Date: September 17-18, 2014 Lesson Focus: Unit Name: Objectives: Patterns and Sequences Demonstrating Patterns Using Multiple Representations Students will be able to find and use rules that relate independent and dependent variables or that predict change in one variable over time. ALGI.1A: Describe independent and dependent quantities in functional relationships. ALGI.1B Gather and record data and use data sets to determine functional relationships between quantities and write a general equation describing the functional relationship. TEKS Standards: Key Vocabulary: What key terms will my students need to understand? Assessment Plan: Group Activity, Homework Lesson Cycle: Engage and Connect: How will I engage my students in learning? How will I lead my students to mastery? The teacher/students will… Do First: _15__min Materials: projector, laptop What is the rule for this pattern? 5.4, 9.5, 13.6, 17.7… What are the next three numbers in the pattern? Introduce New Learning The teacher will…(I do) Explain that a pattern is an arrangement of objects that have a relationship. The DO FIRST is an example of a pattern. The relationship is that each number is 4.1 more than the previous number. Mathematics is filled with patterns. The patterns can be numerical, pictoral, or both. A sequence is a set of numbers arranged in a special order or pattern. The DO FIRST is also a sequence. _20__min Materials: Like math, life is filled with patterns. Open-Ended Question: What are some patterns that you see in everyday life? To extend a pattern, you must first find the rule of the pattern. Determine the rule by finding the relationship among the numbers or shapes. The rule must work for ALL terms in the pattern. Patterns and Linear Functions Mini-Lesson Go to GP 1 Notes on “Writing a Linear Function to Represent a Sequence” Go to GP 2 Guided Practice: The teacher/students will…(We do) _15__min Materials: GP – 1: Work through Examples 1 & 2 with students. GP – 2: Work through example with students. Independent Practice: The students will…(You do) _30_min Materials: Work on a Group Activity – Patterns and Sequences Worksheet. Differentiation: How will I scaffold and/or accelerate learning? For Whom? How will I group my students? Varied sources of problems, difficulty levels. Accommodations/Modifications: Working in groups of two, peer tutoring, large print, reduced number of problems to complete Homework: Number Patterns Worksheet