Unit 1: Ratios and Proportional Relationships

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Steelton-Highspire School District Curriculum Map Revised 2015-2016 1 Unit 1: Ratios and Proportional Relationships Chapter & Lessons Standard Anchor Concept * Eligible Content/ Objective LEQ Vocabulary Resources/ Assessment Chapter 1 Lesson 1 M07.A.2.2 M07.A.2.2.4: Calculate and / or apply unit rates or unit prices (terminating decimals through the hundredth place only) How can you show that two objects are proportional? Rate Unit rate Chapter 1 Lesson 2 M07.A.2.2 M07.A.2.2.4: Calculate and / or apply unit rates or unit prices (terminating decimals through the hundredth place only) How can you show that two objects are proportional? Complex fraction

Steelton-Highspire School District Curriculum Map Revised 2015-2016 2 Chapter 1 Lesson 3 2.3.7.D M07.A.2.2 M07.B.1.1 M07.A.2.2.1 Write ratios to compare quantities (e.g., ratio of boys to girls) M07.A.2.2.4: Calculate and / or apply unit rates or unit prices (terminating decimals through the hundredth place only) M07.A.2.2.5: Select and / or use ratios or proportions to solve problems. How can you show that two objects are proportional? Unit ratio Dimensional analysis.1: Solve problems involving operations (+, -, x, ) of whole numbers, decimals, fractions, or mixed numbers (straight computation or word problems) Chapter 1 Lesson 4 M07.A.2.2 M07.B.1.1.1: Add, subtract, or convert measurements, using only the units below, with and without regrouping (e.g., 4ft-2ft 5in = 1ft 7in). Answer should be converted to the largest whole unit (e.g., 37ox = 2Lb 5ox or 39in = 1yd 3 in. Conversion chart provided on the reference sheet. - In, ft, yd - Fl ox, cup, pint, quart, gallon - Oz, lb - Sec, min, hours, days Metric units including milli, centi and kilo (m, g, or L) M07.A.2.2.1 Write ratios to compare quantities (e.g., ratio of boys to girls) M07.A.2.2.3: Use proportions to determine if two quantities are equivalent (e.g., similar figures, prices of different sized items, etc.) How can you show that two objects are proportional? Proportional Nonproportional Equivalent ratios M07.A.2.2.5: Select and / or use ratios or proportions to solve problems.

Steelton-Highspire School District Curriculum Map Revised 2015-2016 3 Chapter 1 Lesson 5 2.9.7.C M07.A.2.2 M07.C.3.1 M07.A.2.2.1 Write ratios to compare quantities (e.g., ratio of boys to girls) M07.A.2.2.4: Calculate and / or apply unit rates or unit prices (terminating decimals through the hundredth place only) M07.A.2.2.5: Select and / or use ratios or proportions to solve problems. How can you show that two objects are proportional? Coordinate plane Quadrants Ordered pairs x-coordinate y-coordinate y-axis origin x-axis M07.C.3.1.1: Plot and / or identify ordered pairs on a coordinate plane (all four quadrants). Chapter 1 Lesson 6 M07.A.2.2 M07.C.3.1.2: Identify Quadrants I, II, III, IV, the x - & y axes and the origin on a coordinate plane. M07.A.2.2.2: Solve for a variable in a given proportion. M07.A.2.2.3: Use proportions to determine if two quantities are equivalent (e.g., similar figures, prices of different sized items, etc.) How can you show that two objects are proportional? Proportion Cross products M07.A.2.2.5: Select and / or use ratios or proportions to solve problems.

