MELT: Fraction, Ratio, Proportion and Geometry

Slides:

Advertisements

Similar presentations

Common Core Standards, K – 12 Kentucky Core Academic Standards Mathematics 1.

Advertisements

Modifying Assessment Items What is the concept/skill being assessed? How could a test item writer ask this in a TEI format? What types of classroom activities.

Strengthening Mathematics Instruction Cognitive Complexity and Instructional Strategies Dr. Vicki Jim

Congruency to Math Standards How do we successfully monitor and support our teachers when we can’t be an expert in every content area?

Feeling at Home With Geometry by: Angelique Curtis and Brittany Brooks This is a house on Tompkins Street in Cortland, NY.

CN #3 Ratio and Proportion

Finding Area and Perimeter

Finding Surface Area Math 6. Objectives 1- Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find.

Kindergarten Math Curriculum and Resource Parent Night Diana Garaitonandia, Ed.D. Louise Kirsh Susan Alloway Mandi Cooper.

1 Mathematics Tasks for Cognitive Instruction Based on research from the Quasar Project found in Implementing Standards-Based Mathematics Instruction:

Module 8 Lesson 7 & 8.

Providing All Students with Access to High Quality Mathematics Instruction: The Role of Tasks in Achieving Equity Peg Smith University of Pittsburgh Teachers’

March 19, Elementary Principals Mathematics Update Velvet M. Simington K-12 Mathematics Program Manager ,

VCLA. What is our purpose? Questions: Do you believe that students need opportunities to take risks, struggle, make mistakes and work in self-directed.

1 Improving Teaching and Learning Through Questioning Lee Ann Pruske Bernard Rahming Rosann Hollinger Sharonda M. Harris March 16 & 18, 2010 MTL Meeting.

Materials Beliefs Cut-up beliefs Answer key Adjusting support tool Tasks activity Martha’s carpeting problem (on ppt) Fencing problem (labels) 3-5 tasks.

Exploring Cognitive Demands Part 2 Rosann Hollinger Lee Ann Pruske Sharonda M. Harris Bernard Rahming January 20, 28, 2010 Math Teacher Leader Meeting.

Algebraic Reasoning Content Academy—Grade 5 Round Rock ISD Learning by Doing® Sami Briceño.

Math & Science Collaborative Analyzing Mathematical Tasks and the Mathematical Task Framework.

CAAT Follow Up Meeting #1 Clay County High School Clay County Middle School.

Putting the Common core math standards into action

Tangrams Learning Objectives

Unit 5 PowerPoint Presentation Victoria Bell-Netzelman July 2011 – EDUC 5131.

Geometry March 19 th Launch Find the area of the green square, and the inscribed blue triangle. Show all of your work! What is the formula for the area.

Area of a Rectangle A=LW Length times Width Length width = 20 cm =12 cm A=20 12 A=240 cm 2.

Unit 1: Perimeter and Area. MFM1P Lesson 1: Perimeter and Area of Basic Shapes Learning Goals: I can determine the perimeter of a variety of shapes I.

Practice with Perimeter & Area. Area of a Rectangle 3” 4” units 4 units 12 square units in the rectangle 3” or 3 units on top (width) 4” or 4 units.

Analyzing Mathematical Tasks. Developed under the auspices of the NSF-funded ESP Project (ESI ) -- Directed by Margaret Smith, University of.

Amy Jones Lewis November 2010 Green River Regional Educational Cooperative MathPLUS Content Day 1: Student-Centered Problem Solving.

Mt. Olive Elementary School February 9, 2015 Joyce Bishop, Ph.D.

Practice with Perimeter & Area

HSTW MMGW/TCTW Southern Regional Education Board Numeracy Across the Curriculum Friday, July 17, 2015 Jason Adair Amanda Merritt.

Getting to Know Webb’s. Webb’s Depth of Knowledge Level One (recall) requires simple recall of such information as fact, definition, term, or simple procedure.

Bell-Ringer – 14 DAYS TILL TCAP! Show extended form and solve: A) 1 ⁴ B) 2⁵ Show simplified form and solve: C) 2 x 2 x 2 D) 5 x 5 x 5 x 5 E) 3 x 3 x 3.

When you get a question right, click a shell to reveal your score.

Geometry in NZC Shape - a teaching progression Sandra Cathcart LT Symposium 2009.

