1 / 23

ESD Math Curriculum

ESD Math Curriculum. Presentation by the District Math Committee December 2, 2010. Committee Members. Epping Elementary School Sandy Landis Deanna Mayne Epping Middle School Nancy Lehoux Kara Reynolds Epping High School Kerry McDermott Jacqui Pender District Office Lyn Healy.

clarke-forbes
Download Presentation

ESD Math Curriculum

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ESD Math Curriculum Presentation by the District Math Committee December 2, 2010

  2. Committee Members • Epping Elementary School • Sandy Landis • Deanna Mayne • Epping Middle School • Nancy Lehoux • Kara Reynolds • Epping High School • Kerry McDermott • Jacqui Pender • District Office • Lyn Healy

  3. Layers of Curriculum Each content area will have: • a stated philosophy • stated goals • a diagram outlining the important concepts in their discipline • a section on metacognition – “As a mathematicitian this is how I think.” • a sequence from PK-12

  4. Layers of Curriculum Each grade level will have: • a chart of key concepts • vocabulary defined • “I can” statements so that students know what they should be able to do!

  5. PHILOSOPHY FOR MATHEMATICS Draft • The Epping School District believes that mathematics can and must be learned by all students. • We strive to offer a learning environment that fosters habits of deliberation, orderliness, analytical thinking, logical reasoning, problem-solving, perseverance and an appreciation for the precision of mathematics. • We show students the real life applications of mathematics so that they will graduate with the mathematical knowledge and skills to be college and career ready.

  6. GOALS FOR MATHEMATICSAll students will develop • number sense and computational fluency • basic understanding of key concepts in geometry, algebra, probability, and data analysis while appreciating the interrelationships of all areas of mathematics. • strong problem solving and reasoning abilities. • ability to use appropriate technology to solve mathematical problems. • ability to communicate their understanding of mathematics effectively. • ability to apply mathematics to the 21st century interdisciplinary themes.

  7. Number and Quantity Number Sense Computational Fluency Estimation Algebra and Functions Patterns Relationships Applications • Mathematical Processes: • Representing and Communicating Mathematical Thinking • Problem Solving • Connections outside of mathematics • Reasoning and • Proof • Modeling Geometry and Measurement Geometric Figures Applications Relationships Measurement and Application Data Analysis, Probability and Statistics Data Organization Data Analysis Probability

  8. Number and Quantity Number Sense Understand numbers and various ways of representing them. Understand relationships among numbers and number systems Computational Fluency Solve problems using the relationships among operations and knowledge about the base ten system Estimation Use estimation skills to solve problems and check reasonableness of solutions

  9. Algebra and Functions Patterns Recognize, generate and analyze patterns Relationships Express relationships verbally, symbolically, graphically or as a table of values Analyze change in various contexts Applications Use algebraic representations to solve problems, make predictions, draw conclusions, with and without technology

  10. Geometry and Measurement Geometric Figures Analyze characteristics and properties of two and three dimensional shapes Applications Reason and solve problems with shapes and their attributes Relationships Develop mathematical arguments about geometric relationships Measurement and Application Understand measurable attributes of objects

  11. Data Analysis Probability and Statistics Data Organization Collect, organize and display data using appropriate statistical and graphical methods Data Analysis Formulate questions and analyze data sets to form hypotheses and make predictions Probability Understand and apply basic concepts of probability Use probability to make decisions

  12. Mathematical Processes: • Representing and Communicating Mathematical Thinking • Problem Solving • Connections outside of mathematics • Reasoning and • Proof • Modeling/Representing

  13. How Do Mathematicians Think? Problem Solving • What do I see or visualize when I look at this problem? • What information do I have? What information do I need? How do I get that information? • What strategy do I use to solve the problem? What strategies do others use? What strategy would be best? • What do I do when I get stuck? • What common mistakes do people make when working with this type of problem? What is the misunderstanding that causes the mistake?

  14. How Do Mathematicians Think? Connections • Have I seen this before? How does that connection help? • Where do I recognize and apply mathematics in my life?

  15. How Do Mathematicians Think? Reasoning and Proof • Does my answer or solution make sense? How do I prove it? • Is there a pattern or rule? What is it? Does it always work?

  16. How Do Mathematicians Think? Representation • How do I best show my thinking?

  17. learner strategies • Draw a diagram • Make a table or t-chart • Look for patterns • Solve a simple similar problem • Write and solve an equation • Make connections to prior knowledge • Use literacy skills of determining importance, questioning, making inferences, making predictions • Conduct experiments • Conjecture (generalizing or educational guessing) and check guesses • Estimate

  18. Grades K-5 Topic Sequence

  19. Grades 6-8 Topic Sequence

  20. Sample Sequence:Number Operations • K – composing and decomposing numbers; addition and subtraction • 1 – addition and subtraction • 2 – addition and subtraction • 3 – multiplication and division • 4 – multiplication and division • 5- using operations on decimals

  21. Sample Grade Level Information: Grade Six – Ratios and ProportionalRelationships • Key Concepts: • Ratio Concept • Ratio Reasoning • Vocabulary: • Ratio • Rate • Equivalent ratios • Tape diagram • Double number line diagram • Equation • Table • Coordinate plane • Measurement units (e.g. inches, centimeters)

  22. Grade SixRatios and Proportional Relationships • I Can… • Describe a ratio using ratio language • Describe a rate that is associated with a ratio • Solve real-world ratio/rate math problems that involve: • Making tables • Plotting pairs on coordinate planes • Converting between different units • Converting between percent and rate

  23. Next Steps for the committee and for our teachers • High School Teachers are discussing their options as CCSS provide two different pathways to learning mathematics. • Middle School Teachers are working to develop key concepts, vocabulary and I can statements which lead to unit design. • Teachers in PreK- 2 will be looking at CCSS to plan their trajectories (units).

More Related