Bellwood-Antis School District Curriculum Revised on 10/07/2011

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1 Bellwood-Antis School District Curriculum Revised on 10/07/2011 Course: Advanced Applications of Algebra & Geometry Grade Level(s): Month Duration PA Standards/Anchors Content Assessment Instructional Activities Resources August 1 day M.11.A, B, C, D & E Diagnostic Test Diagnostic Test Diagnostic Exam Sept 7 days M11.A Find the square root of an integer to the nearest tenth using either a calculator or estimation M11.A Express numbers and/or simplify expressions using scientific notation (including numbers less than 1). Chapter 1: Essential Mathematics 1-2 Real Numbers 1-7 Properties of Exponents 1-8 Negative Exponents &Scientific Notation Notes & M11.A Locate/identify irrational numbers at the approximate location on a number line M11.A Compare and/or order any real numbers (rational and irrational may be mixed). M11.A Simplify expressions involving positive and negative exponents, roots and/or absolute value (may contain all types of real numbers - exponents should not exceed 10). M11.A Simplify expressions involving multiplying with exponents (e.g., x 6 x 7 = x 13 ), powers of powers (e.g., (x 6 ) 7 =x 42 ) and powers of products (2x 2 ) 3 =8x 6 (positive exponents only).

2 Sept 15 days Chapter 2 M11.D Analyze a set of data for the existence of a pattern & represent the pattern algebraically and/or graphically M11.D Determine if a relation is a function given a set of points or a graph. M11.D Identify the domain, range or inverse of a relation (may be presented as ordered pairs or a table). M11.D Identify or graph functions, linear equations or linear inequalities on a coordinate plane. M11.E Create and/or use appropriate graphical representations of data, including box-and-whisker plots, stem--leaf plots or scatter plots. M11.E Analyze data and/or answer based on displayed data (box-andwhisker plots, stem-and-leaf plots or scatter plots). M11.E Find/select/use the appropriate measure of central tendency (mean, mode or median) of a set of data given or represented on a table, line plot, or stem-and-leaf plot. M11.E Describe how outliers affect measures of central tendency. M11.D Solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). Chapter 2: Essential Algebra and Statistics 2-1 (include 3.5) Patterns 2-2 Relations, Functions, Domain and Range 2-3Graphing Linear Functions 2-4One Step Equations Absolute Value 2-5Multi-Step Equations Compound Inequalities pg Linear Inequalities 2-7 Measures of Central Tendency 2-8 Display Data 2-9 Analyzing Graphs Data Technology Activity Notes &

3 Oct 8 days Chapter 3 M11.B Measure and/or compare angles in degrees (up to 360) (protractor must be provided or drawn). Chapter 3: Geometry Reasoning 3-1 Points Lines, Planes 3-2Types of Angles 3-3Segments and Angles 3-4Lines Notes & Oct 12 days Chapter 4 M11.C Identify and/or use properties of triangles (e.g., medians, altitudes, angle bisectors, side/angle relationships). M11.C Recognize and/or use properties of quadrilaterals (e.g., parallel sides, diagonals, bisectors, congruent sides and supplementary angles). M11.C Identify and/or use properties of isosceles and equilateral triangles M11.C Recognize or use properties of congruent and similar polygons or solids. Chapter 4: Triangles, Quadrilaterals and Polygons 4-1Triangle Theorems 4-2Congruent Triangles Non- Proof/Visual Markings 4-3Find Angle and Side Measures of Isosceles and Equilateral Triangles 4-4 Altitudes, Medians and Perpendicular Bisectors (Informal Geometry Text as Supplement) 4-6 Inequalities in Triangles 4-7Congruent and Similar Polygons 4-8Quadrilaterals 4-9Trapezoids Technology Activity/ Geometer s Sketchpad Notes &

4 No 10 days Chapter 5 M11.B Calculate the surface area of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. M11.B Calculate the volume of prisms, cylinders, cones, pyramids and/or spheres. Formulas are provided on the reference sheet. M11.B Estimate area, perimeter or circumference of an irregular figure M11.B Find the measurement of a missing length given the perimeter, circumference, area or volume. M11.B Describe how a change in the linear dimension of a figure affects its perimeter, circumference, area or volume. Chapter 5: Measurement 5-2Perimeter, Circumference, and Area 5-4 Irregular Shapes and Area 5-6Surface Area 5-7Volume Change in Dimensions and Missing Values Application/Simulations of change in dimensions Notes & Nov-Dec 15 days Chapter 6 M11.D Write, solve and/or apply a linear equation (including problem situations). M11.D Write and/or solve systems of equations using graphing, substitution and/or elimination (limit systems to 2 equations). M11.C Relate slope to perpendicularity and/or parallelism (limit to linear algebraic expressions; slope formula provided on the reference sheet). M11.D Identify, describe and/or use constant or varying rates of change. Chapter 6 M11.D Apply the formula Chapter 6: Linear Systems 6-1 Slope 6-2 Parallel and Perpendicular Lines 6-3Writing Equations of Lines 6-4Systems of Equations Graphing 6-5Substituion 6-6Elimination Notes &

