Redwood Middle School Mathematics Courses, Pathways, and Placement Process Parent Information For 6th & 7th Grade Parents February 8 & 9, 2017 DRAFT 2.10.17 1
Welcome & Introductions ● ● Setting the Context ● SUSD Math Learning Progressions: Pathways ○ ○ Courses Prerequisite Knowledge and ○ Standards Presentation Acceleration ○ ● SUSD Math Placement Process: Overview ○ Overview Part A ○ ○ Part B Criteria ○ ○ Timelines Q&A (questions taken on notecards) ● DRAFT 2.10.17 2
Philosophy of Teaching Math Connections & K- 12 Coherence & SMP Coherence Middle School Instructional Materials SUSD- SHS Collaboration DRAFT 2.10.17 3
SUSD’s Philosophy of Mathematics Instruction Student enjoyment and challenge ● Balanced approach to instruction and higher order thinking problems ● ● Opportunities for both explicit direct instruction and hands-on learning ● Typical lesson structure includes: student-directed discovery learning ○ enhanced conceptual understanding ○ ○ teacher-directed instruction ○ student opportunity to develop clear, precise mathematical language ○ differentiated, independent practice with teacher feedback DRAFT 2.10.17 4
Three Major Features of Mathematics Instruction 1. Focus on fewer topics to help students go deeper in their learning 2. Coherence – or interconnection – to link topics and thinking strategies across the grades to help students make important connections, recognize patterns 3. Rigor -- What do we mean by rigor? Rigor calls for a strong command of math concepts to help students with understanding, skills and application of mathematics to real-world uses DRAFT 2.10.17 5
Coherence: Think Across Grade Levels DRAFT 2.10.17 6
Standards for Mathematical Practices DRAFT 2.10.17 7
Big Ideas Mathematics Instructional Materials ● Student-directed discovery learning allows students to develop conceptual understanding, followed by scaffolded instruction, giving students the opportunity to utilize clear, precise mathematics language and structure. ● Highly motivating and relevant problems at an appropriate level of depth and rigor for each student. ● Researched-based strategies to specifically assist English language learners . Supports Differentiated Instruction through print and digital resources to challenge ● and motivate each student with high-quality instruction targeted to individual needs. ● Real-life applications are opportunities for students to connect classroom lessons to realistic scenarios in engaging and meaningful ways to explore the real world. DRAFT 2.10.17 8
SUSD & SHS Collaboration ● SUSD and SHS academic counselors, math teachers, and administrators discuss and plan: pathways ○ ○ Student enrollment and performance data ○ transition course content ○ scope and sequence ○ ○ articulation of standards DRAFT 2.10.17 9
SUSD Math RMS Math Course Descriptions Learning RMS Math Prerequisites Progressions Standards for Mathematics Practice Courses with standards on each Pathway Acceleration & Compaction DRAFT 2.10.17 10
7th Grade : 8th Grade: 6th Grade : Exhibit A Board Approved 12.15.16
RMS Math Courses Course Description CCSS 6 Grade level course (6th Grade) : ratios and proportional relationships, number system, expressions and equations, statistics, and geometry; 8 Standards of Mathematical Practice (SMP) CCSS 6/7A Compacted course comprising CCSS 6 standards and partial CCSS 7 (integer operations; rational numbers; percents; proportions; two-step equations; 8 SMP) CCSS 7 Grade level course (7th Grade) : integer operations, rational numbers, percents, proportions, two-step equations, two-step inequalities, constructions and scale drawings, area of circles and composite shapes, surface area & volume (prisms & cylinders), probability and statistics; 8 SMP CCSS 7B/8 Compacted course comprising CCSS 8 standards and partial CCSS 7 (two-step inequalities; constructions and scale drawings; area of circles and composite shapes; surface area & volume (prisms & cylinders); probability and statistics; 8 SMP) CCSS 8 Grade level course (8th Grade) : multi-step equations, equations with variables on both sides, transformations, angles and triangles, graphing & writing linear equations, systems of linear equations, functions, real numbers, Pythagorean Theorem, volume and similar solids, 12 data analysis and displays, exponents and scientific notation; 8 SMP DRAFT 2.10.17
