7th+curriculum+maps

Teacher’s Name McLaughlin/Wagner/Doody School Middle Grade Level/Course 7/Math 10/11 Year Curriculum Map

4. Adding Integers - add, integers - compare and order integers - subtract, multiply, and divide integers - evaluate expressions involving integers || - //__review__// variables, writing expressions using key words - solve and check 1 and 2 step equations using inverse operations -, identity elements for addition & multiplication) - apply the rules for order of operations (PEMDAS) to solve problems  - understand & solve problems involving positive exponents  - solving word problems using algebraic equations || - understand the properties (commutative, associative, distributive, additive & multiplicative inverse - express numbers in scientific notation (using both positive and negative exponents) - compare and order rational and irrational #’s on and off of a number line - // review // the rules of divisibility for 2, 3, 5, 6, 9, and 10 - identify and apply the rules of divisibility for 4 and 8 - identify prime and composite numbers - identify the prime factorization, and greatest common factor - find the lcm and gcf of 2 or more numbers - express negative exponents (with a base of 10) as decimals and fractions - recognize and state the square root of a perfect square up to 225 - determine the square root of non-perfect squares using a calculator - classify irrational numbers as non-repeating or non-terminating decimals - approximate square roots by identifying the 2 whole numbers it falls between - distinguish between subsets of real numbers (counting, natural - #’s, whole #’s, integers, rational & irrational numbers) - recognize the difference between rational and irrational #’s (ex. Explore different approximations of PI) - place rational & irrational #’s on a number line - develop the rules for multiplying & dividing exponents -
 * || September || October || November || December ||
 * Unit Title/Theme || # Integers || # Algebra || # Number Theory
 * 1) Rational and Irrational Numbers || # Decimals
 * 2) Number Theory ||
 * Related Literature ||  ||   ||   ||   ||
 * Content (include specific vocabulary) || # Ordering and Identifying Integers
 * 1) Opposite Integers
 * 2) Absolute value
 * 1) Subtract Integers
 * 2) Multiply Integers
 * 3) Divide Integers || # Formulas & Variables
 * 4) PEMDAS (Order of Operations)
 * 5) Formula, variable substitution
 * 6) Writing Expressions
 * 7) Writing Equations
 * 8) Solve 1-Step Equations
 * 9) Solve 2-Step Equations
 * 10) Write Inequalities
 * 11) Solve and Graph Inequalities || # Number Properties
 * 12) Divisibility Rules
 * 13) Prime Factorization
 * 14) Greatest Common Factor
 * 15) Least Common Multiple
 * 16) Scientific Notation of Large and Small Numbers
 * 17) Multiplying Exponents with the same base
 * 18) Dividing Exponents with the same base
 * 19) Zero and Negative Exponents
 * 20) Perfect Squares
 * 21) Estimating Square Roots
 * 22) Classifying Real #’s, Rational #’s and Irrational #’s
 * 23) Ordering and Comparing Rational and Irrational #’s
 * 24) Ordering Rational and Irrational Numbers on a number line || # Add decimals and fractions
 * 25) Subtract decimals and fractions
 * 26) Multiply decimals and fractions
 * 27) Divide Decimals and fractions
 * 28) Add, subtract, Multiply, and divide decimals and fractions with positives and negatives ||
 * Skills || - determine absolute value of numbers

- || - //__review__// the procedures for adding, subtracting, multiplying, and dividing decimals and fractions - solve word problems involving (+, -, x, ¸ ) decimals and fractions - perform operations with positive and negative decimals and fractions ||
 * Assessments || # Unit Tests
 * 1) Quizzes
 * 2) Teacher observations
 * 3) student response
 * 4) Classwork
 * 5) Homework || # Unit Tests
 * 6) Quizzes
 * 7) Teacher observations
 * 8) student response
 * 9) Classwork
 * 10) Homework || # Unit Tests
 * 11) Quizzes
 * 12) Teacher observations
 * 13) student response
 * 14) Classwork
 * 15) Homework || # Unit Tests
 * 16) Quizzes
 * 17) Teacher observations
 * 18) student response
 * 19) Classwork
 * 20) Homework ||