Steelton-Highspire School District Curriculum Map Revised 2015-2016 4 Chapter 1 Lesson 7 M07.A.2.2 M07.D.3.1 M07.A.2.2.2: Solve for a variable in a given proportion. M07.A.2.2.4: Calculate and / or apply unit rates or unit prices (terminating decimals through the hundredth place only) How can you show that two objects are proportional? Rate of change Constant rate of change M07.A.2.2.5: Select and / or use ratios or proportional to solve problems. M07.D.3.1.1: Solve problems involving a constant rate of change (e.g., word problems, graphs or data tables). Chapter 1 Lesson 8 M07.D.3.1.2: Describe and / or use the relationship of data displayed on a rate of change graph (e.g., how does the x- axis data relate to the y-axis data). How can you show that two objects are proportional? Slope Chapter 1 Lesson 9 Chapter 1 Lesson: Inquiry Lab M07.A.2.2 M07.D.3.1 M07.A.2.2 M07.A.2.2.2: Solve for a variable in a given proportion. M07.A.2.2.5: Select and / or use ratios or proportions to solve problems. M07.D.3.1.2: Describe and / or use the relationship of data displayed on a rate of change graph (e.g., how does the x- axis data relate to the y-axis data). M07.A.2.2.6: Use proportions to find the missing length of a side in similar figures How can you show that two objects are proportional? Direct variation Constant of variation Constant of proportionality

Steelton-Highspire School District Curriculum Map Revised 2015-2016 5 Chapter 2 Lesson 1 How can percent help you understand situations involving money? Chapter 2 Lesson 2.1: Estimate answers to problems involving whole numbers, decimals, How can percent help you understand situations involving money? Chapter 2 Lesson 3.1: Estimate answers to problems involving whole numbers, decimals, How can percent help you understand situations involving money? Percent proportion Chapter 2 Lesson 4 Chapter 2 Lesson 5 Chapter 2 Lesson 6 Chapter 2 Lesson 7 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A M07.A.1.1 M07.A.1.1 M07.A.1.1 M07.A.1.1 M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). How can percent help you understand situations involving money? How can percent help you understand situations involving money? How can percent help you understand situations involving money? How can percent help you understand situations involving money? Percent equation Percent of change Percent of increase Percent of decrease Percent error Sales tax Tip Gratuity Markup Selling price Discount Markdown

Steelton-Highspire School District Curriculum Map Revised 2015-2016 6 Chapter 2 Lesson 8 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A M07.A.1.1 M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). How can percent help you understand situation involving money? Principal Simple interest

Steelton-Highspire School District Curriculum Map Revised 2015-2016 7 Unit 2: The Number System Chapter 3 Lesson 1 Chapter 3 Lesson 2 Standard Anchor Concept * Eligible Content/ Objective 2..2.7.B 2..2.7.B.2: Solve problems involving addition and subtraction of integers..2: Solve problems involving addition and subtraction of integers. LEQ Vocabulary Resources/ Assessment What happens when you add, integers? What happens when you add, integers? Integer Negative integer Positive integer Graph Absolute vale Opposites Additive inverse Chapter 3 Lesson 3 2..2.7.B.2: Solve problems involving addition and subtraction of integers. What happens when you add, integers? Chapter 3 Lesson 4 M07.A.2.1 M07.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x,, squares up to 102 and cubes up to 43; whole numbers only). What happens when you add, integers? Chapter 3 Lesson 5 M07.A.2.1 M07.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x,, squares up to 102 and cubes up to 43; whole numbers only). What happens when you add, integers?

Steelton-Highspire School District Curriculum Map Revised 2015-2016 8 Chapter 4 Lesson 1 Chapter 4 Lesson 2 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A M07.A.1.1 M07.A.1.2 M07.A.1.1 M07.A.1.2 M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M07.A.1.2.2: Locate / identify decimals, fractions, mixed numbers and / or integers on a number line ( a mix of these number forms may be on the same number line). M07.A.1.1.1: Convert between fractions, decimals and / or percents (e.g., 20% = 0.2 = 1/5) (terminating decimals only). M07.A.1.2.1: Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers is a set to be ordered). Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers in a set to be ordered). What happens when you add, fractions? What happens when you add, fractions? Repeating decimal Bar notation Terminating decimal Rational number Common denominator Least common denominator Chapter 4 Lesson 3 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A M07.A.1.2 M07.A.1.2.2: Locate / identify decimals, fractions, mixed numbers and / or integers on a number line ( a mix of these number forms may be on the same number line). M07.A.1.2.1: Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers is a set to be ordered). Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers in a set to be ordered). What happens when you add, fractions? Like fractions

