EALR 2: Problem Solving EALR 3: Reasoning EALR 4: Communication EALR 5: Connections Component 5.3: Relate mathematical concepts and procedures to real-world situations. GLE 5.3.1: Understand that mathematics is used in daily life and extensively outside the classroom.

MATH! 15 min. - Discussion / Introduction / Examples 15 min. - Activity: “What’s wrong with that doll?” 15 min. - Discussion, Relationship to WASL / GLEs and the Focal Points 15 min. - $ Store Examples 20 min. - Simulated Trip to the $ Store 30 min. - Virtual Dollar Store Spending Spree! 10 min. – Conclusions

Tattoos!

What’s Wrong with that Doll? What’s wrong with us? I think we look terrific.

Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals Number and Operations: Connecting ratio and rate to multiplication and division Algebra: Writing, interpreting, and using mathematical expressions and equations Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity Measurement and Geometry and Algebra: Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations NCTM Focal Points

Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals Number and Operations: Connecting ratio and rate to multiplication and division Algebra: Writing, interpreting, and using mathematical expressions and equations Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity Measurement and Geometry and Algebra: Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

multiplication and division of whole numbers decimals measurement: area probability as chance statistics measures of central tendency estimation skills the relationships between and among two-dimensional (plane) figures graph points in the first quadrant extend and duplicate patterns recognize a geometric transformation fractions and decimals 4th Grade negative numbers & integers volume collect, analyze, display, and interpret data probability analyze numerical and geometric patterns solve algebraic equations in one variable develop an understanding of algebraic terms 6th Grade8th Grade Proficient in computation with all rationals Problem solving with ratio & proportion Distance & Pythagorean Theorem Analyze bivariate data sets Solve 2-step equations & inequalities 10th Grade Scientific notation Apply formulas to measurement Understand both US and metric systems Distance formula Conditional probability Develop equations for linear models Analyze statistical arguments Systems of equations in 2 variables

How do we teach these things?

For whom does this work best?

So how shall we teach? “The best way to create interest in a subject is to render it worth knowing, which means to make the knowledge gained usable in one’s thinking beyond the situation in which the learning has occurred.” - Jerome Bruner, 1961 Assimilate? Accommodate? Ignore?

Quantitative tools: Tape Measures, Thermometers and Stop Watches!

Of course, yours will look more like these:

A trip to the Dollar $tore

The Dollar $tore comes to you!

Visit the Virtual Dollar Store! Imagine that you have $20 to spend. What would you buy? Why? What learning targets would be addressed?

What do we want? What is the point of math / science education?

conceptual understanding; fluent skills; A problem solving orientation; positive dispositions. mathematics as a way of making sense of the world What do we want?

EALR 2: Problem Solving EALR 3: Reasoning EALR 4: Communication EALR 5: Connections Component 5.3: Relate mathematical concepts and procedures to real-world situations. GLE 5.3.1: Understand that mathematics is used in daily life and extensively outside the classroom.

EALR 2: Problem Solving EALR 3: Reasoning EALR 4: Communication EALR 5: Connections Component 5.3: Relate mathematical concepts and procedures to real-world situations. GLE 5.3.1: Understand that mathematics is used in daily life and extensively outside the classroom.

We want people who are equipped and inclined to wonder. What do we want?

We want people who can and will use mathematics and science effectively as tools in their efforts to make sense of the world. What do we want? We want people who are equipped and inclined to wonder.

Let’s have a look at the Web site, shall we?

NCTM Focal Points Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals Number and Operations: Connecting ratio and rate to multiplication and division Algebra: Writing, interpreting, and using mathematical expressions and equations Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity Measurement and Geometry and Algebra: Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations Algebra: Analyzing and representing linear functions and solving linear equations and systems of linear equations Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle Data Analysis and Number and Operations and Algebra: Analyzing & summarizing data sets

Grade 5 - Sample WASL Understand data table, median, area

Grade 5 - Sample WASL Understand data table, median, area, data collection, problem posing

Grade 5 - Sample WASL Understand data table, median, area, data collection, problem posing, elapsed time

Grade 5 - Sample WASL Understand data table, median, area, data collection, problem posing, elapsed time, process for measurement

Grade 6 - Sample WASL 6th Grade Understand data table, median, area, data collection, problem posing, elapsed time, process for measurement, ratio / scale

Grade 6 - Sample WASL Understand data table, median, area, data collection, problem posing, elapsed time, process for measurement, ratio / scale, algebraic formulation, concept of division, appropriate metric measurement units, recording / analyzing data