1 of 21

Tech Tools for Math Lesson Design

Kristan Morales

RCOE Teacher of the Year 21-22

@kristanmorales1

bit.ly/techy-teacher

Kathleen Magana

RCOE Teacher of the Year 21-22

kmagana@cnusd.k12.ca.us

#iegooglecamp

2 of 21

Mrs. Morales’ classroom

Fall 2019 and Fall 2020

The students haven’t changed, but instead, the way we communicate has changed.

Working on Chromebooks from home playing a competitive game of Quizizz.

Working on chromebooks in class.

3 of 21

Teaching for Robust Understanding (TRU) framework:

Mathematics Assessment Project with UC Berkeley and Michigan State

What are the attributes of equitable and robust learning environments in which all students are supported in becoming knowledgeable, flexible and resourceful disciplinary thinkers?How can Tech-Infused Activities help address the 5 dimensions?

Purpose: The Academic need

The Five Dimensions of Mathematically Powerful Classrooms

The Mathematics

How do mathematical ideas from this unit/course develop in this lesson/lesson sequence? How can we create more meaningful connections?

Cognitive Demand

What opportunities do students have to make their own sense of mathematical ideas? To work through authentic challenges? How can we create more opportunities?

Equitable Access to Content

Who does and does not participate in the mathematical work of the class, and how? How can we create more opportunities for each student to participate meaningfully?

Agency, Ownership and Identity

What opportunities do students have to see themselves and each other as powerful mathematical thinkers? How can we create more of these opportunities?

Formative Assessment

What do we know about each student’s current

mathematical thinking? How can we build on it?

4 of 21

Purpose: The Academic need

Standards for Mathematical Practice:

The Standards for Mathematical Practice describe behaviors that all students will develop in Common Core Standards. These standards rest on important processes and proficiencies including problem solving, reasoning and proof, communication, representation and making connections. These practices will allow students to understand and apply mathematics with confidence.

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Instructional Shifts

shift 1: From same instruction towards differentiated instruction

Shift 2: From students working individually towards a community of learners.

Shift 3: From mathematical authority coming from a teacher or textbook toward mathematical authority coming from sound student reasoning.

Shift 4: From teacher demonstrating “how to” toward teacher communicating “expectations” for learning.

Shift 5: From content taught in isolation to content connected to prior knowledge

Shift 6: From focus on correct answer to focus on explanation and understanding.

Shift 7: From mathematics made easy for students towards engaging in a productive struggle

5 of 21

Desmos Graphing Calculator

Graph, plot points, create

Tables, sliders,restrictions, regression.

Desmos Scientific Calculator

Quizizz

Self paced, whole class

competitions, review/assess

Teacher dashboard & memes

Quizizz How-to Slide Show

Padlet

Digital bulletin board

for students to display

work to classmates

Peardeck

Whole class collaboration

Teacher Dashboard

Google Slides Add-on

Kahoot

Game based learning

Intro new topic or review

Teacher paced class competition

Edpuzzle

Choose a video and

track your students’

Comprehension

Tutorial

Flipgrid

Pose question

Students create 90-second video

For class discussion grid

Flippity Turn Google Sheet

Into random group picker

Online flashcards and more

Group work

Quizlet

Flashcards & learning

Tools. Individual practice

Or play live class mode

Quizlet modes quiz

Goformative

Online assessments.

Live view of student progress

Teacher Dashboard

How To Formative Slideshow

Nearpod

Draw it, collaborate board,

Quiz, polls, video & more.

