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Waltham Public Schools

One Waltham!

Quantitative Reasoning

WHS Math - QR

This course  will review the standards from Algebra and Geometry by utilizing a project­-based approach.  to solve both home and vocational application problems. Students should take this class if they are not yet ready for Precalculus, but seek to improve their mathematics skills in preparation for choosing a college major, planning a career path, or for use in day­-to-­day life. Assessments for the course are mostly project-­based, so students signing up should be independent and motivated workers during class time. Topics will include unit conversion, measurement, logical thinking, personal finance, data analysis and organization, probability, and modeling with geometry. If you have ever asked yourself, "When will I use this math?” this may be the course for you! Prerequisite courses: Algebra 1, Geometry, and Algebra 2.

 

Unit Timeframe (tentative) Big Ideas (Statements or Essential Questions) Major Learning Experiences from Unit
Unit #1: Thinking and Arguing Throughout the course Arguments
Following oral and written Directions and Instructions
Students can successfully justify an opinion or answer to a question.
Students can interpret/critique other’s arguments and directions.
Unit #2: Measuring Our World September
October
Basic Calculation Review: Fractions, decimals
Mental math estimation Strategies
Converting Units: Dimensional Analysis
Interpreting Rates
Students can interpret everyday rates such as MPG, and make decisions based on them.
Students can perform everyday mental math calculations such as giving change, figuring out a price after a % discount, tipping.
Students are prepped for the Accuplacer Test.
Unit #3: $MONEY$ September
October
November
Budgets
Credit Cards
Saving Accounts and Investments
Loans
Taxes
Students can create a budget.
Students can interpret a given budget.
Students can calculate savings totals over years by hand and with Google Sheets.
Students can calculate installment loan payments and totals by hand and with Google Sheets.
Students can file a basic tax return, and generally explain what is taxed and where the money goes.
Unit #4: Statistics December
January
Responsible data collection
Assessing the validity of studies
Displaying data in various charts and tables
Measures of Central Tendency
Range and Standard Deviation
Correlation
Students can responsibly collect data.
Students can display data by hand and using Google Sheets.
Students can interpret data by performing statistical calculations by hand and using Google Sheets.
Students can critique the validity of a statistical study.
Unit #5: Probability February
March
Multiple events
Combinations and permutations
Students can make decisions based on risk vs. reward (financial, surgical etc.)
Students can apply probability to game play and creation.
Unit #6: April
May
Angles,
Types of polygons,
Circles,
Perimeter, Area, Surface Area, Volume,
Dimension change effect on area, SA and volume
Indirect measurement with similar triangles
Basic trigonometry
Students can create scale drawings to help in space planning.
Students can apply measurement concepts to pricing of projects.