Quote Then there is the man who drowned

Quote Then there is the man who drowned crossing a stream with an average depth of six inches.

Science and Math for Middle School Moving science to a higher level Jack Shoaf Hoosier Academy

Areas of Math 6 th grade n n n n Number Sense and Computation (1/3) Algebra and Functions Geometry and Measurement Data Analysis, Statistics and Probability Mathematical Process Website for DOE ISTEP+ Blueprints http: //www. doe. in. gov/assessment/istepgrades-3 -8

Areas of Math 7 th grade n n n n Number Sense and Computation Algebra and Functions Geometry and Measurement Data Analysis, Statistics and Probability Mathematical Process Website for DOE ISTEP+ Blueprints http: //www. doe. in. gov/assessment/istepgrades-3 -8

Areas of Math 8 th grade n n n n Number Sense and Computation Algebra and Functions Geometry and Measurement Data Analysis, Statistics and Probability Mathematical Process Website for DOE ISTEP+ Blueprints http: //www. doe. in. gov/assessment/istepgrades-3 -8

Number Sense and Computations n n Order of operations Properties of operations Formulas Equations

Algebra and Functions n n Real world problems Converting words into equations Problems use coordinate plans Variables in equations

Geometry and Measurement n n n Formulas equations Conversion of measurements Geometric shapes volume and area

Sample activity n n n Mass the alka-seltzer tablet Mass the cup with water Total your mass Place your tablet into the water After the tablet dissolves Mass your cup and solution

Calculate n n Write a formula for the equation Write the formula to solve for mass of tablet Write the formula to solve for mass of water and cup What properties of math did you use to rewritten the equations

What is the Pythagorean Theorem? Where a and b are legs and c is the hypotenuse

Tim rode 8 miles due north, then 3 miles due east. How far, to the nearest mile, is Tim from where he started? n Draw a picture:

Graphing samples

Sample Graphing

Why should I care about analysis? n n n Analysis is used across all subjects and grades. It is a skill that applies to most careers and is used daily by all of us. Indiana State Standards require analysis. Many ISTEP questions use analysis.

Where can we get data? n n Student experiments Research materials Professional trade groups Real-time data via the internet

Real-time data sources n www. usgs. gov Stream data n Earthquake n Volcanoes n more n n www. weatherchannel. com www. nasa. gov www. noaa. gov

What do you do with it? n Recording data n Data tables Clear n Neat n Labeled and dated n Large enough to read and write on. n n Storage: computer and hard copies

How do you collect it? How do you organize it? n n Depends on the sources and type of data Student experiments require a plan for recording and tracking data. Neatness and clarity Internet data may be downloads or printouts.

How can you represent it? n n n Data tables Graphs Written explanations

Tables and graphs n n n Clear Labeled Neat Appropriate Match the type of data being collected

What is a graph n n A visual representation of data. Graphs should make the data easier to interpret and understand.

What are graphs? n Most common graphs Pie or circle n Bar n Double bar n Line n

Bar Graphs n n Comparing Less than 6 things Students are most comfortable making. Limits the analysis of data

Line Graphs n n Normally has time as a component Use to show changes More options for data analysis Shows trends

Activities on graphing n n n Class Openers or Bell Ringers Story in the lines Five minute filler Manipulating data Graphing projects – Raisin Boxes Analysis Real Time Data – Stream Data

What could this represent?

Is this graph possible?

Predicting with data

Predict what will happen on Day 6

Write a story about this graph.

Five minute fillers n n n Two methods Give the students a line graph have them suggest possible situations. Give students the situation and have them draw the graph.

Manipulating Data n n n Use a simple data set Divide the class in groups Have each group graph data use a different type of graph Have each group graph data use different scales but same type of graph Compare each group work

Other types of graphs n n n Stem leaf Picture graphs Circle graphs or pie charts Frequency tables Scatter plots

Data Projects n n Graphing data – Manipulating Data Analysis projects- Real Time Data, Raisin Box activity, Stream Data, Mining Data

How do you interpret the data? n Look for some of the following patterns Increasing or decreasing n Interval changes i. e. doubling, halves, etc n n n Observe time intervals and spacing of data Lack of patterns

How do you communicate the analysis? n A good analysis of an investigation should have the following elements Restate the experiment n Correctly identify patterns in data n Use data to answer a question or support or disprove the hypothesis n Identify any errors of limits in the data n

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