Steelton-Highspire School District Curriculum Map Revised 2015-2016 9 Chapter 4 Lesson 4 Chapter 4 Lesson 5 Chapter 4 Lesson 6 2.1.7.A 2.1.7.B 2.1.7.D 2.11.7.A M07.A.1.2 M07.A.1.2.2: Locate / identify decimals, fractions, mixed numbers and / or integers on a number line (a mix of these number forms may be on the same number line)..1: Estimate answers to problems.1: Solve problems involving.1: Estimate answers to problems.1: Solve problems involving.1: Estimate answers to problems.1: Solve problems involving What happens when you add, fractions? What happens when you add, fractions? What happens when you add, fractions? Unlike fractions

Steelton-Highspire School District Curriculum Map Revised 2015-2016 10 Chapter 4 Lesson 7 2.3.7.D M07.B.1.1.1: Estimate answers to problems.1: Solve problems involving What happens when you add, fractions? M07.B.1.1.1: Add, subtract, or convert measurements, using only the units below, with and without regrouping (e.g., 4ft-2ft 5in = 1ft 7in). Answer should be converted to the largest whole unit (e.g., 37ox = 2Lb 5ox or 39in = 1yd 3 in. Conversion chart provided on the reference sheet. - In, ft, yd - Fl ox, cup, pint, quart, gallon - Oz, lb - Sec, min, hours, days Metric units including milli, centi and kilo (m, g, or L)

Steelton-Highspire School District Curriculum Map Revised 2015-2016 11 Chapter 4 Lesson 8 2.3.7.D M07.B.1.1.1: Estimate answers to problems.1: Solve problems involving What happens, when you add, fractions? M07.B.1.1.1: Add, subtract, or convert measurements, using only the units below, with and without regrouping (e.g., 4ft-2ft 5in = 1ft 7in). Answer should be converted to the largest whole unit (e.g., 37ox = 2Lb 5ox or 39in = 1yd 3 in. Conversion chart provided on the reference sheet. - In, ft, yd - Fl ox, cup, pint, quart, gallon - Oz, lb - Sec, min, hours, days Metric units including milli, centi and kilo (m, g, or L)

Steelton-Highspire School District Curriculum Map Revised 2015-2016 12 Unit 3: Expressions and Equations Chapter 5 Lesson 1 Chapter 5 Lesson 2 Chapter 5 Lesson 3 Standard Anchor Concept * Eligible Content/ Objective 2.8.7.C 2.8.7.D M07.A.2.1 M07.D.1.1 M07.A.2.1 M07.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x,, squares up to 102 and cubes up to 43; whole numbers only). M07.D.1.1.1: Describe, extend or find a missing element of a pattern (show 3 repetitions of the pattern) fractions or decimals may use only one operation from +, -, or x whole numbers may use only one operation from +, -, x,, or squares. M07.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x,, squares up to 102 and cubes up to 43; whole numbers only)..1: Estimate answers to problems involving whole number, decimals,.2: Solve problems involving addition and subtraction of integers..1: Solve problems involving LEQ Vocabulary Resources/ Assessment How can you use numbers and symbols to represent mathematical ideas? How can you use numbers and symbols to represent mathematical ideas? How can you use numbers and symbols to represent mathematical ideas? Variable Algebraic expression Algebra Coefficient Define a variable Sequence Term Arithmetic sequence Commutative Property Associative Property Property Additive Identify Property Multiplicative Identity Property Multiplicative Property of Zero Counterexample

