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Spring 2017 PVPUSD Mathematics Acceleration Criteria Advancement on the mathematics course sequence will be determined by meeting any two of three criteria The recommendation process will be completed by April 30, 2017 Students entering grades 6-8 who do not meet the criteria for acceleration and choose to enroll in an accelerated course must fill out a Request for Placement Form need a link to this form
Transition Year6 School
Recommendation
Report Card Math Grades
Trimesters 1 and 2
End of Trimester 2 Cumulative Summative Assessment ¹
Grade 5 → PVCM 6 Accel YES 4 90% + ³
PVCM 6 → PVCM 7/8 Accel YES As5 85% +
PVCM 6 Accel → PVCM 7/8 Accel YES As and Bs 85% +
PVCM 7 – Bridge4 → Algebra 1 YES As and Bs 85% +
PVCM 7/8 Accel → Algebra 1
Honors YES As and Bs 85% +
PVCM 8 → Algebra 1
Honors YES As 90% +
Grade 4 → PVCM 6 Accel YES 4 Placement Test ²
90% +
¹ Summative Assessment: Summative assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. At the end of the second trimester an assessment covering the grade level standards that have been taught will be administered to all students. The test will be administered and scored by the general education teacher over a two-day period.
² Placement Test: As a predictor of the students likely academic success in PVCM 6, the placement test will include items which cover content that will be skipped if acceleration occurs. The Grade 4 placement test will be the same as the Grade 5 summative assessment. Parents of 4th grade students will be given the option to OPT OUT of this test.
³ At the elementary level, a score of 90% + is necessary to establish readiness for acceleration by further quantifying the level of a student’s mathematical achievement.
4 The recommendation to accelerate to Algebra 1 is predicated on the expectation that the student will attend the Summer Bridge Class and attain a score of 85% + on the summative assessment at the end of Summer Bridge Class. The content of the Summer Bridge Class is the additional content that is taught in PVCM 7/8 Accelerated and is not covered in PVCM 7. PVPUSD will offer the Summer Bridge Class at no cost to families. The class will be instructed by a PVPUSD mathematics teacher. The location has yet to be determined, but the class will be 4 hours a day and offered during the same summer school period as the Peninsula Education Foundation Intermediate Summer School.
5 Evidence of a strong foundation in mastery of the PVCM 6 content is necessary to ensure a successful transition to the accelerated PVCM 7/8 course. 6 The spring 2017 PVPUSD Mathematics Acceleration Criteria addresses:
Transitioning from a grade level math sequence to an accelerated math sequence [Green]
Maintaining placement in an accelerated math sequence [Blue]
View all possible PVPUSD math sequences here [ link to website]
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
Grade 4 Mathematics Placement Assessment
Format: This placement assessment overs fifth grade content that will be skipped if double acceleration occurs and is a two‐day assessment that will occur in all fourth grade mathematics classrooms districtwide. Part 1 of the assessment will include 10 short answer questions and 2 extended response questions. Part 2 of the assessment will consist of 30 multiple‐choice questions. Content: Below is a list of standards that may be covered on this assessment. Additional information about each of the standards listed below can be found on pages 34‐39 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf
Domain Cluster Standard Operations and Algebraic Thinking (5.0A)
Write and interpret numerical expressions 5.OA.1 5.OA.2‐2.1
Number and Operations in Base Ten (5.NBT)
Understand the place value system 5.NBT.1 5.NBT.2 5.NBT.3a‐b 5.NBT.4
Perform operations with multi‐digit whole numbers and with decimals to hundredths
5.NBT.5
5.NBT.6
5.NBT.7
Number and Operations – Fractions (5.NF)
Use equivalent fractions as a strategy to add and subtract fractions
5.NF.1
5.NF.2
Apply and extend previous understandings of multiplication and division to multiply and divide fractions
5.NF.3 5.NF.4a‐b 5.NF.5a‐b 5.NF.6 5.NF.7a‐c
Measurement and Data (5.MD)
Convert like measurement units within a given measurement system
5.MD.1
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
Grade 5 Mathematics Summative Assessment ‐ End of Trimester 2
Summative Assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. Format: This summative assessment is a two‐day assessment that will occur in all grade 5 mathematics classrooms districtwide. Part 1 of the assessment will include 10 short answer questions and 2 extended response questions. Part 2 of the assessment will consist of 30 multiple‐choice questions. Content: Below is a list of standards that may be covered on this assessment. All of the standards listed below will have been instructed in Grade 5 prior to the assessment. Additional information about each of the standards listed below can be found on pages 34‐39 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf
Domain Cluster Standard Operations and Algebraic Thinking (5.0A)
Write and interpret numerical expressions 5.OA.1 5.OA.2‐2.1
Number and Operations in Base Ten (5.NBT)
Understand the place value system 5.NBT.1 5.NBT.2 5.NBT.3a‐b 5.NBT.4
Perform operations with multi‐digit whole numbers and with decimals to hundredths
5.NBT.5
5.NBT.6
5.NBT.7
Number and Operations – Fractions (5.NF)
Use equivalent fractions as a strategy to add and subtract fractions
5.NF.1
5.NF.2
Apply and extend previous understandings of multiplication and division to multiply and divide fractions
5.NF.3 5.NF.4a‐b 5.NF.5a‐b 5.NF.6 5.NF.7a‐c
Measurement and Data (5.MD)
Convert like measurement units within a given measurement system
5.MD.1
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
PVCM 6 and PVCM 6 Accelerated Summative Assessment ‐ End of Trimester 2
