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CURRICULUM MAP for 7th grade math 2005 By Clifford Lee Moore MONTH ESSENTIAL QUESTIONS How do you solve a story problem? What are the metric system and the customary system? How do you set up and solve a proportion? How do you collect, record and analyze data from tables, charts and graphs? How do you use logic to solve problems? TOPIC Measurement Ratio Proportion Story Problems CONTENT (Terminology) Metric/English Accuracy Sensible SKILLS Solve and apply crossproducts. Review measuring in the Metric and English System. Establish what a sensible and accurate answer is in a problem. Make, use and decide what of graph to construct from collected data. Calculate mean, median, mode, range and outlier. Examine bias questions and graphs. Investigate data and graphs and make a prediction. Review place value, rounding, comparing, adding, subtracting, multiplying, and dividing decimals. Memorize and learn to use the properties of numbers. Learn problem solving strategies. Classify decimals as terminating or repeating. Calculate multi-step STANDARDS 7A32 7M11 7N12 7S11 ASSESSMENT Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion August September September – October Interpreting Data and Statistics Data, Statistics, mean, median, mode, range, outlier, frequency, types of graphs, intervals 7A41 7N11 7S11 7S12 October – November Describe how to compare, add, subtract, multiply, and divide decimals? How to recognize and illustrate properties of addition and multiplication? Give a problem which has too much or too little information? Application of Decimals Order of Operations Properties of Numbers Place Value, Rounding, Estimating, Accuracy, Terminating, Repeating 7A12 7N21 7N11 7N31 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 1 Explain. What are integers and when will I use them? How do I add, subtract, multiply and divide them? How do you model, write and solve equations? How do you use a table to problem solve? Show how to model and write fractions? Demonstrate how to change fractions to decimals or percents and vise versa? What is the order of operations of multistep problems? How do you use patterns to help solve problems? Integers and Equations Positive, Negative, Opposites, Absolute Value, Additive Inverse November December December January Number Theory Fractions Exponents Prime, Composite, Factorization, Simplest Form, Improper Fraction and Mixed Fraction, LCM, GFC, and Exponents problems using properties and order of operations. Solve problems involving integers. Investigate opposites, absolute value, and additive inverses. Write and evaluate variable expressions. Write and solve multi-step equations using the undoing process. Investigate prime, composite, and factorization, LCM, and GCF. Compare and ordering fractions using equivalent fractions. Finding prime factorization, LCM, GCF, and equivalent fractions. Changing mixed numbers to improper fractions and back again. Writing fractions as decimals and/or percents. Engage in solving exponents 7A11 7A21 7N21 7N31 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 7N12 7N21 7N31 7S21 7A11 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 2 JanuaryFebruary Describe how to solve equations using fractions and mixed numbers. What are the differences and similarities between the metric system and the customary system? How do you set up and solve a proportion? Explain how to use multiple steps to solve a problem? Application of Fractions Proportions Percents Measurements Denominator Numerator Mixed Fractions Improper Fractions Simplest Form Reciprocal Cross Product Unit Price/Rate Scale Drawings And Similar Figures Review adding, subtracting, multiplying, and dividing of fractions. Estimating sums, differences, products, and quotients. Compare unit prices and rates. Produce and devise cross products to solve problems. Apply cross products. Discover properties of similar figure measurements. 7N12 7N21 7N31 7A32 7N11 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion February March What are a term and its parts? How do you simplify an algebraic equation? How do you classify geometric figures? How do you construct bisectors and perpendiculars? How do you use diagrams to problem solve? Algebra Geometry Measurement Variable Coefficient Constant Like Terms Unlike Terms Simplify Basic Geometric Figures Two-Three Dimensional Figures Classify Bisect Perpendicular Simplify equations. Balance equations. Investigate variables, like and unlike terms, and polynomials. Classify and measure angles. Classify polygons according to sides and angles. Investigate circles and their parts. Discuss congruency and corresponding parts. Construct bisectors or angles and segments. 7N12 7N21 7N31 7A32 7N11 7A21 7G11 7G12 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 3 March April April May How do you find perimeter, area (including surface area) and volume of various geometric figures? What is the Pythagorean theory and how do you use it? Explain how to use the guess and test method of problem solving? Explain and describe how to find and use probabilities. What is the difference the between a permutation and a combination? How would you use a simulation to solve a problem? What are the types of sequences? What is a function? How do you write in scientific notation? How can you use simpler problems to solve a more complex problem? Geometric Measurement Area Perimeter Volume Circumference Diameter Radius Cord Investigate formulas of perimeter, area, and volume of basic geometric figures. Identify parts of two and three dimensional figures. Use square roots to solve Pythagorean Theorem. Use Pythagorean Theorem to find the third side of a right triangle. Find experimental probability, theoretical probability, and probability of a complement. Finding the probability of independent/dependent events. Use the counting principle to solve problems. Determine whether an event is dependent or independent. Discuss combinations and permutations. Differentiate between sequences. Learn scientific notation. Apply simple and compound interest. Use tables, rules, and graphs to predict patterns and functions. 7G11 7G12 7M11 7M12 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion Probability and Patterns Functions and Notations Trial Experimental Probability Theoretical Probability Counting Principle Complement Permutation Combination Independent/Dependent Events Outcome Odds 7A41 7S11 7N11 7N12 7N21 7N31 7S31 7S12 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 4 May Describe a coordinate plane and its parts. What is and how do you find slope? What are a translation, a rotation, and a reflection? Write an equation to solve a problem? Coordinate Graphing and Linear Equations X-Axis Y-Axis Origin Translations Flip, Slide, and Turn Slope Line Point Quadrants Symmetry Learn parts and principles of coordinate planes. Use ordered pairs for finding slope, linear equations, and graphing relationships. Distinguish relationships of parabolas and other non linear equations. Investigate symmetry, rotations, translations, and reflections. Investigate graphing translations and writing a rule for them. Identifying lines of symmetry. 7A31 7A41 7G21 7A11 7N11 7N12 7N21 Book Problems Worksheets Lab Work Daily Practice Quizzes/Tests Discussion 5