Steelton-Highspire School District Curriculum Map Revised 2015-2016 13 Chapter 5 Lesson 4 M07.A.2.1 M07.A.2.1.1: Use the order of operations to simplify numerical expressions (may use parentheses, brackets, +, -, x,, squares up to 102 and cubes up to 43; whole numbers only)..1: Estimate answers to problems How can you use numbers and symbols to represent mathematical ideas? Distributive Property Equivalent Expressions.2: Solve problems involving addition and subtraction of integers. Chapter 5 Lesson 5 Chapter 5 Lesson 6 Chapter 5 Lesson 7.1: Solve problems involving.1: Estimate answers to problems.1: Solve problems involving.1: Estimate answers to problems.1: Solve problems involving.1: Estimate answers to problems.1: Solve problems involving How can you use numbers and symbols to represent mathematical ideas? How can you use numbers and symbols to represent mathematical ideas? How can you use numbers and symbols to represent mathematical ideas? Term Like term Constant Simplest Form Linear Expression

Steelton-Highspire School District Curriculum Map Revised 2015-2016 14 Chapter 5 Lesson 8 How can you use numbers and symbols to represent mathematical ideas? Monomial Factor Factored Form Chapter 6 Lesson 1 Chapter 6 Lesson 2 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F M07.D.2.1 M07.D.2.2 M07.D.2.2 M07.D.2.1 M07.D.2.1.1: Select and / or use appropriate strategies to solve one-step equations (no negative numbers). M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable)..1: Estimate answers to problems.1: Solve problems involving What does it mean to say two quantities are equal? What does it mean to say two quantities are equal? Equation Solution Equivalent Equation Subtraction Property of Equality Addition Property of Equality Coefficient Division Property of Equality Multiplication Property of Equality M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable). M07.D.2.1.1: Select and / or use appropriate strategies to solve one-step equations (no negative numbers).

Steelton-Highspire School District Curriculum Map Revised 2015-2016 15 Chapter 6 Lesson 3 2.1.7.A 2.1.7.B 2.1.7.D 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F 2.11.7.A M07.A.1.2 M07.D.2.1 M07.D.2.2 M07.A.1.2.1: Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers is a set to be ordered). Compare and / or order integers, mixed numbers, fractions and decimals (fractions and decimals may be mixed no more than 5 numbers in a set to be ordered)..1: Estimate answers to problems What does it mean to say two quantities are equal?.1: Solve problems involving M07.D.2.1.1: Select and / or use appropriate strategies to solve one-step equations (no negative numbers). Chapter 6 Lesson 4 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F M07.D.2.1 M07.D.2.2 M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable). M07.D.2.1.2: Use substitution of one and / or two variables to simplify expressions (whole numbers only use order of operations). M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable). What does it mean to say two quantities are equal? Two-Step Equation

Steelton-Highspire School District Curriculum Map Revised 2015-2016 16 Chapter 6 Lesson 5 Chapter 6 Lesson 6 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F M07.D.2.1 M07.D.2.2 M07.D.2.1 M07.D.2.2 M07.D.2.1.2: Use substitution of one and / or two variables to simplify expressions (whole numbers only use order of operations). M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable)..1: Estimate answers to problems.2: Solve problems involving addition and subtraction of integers..1: Solve problems involving What does it mean to say two quantities are equal? What does it mean to say two quantities are equal? Subtraction Property of Inequality Addition Property of Inequality Inequality M07.D.2.1.1: Select and / or use appropriate strategies to solve one-step equations (no negative numbers). M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable).

Steelton-Highspire School District Curriculum Map Revised 2015-2016 17 Chapter 6 Lesson 7 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F M07.D.2.1 M07.D.2.2.1: Estimate answers to problems.1: Solve problems involving What does it mean to say two quantities are equal? Multiplication Property of Inequality Division Property of Inequality M07.D.2.1.1: Select and / or use appropriate strategies to solve one-step equations (no negative numbers). Chapter 6 Lesson 8 2.8.7.A 2.8.7.B 2.8.7.E 2.8.7.F M07.D.2.1 M07.D.2.2.1: Identify expressions, equations or inequalities that model mathematical situations (using whole numbers or decimals, no more than two operations and one variable)..1: Estimate answers to problems.1: Solve problems involving What does it mean to say two quantities are equal? Two-Step Inequality M07.D.2.1.2: Use substitution of one and / or two variables to simplify expressions (whole numbers only use order of operations).

