Georgia GSE Technical College Readiness Mathematics

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Basic Operations MTCR.NS.1-5 a. Divisibility Rules b. Adding Whole Numbers c. Subtracting Whole Numbers d. Multiplying Whole Numbers e. Dividing Whole Numbers f. Adding Integers g. Subtracting Integers h. Multiplying Integers i. Dividing Integers j. Multiplying by 5 k. Multiplying by 25 l. Multiplying by multiples of 5 m. Comparing Whole Numbers n. Comparing Fractions o. Comparing Decimals p. Comparing Integers q. Absolute Value of Integers r. Adding Integers (+/-/even/odd) s. Subtracting Integers (+/-/even/odd) t. Multiplying Integers (+/-/even/odd) u. Dividing Integers (+/-) v. Finding the GCF w. Finding the LCM x. Calculating Mean y. Mean as a Balance Point (Random) Fractions MTCR.NS.1-5 a. Converting Fractions to Terminating Decimals b. Converting Fractions to Repeating Decimals c. Converting a Decimal to a Fraction d. Estimating Fractions as Decimals e. Adding Fractions f. Subtracting Fractions g. Multiplying Fractions h. Dividing Fractions i. Adding Fractions (Including Mixed) j. Subtracting Fractions (Including Mixed) k. Multiplying Fractions (Including Mixed) l. Dividing Fractions (Including Mixed) m. Multiplying Fractions Word Problems n. Dividing Fractions Word Problems (Random) Decimals MTCR.NS.1-5 a. Adding Decimals b. Subtracting Decimals c. Multiplying Decimals d. Dividing Decimals e. Adding Decimals Word Problems f. Subtracting Decimals Word Problems (Random) Multiple Operations MTCR.NS.4 a. Adding and Subtracting Whole Numbers b. Multiplying and Dividing Whole Numbers c. Adding and Subtracting Money d. Adding and Subtracting Decimals e. Adding and Subtracting Fractions f. Multiplying and Dividing Fractions g. Multiple Operations (+/-/*/÷) with Whole Numbers (Random) Scientific Notation MTCR.NS.1 a. Converting To Scientific Notation (>10) b. Converting From Scientific Notation (>10) c. Converting To Scientific Notation (<1) d. Converting From Scientific Notation (<1) e. Using Scientific Notation f. Solving Scientific Notation Word Problems (Random) Linear Equations and Inequalities MTCR.LEI.1 a. Solving Simple Linear Equations b. Solving Multi-Step Linear Equations (constant on one side) c. Solving Linear Equations with x's on both sides d. Solving Multi-Step Linear Equations e. Solving Linear Inequalities f. Solving Literal Equations g. Setting up Word Problems h. Solving Mixture Problems i. Solving Proportions j. Solving Proportion Word Problems (Random) Direct and Inverse Variation MTCR.LEI.2 a. Identifying Direct Variation b. Identifying Inverse Variation c. Identifying Variation of a Graph d. Setting up Direct Variations e. Setting up Inverse Variations f. Solving Variation Word Problems (Random) Graphing Lines MTCR.LEI.3 a. Writing the Equation of a Horizontal Or Vertical Line b. Writing the Equation of a Linear Graph c. Graphing in Slope-Intercept Form d. Graphing with Point-Slope Form e. Graphing from Standard Form f. Finding the x and y Intercepts From an Equation g. Graphing with x and y Intercepts h. Identify x and y Intercepts from a Graph (Random) Finding Slope MTCR.LEI.4 a. Finding Slope of a Linear Equation b. Finding Slope for a Linear Graph c. Finding Slope from 2 Points d. Identifying Positive/Negative Slope e. Finding Slope of a Parallel Line f. Finding the Equation of a Parallel Line g. Finding Slope of a Perpendicular Line h. Finding the Equation of a Perpendicular Line (Random) Graphing Systems of Equalities/Inequalities MTCR.LEI.5-6 a. Graphing Linear Inequalities b. Graphing Systems of Linear Inequalities c. Determining the number of Solutions of a System of Linear Equations d. Determining the Types of Lines in a System of Linear Equations (intersecting, parallel, or infinite solutions) e. Solving Two Linear Equations in Two Variables with Linear Combination f. Solving Two Linear Equations in Two Variables with Substitution g. Solving Two Linear Equations in Two Variables by Graphing h. Verify Solution of a System of Linear Equations i. Solving Word Problems (Systems of Linear Equations) (Random) Squares and Square Roots MTCR.NLR.1 a. Simplifying Square Roots of Square Numbers b. Estimating Square Roots (decimal values) c. Creating Factor Trees d. Simplifying Square Roots e. Simplifying Harder Square Roots f. Adding/Subtracting Square Roots g. Multiplying Square Roots h. Using the Pythagorean Theorem (finding the Hypotenuse) i. Evaluating a Square Root (of Discriminant) j. Evaluating Square and Cube Root Expressions k. Simplifying Square and Cube Root Expressions	(Random) Right Triangles and Trigonometry MTCR.NLR.2 a. Simplifying Radicals b. Finding the Geometric Mean c. Using the Pythagorean Theorem d. Using the Pythagorean Theorem Converse (Classifying Triangles) e. Using Right Triangles with Altitudes f. Using Special Right Triangles g. Finding Trigonometric Functions from Triangles h. Solving Ratios with Trigonometric Functions i. