introduction to curriculum 2.0 the mcps k – 12 math program

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Introduction to Curriculum 2.0 The MCPS K 12 Math Program Julius West Middle School April 8, 2014

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Julius West Middle School April 8, 2014. Introduction to Curriculum 2.0 The MCPS K – 12 Math Program. Math Program Goals. Develop students who value math and see it as useful to solving problems and making sense of the world. - PowerPoint PPT Presentation

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Page 1: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Introduction to Curriculum 2.0

The MCPS K – 12 Math Program

Julius West Middle SchoolApril 8, 2014

Page 2: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Math Program

G

oals

Develop students who value math and see it as useful to solving problems and making sense of the world.

Engage all students in experiences that help them reach proficiency (UCARE).

Ensure that all students master the knowledge, skills, and understanding necessary to be college and career ready.

Prepare students with the desire and skills necessary to have the opportunity to take Advanced Placement (AP) or other college-level math courses in high school.

Page 3: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Building a Stronger FoundationStandards for Mathematical Practice

Page 4: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Going Deep in MathematicsDefining Proficiency

Understanding

Computing

Applying Reasoning

Engaging

Comprehending Concepts, Operations, & Relations

Carrying out procedures

Formulating and solving mathematical problems

Using logic to explain a solution

Seeing math as sensible, useful, and doable

Page 5: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Courses That Lead To College and Career Readiness

* Including MCPS enrichment and acceleration opportunities** Investigations in Math*** Advanced Placement Calculus, Advanced Placement Statistics, or other college-level courses

Page 6: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

2001 Math Program 2012 Math Program

Backmapped from AP Aligned to internationally driven standards

Broad focus—multiple topics per grade/course

More focused—fewer topics per grade/course

Emphasis on covering content—pacing

Emphasis on deep understanding—proficiency

Topics repeated yearly—spiraling

Topics taught to mastery— increased depth and application

Acceleration by grade-level skipping—driven by targets

Acceleration/Enrichment—based on individual student needsEmphasis on student engagement and project-based learning

Page 7: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Current MCPS CurriculumNumberAlgebraGeometryMea-sure-mentStatisticsProbability

Perc

ent o

f Con

tent

Final Common Core Standards

NumberAlgebraGeometryMea-sure-mentStatisticsProbability

Perc

ent o

f Con

tent

MCPS and Common Core Strand Comparison

Page 8: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

JWNinth GradeSixth Grade Seventh Grade Eighth Grade

Math 6

2.0

Math 72.0

Math 82.0

I M

I M2.0

Compacted 7/8

Algebra 1 2.0

Algebra 1 2.0

Honors Geometr

y 2.0

Mathematics Offerings For Current 5th graders

Algebra 1 2.0

Honors Geometr

y 2.0

Honors Algebra

2

Geometry

Algebra 1 with

Related

Page 9: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

HOW DOES THE ROLLOUT PLAN AFFECTCURRENT GRADE 6 (2013–2014) Students?

Courses that will

phase out

C2.0 Courses that will phase in

Courses Remaining

5 6 7

C2.0 Alg.1

C2.0Geo

C2.0Alg.2

C2.0 Pre Calc AP6 7 IM

7 Alg. P

C2.0Pre Calc

5 6 7 8 9 10 11 12

7 IM C2 P.Cal AP APIM C2Alg1 C2Geo. C2Alg2 C2 P.Cal AP AP MVC

C2Alg1 C2Geo. C2Alg2

C2.0Alg.1

C2.0Geo

C2.0Alg.2

Prep Plus

Page 10: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Courses that will

phase out

C2.0 Courses that will phase in

Courses Remaining

HOW DOES THE ROLLOUT PLAN AFFECTCURRENT GRADE 7 (2013–2014) STUDENTS?

6 7

C2.0 Alg.1

C2.0Geo

C2.0Alg.2

C2.0 Pre Calc AP7 IM

7 Alg. P

C2.0Pre Calc

6 7 8 9 10 11 12

IM C2 P.Cal AP APAlg.1 Geo Alg.2 P.Cal AP AP MVC

6

C2.0 Alg.1

C2.0 Geo

C2.0 Alg.2

C2 Alg1 C2 Geo C2 Alg2

Prep Plus

Page 11: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Curriculum 2.0Key Messages

Conceptual understanding facilitates the acquisition of procedural fluency.

The goal when working with operations is fluency with understanding.

The mathematical expectations within the C2.0/CCSS mathematics indicators require a deeper understanding by both teachers and students.

Page 12: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Curriculum 2.0Shift from Information Transmission Model to Comprehensive Mathematics Instruction Model

Page 13: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Topics of Study in Math 6 2.0: * Ratios and Proportional RelationshipsUnderstand ratio concepts and use ratio reasoning to solve problems. The Number SystemApply and extend previous understandings of multiplication and division to divide fractions by fractions.Multiply and divide multi-digit numbers and find common factors and multiples.Apply and extend previous understandings of numbers to the system of rational numbers. Expressions and EquationsApply and extend previous understandings of arithmetic to algebraic expressions.Reason about and solve one-variable equations and inequalities.Represent and analyze quantitative relationships between dependent and independent variables. GeometrySolve real-world and mathematical problems involving area, surface area, and volume. Statistics and ProbabilityDevelop understanding of statistical variability.Summarize and describe distributions.  * The topics of study listed above may not necessarily be taught in the order listed.

Page 14: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

C2.0 Algebra 1Structure

Unit 1: Relationships between Quantities and Reasoning with Equations

Unit 2: Linear and Exponential Relationships

Unit 3: Descriptive Statistics Unit 4: Quadratic Relationships Unit 5: Generalizing Function Properties

Page 15: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Assessing the New Standards

Maryland is a member of a test development consortium of states––the Partnership for Assessment of Readiness for College and Careers (PARCC).

The PARCC assessments will replace the MSA in Grades 3–8 and the Algebra 1 HSA. PARCC also will have a Geometry and Algebra 2 assessment.

The baseline year of assessment is planned for 2014-2015. PARCC assessments are expected to be more challenging than MSA

and HSA. Learn more and see examples of test questions:

www.parcconline.org/

Page 16: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Compare MSA to PARCC Questions

Grade 5 MSA Question

Page 17: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Compare MSA to PARCC Questions

This PARCC item measures understanding of the same concept a grade earlier (Grade 4) and with greater depth

Page 18: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

Compare HSA to PARCC Questions

HSAAlgebra

Page 19: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

PARCC Algebra 1

Page 20: Introduction to Curriculum 2.0 The  MCPS  K  –  12 Math Program

As always, we want our students to question what we tell them, not just accept it.