the big ideas could shuffle depending on current results. The Next Step in Planning What’s actually being used to teach the content? Curriculum Mapping: Putting the pacing map into action with more detail, but focusing on the “essentials” Work Time --Plan for a warm up, new homework assignment, game, project, assessment, that you’re going to try. --What do you need to do to make it happen? Round Table Think-Pair-Share Other warm ups, games, projects, opportunities to write, assessment strategies, etc. that you do that someone else might like to try! One Last Activity . . . Cards to inspire thinking . . . Try these . . . Questions ? ? ? ? Comments . . . . Concerns ! ! ! ! Workshop Evaluation STARS: Compliments, things that were particularly useful, things you appreciated STEPS: Critiques, things that could be improved for another workshop, suggestions for modifications Paperwork & Cleanup • Evaluation on “Parking Lot” • Make sure information is on sign-in sheet • Pick up OPI renewal unit sheet • Supplies in tubs—THANKS!!