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths j. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles k. Solving Right Triangles l. Finding Area of Right Triangles (Uses Trig!) m. Using sin²(A) + cos²(A) = 1 n. Using sin(A) = cos(90°-A) (Random) Polynomials MTCR.NLR.3 a. Identifying Like Terms b. Classifying Polynomials by the Number of Terms c. Adding Polynomials d. Subtracting Polynomials e. Subtracting Polynomials and Setting Up the Subtraction f. Multiplying Monomials (includes negative exponents) g. Multiplying Polynomials h. Dividing Monomials (includes negative exponents) i. Dividing Polynomials by a Monomial (no factoring needed) j. Dividing Polynomials by a Binomial (requires factoring) k. Using Algebra Tiles l. Perimeter and Area Problems m. Using Synthetic Division n. Using Long Division o. Using Box Division (Random) Solving Quadratics MTCR.NLR.4 a. Identifying the Number of Solutions of a Quadratic Using the Discriminant b. Solving Quadratics By The Square-Root Method c. Solving Quadratics by Graphing d. Solving Quadratics by Factoring e. Solving Quadratics by Completing the Square f. Solving Quadratics with the Quadratic Formula (Real Solutions) g. Solving Quadratics that have Imaginary Solutions h. Solving Quadratics (both imaginary and real solutions) i. Finding Fixed Points for Quadratic Functions (Random) Rational Expressions MTCR.NLR.5-6 a. Multiplying Rational Expressions (Easier) (Requires Factoring!) b. Multiplying Rational Expressions (Harder) (Requires Factoring!) c. Dividing Rational Expressions (Easier) (Requires Factoring!) d. Dividing Rational Expressions (Harder) (Requires Factoring!) e. Adding Rational Expressions(Easier) (Requires Factoring!) f. Adding Rational Expressions (Harder) (Requires Factoring!) g. Subtracting Rational Expressions(Easier) (Requires Factoring!) h. Subtracting Rational Expressions (Harder) (Requires Factoring!) i. Mixed Rational Expressions (Multiple Operations with simplify)(Easier) (Requires Factoring!) j. Mixed Rational Expressions (Multiple Operations with simplify) (Harder) (Requires Factoring!) k. Solving Equations with Rational Expressions (Random) Functions MTCR.GF.1 a. Identifying Functions from Relations. b. Completing Tables c. Finding the value of a relation d. Finding Domain of Relations e. Finding Range of Relations f. Describing the Transformation of a Basic Function g. Writing the Equation of a Transformed Function (Random) Transformations of Functions MTCR.GF.2-3 a. Writing the Equation of a Basic Function from a Graph (Parabola, Line, Absolute Value, etc) b. Writing the Equation of a Basic Function from a Table (Parabola, Line, Absolute Value, etc) c. Describing the Transformation of a Basic Function d. Writing the Equation of a Transformed Function (Random) Functions, Domain, Range, etc. MTCR.GF.2-3 a. Finding Domains of Functions b. Finding Ranges of Functions c. Finding Zeros of Functions d. Finding Inverses of Functions e. Finding Composition of Functions f. Using Composition of Functions to Identify Inverse Functions g. Finding Values of Functions h. Finding areas of Increasing or Decreasing for Functions i. Describing End Behavior of Polynomials j. Finding X and Y-Intercepts of Functions (Random) Measurement MTCR.MG.1-2 a. Converting Measures (length/area) b. Converting Measures (weight/mass) c. Converting Measures (liquid volume) d. Converting Measures (money & time) e. Finding Appropriate Measures (Random) 2-D and 3-D Geometry MTCR.MG.3 a. Count Angles and Sides for 2-D Figures b. Using the description of Basic 2-D (Planar) Figures c. Compare Basic 2-D (Planar) Figures d. Naming Basic 2-D (Planar) Figures e. Identify Triangles f. Classifying Triangles By Sides g. Classifying Triangles By Angles h. Drawing Quadrilaterals i. Naming Quadrilaterals j. Count Vertices, Edges, and Faces for 3-D Figures k. Identify Basic 3-D (Solid) Figures l. Draw Basic 3-D (Solid) Figures m. Completing a Drawing through Reflection n. Identifying Congruent Objects o. Identifying Congruent vs Similar Objects p. Counting Lines of Symmetry (Random) Area, Perimeter, Surface Area and Volume MTCR.MG.4 a. Finding Area/Perimeter Squares/Rectangles b. Finding Area/Perimeter Circles/Triangles c. Solving Perimeter Problems with variables d. Solving Area Problems with variables (Requires factoring) e. Identifying Common Solid Figures f. Finding Volumes of Prisms g. Finding Volumes of Cylinders h. Finding Volumes of Pyramids i. Finding Volumes of Cones j. Finding Volumes of a Sphere k. Finding Volumes of Similar Solids l. Finding Volume of Stacked Cubes m. Finding Surface Area of Prisms n. Finding Surface Area of Cylinders o. Finding Surface Area of Pyramids p. Finding Surface Area of Cones q. Finding Surface Area of a Sphere r. Finding Surface Area of Similar Solids s. Finding Surface Area of Stacked Cubes
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