High School Math Guide

Secondary II & II H Unit Guide - Semester Unit 1

Quadratic Functions

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 14 days ● Regular: 6 days ● Honors: 6 days

Explain

UTAH CORE STANDARD for MATHEMATICS

II.F.BF.1 II.A.SSE.1 II.F.LE.3 II.A.CED.2

II.F.IF.9 II.F.IF.6 II.F.IF.4 II.F.IF.5

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 1, students will be able to: ● classify a given function as linear, exponential, quadratic, or none of them ● evaluate a quadratic function and relate the answer to the given context ● create a table, graph, and/or explicit equation for functions given in various representations ● construct and compare linear and quadratic models, justify answers using correct math vocabulary as: ○ quadratic, parabola, linear, exponential, constant rate of change/slope SCAFFOLDING IN ACTION

● Lesson 1.1: Jump start - Which One Doesn’t Belong?, Launch - Notice and Wonder, Explore - graphic organizer to record multiple representations ● Lesson 1.2: Explore - graphic organizer with table and graph partially flled in ● Lesson 1.3: Explore - provide manipulatives to model pushups, graphic organizer for #5 ● Lesson 1.4: Explore - use technology such as Geogebra/Desmos to graph data, Discuss - refer back to previously learned content about functions ● Lesson 1.5: Explore - have students create a representation of the race ● Lesson 1.6: Launch - 3-column graphic organizer: linear, exponential, quadratic fll in with examples of tables, graphs, equations, rate of change, and context

Skill Building

Priority Lessons

Ready for More?

Extension

RESOURCES

● Unit 1 OUR Online Resource ● Unit 1 Desmos Activity

● Unit 1 Homework Help Videos for Students

LEARNING INTENTIONS AND SUCCESS CRITERIA ● Lesson 1.1: Something to Talk About – Develop Understanding

○ LI: I am developing my understanding of quadratic functions so that I can surface the idea that quadratic functions have a constant second difference. ○ SC: I can model quadratic growth with tables, graphs, and equations. ● Lesson 1.2: I Rule! – Solidify Understanding ○ LI: I am solidifying my understanding of quadratic functions so that I can compare quadratic and linear functions. ○ SC: I can determine the type of function given a table and then write a recursive and explicit