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1 Mercer County Schools PRIORITIZED CURRICULUM Mathematics Content Maps Grade 8
2 Mercer County Schools PRIORITIZED CURRICULUM The Mercer County Schools Prioritized Curriculum is composed of West Virginia Content Standards and Objectives that have been identified as "Essential, Important, and Nice to Know." The Essential and Important objectives, which are aligned to the WESTEST, must be learned by the student in order to ensure his/her success. Therefore, the majority of instructional time (90% - 95%) must be devoted to the mastery of these objectives. To assist you with your instructional planning, the Prioritized Curriculum is divided into learning units (Content Maps) creating an instructional sequence and estimated time for delivering the intended/learned curriculum.
3 C O N C E P T M A P MATH - Grade 8 Suggested Sequence: 1. Number Operations 2. Number Relationships 3. Proportional Reasoning 4. Expressions, Equations and Inequalities 5. Geometry 6. Data Analysis and Probability
4 Key Concepts: estimated days to complete - 15 Prerequisites: Integers Coordinate system Topic: Number Operations CSOs: power exponent Exponents Square Roots factor There is a specific meaning to mathematical symbols and exponents and an order for the calculation of a numerical expression. perfect square base Scientific Notation principal square root estimating square roots Is there more than one correct answer to the same math problem? radical Order of Operations Absolute value Sequences Calculator Checks scientific notation Manipulatives & Models substitute solution numerical expression open sentence replacement set Technology Activities I-know website sequence (arithmetic, geometric, Fibonacci)
5 Key Concepts: estimated days to complete - 15 Rational numbers Fraction to decimal Decimal to fraction Decimal to percent Percent to decimal Fraction to percent Percent to fraction Topic: Number Relationships CSOs: This is embedded throughout book and will need to be emphasized as needed. A part of a whole can be expressed as a decimal, fraction, or percent. place value repeating terminating real / rational / irrational integer/ whole / natural Finding percents Percents & estimates simplify How many ways can you model parts of a whole? fraction Compare & order fractions, decimals, and percents Apply fractions, decimals and percents Shopping Activities Manipulatives & Models decimal percent Calculator & Technology activities I-Know website
6 Key Concepts: estimated days to complete - 25 Ratio, rates, percents (review) Topic: Proportional Reasoning CSOs: ratio rate & unit rate percent proportion Solve proportions Create a proportion and solve cross product Proportions are a tool for calculating percents and finding missing pieces of information. percent of increase / decrease Percent of Change Interest Scale drawings and Models discount Is there more than one way to solve a problem? interest mark-up Solving similar polygons using proportions Solving real world application word problems sales tax Calculator selling price scale factor I-know website similar
7 Key Concepts: Estimated days to complete - 30 Creating Algebraic expressions Linear Equations Solve and Graph Function tables/slope Topic: Expressions, Equations and Inequalities CSOs: Equations can be used to solve real world problems. Key words for add,subtract,multiply,divide Addition/subtraction property of equality Multiplication/division property of equality Symmetric property Inverse Operations linear / slope / > > < < Inequalities Solve and Graph Applications and Real-World Problems Polynomials Sequences Generate a rule to represent the pattern monomial & binomial How does Algebra relate to my life? trinomial & polynomial term & like terms simplest form Alge-blocks I-know website arithmetic sequence geometric sequence Manipulatives Graphing calculators Fibonacci sequence
8 Key Concepts: Estimated days to complete - 30 Parallel Lines Angles & Bisectors Classifying Polygons Congruent & Similar Figures Transformations Perimeter & Area Topic: Geometry CSOs: Geometry is a tool for representing relationships between structures parallel lines alternate interior angles alternate exterior angles corresponding angles vertical angles/adjacent angles supplementary angles complementary angles and applying formulas to measure angles, lines, area, and volume. perpendicular & angle bisector Have all geometric figures already been identified and their proper ties defined? regular polygon names of polygons polyhedra congruent similar Pythagorean Theorem Polyhedron Surface Area 3-D Polyhedra Solving real world application word problems base & altitude converse corresponding parts Volume Calculator I-know website hypotenuse / legs
9 Key Concepts: Estimated days to complete - 15 Data Displays Topic: Data Analysis & Probability CSOs: bar graph histogram circle graph line plot central tendency Central Tendency box and whisker scatter plot There are many ways to visually display relationships between variables. quartile inner quartile Misleading Graphs & Statistics How can statistics (data) lie/mislead? How well can we predict the outcomes of some future events? variation outlier sample outcome factorial Theoretical Probability Compound Events compound events Make Predictions Graphing Calculators Solving real world application word problems independent/dependent experimental/theoretical Permutations & Combinations I-know website Excel spreadsheet permutations/combinations
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