High School Math Guide

Secondary III & III H Unit Guides - Semester

Unit 1

Functions and their Inverses

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 12 days ● Regular: 6 days ● Honors: 6 days

Explain

UTAH CORE STANDARD for MATHEMATICS

III.ACED.2 III.F.BF.1 III.F.BF.4a III.F.IF.9

Honors: III.F.BF.4b(+) III.F.BF.4c(+) III.F.BF.4d(+)

III.F.BF.5(+)

(+) Pre-Calculus Standard

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 1, students will be able to: ● fnd the inverse of given functions presented in different representations ● identify key features of inverses using correct math vocabulary such as: ○ domain, range, constant rate of change, function, input/output ● evaluate inverse functions Honors: ● verify one function is the inverse of another by using composition of functions ● write the inverse function in multiple representations given multiple representations ● restrict the domain and fnd the inverse of a function ● sketch the inverted relation and restrict the domain so as to create a function SCAFFOLDING IN ACTION

● Lesson 1.1: Jump start - Which One Doesn’t Belong?, Launch - read aloud, sketchnotes, use contextual visuals ● Lesson 1.2: Launch - Think-Pair-Share, read aloud, sketchnotes, use contextual visuals, Explore - use graphing calculators or other graphing technology, provide graph paper with extra space ● Lesson 1.3: Launch - 3 Reads/Word-Phrase-Sentence, Explore - provide graphing calculators or other graphing technology ● Lesson 1.4: Explore - have student choose 4 - 5 problems to solve ● Lesson 1.5: Launch - read aloud and model the directions, Explore - chunk the task into more manageable parts

Skill Building

Priority Lessons

Ready for More?

Extension

RESOURCES

● Unit 1 OUR Online Resources

● Unit 1 Homework Help Videos for Students

○ Regular: for lesson 1.2, skip restricting the domain parts

● All Secondary II Lessons 4.5, 4.6, 4.7