Full reports for

synchronous &

asynchronous lessons

Input: Students need information and facts: Tools

6 of 21

Google Classroom

Assignments,

conversations,

gradebook

Tutorial

Google Sites

Teacher or student

Created websites

Tutorial

Google Slides

Teacher or student

Created Slideshows

Tutorial

Live Q & A Tutorial

Google Meet

Video Conferencing

Tutorial

Livestream

Saves bandwidth

Invite students to watch

Tutorial

Google Docs

Connect & Collaborate

With Students

Tutorial

Google Forms

Self Grading Quizzes

& student feedback

Tutorial

Google Sheets

Data tables

Tutorial

Google Photos

Ts & Ss take photos

of answers & work

Info & Set up

Google Jamboard

Digital Collaborative

Whiteboard

Tutorial

Input: Students need information and facts: Google Tools

7 of 21

Teacher.desmos

Engaging digital activities

Teacher dashboard to see

& share Student work

Desmos Activity Building Doc

Desmos 10 tips Tutorial Video

Geogebra

Interactive discovery

Activities,concept demos

Add Fractions example

Open up Resources

Free Open Curricula

Teacher & student

Materials grades 6-8

HS Beta project

Youcubed

Dr. Jo Boaler, Stanford

Visual Math Tasks,

Growth Mindset

Math is Fun

Math all grade levels

Explained, practice sets,

Puzzles & graphics

Illustrative Math Curricula

IM.org Student driven,

rich tasks,focus,

coherence, rigor

Deltamath

7th-Calculus problem

Sets, full solutions,

assign or use

Can Figure it

Interactive Geometry

Proofs

Which One Doesn’t Belong

Thought provoking

Puzzles to spark

conversation

Estimation 180

Building Number

Sense daily

activities

Shodor interactivate

Interactive lessons,

Activities, discussion,

applets

Learnzillion

Full lessons,

Videos, Slideshows

& materials

Input: Students need information and facts: Math

8 of 21

Mash Up Math

Visual learning math videos

Grade 1-Geometry,

Puzzles & Worksheets

Virtualnerd

Video lessons for

Grades 6-Alg 2

Toy Theater

Virtual Math

Manipulatives &

Online games

Professor Dave Explains

Youtube Channel

Grade 1-Calculus

Math videos

MARS

HS & MS lessons,

Tasks, tests, modules

Align standards & TRU framework

Open Middle

Challenging Math

Problems worth

Solving. All grade levels

SketchUp

3D Modeling Software

Design, build, share

Math Reps

Connect topics &

Standards thru

daily reps

101 questions

Daily Thought

Provoking questions

Chewable math

Use food labels and facts for math

Visual Patterns

Use patterns to find terms and write equations

Math Playground

Math interactive

games,activities,

Grades 1- MS

Input: Students need information and facts: Math

9 of 21

Math Papa

Step by step solutions

To Algebra problems

Symbolab

Step by step solutions,

Practice problems,

Videos up thru Calculus

Equat10 by Texthelp

Easily add equations,

Formulas, graphs to

G Suite & Microsoft

Math Open Reference

Interactive applets, descriptions,

Constructions, problems from Alg1 thru Calculus

PBS Learning Media

Games, animations,

Engaging videos grades

K-Geometry & Stats

XP Math

Fun, educational

Math Games

Grades 2-9

Solve Me Puzzles

Transition to Algebra

Visual, interactive,

K-6 puzzles

3 Act Math

3 videos Math Tasks

Notice and Wonder

Problems solving

Robert Kaplinsky

Math tasks, lessons,Blog

Dane Ehlert

When Math Happens

Alg1 & Geom lessons & resources

Would you Rather

Ask students to

choose path & justify

it withMath

Mathigon

Free online interactive

Textbook grades 6-12

Input: Students need information and facts: Math

10 of 21

Edulastic

Tech Enhanced Formative Assessments. Standard

Aligned. Reports & data

Math Projects Journal

Innovative math projects

Middle school-Alg 2

Clothesline Math

Use movable cards on

clothesline to demonstrate

math relationships

Math=love

Alg 1-Trig lesson plans,

activities, blog

Esti-Mysteries

Solve math mysteries

using a series of clue

slides

Socrative

Questioning app for

instant student

feedback

Kami

Transform docs into

editable PDF for students to

annotate using a variety of tools

Google Drive & LMS integration

Resources Big Sheet

Spreadsheet of tools resources and blogs

Powtoon

Students create

animated narrative to

showcase learning.

Input: Students need information and facts: Math

11 of 21

Input: Students need info & Facts-Unit and Daily HyperDocs

12 of 21

Input: Students need info & Facts-Unit and Daily HyperDocs

I use the 3 step HyperDoc for daily lessons.

I use 7 step Hyperdocs for big picture concept and provide multiple resources to explore throughout the unit.