Section 10.3 Polygons and Perimeter Math in Our World.

9.1 PERIMETER AND AREA OF PARALLELOGRAMS Objective: Students find the perimeter and area of parallelograms.

Math – More Area Lesson 5 – Nov 13. Review – what did we cover yesterday? Area of Rectangle = Length X Width OR Base X Height. Area of Parallelogram =

Improving Mathematical Number Sense & Technology Integration Teacher Quality Grant Peyton Forest Elementary Atlanta Public Schools Atlanta, GA July 23,

How can the examination of student/educator work be supported as a routine for continuous improvement?

Tangrams Step by Step.

Welcome! August 3, Achievement Gap vs. Opportunity Gap ”… all students need the opportunity to learn challenging mathematics from a well-qualified.

Name ____________Class_____ Date______ Area of Rectangles The ________ _ of a figure is the amount of surface it covers. It is measured in ________ __.

Tangram Activity for Area and Perimeter

Using High-Level Tasks to Become Better Mathematicians

Welcome to ….

Finding Area and Perimeter

Review January week 1.

Section 6.7: Areas of Triangles and Quadrilaterals

Common Core and PACC State Standards

Understanding Area and Perimeter

Two-Dimensional Geometry

May 10, 2013 Common Core: Are we ready? Michelle Tatrow, Joe Liberato, Tammy Schiller.

Don is carpeting his living room

Fractions and Decimals

2.6 “I can use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms.”

Area of Composite Shapes

Unit 8: MATH determine write apply The Unit Organizer

“Day D” May 2, :51 - 8:51 Exploratory 8:53 - 9:53 9: :55

Geometry Unit : Area of Trapezoids.

Shape & Space Summer Course July 2011.

Area, Surface Area, Perimeter, Volume

“Day D” May 8, :01 - 9:01 Exploratory 9: :03 10:05 -11:05

Cost of fencing.

Unit 8: MATH determine write apply The Unit Organizer

Mural Requirements Must represent a foreign holiday and be constructed solely from at least one of each of the following shapes: square, parallelogram,

CHAPTER 10 Geometry.

“Day F” May 1, :51 - 8:51 Exploratory 8:53 - 9:53 9: :55

Proportional Reasoning

Presentation transcript:

MELT: Fraction, Ratio, Proportion and Geometry Day 2

Agenda 8:30 Welcome 8:40 Developing Geometric Thinking Debrief 9:15 Rich Problem 9:45 First Task: Pattern Block Area/Tangram 10:00 Break 10:15 Pattern Block Area/Tangram 10:45 Cognitive Demand of a Task 11:45 Lunch 1:00 Presentation 2:30 Second Task: Build Me If You Can 4:30 Dismissal

Rich Problem The house number has three different digits. The sum of the three digits is 12. The number is larger than 480. What could the house number be? List all the possible numbers. Do you think that you found all the possible solutions? Explain why you think so.

van Hiele Levels of Instruction Mosaic

Tangram Area Construct a tangram

Tangram What relationships do you notice between the various shapes? What else can you construct?

Tangram Challenge Using just the 3 small triangles, try to make a square, a triangle, a rectangle, a trapezoid, and a parallelogram. Record your solutions on the chart. (You need to add rectangle and parallelogram to the chart. . .sorry) Can you make the same polygons using the 5 small pieces in the tangram set? Can you make the same polygons using all 7 pieces?

Tangram Area What value is there is using an activity like this with students? What mathematical vocabulary are students using as they talk with one another? What challenges would your students have with this activity? What will students need to know and be able to do before this activity? Would you use this activity as it is with your students? What changes might you make?

Cognitive Demand Ms. Alvarado’s class will raise rabbits for their spring science fair. They have 24 feet of fencing with which to build a rectangular rabbit pen to keep the rabbits. 1) If Ms. Alvarado’s students want their rabbits to have as much room as possible, how long would each of the sides of the pen be? 2) How long would each of the sides of the pen be if they had only 16 feet of fencing? 3) How would you go about determining the pen with the most room for any amount of fencing? Organize your work so that someone else who reads it will understand.

Cognitive Demand Martha was recarpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet of carpeting will she need to purchase?

Cognitive Demand

Build Me If You Can

Homework Read: Teaching Mathematics to the Preadolescent Brain.