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Core Content and Skills
Math Grade 7
2007-2008
BOE Approved

Algebra - Rational Numbers - Integers.  Content   Skills  Scientific Notation Absolute value Rational and Irrational numbers. Exponents   Identify rational and irrational numbers Compare rational and irrational numbers on a number line. Multiply and Divide exponents. Translate scientific numbers to standard notation. Convert a fraction to a decimal. Order percents, fractions and decimals from least to greatest. Simplify using order of operations.   Properties of Addition and Multiplication Integers Absolute value   Identify positive and negative integers in word problems. Compare and order integers using a number line.   Exponents Scientific Notation   Translate scientific numbers to standard notation. Multiply and Divide exponents.   Rational and Irrational numbers.   Compare rational and irrational numbers on a number line. Convert a fraction to a decimal. Order percents, fractions and decimals from least to greatest. Identify rational and irrational numbers

Number Theory and Operations  Content   Skills  Order of operations. Square root of perfect square. Square root of non perfect square Estimation. Prime factorization of more than one number. Least Common Multiple and Greatest Common Factor Exponents   Simplify using order of operations. Use estimation to make justifications. Find the least common multiple using prime factorization. Find the greatest common factor using prime factorization. Find the square root of a non perfect square using a calculator. Convert a negative exponent to a positive expression. Convert a fraction to a decimal. Solve operations with exponents with the same base.

Algebra - Real numbers  Content   Skills  equations Scientific Notation Solving two-step equations.   Convert scientific notation to standard notation. Use operations to solve equations. Identify the value of a variable in an equation. Use substition to solve an equation. Translate verbal expressions into equations and solve. Identify an inequality. Graph an inequality on a number line.     Equations and Inequalities  Content   Skills  Distribution One and two step equations Solving inequalities. Graphing inequalities on a number line.   Use distribution to solve 2 step equations and inequalities. Solve 2-step equations using addition/subtraction and multiplication/division.     Polynomials  Content   Skills  Monomials Binomials Trinomials Simplifying Polynomials   Simplify polynomials. Classify monomials, binomials, trinomials. Add polynomials. Subtract polynomials. Multiply and divide polynomials.

Geometry  Content   Skills  Circumference Area Volume 2 and 3 dimensional figures   Find the areas of parallelograms, triangles and trapezoids. Find the circumference and area of circles. Find the volumes of prisms and cylinders.

Geometry  Content   Skills  3 Dimensional Figures Surface Area Volume Transversals Interior Angles of Polygons   Find missing angle measures and classify quadrilaterals. Find the sum of the angle measures of polygons. Find missing angles in triangles. Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a transversal. Find the surface areas of prisms and cylinders. Find the surface areas of pyramids and cones. Analyze measurements- significant digits. Classify triangles by their angles and sides.

Statistics  Content   Skills  circle graphs histogram double bar/line graphs mean, median, mode, range Convert raw data into double bar and line graphs. Identify the relationship between relative error and maganitude when dealing with large numbers. Identify and explain misleading graphs and data   Construct a circle graph. Construct a Histogram. Construct a Double Bar Graph. Construct a double line graph. Find the mean, median, mode of a set of data. Use a spreadsheet to find mean, median and mode. Find the range of a set of data. Interpret histograms, circle graphs, bouble bar and line graphs. Make predictions based on trends in money and population.

Algebra - Variables and Expressions  Content   Skills  Combine like terms. Polynomials   Add and subtract monmials by combining like terms. Identify a polynomial. Identify a polynomial as an algebraic expression containing one or more terms. Simplifying polynomials Identifying binomials and trinomials.     Percents  Content   Skills  Percents, Decimals, Fractions. Percent models. Percents greater than 100% and less than 1%. Percents of whole numbers. Estimate percents. Proportions and percents. Equations and percents. Commission, tax, tips. Percent change, markup, discount amounts. Simple Interest and Compund Interest.   Convert percents to decimals and fractions. Find percents from models. Order percents, fractions and decimals from least to greatest. Convert fractions to percents. Convert decimals to percents. Writing mixed numbers as percents. Find the percent of a number. Estimate percents. Check for reasonableness when estimating. Use proportions and cross products to find the percent. Find a part, using proportions. Find a whole, using proportions. Apply simple interest formula. Apply compund interest formula. Solving word problems with percents.

Algebra: Patterns, Relations and Functions  Content   Skills  linear equations functions function tables/patterns   Identify a linear equations. Identify patterns in algebraic equations, expressions. Represent a function in a table of values. Find a formula for determining the sum of the angles in a polygon. Fill in a table with a given function. Determine the input/output values, the independent and dependent variable. Find the 4 solution sets of a linear equation. Construct the solution to two functions graphically and algebraically. Determine input and output values.     Geometric Relationships  Content   Skills  Pythagorean Theorem   Identify the difference between the legs and hypotenuse of a right triangle. Apply the Pythagorean Theorem formula to finding the length of the sides of a right triangle. Find the square root to solve using Pythagorean Theorem. Use substitution in finding an unknown side of a right triangle. Interpret word problems, solve algebraically using Pythagorean Theorem.

Functions  Content   Skills  functions Input/output values linear equations solutions function tables   Determine input and output values. Identify independent and dependent variables. Create a table to solve a function. Graph a linear function on the coordinate plane. Find the 4 solution sets of a linear equation. Construct the solution to two functions graphically and algebraically.     Units of Measurement  Content   Skills  Unit rate Unit price Proportions Scale models   Calculate distance using a map. Use proportions to solve a problem using a scale. Use division to find unit price.

Units of Measurement  Content   Skills  Unit price scale maps currency conversions   Calculate distance using a map. Use proportions to solve a problem using a scale. Use division to find unit price. Compare unit prices to find the better buy of an item. Convert dollars to another currency using an exchange table.