Prime Time 
 In what way are prime numbers the foundation of all arithmetic?
 What are prime numbers and how are they different from composite numbers?
 How can prime numbers be used to help with calculating Least Common Multiple and Greatest Common Factors

 The Fundamental Theorem of Arithmetic
 Prime numbers vs. Composite Numbers
 Square numbers
 Perfect numbers
 Abundant numbers vs. Deficient Numbers
 How Venn diagrams communicate information
 Proper Factors vs. Factors
 Prime Factorization
 Positive Exponents
 Even vs. Odd Numbers
 Definition of product, multiple, factor, divisor

 Calculate Greatest Common Factor (GCF)
 Calculate Least Common Multiple (LCM)
 Use Venn Diagrams to determine GCF and LCM
 Use the rectangle method and rainbow method to factor numbers
 Use trees and upsidedown cakes to find prime factorization
 Solve story problems requiring GCF and LCM; recognize what type of situation demands the calculation of one of these
 Use exponents in prime factorization

 Favorite Number Forever (FNF) Project
 Written Test
 Locker Problem, Mystery Numbers, Product Mazes, puzzles, games and story problems

Prime Time  Connected Math/MSU 
Famous people and historical events from around the world. 
 Historical events (Humanities) that happened in the same year as each student's FNF
 Contributions of famous people (Humanities) who were born on the same day as each student's FNF
 Atomic Elements (Science) with the same number as each student's FNF
 Shakespearean sonnets (English) with the same number as each student's FNF
 Visual display (Art) created for each students's FNF
 Famous athletes (PE) whose jersey number is the same number as each student's FNF
 Be able to pronounce and write your FNF in a foreign language.

Measurement and the Metric System 
 How and why did systems of measurement first evolve?
 How and why was the metric system invented?
 Why is it important to learn the metric system?
 How is the metric system different from and similar to our system?
 What are the units of measurement in the metric system?

 History of measurement
 Evolution of the English Customary System
 Units of measure in the Customary System
 Design, invention and history of the Metric System
 The difference between Length, Volume, Mass and Weight
 Units of measure in the Metric System and how they were defined
 Metric prefixes and symbols
 Advantages of the metric system

 Powers of ten; exponent review
 Decimal place value
 Estimating quantities in metric units
 Converting between units within each system
 Use of appropriate measuring tools
 <Introduction to negative exponents and scientific notation>

 Metric PreTest
 Estimetrics Game
 Watermelon Relay Team Test
 Written Test

 EQUALS Watermelon Activity
 Estimetrics  CSUS
 Internet
 Powers of Ten DVD

 Evolution of measurement in different cultures; universality of measurement
 Historical development of the English Customary System
 Historical development of the Metric System in France
 International usage of the Metric System

 Use of the metric system in science
 Use of lab equipment for measuring
 Historical development of measurement (6th grade humanities)
 Calibration of the human body (6th grade science)

Geometry 
 How has geometry inspired artists?
 How is geometry used in product design and graphic arts?
 How are geometric shapes defined and classified by their properties?
 Where did the Platonic Solids come from?

 Definitions for line, segment, ray, angle (acute, obtuse, right), complementary/supplementary angles, intersecting/parallel lines, regular/irregular polygons, circle, triangles (scalene, isoceles, right), quadrilaterals (parallelograms, rectangles, squares, rhombus, trapezoid), and the relationship between the terms.
 Platonic solids and their relationship to each other, Euler's Law relating edges and vertices
 Similarity vs. Congruence
 Symbols for geometric terms
 Types & properties of triangles and quadrilaterals
 Formulas for finding area of quadrilaterals, triangles, and circles and how were they derived

*Find missing angle measurements using complementary/supplementary properties, and 180 in a triangle and a line
*Calculate the degrees in a polygon and find each angle measurement for regular shapes
*Measure and draw angles accurately with a protractor
*Explain the differences between different types of triangles and quadrilaterals; know the properties of each
*Use the correct formulas for finding area of 2D shapes: quadrilaterals, triangles, circles
*Build platonic solids and combine various shapes 
 Written Test
 Geometry Story: Write a short story that uses geometric shapes and properties symbolically (e.g. A love letter from a square to a circle)
 Straw Polyhedra Project
 Design packaging for a new product  find surface area from the 2D shapes that make the sides of the package.

 Protractors, rulers, geometric shape kits (plastic/cutout), tangram sets
 Tangram sets
 Origami constructions
 <Straw Polyhedra>
 Flatland by Edwin Abbott

Extensions: Read Flatland  This book symbolically uses geometric shapes to connect with the social issues of caste systems and fairness.

