Irvine Parent Educ. Program Workshop K-12 Mathematics Pathways Jan. - - PowerPoint PPT Presentation

Irvine Parent Educ. Program Workshop K-12 Mathematics Pathways

• Jan. 17, 2017

http://iusd.org/education_services/math-pathways/

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Executive Summary: CA Math Framework, p. 2 | CA CCSS Mathematics, 2013

Rigor

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

IUSD Achievement Level Descriptors, K-12 | CA Assessment of Student Performance and Progress System (CAASPP)

Spark Curiosity and Wonder: Grades K-2

Video: Skip Counting With Counting Collections | Achieve the Core: Math Focus by Grade Level, K-8

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)

Notice, Conjecture, Generalize: Grades 3-5

Video: Number Talks, Preparation for Fraction Multiplication | Achieve the Core: Math Focus by Grade Level, K-8

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

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

Video: Ratios & Proportional Relationships | Achieve the Core: Math Focus by Grade Level, K-8

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

Apply Understanding of Proportional Reasoning to Solve Linear Equations: Grade 8

Video: Conjecturing About Functions | Achieve the Core: Math Focus by Grade Level, K-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

Mathematically Literate Across Disciplines- Ready for College and Career: High School

Video:Application of Trigonometry in Flight | High School Mathematics Standards, Integrated Pathway, p. 85 - 117

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

• f others

Course Descriptions | IUSD Secondary Math Pathway

Multiple Acceleration Points

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