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Berlin Community School 7 Pre Algebra(Master) Teacher: Middle School (6-8) Math Month September 2009 Content Skills 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 B) Algebra: Integers B) Solve by adding, subtracting, multiplying and dividing A) Descibe and give examples of additive and multiplicative inverse Assessment A) Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program B. Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Materials A-B) Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Rulers, Yard Sticks, meter sticks, Tape measures, Electronic Measure, Scales, cups, pyramids, cones, cylinders, prisms, rope, tape - Formula Sheet --Accelerated Math B) Develop and apply formulas for finding perimeter, area, circumference -Apply properties of regular polygons - Recognize relationship in volume of cone or pramid to a cylinder and prism with same base and height B) Create a scale drawing, & a 3D models B) Apply proportion to prove similarity October 2009 A) Geometry -Triangles, squares, rectangles, parallelograms, trapezoids and complex figures -Circles -Concept of similarity - Indirect measurement -Cones, pyramids and cylinders and prism A) Develop and apply formulas for finding perimeter, area, circumference -Apply properties of regular polygons - Recognize relationship in volume of cone or pramid to a cylinder and prism with same base and height A) Create a scale drawing, & a 3D models A) Apply proportion to prove similarity A) Scale drawing, Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program A) Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 -Whiteboards - Graph Paper, Construction Paper - Calculators -Geometers Sketchboard -Accelerated Math www.curriculummapper.com 1 of 5 7 Pre Algebra(Master) Math Month November 2009 Content Berlin Community School Skills A) Number Sense - Powers and exponents - Order of Operations A) Evaluate in standard and exponential form A) explain and solve math problems B) Algebra - Variables, Expressions, Equations, Properties B) Evaluate simple Algebraic expressions and equations B) Classify and differentiate according to the property C) Sequences - Arithmetic, Geometric, finite and infinite D) Data Analysis - Mean, Median and Mode -Frequency Tables, Line Plots, Stem and Leaf Plots, Box and Whisker Plots, Bar Graphs, Histograms, Multiple Line, Multiple Bar,and Misleading Graphs Assessment A-C) Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Materials Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 -Whiteboards - Calculators - Graph Paper, Construction Paper -Computers to create graph after entering data -Accelerated Math C) Descibe patterns C) Identify the missing terms D) Construct, organize and interpret graphs D) Forecast using existing data D) Recognize misleading graphs/data D) Record and process data D) Select most appropriate display for the data D) Graphs, Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program www.curriculummapper.com 2 of 5 7 Pre Algebra(Master) Math Month December 2009 Content Skills A) Data Analysis - Mean, Median and Mode -Frequency Tables, Line Plots, Stem and Leaf Plots, Box and Whisker Plots, Bar Graphs, Histograms, Multiple Line, Multiple Bar,and Misleading Graphs A) Construct, organize and interpret graphs A) Forecast using existing data A) Recognize misleading graphs/data A) Record and process data A) Select most appropriate display for the data B) Integers -Absolute Value B) Determine absolute value B) Add, Subtract, Multiply, Divide, and Compare C) Geometry - Coordinate Plane January 2010 Berlin Community School C) Show/locate points on graph D) Algebra: - Linear equations - Functions D) Rewrite sentences as simple algebraic expressions and equations - Solve addition, subtraction, multiplication equations - Solve two-step equations - Describe, graph and solve inequalities - Interpret and graph linear equations - Describe the slope of a line A) Algebra: - Linear equations - Functions A) Rewrite sentences as simple algebraic expressions and equations - Solve addition, subtraction, multiplication equations - Solve two-step equations - Describe, graph and solve inequalities - Interpret and graph linear equations - Describe the slope of a line Assessment Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, Materials Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Graph paper -Accelerated Math C) Graphs, Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Graph paper - Accelerated Math www.curriculummapper.com 3 of 5 7 Pre Algebra(Master) Math Month February 2010 March 2010 Content Berlin Community School Skills B) Fractions, Decimals, and Percents B) Compare and order numbers of all types, - Point out that fractions, decimals and percents are equivalent forms of the same number - Extend understanding of numbers A) Ratios and Proportions - Rates, Rate of Change, Percents, Percent Proportion, A) Rewrite ratios as fractions - Recognize equivalent ratios - Explain rates and unit rates - Solve proportions - Show less than 1% and greater than 100%. B) Applying Percent - Percent Equation - Percent of Change - Sales Tax, Discount, Simple and Compound Interest. B) Estimate using fractions, decimals, and graphs - hypothesize results of larger group by using a sample - Solve real world problems involving Percent equation, Percent of Change, Sales Tax, Discount, Simple and Compound Interest A) Applying Percent - Percent Equation - Percent of Change - Sales Tax, Discount, Simple and Compound Interest. A) Estimate using fractions, decimals, and graphs - hypothesize results of larger group by using a sample - Solve real world problems involving Percent equation, Percent of Change, Sales Tax, Discount, Simple and Compound Interest B) Probability - Theoretical and Experimental - Independent and dependent events B) Solve probability of a simple and compound event - Distinguish between theoretical and Assessment Materials Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Graph paper - Accelerated Math Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Calculators - Dice, cards, spinners and color tiles - Accelerated Math www.curriculummapper.com 4 of 5 7 Pre Algebra(Master) Math Month Content Berlin Community School Skills Assessment - Fundamental Counting Principal, - Permutations experimental and dependent and independent - Analyze the "fairness" of a game - Apply techniques of systematic listing, counting and reasoning. April 2010 A) Geometry - Translations, Rotations and Reflections A) Sketch the post-image given the preimage - Illustrate moves on a grid Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, May 2010 A) Algebra - Squares and Square roots A) Estimate Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, B) Geometry - Pythagorean theorem - Three-Dimensional figures - Angles B) Find hypotenuse and legs of right triangles - Develop and apply stategies for finding surface area and volume - Apply concepts involving lines, angles and planes A) Algebra -- Polynomials A) - - Add subtract polynomials June 2010 B) -- Multiply monomials and polynomials Teacher Observation-whiteboards, Tests, Quizzes, Accelerated Math Program, Materials Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Calculators - Graph Paper Mathematics: Applications and Concepts, Glencoe, Course 2, 2006 - Whiteboards - Calculators - Graph Paper - Accelerated Math Mathematics: Applications and Concepts, Glencoe, Course 3, 2006 - Whiteboards - Calculators - workbook www.curriculummapper.com 5 of 5