 Product design and packaging (Arts and Engineering)
 Evolution of the Platonic Solids (Math History)
 Geometry Story (Language Arts)
 Extensions: Read Flatland. (Language Arts and Humanities)

Intro to Computer Programming 
 How is computer programming important in today's society?
 How do gender differences impact participation in this field?
 What is the basic structure and concepts of computer programming?
 How are creative thinking, logical reasoning and problemsolving used in computer programming?

 Statistics on the participation of women in computer science.
 Uses of computer programming in today's society
 Types of programming commands/blocks: Controls, Sensing, Operators, Loops, waits, reporters, variables, sounds, motion, appearance, broadcasts, lists, strings, boolean values
 Elements of the software interface
 Options in the paint editor

 create sprites
 create costumes
 create stages
 create scripts using various types of programming blocks
 add sounds, photos, images from the internet
 animate people/objects in a scene
 use the paint editor

 Holiday ecard Project
 Rubric for assessing SCRATCH programs
 Gender Based Attitude Survey

 PowerPoint on the State of Computer Programming in the US
 SCRATCH  MIT

Genderbased unit 
Art, design, problemsolving, technology, linear and logical thinking 
Statistics and Data Analysis 
 How is information conveyed through statistics?
 How does the format of the statistic affect the message communicated?
 How can you critically evaluate statistical information?

 Definition of: mean, median, mode, range, and outlier; explain how to find each
 How an outlier may impact the mean
 When a median or mode might be more accurate or informative than the mean (Bill Gates example)
 How to talk back to a statistic. What questions should you ask?
 The difference between a random and biased sample
 How a graph can be misleading, and how it could be made honest
 The impact of sample size on statistics
 Design considerations when developing a survey or gathering data

*Review decimal arithmetic, especially division and estimation
*Calculate mean, median, mode, and range for a set of data in numerical list and graph forms
*Identify population & sample size
*Calculate the percent of a total and create a pie chart representation
*Review rounding decimal numbers, using a protractor to measure degrees, and fractiondecimal% conversions
*Extract information from a bar, line, or pie graph, and use it to make decisions
*Create misleading bar, line, and picto graphs
*Distinguish between unbiased and biased surveys 
Written Test:
Statistics Survey: Choose a question to investigate, conduct a survey, create honest & misleading graphs; present the results
Graph Evaluation: Find three misleading graphs (newspaper, Internet); describe how it is misleading, how to make it more misleading, & how to make it more truthful

The Sneaker Problem and McDonalds (ranking information and making decisions)
Worksheets on mean, median, mode, outliers, line/bar/pie graphs
How to Lie with Statistics by Darrell Huff
Is Democracy Fair? by Leslie Johnson Nielsen and Michael de Villiers (different voting systems and ways of counting ballots)
USA Today web site Snapshots
Misleading graph images (online and printed)
GraphMaster software for creating line, bar, and pie graphs 

Social Studies and Science examples of misleading and appropriate statistics 
Fractions, Ratios, and Probability 
 How do fractions relate to percents and ratios
 How do ratios relate to probability?
 How does probability relate to the "fairness" of a game or situation?

 Compare two fractions with different denominators
 Define: fraction, lowest terms, improper fraction, numerator, denominator, equivalent fractions
 Theoretical and experimental probability
 Relationship between P(A) and the P(not A)
 Logical operators affect counting
 Percent
 Factors that may influence a game or experiment

 Perform probability experiments, collect and analyze results to determine experimental probability
 Calculate theoretical probability for a given situation, including the use of logical (and, or, not) operators
 Create systematic lists as a method for counting possibilities
 Perform fraction arithmetic operations on fractions and mixed numbers, also be able to reduce fractions, convert to/from mixed numbers, and compare fractions
 Convert between fractions, decimals, and percents
 Determine a definition for fairness
 Decide whether a game or situation is fair (consider probability, value, influences)
 Calculate the probability of dartboards using area

*Test: Fraction arithmetic, reducing, comparing fractions, definitions
*Test: Probability and Percents. Convert between fraction/decimal/percent, calculate probabilities, list factors that may affect the experimental probability of a game
*Create a game in which the theoretical and experimental probabilities are the same (i.e., eliminate the external influences) 
Fraction arithmetic worksheets
Probability books: handouts, games, worksheets
What is Fair? activity
Crossing the River with Dogs  Problem Solving 

