Mathematics 7: PreAlgebra
Units
Unit  Essential Questions  Content  Skills and Processes  Assessment  Resources  Multicultural Dimension 

NUMBER THEORY AND THE FUNDAMENTALS 
• How can the patterns and relationships around us be expressed mathematically? 
*VOCABULARY AND DEFINITIONS 
Factorization Prime factorization Use of Venn diagrams to observe the relationship between two numbers in terms of their prime factors, to determine the GCF, to see how other factors are created, and to determine the LCM (least common multiple) Placement of numbers onto the number line to gain an appreciation for their relative magnitude. Conversion of numbers from one placevalue system to another. 
Items in this concept area are embedded throughout the course and assessed in part throughout the year. 

DATA COLLECTION, ANALYSIS, AND GRAPHING 

*HYPOTHESIS: stating an initial hypothesis. Choose the type of data to collect based upon a chosen hypothesis or topic of investigation *DATA CHOICE and COLLECTION STRATEGIES: numerical/ nonnumerical data, absolute and relative measure, degree of accuracy, defining the population, random sampling. Collect data using appropriate measures and being mindful of degree of accuracy and significant figures and note sources of bias in the collection process *RAW DATA TALLY AND COLLATION: Organize collected data into data line plots, tally/frequency tables, spread sheets, or stemleaf plots. *STATISTICAL REPRESENTATION: measures of central tendencymean, median, mode, weighted averages; measures of spreadrange, outliers, 5number summary, interquartile range, range of normal, outliers.
*GRAPHING: *INTERPRETATION: Interpret data given in graphical form *PREDICTION:
*BASIC SKILLS: 
*Project includes a novel hypothesis, data collection and organization, visual display of graphs, and a onepage numerical analysis and conclusion to accompany the visual display 
*TI 30X multiview scientific calculators

*Dependent upon projects chosen 

RATIO, RATE, PROPORTION, PERCENT, AND PROBABILITY 
• How does the relative measure of data yield new insights? 
*MEASUREMENT: direct vs relative measure, units and abbreviations, categories, conversions between units/systems of measure 
*Covert between fractions, decimals, and percent 
*Problem solving group activities 
*Math Review: A Quick Reference Guide 
* Realworld examples and applications from a wide range of experiences and reflecting student solicited interest 
MEASUREMENT AND GEOMETRY 
By what descriptive and numerical measures can the spatial world be understood?

*MEASUREMENT: Know the English standard and metric units of and tools for measuring angles, number, location, length, area, volume, capacity, weight/mass, and temperature. *DIMENSIONS: 0, 1 , 2, and 3 dimensionals. * CARTESIAN COORDINATE SYSTEM: locating points in a plane and in space. *IDENTIFY, DESCRIBE, CLASSIFY, AND COMPARE points and 13 D structures: *FORMULAE: Surface area and volume of prisms, pyramids, cylinders, cones. *SPECIAL CHARACTERISTICS AND RELATIONSHIPS: *TRIANGLES: angle measurement, Pythagorean Theorem, similarity, trigonometric ratios (sin, cos, tan), angle of depression and elevation * CIRCLES: pi, radius, diameter, and circumference relationships, areausing the formulae and deriving the formula *STRUCTURAL CONSEQUENCES: hexagons, honeycombs

* MEASURE: use appropriate tools to directly measure geometric figures, indirectly measure using appropriate formulae 
*Poster illustrating the affect of a linear change on area and volume 
* art and cultures connections 

ALGEBRA: EXPRESSIONS AND EQUATIONS 
• How can the patterns and relationships around us be expressed mathematically? 
*VOCABULARY OF ALGEBRAIC EXPRESSIONS AND EQUATIONS 
* SIMPLIFY: simplify algebraic expressions by combining like terms, using the distributive property, multiplication and division of monomial and polynomial expressions 
* group and individual assessment of the basic skills and concepts of algebra as well as projects involving application and algebraic problemsolving 
* Math on Call 
* application questions for this unit are taken from a wide range of experiences and interests 