SAGE 2014 GRADE 12 ESSENTIAL MATH Shawn Sadler. Sorting Units Rank the course units in order of “what the students should know after high school”

SAGE 2014 GRADE 12 ESSENTIAL MATHShawn Sadler

Sorting Units Rank the course units in order of

“what the students should know after high school”

SAGE 2014 – Grade 12 Essential Math

Course and Materials Intent

Questions What is the purpose of Grade 12

Essential Math? What are the strengths of the

course? What are the weaknesses of the

course? Who is taking this course?

What are their skills like? What are their needs?

Resources and Materials Why did I make my own

materials from scratch* for this course?

* Note: materials liberally inspired by other teachers and “borrowed” from provincial exams.

Challenges Not enough resources Textbook does not cover whole

course Students struggle with the exam

Good things Grade 12 Essential Math is

actually useful content! Provincial exam is actually pretty

good

Goal 1

Prepare students for life after high school.

Goal 2

Prepare students for the provincial exam.


Curriculum Documents

Curriculum Documents

Match exam questions to achievement indicators

Is the question an “explain” or “calculate” question?

Which topics from each unit are important for real life?

What is the “big idea”?

Where/why do they need this in real life?

Curriculum vs. Exam Curriculum vs. Real Life

Report Back What patterns did you see? What questions are expected on

the exam? What important “real life” topics

should be there but aren’t?

Engagement How do we get students to

realize how this stuff is important for real life?


The Provincial Exam

Units on Exam Precision Measurement Statistics Home Finance Vehicle Finance Geometry and Trigonometry Probability

Explain Questions Many Achievement Indicators in

the curriculum state “Explain ______” Roughly 1/3 of the exam is “explain

questions”

Precision Measurement Explain precision, accuracy,

tolerance or uncertainty Write or use tolerance State precision/uncertainty

Statistics Mean, median, mode

(calculate and explain) Weighted Mean Trimmed Mean Percentile Rank

(calculate and explain)

Home Finance One-time moving costs Land Transfer Tax Ownership and maintenance costs Home Insurance Property Tax Mortgage payments

(may include amortization table) GDSR Owning vs. Renting

Vehicle Finance Leasing vehicle (total cost, residual) Base, sticker, total cost, taxes (new and

used) Repairs, parts and labour New vs. Used Finance vs. Lease Depreciation Loan payments, interest paid Car Insurance Fuel Efficiency

Geometry and Trigonometry Solve triangle using Sine Law

With context and diagram Solve triangle using Cosine Law

(with context) With context and diagram

Properties of triangles or quadrilaterals

Properties of polygons ()

Probability Write probability (in different

forms) Write odds, translate to/from

probability Expected Value Explain probability/odds Experimental vs. Theoretical

probability


Study Sheets

Characteristics of an Effective Study Sheet

Well Structured and Organized Has the required formulas and

examples in the students’ own words

Doesn’t contain too much information

Doesn’t have their name on it

Study Sheets The process of creating the sheet is

more important than the sheet itself Students will need to be taught how to

create an effective study sheet Use study cards throughout the course Give a short lesson with tips for an effective

study sheet Force them to create their own and don’t

allow photocopied sheets Provide exemplars of good and poor sheets


How did I structure the course?

Goals Prepare students for real life Prepare students for the exam Do.

Major Portfolio Project

Career Life

Home FinanceVehicle FinanceWrap-up

Career Life Project Goal: Find a suitable career Parts:1. Myers-Briggs and Multiple

Intelligences2. Career goal3. Job for next year and backup

plan

Home Finance Project Goal: find a house that suits the

career they have chosen Affordability and location

Parts:1. Affordability and needs/wants2. Find a house3. Mortgages4. Moving and ongoing costs

Vehicle Finance Project Goal: find a vehicle they can

afford Parts:1. Affordability and needs/wants2. Find a new car3. Find a used car4. Fuel use and owning costs

Wrapup Project Goal: combine parts of project

to a “snapshot” of what students’ life might be like in 5-10 years.

Parts:1. Budget2. Analysis

Other Projects Probability Project: Create a

game of chance Includes super-awesome-fun

carnival!

Other Projects Trigonometry Project: Build a

gazebo! Or porch, to connect from Grade 11

Essential Math

Unit Order1. Career Life2. Precision Measurement and

Statistics3. Home Finance4. Probability and Business

Finance5. Geometry and Trigonometry6. Vehicle Finance7. Career Life Wrap-up

Resources Structure Notes:

Introduce one new exam topic at a time Short, frequent examples

Assignments: One topic at a time, logical progression Include questions from old exams

Quizzes: Frequent, short. Check for students


Precision Measurement and Statistics

Unit Structure Mutually supporting topics

Measure stuff, then do stats about them.

Do! No big projects, lots of smaller

activities.

Unit Outline1. Measure Lego2. Accuracy/precision notes3. Measuring the human body4. Tolerance notes5. Lego tolerance6. Central tendency notes and activity7. Trimmed and weighted means8. Percentile Rank

Do!

Do!

Do!Do!

Exam Topics

Resources You can find these resources

online at:

shawnsadler.weebly.com/sage-2015.html

Or talk to me to get these resources on a USB stick