Summative Assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. Format: This summative assessment is a two‐day assessment that will occur in all grade 6 mathematics classrooms districtwide. Part 1 of the assessment will include 10 short answer questions and 2 extended response questions. Part 2 of the assessment will consist of 30 multiple‐choice questions. Content: Below is a list of standards that may be covered on this assessment. All of the standards listed below will have been instructed in both PVCM 6 and PVCM 6 Accelerated prior to the assessment. Additional information about each of the standards listed below can be found on pages 40‐45 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf
Domain Cluster Standard Ratios and Proportional Relationships (6.RP)
Understanding ratio concepts and use ratio reasoning to solve problems
6.RP.1
6.RP.2
6.RP.3a‐d
The Number System (6.NS)
Apply and extend previous understandings of multiplication and division to divide fractions by fractions
6.NS.1
Compute fluently with multi‐digit numbers and find common factors and multiples
6.NS.2 6.NS.3 6.NS.4
Apply and extend previous understandings of numbers to the system of rational numbers
6.NS.5 6.NS.6a‐c 6.NS.7a‐d
Expressions and Equations (6.EE)
Apply and extend previous understandings of arithmetic to algebraic expressions
6.EE.1 6.EE.2a‐c
Reason about and solve one‐variable equations and inequalities
6.EE.6
Geometry (6.G) Solve real‐world and mathematical problems involving area, surface area, and volume
6.G.1
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
PVCM 7 Summative Assessment ‐ End of Trimester 2
Summative Assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. Format: This summative assessment is a two‐day assessment that will occur in all PVCM 7 classrooms districtwide. Part 1 of the assessment will include 10 short answer questions and 2 extended response questions. Part 2 of the assessment will consist of 30 multiple‐choice questions. Content: Below is a list of standards that may be covered on this assessment. All of the standards listed below will have been instructed in PVCM 7 prior to the assessment. Additional information about each of the standards listed below can be found on pages 46‐51 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf Domain Cluster Standard Ratios and Proportional Relationships (7.RP)
Analyze proportional relationships and use them to solve real‐world and mathematical problems.
7.RP.1
7.RP.2a‐d
7.RP.3
The Number System (7.NS) Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.1a‐d
7.NS.2a‐d
7.NS.3
Expressions and Equations (7.EE)
Use properties of operations to generate equivalent expressions.
7.EE.1
7.EE.2
Solve real‐life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.3
7.EE.4a‐b
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
PVCM 7/8 Accelerated Summative Assessment ‐ End of Trimester 2
Summative Assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. Format: This summative assessment is a two‐day assessment that will occur in all PVCM 7/8 Accelerated classrooms districtwide. Part 1 of the assessment will include 10 short answer questions and 2 extended response questions. Part 2 of the assessment will consist of 30 multiple‐choice questions. Content: Below is a list of standards that may be covered on this assessment. All of the standards listed below will have been instructed in PVCM 7 prior to the assessment. Additional information about each of the standards listed below can be found on pages 46‐56 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf Domain Cluster Standard Ratios and Proportional Relationships (7.RP)
Analyze proportional relationships and use them to solve real‐world and mathematical problems
7.RP.1
7.RP.2a‐d
7.RP.3
The Number System (7.NS)
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
7.NS.1a‐d
7.NS.2a‐d
7.NS.3
Expressions and Equations (7.EE)
Use properties of operations to generate equivalent expressions
7.EE.1
7.EE.2
Solve real‐life and mathematical problems using numerical and algebraic expressions and equations
7.EE.3
7.EE.4a‐b
The Number System (8.NS)
Know that there are numbers that are not rational, and approximate them by rational numbers
8.NS.1
8.NS.2
Expressions and Equations (8.EE)
Work with radicals and integer exponents 8.EE.1 8.EE.2 8.EE.4
Understand the connection between proportional relationships, lines, and linear equations
8.EE.5 8.EE.6
Geometry (8.G)
Understand and apply the Pythagorean Theorem 8.G.6 8.G.7 8.G.8
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
PVCM 8 Summative Assessment - End of Trimester 2
Summative Assessments are used to evaluate student learning, skill acquisition, and academic achievement at the conclusion of a defined instructional period. Format: This summative assessment is a two-day assessment that will occur in all PVCM 8 classrooms districtwide. Part 1 of the assessment will include 10 short answer/extended response questions. Part 2 of the assessment will consist of 30 multiple-choice questions. Content: Below is a list of standards that may be covered on this assessment. All of the standards listed below will have been instructed in PVCM 8 prior to the assessment. Additional information about each of the standards listed can be found on pages 52-56 of the following document: http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf
Domain Cluster Standard
Expressions and Equations (8.EE)
Understand the connection between proportional relationships, lines, and linear equations
8.EE.5
8.EE.6
Analyze and solve linear equations and pairs of simultaneous linear equations
8.EE.7a-b
8.EE.8a-c
Functions (8.F)
Use functions to model relationships between quantities
8.F.4
Geometry (8.G)
Understand congruence and similarity using physical models, transparencies, or geometry software
8.G.5
Grade 4 | Grade 5 | Grade 6 | PVCM 7 | PVCM 7/8 | PVCM 8
