Building Bridges: Math & Science, the Built Environment, and the

Common Core

Agenda10:10 – 10:25 Overview

- Review agenda- Intro to Salvadori

10:25 – 10:50 Hands-on Activity: Measuring Force on an Inclined Plane

10:50 – 11:05 Unpacking the Salvadori Method- Differentiation- Math Standards & Practices

11:05 – 11:20 Sample Extension Exercise: Visual Representations of Fractions

11:20 – 11:25 Common Core Math Practices

11:25 – 11:40 Summary, Questions, & Feedback Forms

Hands-on Activity: Measuring Force with an Inclined Plane

Project-Based Learning…activities designed to answer a question or solve a problem, and that generally reflect the types of learning and work that people do in the everyday world outside of the classroom.

~ Buck Institute for Education (www.bie.org)

Overview

Measuring Force

Newton Spring Scale

The unit used for measuring force

Hands-on Activity

Hands-on Activity

Measuring Force on an Inclined Plane

Hypothesis: Which will require the least amount of force to lift the weight?

no ramp (lifting the weight a straight vertical distance) a long ramp a short ramp

3 Newtons25

2 Newtons

2 Newtons12

16 inches

12 inches

Hands-on Activity

Long Ramp Short Ramp No Ramp

Hands-on Activity

2 Newtons 2 Newtons12 3 Newtons2

5< <

In order from least force to greatest force…

A long ramp

Hands-on Activity

Conclusion: ___________________ requires less force to lift the weight.

Measuring Force on an Inclined Plane

Hypothesis: Which will require the least amount of force to lift the weight?

no ramp (lifting the weight a straight vertical distance) a long ramp a short ramp

Unpacking the Salvadori Method

Reflections

Differentiation Questions I have…

Unpacking the Salvadori Method: Differentiation

Common Core Standards for Mathematics

2.MD.1 Measure the length of an object by selecting and using appropriate tools such as rulers…

2.MD.3 Estimate lengths using units of inches…

3.MD.4 Generate measurement data by measuring lengths

Unpacking the Salvadori Method: Standards

Next Generation Science Standards

Science & Engineering PracticesDeveloping and Using Models

Students in grades 3-5:• Use a model to test cause and

effect relationships or interactions concerning the functioning of a natural or designed system.

Unpacking the Salvadori Method: Standards

Next Generation Science Standards

Science & Engineering PracticesPlanning and Carrying Out Investigations

Students in grades 3-5:• Make observations and/or

measurements to produce data to serve as the basis for evidence for an explanation of a phenomenon.

Unpacking the Salvadori Method: Standards

Sample Extension Exercises: Visual Representations of Fractions

4.NF.A.2Extend understanding of fraction equivalence and ordering.

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. … Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Sample Extension Exercise: Visual Representations of Fractions

1 Newtons310 1 Newtons3

5

1 Newtons610

or

<

Common Core Math Practices

MP3: Construct viable arguments and critique the reasoning of others.Mathematically proficient students…justify their conclusions, communicate them to others, and respond to the arguments of others. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions.

Common Core Math Practices

Common Core Math Practices

MP6: Attend to PrecisionMathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They are careful about specifying units of measure, and… express numerical answers with a degree of precision appropriate for the problem context.

Common Core Math Practices

Reflections, Questions, & Feedback Forms