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Math Mix and Match
Workshop
Eliza SorteDirector, Northwest Montana Educational Cooperative124 3rd Ave. East Kalispell, MT 59901406.752.3302elizasorte@centurytel.netwww.nwmteducationalcoop.org Password:
Introductions1)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 ItemsBathroomsBreaks—
Take a quick one now and graph in your grade level with a sticky note on the white cupboards please!
Snacks and SodaRenewal UnitsShop 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 Check2--Solve a Simpler Problem3--Make a Model4--Draw a Picture5--Use Logical Thinking6--Work Backwards7--Make a Table or a Graph8--Make a List9--Find a Pattern10--Use a Formula
Warm-Ups that Work
Daily Graph InMaterials:
MAGNETIC BUSINESS CARD (only if you have a magnetic board)
STICKY NOTESInstruction 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:PAPERNUMBERSInstruction 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 ChallengeMaterials:
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 MathMaterials:
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
Estimation WandMaterials:
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
You can purchase a wand and discs at
Wal-mart in the party section—they’re considered BINGO accessories.
Warm-Ups that Work
Alphabet SoupMaterials:
ALPHABET WITH VALUESInstruction 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 HeadMaterials:
VOCABULARY WORDS ON CARDSSMALL 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 LowMaterials:
DICERECORDING SHEET
Instruction Suggestions:--Better used as a whole group
overhead activity, more than about 4 rolls
Warm Ups that WorkQuick DrawMaterialsGEOMETRIC 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?
GamesGreedy (intermediate)--probability, computation, logical reasoning
Pig (primary & intermediate)--probability, computation (+ & - ), logical reasoning
Multiplication Tic-Tac-Toe --computation (x), logical reasoning
Silent Math--quiet computation!
GamesFunction Fun--algebraic thinking, computation, logical reasoning
Twenty-Five--computation (+ & - )
Contigo--computation, logical reasoning
GamesEvil 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
Restate question
Solution Sentences: First, Next, Then . . .
Finally my answer is . . .
Writing in Math
Test format
Writing rubric
Specific feedback
Writing as an
objectiveSimple Math so
focus can be on
writing
ProjectsHalf-Size/Quarter-Size MeSubdivision Surface AreaDream HouseMath CurseNumbers in My LifeMathographiesCharacteristics of Numbers
BookLikelihood LinesOthers???
HomeworkThe C.O.W.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
Assessment
Formative--Ongoing--CAT scan (time to find, diagnose and
fix)
Summative--End Evaluation--Autopsy (too late to do anything)
AssessmentResponse CardsContinuum Self-ReflectionRubrics 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
Content from curriculum
Assessments
Vocabulary
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!!