High School Math Guide

Secondary I & I H Unit Guide - Semesters Unit 1

Sequences

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 22 days (teach in 2 units) ● Regular: 9 days ● Honors: 10 days

Explain

UTAH CORE STANDARD for MATHEMATICS

I.A.SSE.1 I.N.Q.2 I.F.LE.1 I.F.LE.2 I.F.LE.5

I.F.BF.1 I.A.REI.3 I.F.BF.2

I.F.IF.2 I.F.IF.3 END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 1, students will be able to: ● write explicit and recursive equations for a given sequence both procedurally and in context ● fnd specifc terms of an arithmetic or geometric sequence ● model an arithmetic or geometric sequence using various representations ● compare and contrast sequences ● explain the differences between an arithmetic and a geometric sequence by using correct math vocabulary such as: ○ arithmetic, geometric, sequence, constant difference (common), explicit, recursive, constant ratio (common), arithmetic mean SCAFFOLDING IN ACTION

● Lesson 1.1: JumpStart - provide sentence frames for discussion, Launch manipulatives, graph paper, colored pencils to explore the pattern, Explore - start with a simpler problem (3x3, 4x4), Discuss - Think-Pair-Share ● Lesson 1.2: Launch - manipulatives, colored pencils to group and count the dot, Discuss - graphic organizer for students to record their thinking about recursive vs explicit, multiple representations ● Lesson 1.3: Jump Start - Which One Doesn’t Belong? Launch - Notice and Wonder, manipulatives, colored pencils to group and count dots, Explore - graphic organizer for students to record their thinking ● Lesson 1.4: Explore - graphic organizer for students to record their thinking recursive & explicit models, provide sentence frames for discussion, Discuss - Think-Pair-Share, ● Lesson 1.5: Launch - 3 Reads/Word-Phrase-Sentence, Explore - graphing calculator ensure correct calculations, view table, Discuss - graphic organizer for students to record their thinking ● Lesson 1.6: Launch - read aloud, provide contextual visuals, Explore - graphic organizer for recursive thinking, Discuss - graphic organizer to record their comparative fndings ● Lesson 1.7: Explore - Think-Pair-Share, Explore - chunk the task and divide the work among group members ● Lesson 1.8: Explore - chunk the task, ● Lesson 1.9: Jump Start - Which One Doesn’t Belong? Explore - chunk the task, provide calculator for power function or nth root function, Discuss - Think-Pair-Share ● Lesson 1.10: Launch - refer back to “Take Aways”, Explore - chunk the task by providing choice

Skill Building

Priority Lessons