Students divide decimals by whole numbers. Analyze statements in ifthen. Solve problems by writing Expressions. equations.
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1 ACT Mathematics Test Format and Structure Taking the ACT Mathematics Test Mathematics Pretest Diagnostic PreTest ACT Mathematics Dividing Decimals by Whole Numbers Students divide decimals by whole numbers. Conditional Statements Conditional Statement Analyze statements in ifthen form. Problem Solving: Write an Equation Using Algebraic Solve problems by writing Expressions Measures of Central Tendency Mean, Median and Mode Find the mean, median, mode, and range of a data set. Finding Square Roots Perimeter and Circumference Distributive Property Solving Equations with the Variable on Each Side Arithmetic Sequences Proving Angle Relationships Volume: Pyramids, Cones and Spheres Ordering and Approximating Square Roots Rectangle: Perimeter and Arithmetic Sequences Investigating Angle Theorems - Activity A Pyramids and Cones - Estimate square roots to a given number of decimal places and solve problems using square roots. Find the perimeter of a polygon and the circumference of a circle. Use the Distributive Property to evaluate Use substitution to solve Find terms in an arithmetic sequence. Write proofs involving supplementary and complementary angles. Find volumes of cones and pyramids. Use the Distributive Property to simplify Solve equations with the variable on each side. Write proofs involving congruent and right angles. Find volumes of spheres. Solve equations involving grouping symbols on each side of the equation. Page 1 of 5
2 Theoretical Probability Theoretical and Estimate probability using Experimental Probability theoretical methods. Multiplication Matrix Multiply a matrix by a scalar. Multiply two matrices. Real Numbers and Absolute Value Simplify expressions Real Number Line - Compare real numbers. involving opposites and absolute value. Problem Solving: Make a Table Solve problems by making a table Combining Like Terms Combine like terms in an expression. Graphing on a Coordinate Plane Points in the Coordinate Graph points and lines on Plane - Activity A the coordinate plane. The Fundamental Counting Principle Using Proportions The Pythagorean Theorem Simplifying Rational Expressions Slope-Intercept Form Solving Equations in the Form x 2 + bx + c = 0 Sine, Cosine, and Tangent Ratios Trigonometric Identities Permutations and Combinations Beam to Moon (Ratios and Proportions) Pythagorean Theorem - General Form of a Rational Function Slope-Intercept Form of a Line - Activity A Sine, Cosine and Tangent Find the number of possible outcomes in an experiment. Solve proportions. Use the Pythagorean Theorem. Simplify rational functions. Determine slopes and y- intercepts of lines. Solve quadratic equations by completing the square or by factoring. Find trigonometric ratios in right triangles. Use identities to find trigonometric values. Use proportions to solve real-world problems. Identify right triangles. Graph linear equations using the slope and y- Use trigonometric ratios to solve problems. Use trigonometric identities to simplify Page 2 of 5
3 Rectangle: Perimeter and Solve problems by using Using Formulas the perimeters and areas formulas. of rectangles. Translations Multiplying Binomials Frequency Tables and Stem-and-Leaf Plots Measuring Length Graphing Systems of Equations Arithmetic Series : Parallelograms Special Functions Rotations Properties of Logarithms Translations Stem-and-Leaf Plots Distance Formula - Solving Linear Systems by Graphing of Parallelograms - Activity A Quadratic Functions Holiday Snowflake Designer Draw translated images using coordinates. Find products of binomials using the FOIL method. Organize and interpret data in frequency tables and stem-and-leaf plots. Construct a geometry ruler. Graph systems of Find sums of arithmetic series. Find areas of rectangles. Write, graph, and apply special functions: piecewise, step, and absolute value. Draw rotated images using the angle of rotation. Simplify and evaluate expressions using the properties of logarithms. Exponents Order of Operations Use exponents. Draw translated images by using repeated reflections. Mentally simplify special products of binomials. Define length and congruent. Solve a system of equations by inspecting a graph. Using sigma notation. Find areas of parallelograms. Identify figures with rotational symmetry. Solve logarithmic equations using the properties of logarithms. Use the order of operations with exponents. Identify and use the Segment Addition Postulate. Page 3 of 5
4 Circles and Circumference Circle: Circumference and Identify and use parts of the circumference of a circles. circle. Similar Figures Similar Figures - Determine whether figures are similar, use scale factors, and find missing dimensions in similar figures. Scientific Notation Isosceles and Equilateral Triangles Multiplying Fractions and Mixed Numbers Factors and Greatest Common Factors Using the Percent Proportion Distance and Midpoint Formulas Simplifying Algebraic Expressions Tangents Complex Numbers Isosceles and Equilateral Triangles Multiplying Fractions Finding Factors with Models Percents and Proportions Distance Formula - Activity A Absolute Value of a Complex Number Write and evaluate numbers in scientific notation. Use and apply properties of isosceles triangles. Multiply fractions and mixed numbers. Find prime factorizations of integers and monomials. Use the percent proportion to solve problems. Find the distance between two points using the Distance Formula. Use the distributive property to simplify algebraic Use properties of tangents. Add, subtract, multiply, and divide complex numbers; and find complex zeros of quadratic functions Calculate with scientific notation. Find the greatest common factors of integers and monomials. Find the midpoint of a segment using the Midpoint Formula. circumscribed polygons. Page 4 of 5
5 Representing Linear Patterns Distance-Time Graphs Represent linear patterns Represent linear with equations with graphs. Venn Diagrams Create and analyze Venn diagrams. Multistep Inequalities State and apply the Solve multistep Multiplication and inequalities in one Division Properties of variable. Inequality. Angles of a Polygon Determine the sum of the measures of the angles of an n-gon Circles Circle: Circumference and Find central angles and Find circumferences. make circle graphs. of Complex Figures Solving Systems of Inequalities by Graphing Functions Perimeter, Circumference, and - Activity A Systems of Linear Inequalities (Standard form) Find the area of complex figures. Solve systems of inequalities by graphing. Determine whether a relation is a function. Graphing Rational Functions Rational Functions Graph rational functions. Exponential Growth and Decay Problem Solving: Interpret the Quotient Solving Trigonometric Equations Exponential Growth and Decay - Activity A Determine the multiplier for exponential growth and decay. Students solve problems by interpreting the quotient. Solve trigonometric equations and inequalities Determine the coordinates of the vertices of a region formed by the graph of a system of inequalities. Find function values. Identify types of functions. Write and evaluate exponential expressions to model growth and decay situations. Page 5 of 5
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