Math-Vocational+Connection

Vocational students need to see the relevance to their lives.

Need a list of math topics needed and/or covered in vocational classes.

Metals 1 - basic arithmetic skills 100% accuracy (should come to high school with those skills!) Maybe we need math people teaching math in elementary school! We need to have students pass some sort of proficiency test in math skills before coming to the high school.

What about accuplacer before entering high school. Vocational is using this now.

Conflict - maybe not all vocational students need to get through algebra II but we need them to in order to get them through for SAT's.

Field trips for classes to vocational to see and applied math.

Students need to be responsible and accountable. Work ethic

Some skills needed: Square and volumetric measurement - straight and curved lines - degrees and seconds Geometry, welding, angles! spacial reasoning accuracy

Connections may not be enough. Another type of math class for those going into the vocational field beginning with freshman year. All applied math but beginning with basics - measuring, basic facts, etc.

Take existing curriculum and make more connections to voc. Apply the math! Field trips to voc. Exposure before junior year - help select their pathway.

DAY 2 Teachers tour voc. during teacher workdays in August. We went through the MLR Content Standards in math and tried to find ideas for projects/activities and other ways to apply math to support tech. programs of study.

Next we would like to have tech look at our content standards and give us some other ideas of how to relate it to their specific programs. We would also like to have a copy of their curriculum to see what they cover.

We only see one major roadblock to standards based learning. What do we do when the state requires SAT's as juniors by age not by level of competence?

DAY 3 Initiative: How can the math department support tech programs within our current classes? 1. More exposure to opportunities that are available at the tech center (freshman/sophomores) 2. Visitations to tech classrooms for "labs" -- Creativity and Innovation -- Communication and Collaboration 3. Linking our topics to career paths -- applications --Global awareness 4. Be able to work in teams and groups to solve problems -- Critical thinking and problem solving

Needs: Feedback of what math skills are used in tech programs 1. Topics taught in our Algebra I, Geometry, Algebra II, Trigonometry classes

__**ALGEBRA I**__ Data Analysis (mean, median, mode, graphs->box-and-whisker, bar, histograms, circle) Order of Operations (computations, algebraic, matrices) Solving Linear equations and Inequalities Solving Proportions -- Carpentry - (scale models, floor plans) -- Food Services Slope -- Carpentry (pitch of roof) -- Outdoor Resources ?? DGA ?? Writing linear equations Input/output values Best fit line Systems of equations (linear/inequalities) Exponent rules Quadratics Probability Midpoints -- Carpentry -- DGA ??

__**GEOMETRY**__ Terms ????? Inductive/deductive Reasoning nth term Constructions (angle bisectors, perpendicular lines, parallel lines, points of concurrency) -- Carpentry Polygons -- Triangle properties -- Quadrilateral properties -- Carpentry Circles properties -- Automotive Transformations/Tessellations --- symmetry -- DGA Area of polygons and circles -- <span style="color: rgb(0, 0, 255);">Carpentry Volume -- <span style="color: rgb(0, 0, 255);">Carpentry Space shapes -- cylinders, prisms, pyramids, cones Pythagorean Thm -- <span style="color: rgb(0, 0, 255);">Carpentry Right Triangle Trig (sine, cosine, tangent) -- <span style="color: rgb(0, 0, 255);">Carpentry -- <span style="color: rgb(0, 128, 0);">Outdoor Resources Distance formula -- <span style="color: rgb(0, 128, 0);">Outdoor Resources

__**ALGEBRA II**__ Linear models - lines that best fit, residuals, correlations Linear systems Quadratics (zeros, min/max points, different forms) Polynomial Functions (cubic, quartic, etc. -- zeros, shapes) Complex numbers Graphs of functions (interpretations, translations, reflections, stretching) Exponential Functions -- <span style="color: rgb(128, 0, 128);">Health Care Careers Logarithmic Functions Conics Distance Formula -- <span style="color: rgb(0, 128, 0);">Outdoor Resouces Probability

__**TRIGONOMETRY**__ Algebra II Review (family of functions) Inverses Radian angle measurement Angular/Linear velocity -- <span style="color: rgb(192, 192, 192);">Automotive Right Triangle Trig -- <span style="color: rgb(0, 0, 255);">Carpentry -- <span style="color: rgb(0, 128, 0);">Outdoor Resources Reference angles Graphs of sine, cosine, tangents, secant, cosecant, cotangent Trig Identities Solving Trig equations Law of Sines/Law of Cosines -- <span style="color: rgb(0, 128, 0);">Outdoor Resources Complex numbers Powers and roots Exponential functions -- <span style="color: rgb(128, 0, 128);">Health Care Careers Logarithmic functions

__**Timeline:**__ 2009 -2010 school year -- gather data/materials to implement common lessons (pythagorean thm, slope, distance) -- short term goal --- long term goal -- continue support for tech center with more applied problems

Math department has to continue teaching MLR concepts and preparing students for SATs Many math concepts tech teachers want are taught before high school (fractions, decimals, percents) Having time to coordinate lessons with tech center teachers. Gathering data/applications for content that support tech programs Acquire GPS units to do lessons with slope, midpoint, distance formula with applications instead of two points on a piece of graph paper -- <span style="color: rgb(255, 0, 0);">Information and Technology Skills
 * __//Wants/stumbling blocks://__**
 * TIME**