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Functions - KMCH - Ms. K's Class

Functions - KMCH - Ms. K's Class

Assessment

Presentation

Mathematics

12th Grade

Practice Problem

Hard

Created by

Claire D. Kolheim

Used 1+ times

FREE Resource

44 Slides • 2 Questions

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DO NOW - KIPP KICKSTART (A)

Standard Review: B.F.IF.A.1

Mon., Oct. 2nd & Tues., Oct. 3rd

Write out the set of Domain and Range, and
state if each relation is a function or not.

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BRIDGE MATH

Ms. K's Class

Let’s Fill-in the Gaps in our
Mathematical Foundation

FUNCTIONS

Mon & Tues
(10/02 and 10/03)

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Seating Chart

KIPP Kickstart

Agenda Review

Classroom Expectations

Expression of My Learning

Motivation Activity/Engagement

Video

TODAY’S AGENDA

Class Project Reminder

Today's Focus

Content Vocabulary

Homework Assignment

Gradual Release (I-We-Pairs-Alone)

Exit Ticket

Closure/Discussion

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Classroom Expectations

1.

Be respectful to teachers and fellow students.

2.

Be Prepared, Be Responsible, Be Ready

3.

Raise your hand to speak and/or leave your seat.

4.

NO CELL PHONES!

5.

No gum, candy, food or drink in class.

6.

Follow all instructions the first time they are given.

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Classroom Consequences

1. Verbal Warning
2. Write-up and Student Form (you tell your side)
3. Parental Contact and Involvement
4. School Administration Involvement

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Classroom Rewards

How to get Classroom Rewards:
1.

Actively participates throughout entire lesson

2.

No disciplinary action taken (verbal and/or written)

3.

Actively TRIES in class and adds value to discussions

Classroom Rewards:
1.

Snack Pack (once a month)

2.

10 Points added to Student Work

3.

Positive call to parents/guardians about behavior,
academics, and effort made in class.

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Demonstrate your learning by completing

the KIPP Kickstart, Independent Task(s), and
Exit Ticket with 86% or higher.

Why is this important:

EXPRESSION OF MY LEARNING

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MOTIVATION ACTIVITY/ENGAGEMENT VIDEO

MOTIVATION FROM NEIL DEGRASSE TYSON:

@JONATHAN ARRINGTON ON YOUTUBE

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REMINDER: Your class project is due this Wednesday, October 4th

It's worth 25% of your Q1 grade! Reminders have been placed in the Google

Classroom multiple times, and verbally given in class.

You don't have to wait until Wednesday. If you've done an original project (not an AI

project, or someone else's project, go ahead and turn it in. Remember to follow the

rubric. I've received a few already and they are creative and genuine.

Thank you to everyone who has put in the work,

and turned their projects in.

CLASS PROJECT REMINDER

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Today’s Focus

NEW: Interpreting Functions
CLUSTER: Understand the concept of a function and use function notation.

Today's Standard:
B.F.IF.A.1
Understand that a function from one set (called the domain) to another set (called the range)
assigns to each element of the domain exactly one element of the range. If f is a function and
x is an element of its domain, then f(x) denotes the output of f corresponding to the input x.
The graph of f is the graph of the equation y = f(x).

B.F.IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements
that use function notation in terms of a context.

B.F.IF.B.3
Recognize functions as mappings of an independent variable into a dependent variable.

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Today’s Focus

Today’s Learning Target:

I WILL…

determine whether a relation is a function.
identify the domain and range of a relation.
map each element from the domain to a unique

element in the range.

represent mathematical relationships using graphs.
use function notation to evaluate functions for

inputs in their domains.

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What are the characteristics of a function
and how can you use those characteristics
to represent the function in multiple ways?

ESSENTIAL/GUIDING QUESTION

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CONTENT VOCABULARY

write these down in your notes

FUNCTION - a special relationship between two sets of numbers, where each

input number (called the domain) is matched with exactly one output number
(called the range).

DOMAIN: The set of all possible input values (x-values) for a function.

CODOMAIN: The set of all possible output values (y-values) for a function.

RANGE: The set of actual output values produced by a function for all possible

input values.

FUNCTION NOTATION: The way functions are written, such as f(x) or g(t),

where the variable inside the parentheses is the input.

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CONTENT VOCABULARY

write these down in your notes

ELEMENT - Each object that belongs to a set.

SET: A collection of distinct, well-defined objects forming a group.

ORDERED PAIRS: A pair of numbers written in a specific order.

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Complete the Guided Notes and bring

back to next class. Use the Student Edition
of the PowerPoint located in the Google

Classroom.

HOMEWORK ASSIGNMENT

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Turn in any outstanding homework

assignments you may have.

HOMEWORK REVIEW

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IN YOUR OWN WORDS:

INSTRUCTIONS: Pretend the teacher is your little sibling. Your job is to explain
what a function is. Use the space below, if needed. Examples to help with
the explanation may include mapping or relation sets

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TEACHER NOTES
Functions in Tables

HERE'S WHAT WE'VE LEARNED SO FAR

A function has one input and only one output.

A function can be identified via a table, a set of ordered pairs,

mapping, an algebraic expression, and with a graph (which we will
see shortly).

When we are evaluating a function, the x-value is given to us and we

must replace the value wherever we see "x":

f(x) = 2x - 9; where x=7

f(7) = 2(7) - 9

= 14 - 9
= 5

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FUNCTIONS ON A GRAPH

Using the Vertical Line Test (VIDEO)

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Using the Vertical Line Test

Using the
Vertical
Line Test,
identify if
the graph

is a

function
or not.

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Draw

Which one is NOT a function?​

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I DO

Using the

vertical-line
test, is this a

function?

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I DO

Using the

vertical-line
test, is this a

function?

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NO - It is not a function

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I DO - CFU

True or False:

The vertical-line test runs along the

x-axis.

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I DO - CFU

True or False:

The vertical-line test runs along the

x-axis.

TRUE

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YOU DO
In Pairs

Use the vertical-line
test and identify if

the graph is a

function

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YOU DO - CFU

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Open Ended

Any Questions about Functions?

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GRAB A COMPUTER

Log into your Google Classroom
and take the quick refresher quiz

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EARLY FINISHER/ENRICHMENT ACTIVITY

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EXIT TICKET (A) - B.F.IF.A.1

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CLOSURE DISCUSSION

How has your understanding of
functions improved after today's
lesson?

What was finally made clear, or
what is still a bit unclear?

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DO NOW - KIPP KICKSTART (A)

Standard Review: B.F.IF.A.1

Mon., Oct. 2nd & Tues., Oct. 3rd

Write out the set of Domain and Range, and
state if each relation is a function or not.

Show answer

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