Irvine Parent Educ. Program Workshop K-12 Mathematics Pathways Jan. 17, 2017 http://iusd.org/education_services/math-pathways/ Click hyperlinks throughout this presentation to explore additional resources
Rigor Executive Summary: CA Math Framework, p. 2 | CA CCSS Mathematics, 2013
Website: Which One Doesn’t Belong (Shapes, Numbers, Graphs, Incomplete Sets
Coherence Executive Summary: CA Math Framework, p. 3
Think Like a Mathematician Pursue with equal intensity: 1. Conceptual Understanding 2. Procedural Skills & Fluency 3. Problem Solving / Modeling & Data Analysis 4. Communicating Reasoning I USD Achievement Level Descriptors, K-12 | CA Assessment of Student Performance and Progress System (CAASPP)
Spark Curiosity and Wonder: Grades K-2 Focus Addition and subtraction – concepts, skills, and problem solving; place value Fluencies K - Add/subtract within 5 1 - Add/subtract within 10 2 - Add/subtract within 100 and Single-digit sums and differences (sums from memory by end of Grade 2) Video: Skip Counting With Counting Collections | Achieve the Core: Math Focus by Grade Level, K-8
Notice, Conjecture, Generalize: Grades 3-5 Focus Mathematical Properties Multiplication and Division – concepts, skills, and problem solving; place value; Whole numbers, fractions Fluencies 3 - Add/subtract within 1000 and Single-digit products and quotients (Products from memory by end of Grade 3) 4 - Add/subtract within 1,000,000 5 - Multi-digit multiplication Video: Number Talks, Preparation for Fraction Multiplication | Achieve the Core: Math Focus by Grade Level, K-8
Middle School Mathematics Middle school mathematics is key for success for all students in preparing for future mathematics and science coursework in High School. These are especially important years for students to complete developing their skills with operations on rational numbers and delve into the multiplicative thinking demanded by proportional reasoning. Proportional reasoning is the transition that links arithmetic and algebra.
Expand upon Arithmetic to Analyze and Model Algebraic Thinking: Grades 6-7 Focus Ratios and proportional relationships ; early expressions and equations. Developing understanding of relational thinking and statistical thinking Exploring quantitative relationships between dependent and independent variables. Fluencies Ratios and proportional relationships ; early expressions and equations, arithmetic of rational numbers Video: Ratios & Proportional Relationships | Achieve the Core: Math Focus by Grade Level, K-8
Apply Understanding of Proportional Reasoning to Solve Linear Equations: Grade 8 Focus Linear Algebra and Linear Functions ● Define, evaluate, and compare functions ● Use functions to model relationships between quantities ● Work with radicals and integer exponents ● Understand the connections between Proportional relationships, lines, and linear equations ● Analyze and solve linear equations and pairs of simultaneous linear equations Fluencies Solving sets of two simple equations with two unknowns by inspection Video: Conjecturing About Functions | Achieve the Core: Math Focus by Grade Level, K-8
Mathematically Literate Across Disciplines- Ready for College and Career: High School Students able to know and do mathematics by solving a range of problems drawn across content domains by engaging in mathematical Practices ● Explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency ● Solve a range of complex well-posed problems in pure and applied mathematics, making productive use of knowledge and problem solving strategies ● Analyze complex, real-world scenarios and can construct and use mathematical models to interpret and solve problems ● Clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others Video:Application of Trigonometry in Flight | High School Mathematics Standards, Integrated Pathway, p. 85 - 117
Multiple Acceleration Points Course Descriptions | IUSD Secondary Math Pathway
Encourage Growth Mindset I can see a difference in this work compared to . You have really grown (in these areas). OK, so you didn’t do as well as you wanted to. Let’s look at this as an opportunity to learn… I expect you to make some mistakes. It is the kinds of mistakes that you make along the way that tell me how to support you. Growth Mindset Feedback Tool
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