Berlin Community School 7 Pre Algebra -Advanced Teacher: Middle School (6-8) Math Month September 2009 October 2009 Content Skills Assessment A) Measurement -Units of measure -devises for measuring -Metric units -- length, mass, volume -Estimating A) Add & subtract different units within a measurement system -Choose correct devise to measure Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program B) Geometry -Triangles, squares, rectangles, parallelograms, trapezoids and complex figures -Circles -Concept of similarity - Indirect measurement - Pythagorean Theorum B) Develop and apply formulas for finding perimeter, area, circumference -Apply properties of regular polygons B) Create a scale drawing, & a 3D models B) Apply proportion to prove similarity B) Scale drawing, Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program C) Algebra - Integers C) Adding, subtracting, multipling, dividing, and compare - Rewrite expressions and equations from verbal phrases and sentences - Determine Absolute value A) Algebra - Integers - Order of Operations A) Adding, subtracting, multipling, dividing, and compare - Rewrite expressions and equations from verbal phrases and sentences - Determine Absolute value B) Rational Numbers - Fractions, Decimals, Percents - Powers and Exponents - Scientific notation B) Express rational nmbers as decimals and decimals as fractions - Compare and order - Add, subtract, multiply and divide - Solve equations - Express numbers in standard and scientific notation (positive and negative exponents) Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Materials Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Rulers, Yard Sticks, meter sticks, Tape measures, Electronic Measure, Scales, cups, pyramids, cones, cylinders, prisms, rope, tape - Formula sheet - Calculators - White boards - Accelerated Math Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Accelerated Math www.curriculummapper.com 1 of 4 7 Pre Algebra -Advanced Math Month November 2009 December 2009 January Content Skills A) Real Numbers - Square roots - Venn diagrams - Pythagorean Theorem - Vertex-edge graph A) Identify and classify numbers - find square roota of perfect squares - Estimate square roots - Create and interpret Venn diagrams - Find shortest route between two points and within a network B) Proportions - Ratios and Rates - Rate of Change - Slope - Dilations B) Express ratios as fractions - determine unit raes - Identify and find rate of change - Graph dilations, classify and scale using scale factors C) Percent - Ratios - Fractions, Decimals and Percents - Percent Equation - Percent Change - Estimate - Simple and Compound Interest C) Rewrite ratios as percents & vice versa - Show relationship beteen fractions, decimals and percents - Estimate and solve percent problems - Relate earnings between invested amounts using simple and compound interest formulas A) Percent - Ratios - Fractions, Decimals and Percents - Percent Equation - Percent Change - Estimate - Simple and Compound Interest A) Rewrite ratios as percents & vice versa - Show relationship beteen fractions, decimals and percents - Estimate and solve percent problems - Relate earnings between invested amounts using simple and compound interest formulas B) Probability and Statistics - Simple and Compound Events - Permutations & Combinations - Theoretical and Experimental Probability B) Determine probabilities of simple and compound events - Apply the multiplicatoin principle of counting - Describe the concepts of permutations and combinations - Predict outcomes based on theoretical and experiental probabilities A) Identify angles & relationships of A) Geometry Berlin Community School Assessment Materials Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program - Spreadsheets Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers - Accelerated Math Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program - Spreadsheets Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers - Accelerated Math Teacher Observation-whiteboards, Tests, Mathematics: Applications and Concepts, www.curriculummapper.com 2 of 4 7 Pre Algebra -Advanced Math Month 2010 Content - Angles - Symmetry - Translations, reflections, rotations - Volume & Surface Area of 3-D shapes B) Data Analysis - Graphs - Measures of Central Tendency February 2010 Skills angles - Model and quantify transformations, reflections and rotations a four quadrant graph - Develop and apply strategies for finding volume and surface area of 3-D shapes Berlin Community School Assessment Materials Quizzes, Accelerated Math Program Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers - Accelerated Math Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers - Accelerated Math Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards - Graph paper - Computers B) Construct and interpret Histograms, Circle Graphs, Bar, & Line Graphs, Box and Whisker plots - Select appropriate representation for sets of data A) Data Analysis - Graphs - Measures of Central Tendency A) Construct and interpret Histograms, Circle Graphs, Bar, & Line Graphs, Box and Whisker plots - Select appropriate representation for sets of data B) Algebra: - Two-Step Equations - Inequalities B) Solve using addition, subtraction, ultiplication and division - Re-write equations that represent real life situations - Write, solve and graph inequalities A) Real numbers & Algebra: - Proportions, Percents - Geometry - Probability - Data Analysis March 2010 A) Review of all standards April 2010 A) Algebra - Linear Functions A) Discover and extend sequences - Complete and graph function tables - Find the slope of a line using the slope formula - Graph linear equations - Construct and interpret scatter plots Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program May 2010 A) Algebra: - Nonlinear functions - Polynomials A) Determine if a function is linear or nonlinear - Graph quadratic functions - Simplify, add, & subtract, polynomials Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Calculators - White boards www.curriculummapper.com 3 of 4 7 Pre Algebra -Advanced Math Month Content Skills Berlin Community School Assessment - Multiply & divide monomials - Multiply monomials and polynomials June 2010 A) Polynimials A) Add, subtract, multiply and divide polynimials Materials - Graph paper - Computers Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Smart board - White boards - workbook www.curriculummapper.com 4 of 4