- Central Bucks School District
- Elementary Mathematics Overview
Welcome to the CBSD Elementary Mathematics Website
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Children come to school with a myriad of informal mathematical experiences which bear witness to their enthusiasm and curiosity in the mathematics classroom. As active learners, children continually seek to make sense of what is presented. Ultimately, they construct a personal theory about what mathematics is and what it means to do mathematics.
The teaching and learning of mathematics begins in a math rich environment. The activities, tasks, and discourse provide a framework for the development of mathematical power in all learners. Mathematical power (NCTM, 2000) is unmistakable in learners that exhibit conceptual and procedural understandings. It is evident in learners that can communicate mathematically. Mathematical power is apparent in learners who can reason logically, problem solve, and exhibit a disposition to persevere with real-life problem solving situations.
The Central Bucks School District math curriculum aims for mathematical power in all students and addresses the Pennsylvania and Central Bucks Mathematics Standards. Our courses of study actively engage learners in this pursuit. We pull from a variety of resources to teach our curriculum, but the resources our teachers use the most are from the Everyday Math Program. If you are interested in learning more about the program please visit the Everyday Math website ( http://everydaymath.uchicago.edu/ ). You will find a variety of information to help you understand the resources better. You will notice that your child will learn a variety of algorithms for addition, subtraction, multiplication and division including the traditional U.S. algorithms. Information on the non-traditional algorithms your child will be studying, including examples, is available on the Everyday Math Website ( http://everydaymath.uchicago.edu/educators/computation/ ). Students are heterogeneously grouped for mathematics throughout 4th grade. Enrichment is provided regularly through differentiated instruction in the classroom. A pull out enrichment group provided by our PEN teachers is available in 4th grade (see the 4th grade curriculum page for more details). An accelerated class is offered in both 5th and 6th grade (see the 5th and 6th grade curriculum pages for more details).NEW 2017-2018: Fact Fluency Report Card Descriptor
Starting in the 2017-2018 school year, there will only be one descriptor on the report card, grades 1 - 4, related to fact fluency. The expectation for each grade is listed below.
Students are expected to reach the mastery score in XtraMath that is listed in the table OR score the same percent correct on a 50 question paper and pencil assessment in 3 minutes for each of the given operations in the table.
94 – 100 XtraMath Mastery Score is equivalent to 47 – 50 correct out of 50 problems in 3 minutes; 80 – 93 XtraMath Mastery Score is equivalent to 40 – 46 correct out of 50 problems in 3 minutes; 50 – 93 XtraMath Mastery Score is equivalent to 25 – 46 correct out of 50 problems in 3 minutes; 50 – 79 XtraMath Mastery Score is equivalent to 25 – 39 correct out of 50 problems in 3 minutes; < 50 XtraMath Mastery Score is equivalent to < 25 correct out of 50 problems in 3 minutes.
Grade
Descriptor
Trimester 1
Trimester 2
Trimester 3
1st
Meets Grade Level Fact Fluency Goal
Meeting: Student is working on solving problems involving addition facts during their daily lesson and practice
Limited Progress: Student is not working on solving problems involving addition facts during their daily lesson and practice
Exceeding: 94 - 100 Mastery score in Addition
Meeting: 50 – 93 Mastery Score in Addition
Approaching: Student is working regularly on their Addition facts and some progress is being made on fact mastery.
Limited Progress: Student is not working on their Addition facts the expected number of times per week and progress is not being made on mastery of facts.
Exceeding: 94 - 100 Mastery score in Addition and working regularly on subtraction facts
Meeting: 94 - 100 Mastery score in Addition
Approaching: 50 – 93 Mastery score in Addition
Limited Progress: < than 50 Mastery score in Addition
2nd
Meets Grade Level Fact Fluency Goal
Exceeding: 0-49 Mastery Score in Subtraction and 94 - 100 Mastery score in Addition
Meeting: 94 - 100 Mastery score in Addition and working regularly on subtraction facts
Approaching: 50 – 93 Mastery Score in Addition
Limited Progress: < than 50 Mastery score in Addition
Exceeding: 50-93 Mastery Score in Subtraction and 94 - 100 Mastery score in Addition
Meeting: 94 - 100 Mastery score in Addition and 0-49 mastery score in subtraction facts
Approaching: 50 – 93 Mastery Score in Addition and working regularly on subtraction facts
Limited Progress: < than 50 Mastery score in Addition, and not working regularly on subtraction facts
Exceeding: 94 - 100 Mastery score in Addition and Subtraction
Meeting: 50 – 93 Mastery Score in Subtraction, 94 – 100 Mastery score in Addition
Approaching: 50 – 93 Mastery score in both Addition and Subtraction
Limited Progress: < than 50 Mastery score in either Addition or Subtraction
3rd
Meets Grade Level Fact Fluency Goal
Exceeding: 50 – 93 Mastery Score in Multiplication, 94 - 100 Mastery score in Addition and Subtraction
Meeting: 94 – 100 Mastery score in Addition and Subtraction and working regularly on multiplication facts
Approaching: 50 – 93 Mastery score in either Addition or Subtraction
Limited Progress: < than 50 Mastery score in either Addition or Subtraction
Exceeding: 94-100 Mastery score in Addition, subtraction, and multiplication
Meeting: 50-93 Mastery Score in Multiplication and 94-100 Mastery score in Addition and subtraction
Approaching: 94-100 in addition and subtraction and less than 50% Mastery score in multiplication
Limited Progress: Less than 94 Mastery score in either addition or subtraction
Exceeding: 94 - 100 Mastery score in all operations
Meeting: 50 – 93 Mastery Score in Division, 94 – 100 Mastery score in all remaining operations
Approaching: Less than 94 Mastery score in 2 or more operations with no operations < than 50 mastery score
Limited Progress: < than 50 Mastery score in any operation
4th
Meets Grade Level Fact Fluency Goal
Exceeding: 94 - 100 Mastery score in all operations
Meeting: 70 – 93 Mastery Score in Division, 94 – 100 Mastery score in all remaining operations
Approaching: Less than 94 Mastery score in 3 or more operations with no operations < than 50 mastery score
Limited Progress: < than 50 Mastery score in any operation
Exceeding: 94 – 100 Mastery Score in all operations by end of 2nd trimester and has retained their knowledge of their facts through end of year.
Meeting: 70-93 Mastery Score in all operations
Approaching: 50 – 69 Mastery Score in any operation
Limited Progress: < 50 Mastery Score in any operation
Exceeding: 94 – 100 Mastery Score in all operations by end of 2nd trimester and has retained their knowledge of their facts through end of year.
Meeting: 94 - 100 Mastery Score in all operations
Approaching: 50 – 93 Mastery Score in any operation (all operations should be greater than 93 by end of year in 4th grade)
Limited Progress: < 50 Mastery Score in any operation