RMS Math Courses (cont’d) Course Description CCSS Algebra 1 High school level course: solve linear equations: solving linear inequalities; graphing and writing linear equations; systems of linear equations & inequalities; exponential functions and sequences; polynomial equations and factoring; graphing & solving quadratic functions; radical functions and equations; data analysis and displays; 8 SMP CCSS Geometry High school level course : reasoning and proofs; parallel and perpendicular lines; transformations; congruent triangles; relationships within triangles; quadrilaterals and other polygons; proving similarities; right triangles and trigonometry; circles, area and volume;expressing geometric properties w/equations; similarity, right triangles, and trigonometry; geometric measurement and dimension; modeling with geometry, 8 SMP DRAFT 2.10.17 13
RMS Math Courses (cont’d) Course Description Math Essentials RSP Math Class (RSP = Resource Specialist Program) Math Basics SDC Math Class (SDC = Special Day Class) Course Description CCSS 6 Math Advisory Support Class for CCSS 6 for 6th graders (A period) CCSS 7 Math Advisory Support Class for CCSS 7 for 7th graders (A period) CCSS 8 Math Advisory Support Class for CCSS 8 for 8th graders (A period) DRAFT 2.10.17 14
Grade Level (State Standards) Course Pathway 6th grade: CCSS 6 > 7th grade: CCSS 7 > 8th grade: CCSS 8 Numerical Expressions and Factors Integer Operations Multi-Step Equations Fractions and Decimals Rational Numbers Equations with Variables on Both Sides Algebraic Expressions and Properties Percents Transformations Areas of Polygons Proportions Angles and Triangles Ratios and Rates Two-Step Equations Graphing & Writing Linear Equations Integers and the Coordinate Plane Two-Step Inequalities Systems of Linear Equations Equations and Inequalities Constructions and Scale Drawings Functions Surface Area and Volume of Prisms Area of Circles and Composite Shapes Real Numbers Statistical Measures Surface Area & Volume (Prisms & Pythagorean Theorem Data Displays Cylinders) Volume and Similar Solids Probability and Statistics Data Analysis and Displays Exponents and Scientific Notation Students who need extra support in their grade level math class can take a math support class. Concepts are both pre-taught and retaught as is appropriate for students’ needs. Anticipated placement in SHS in 9th grade: Algebra 1 DRAFT 2.10.17 15 Anticipated placement in 12th grade: Pre-Calculus
Compacted/Accelerated Course Pathway 6th grade: CCSS 6/7A > 7th grade: CCSS 7B/8 8th grade: CCSS Algebra 1 > ● All CCSS 6 standards AND: ● All CCSS 8 standards AND: ● Solve Linear Equations ● Integer Operations ● Two-Step Inequalities ● Solving Linear Inequalities ● Rational Numbers ● Constructions and Scale ● Graphing and Writing Linear ● Percents Drawings Equations ● Proportions ● Area of Circles and Composite ● Systems of Linear Equations & ● Two-Step Equations Shapes Inequalities ● Surface Area & Volume (Prisms ● Exponential Functions and Sequences & Cylinders) ● Polynomial Equations and Factoring ● Probability and Statistics ● Graphing & Solving Quadratic Functions ● Radical Functions and Equations ● Data Analysis and Displays Anticipated placement in SHS in 9th grade: Geometry or Enriched Geometry Anticipated placement in 12th grade: Calculus DRAFT 2.10.17 16
Compacted/Accelerated Course Pathway > 7th grade: CCSS Algebra 1 8th grade: CCSS Geometry 6th grade: CCSS 7B/8 > ● Solve Linear Equations ● Reasoning and Proofs ● All CCSS 8 standards AND: ● Solving Linear Inequalities ● Parallel and Perpendicular Lines ● Two-Step Inequalities ● Graphing and Writing Linear ● Transformations ● Constructions and Scale Equations ● Congruent Triangles Drawings ● Systems of Linear Equations & ● Relationships Within Triangles ● Area of Circles and Inequalities ● Quadrilaterals and Other Polygons Composite Shapes ● Exponential Functions and ● Proving Similarities ● Surface Area & Volume Sequences ● Right Triangles and Trigonometry (Prisms & Cylinders) ● Polynomial Equations and ● Circles, Area, and Volume ● Probability and Statistics Factoring ● Expressing Geometric Properties w/ ● Graphing & Solving Quadratic Equations Functions ● Similarity, Right Triangles, and ● Radical Functions and Equations Trigonometry ● Data Analysis and Displays ● Geometric Measurement and DImension ● Modeling with Geometry Anticipated placement in SHS in 9th grade: Algebra 2 Honors Anticipated placement in 11th grade : Calculus (followed in 12th grade by AP Statistics or Advanced Math at West Valley) 17 DRAFT 2.10.17
RMS Math Course Prerequisite Knowledge http://www.saratogausd.org/curriculum DRAFT 2.10.17 18
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