= Curriculum Map =

(define polynomial) 7. Solve equations by combining like terms 8. Apply the distributive property 9. Solve equations by applying the distributive property 10. Solve equations with variables on both sides of the equal sign || # Ratios, rates and unit rates - display data in a circle graph - draw central angles in a circle using a protractor - convert raw data into double line & bar graphs - calculate the range for a given set of data - identify and select an appropriate measure of central tendency (mean, median, mode, range) - read & interpret data represented graphically (pictograph, bar, line, circle, double bar, histogram) - identify & explain misleading statistics & graphs || - convert capacities & volume within given systems - identify customary & metric units of mass - convert mass within a given system - determine the tool & technique to measure mass - identify the relationship between relative error and magnitude when dealing with large numbers - determine personal references for customary & metric units of mass - justify the reasonableness of the mass of an object - - area and perimeter of squares, rectangles, parallelograms, triangles, and trapezoids , and circles (area and circumference) - calculate the radius or the diameter when given the area or circumference. - Calculate the volume of cylinders & prisms given the formula using a calculator - Identify the bases of 3D shapes (nets) - Determine the surface area of prisms and cylinders using calculators and a variety of methods (nets) - Find the missing angle when given angles of a quadrilateral - use a protractor to measure and construct angles - classify triangles, quadrilaterals and other types of polygons by their sides and angles || - <span style="font-family: 'Times New (W1)'; font-size: 11pt;">- add & subtract monomials with exponents of 1 - identify polynomials - solve and check multi-step equations (combine like terms, variables on both sides, applying the distributive property) || - write ratio three ways and proportions as fractions - use ratio, rates, unit rates and proportions to compare and contrast sets of data <span style="font-family: 'Times New (W1)'; font-size: 11pt;">- calculate distance using a map scale - calculate unit price using proportions - compare unit prices - make scale drawings - solve proportions by using equivalent fractions and cross products - determine if two figures are similar by setting up and solving proportions - use proportions to solve word problems involving scales, maps, and recipes ||
 * || January || February || March || April ||
 * Unit Title/Theme || # Statisitics || # Conversions
 * 1) Geometry || # Probability
 * 2) Algebra || # Ratio/Proportion ||
 * Related Literature ||  ||   ||   ||   ||
 * Content (include specific vocabulary) || # Mean, Median, Mode and Range
 * 1) Frequency Tables
 * 2) Interpret graphs
 * 3) Identify and Collect data
 * 4) Misleading graphs
 * 5) Double Bar and Double Line Graphs
 * 6) Circle Graphs
 * 7) Venn Diagrams || # Customary Conversions
 * 8) Metric Conversions
 * 9) Area and Perimeter
 * 10) Algebra with Area and Perimeter
 * 11) Classify Triangles and Quadrilateral
 * 12) Idenitify parts of right triangle (legs, hypotenuse)
 * 13) Use PythagoreanTheorem to determine length of missing side
 * 14) Use Pythagorean Theorem to determine if 3 sides form a right triangle
 * 15) 2-D and 3-D figures
 * 16) Surface Area of Prisms and Cylinders
 * 17) Volume of Prisms and Cylinders
 * 18) Estimating Surface Area || # Probability, Tree Diagrams and counting principle
 * 19) Probability of Independent Events
 * 20) Probability of Dependant Events
 * 21) Experimental and Theoretical Probability
 * 22) Solve and Check 1 and 2 step fraction, decimal and integer equations
 * 23) Combine Like Terms
 * 1) check validity of a proportion
 * 2) solve a proportion
 * 3) Set up and solve word problems using proportions
 * 4) Scale Drawings
 * 5) Similar Figures ||
 * Skills || <span style="font-family: 'Times New (W1)'; font-size: 11pt;">- - identify & collect data using a variety of methods
 * Assessments || # Unit Tests
 * 1) Quizzes
 * 2) Teacher observations
 * 3) student response
 * 4) Classwork
 * 5) Homework || # Unit Tests
 * 6) Quizzes
 * 7) Teacher observations
 * 8) student response
 * 9) Classwork
 * 10) Homework || # Unit Tests
 * 11) Quizzes
 * 12) Teacher observations
 * 13) student response
 * 14) Classwork
 * 15) Homework || # Unit Tests
 * 16) Quizzes
 * 17) Teacher observations
 * 18) student response
 * 19) Classwork
 * 20) Homework ||

= Curriculum Map =

complementary) ||  ||   ||   ||
 * || May || June ||  ||   ||
 * Unit Title/Theme || # Geometry || 1. Review for Final Exam ||  ||   ||
 * Related Literature ||  ||   ||   ||   ||
 * Content (include specific vocabulary) || # Classify complementary and supplementary angles
 * 1) Classify Lines and Angles
 * 2) Find angle measures with relationships (complementary, supplementary, vertical, angles in a triangle, adjacent)
 * 3) Angle relationships when 2 parallel lines are cut by a transversal (alt interior, alt exterior, vertical, supplementary, corresponding) || # Review for Final Exam ||   ||   ||
 * Skills || - identify & apply angle relationships to find missing angles (vertical, corresponding, alternate interior, alternate exterior, supplementary, &
 * Assessments || # Unit Test
 * 1) Quizzes
 * 2) Teacher observations
 * 3) student response
 * 4) Classwork
 * 5) Homework || # Unit Tests
 * 6) Quizzes
 * 7) Teacher observations
 * 8) student response
 * 9) Classwork
 * 10) Homework ||   ||   ||