I post daily HyperDocs on Google Slides Calendar

bit.ly/moralesgeom2021

13 of 21

ELEMentary resources: Links

MATH PLAGROUND

KAHOOT

MISC. SLIDES

VIRTUAL CARDS

FLIPGRID

VIRTUAL BINGO

WE ARE TEACHERS

FACT MONSTER

SLIDES CARNIVAL

BOOM CARDS

MANIPULATIVES

14 of 21

ELEMentary resources: Examples

Place Value Jamboard for Build a Number

15 of 21

Anticipatory Set: Getting the Learners Prepped

Geogebra

  • Use Geogebra to engage students in interactive, dynamic math to illustrate concepts
  • Provide link in a Google Doc and ask students to explain Geogebra concepts

Edpuzzle

  • Use video to introduce, explore and provide a foundation to build on.
  • Turn any video into an Edpuzzle formative assessment quiz to ask multiple choice and free response questions, comments & insert similar problems.
  • Google Classroom integration assigns and puts scores directly into GC.

Favorite Video Resources:

Virtualnerd

Video lessons

Grades 6-Alg 2

Mash Up Math

Visual learning videos

Grade 1-Geometry

Professor Dave Explains

Grade 1-Calculus

16 of 21

Anticipatory Set: Getting the Learners Prepped

Quizizz “Fast & Curious” EduProtocol

  • Don’t spend time direct teaching vocabulary & concepts, instead see what students know by playing Quizizz as a pre-assessment.
  • Use Quizizz results to identify low scoring problems, then teach that on Tuesday and continue playing during the week to see improvement.
  • Quizizz can also be set in HW mode or Solo play with Flashcards.
  • Google Classroom integration assigns and grades directly in CG.

"Sketch & Tell" EduProtocol Sketch & Tell Templates Sketch & Tell Rt. Triangle Whole Class Example

  • Concept development through drawing and explaining
  • Students draw math diagrams, visuals to represent math problem & explain
  • Only use Google Drawing Tools, no internet images
  • Students contribute to shared class slidedeck then share out ideas with classmates

Quizlet vocab & practice

Create flashcard set & post in Google Classroom or let students create own set.

  • Learn Modes: Flashcards, Learn,Write, Spell
  • Play ModesTest, Match, Gravity, Live

17 of 21

Warm-up: play Quizizz again or review Quizlet or watch Virtual Nerd Video

Dinky King Google Slides Nearpod

  • Transform Dinky King Student Worksheet into class discussion.
  • Use Nearpod: collaborate board, video, draw it slides, time to climb, link to Padlet
  • Synchronous Lesson: Give Nearpod Live session code in class
  • Asynchronous Lesson: Give Nearpod link in LMS or daily HyperDoc
  • Students save their work: click black down arrow, notes, save to drive or email

  • Dinky King Padlet HW: padlet.com/kmorales/createDKgame

Guided Practice:

18 of 21

Check for Understanding: Know what they know

Warm-up: Review DK Padlet, play Quizizz again, watch Virtual Nerd Video

Desmos “Kung Fu Transversals” Activity

& Google Doc Write-up:

  • Desmos classroom activities for whole class discovery & collaboration.
  • Use Desmos snapshots to highlight student work & share with class.
  • Google Doc to ask specific questions , focus learning & document experience.
  • Students screenshot their work and reflect in writing in Google Doc
  • Post Doc & Desmos link in Google Classroom
  • HW: Create your own Kung Fu problem with 5 clues and post on a Padlet or Quizlet Learn & Play Modes

19 of 21

Guided Practice:

GeoReps on Math Reps

Repetitive Work mat to connect concepts and continuously practice basic skills

Change angle number daily and find all the different angle relationships

  • Can do on paper, use plastic sleeve and dry erase marker
  • Jamboard version for electronic work (make copy)
  • Try this editable link to see how it works

Jamboard-group collaboration example

  • Set up Jamboard with a slide for each group-acts as a collaborative whiteboard
  • Use Zoom Breakout rooms to make groups
  • If Hybrid, leave the slides at the end for the students in class and put them into groups.
  • Pre-fill slides with problem sets
  • Student collaborate, use pen tool, typing tool, insert photo tool to prepare their slides, then group spokesperson discusses solutions with entire class
  • Pro tip: post link “view only”, then during class change to “edit”, after class change back to “view only”

20 of 21

Something you will implement into your lesson design/teaching?

One WOW moment

Add logos of apps you’ll use or

Explore because of this session

One question you still have?

POST on JAMBOARD

Use this link

21 of 21

Kristan Morales

RCOE Teacher of the Year 21-22

@kristanmorales1

bit.ly/techy-teacher

Kathleen Magana

RCOE Teacher of the Year 21-22

kmagana@cnusd.k12.ca.us