5 for the slope of a line to solve problems (formula given on reference sheet). M11.D Given the graph of the line, 2 points on the line, or the slope and a point on a line, write or identify the linear equation in point-slope, standard and/or slope-intercept form. M11.D Compute the slope and/or y-intercept represented by a linear equation or graph Notes & Dec 8days Chapter 7 M11.A Identify and/or use proportional relationships in problem solving settings. M11.C Identify and/or use properties of congruent and similar polygons or solids. Chapter 7: Similar Triangles 7-1Ratios/Proportions 7-2Proportions Similar Polygons 7-4AA and SSS 7-5 and 7-6Triangles and Proportional Segments Notes & Project (Authentic Assessment)

6 Jan 12 days Chapter 9 M11.E Find probabilities for independent, dependent or compound events and represent as a fraction, decimal or percent). M11.E Find, convert and/or compare the probability and/or odds of a simple event. M11.E Determine the number of permutations and/or combinations or apply the fundamental counting principle. (Formula provided on the reference sheet). M11.E Estimate or calculate to make predictions based on a circle, line, bar graph or given situation. M11.E Use probability to predict outcomes. Chapter 9: Probability and Statistics 9-1Experimental and Theoretical Probabilities 9-3Compound Events 9-4 Independent and Independent Events 9-5Permutations and Combinations 9-6Scatter Plots and Box-Whisker Plots Authentic Assessment Project Notes & Jan-Feb 15 days Chapter 10 M11.C Find the measure of a side of a right triangle using the Pythagorean Theorem (Pythagorean Theorem included on the reference sheet). M11.C Identify and/or use the properties of a radius, diameter and/or tangent of a circle (given numbers should be whole.) M11.C Identify and/or use the properties of arcs, semicircles, inscribed angles and/or central angles. M11.A Simplify square roots. (e.g., 24 = 26) Chapter 10: Right Triangles and Circles 10-1Irrational Numbers 10-2Pythagorean Theorem and Cirlcels, Angles and Arcs 10-6Circles and Segments Area of Sectors Notes &

7 Feb-Mar 20 days Chapter 11 M11.A Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. M11.A Simplify/evaluate expressions using the order of operations to solve problems (rational numbers may be used). M11.D Solve quadratic equations using factoring (integers only not including completing the square or the Quadratic Formula). M11.D Add, subtract and/or multiply polynomial expressions (express answers in simplest form nothing larger than a binomial multiplied by a trinomial). M11.D Factor algebraic expressions, including difference of squares & trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0). M11.D Simplify algebraic fractions. Chapter 11: Polynomials Order of Operations 11-1 Add and Subtract 11-2 Multiply 11-3GCF and LCM 11-4Multiply Binomials 11-6Special Product Factoring 11-7Trinomial Factoring Mix of Factoring Techniques Algebraic Fractions Notes & March 15 days M.11.A, B, C, D, E 3 week review for PSSA Mini-Lessons with, Teacher Made Notes Notes &

8 March-Apr 7 days Chapter 12 M11.D Match the graph of a given function to its table or equation. M11.C Calculate the distance and/or midpoint between 2 points on a number line or on a coordinate plane (formula provided on the reference sheet). Chapter 12: Quadratics 12-1 Graph Parabolas include various other functions Midpoint & Distance Formula Notes & April 4 days Chapter 13 M11.A Solve problems using direct and inverse proportions M11.D Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?). Chapter 13: Advanced Functions and Relations 13-5 Direct Variation 13-6 Inverse Variation Change of One variable affects another Notes & SRS April 5 days M.11.A Solve problems using operations with rational numbers including rates and percents (single and multi-step and multiple procedure operations) (e.g., distance, work and mixture problems, etc) Rate/Work/Percent and Proportions Problems Notes & Chunking Pair-Share & Grouping Custom Assessments and Pre-Made Assignments in M.11.A Use estimation to solve problems.

9 May 15 days M.11.A.B.C.D.E. Project-Based Assessment based on students for each year. Teachers will collaborate and create an assessment for students as a culminating activity for the year TBD based on project

Prentice Hall Mathematics: Pre-Algebra 2004 Correlated to: The Pennsylvania Math Assessment Anchors and Eligible Content (Grade 11)

Prentice Hall Mathematics: Pre-Algebra 2004 Correlated to: The Pennsylvania Math Assessment Anchors and Eligible Content (Grade 11) AND M11.A Numbers and Operations M11.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems. SE/TE: 2, 11, 18-22, 25, 27-29, 32-34, 44,