Steelton-Highspire School District Curriculum Map Revised 2015-2016 18 Unit 4: Geometry Chapter 7 Lesson 1 Chapter 7 Lesson 2 Standard Anchor Concept * Eligible Content/ Objective LEQ Vocabulary Resources/ Assessment How does geometry help us describe real-world objects? How does geometry help us describe real-world objects? Vertex Right Angle Acute Angle Obtuse Angle Straight Angle Vertical Angle Congruent Adjacent Angles Complementary Angles Supplementary Angles Symbols used:, Symbols used: m 1 Chapter 7 Lesson 3 Chapter 7 Lesson 4 2.3.7.C 2.9.7.A 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.F M07.C.1.2 M07.B.2.2 M07.C.1.2.1: Identify and / or use polygons that are similar and / or congruent, given either measurements or tic and angle marks. M07.B.2.2.1: Interpret and / or apply scales shown on maps, blueprints, models, etc. How does geometry help us describe real-world objects? How does geometry help us describe real-world objects? Acute Triangle Right Triangle Obtuse Triangle Scalene Triangle Isosceles Triangle Equilateral Triangle Triangle Congruent Segments Scale Drawing Scale Model Scale Scale Factor Symbols used:

Steelton-Highspire School District Curriculum Map Revised 2015-2016 19 Chapter 7 Lesson 5 How does geometry help us describe real-world objects? Chapter 7 Lesson 6 Chapter 7 Lesson: Inquiry Lab Chapter 8 Lesson 1 2.3.7.C 2.9.7.A 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.9.7.A M07.C.1.1 M07.B.2.2 M07.B.2.1 M07.C.1.1 M07.C.1.1.3: Identify parallel, perpendicular and / or skew line segments within three-dimensional figures. M07.B.2.2.2 Determine and / or apply an appropriate scale for reduction or enlargement. M07.B.2.1.2: Find the circumference and / or area of circles (formulas provided on the reference sheet). M07.C.1.1.1: Identify, describe and / or define diameter, radius, chord and / or circumference in circles. How does geometry help us describe real-world objects? How does geometry help us describe real-world objects? How do measurements help you describe real-world objects Prism Baes Pyramid Plane Coplanar Parallel Polyhedron Edge Face Vertex Diagonal Skew Lines Cylinder Cone Cross Section Circle Center Circumference Diameter Radius Pi π M07.C.1.1.2: Solve problems involving the relationship between the radius and diameter of the same circle.

Steelton-Highspire School District Curriculum Map Revised 2015-2016 20 Chapter 8 Leeson 2 Chapter 8 Lesson 3 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.9.7.A M07.B.2.1 M07.B.2.1.2: Find the circumference and / or area of circles (formulas provided on the reference sheet). M07.B.2.1 M07.C.1.2 M07.B.2.1.1: Develop and / or use strategies to find the perimeter and / or area of compound figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet. M07.B.2.1.2: Find the circumference and / or area of circles (formulas provided on the reference sheet). How do measurements help you describe real-world objects How do measurements help you describe real-world objects Semicircle Composite Figure M07.B.2.1.3: Find the area of triangles and / or all types of parallelograms (formulas provided on the reference sheet). M07.C.1.2.1: Identify and / or use polygons that are similar and / or congruent, given either measurements or tic and angle marks. Chapter 8 Lesson 4 Chapter 8 Lesson 5 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.3.7.A 2.3.7.C 2.3.7.E 2.3.7.F M07.B.2.1 M07.B.2.1 M07.C.1.2.2: Identify corresponding sides and / or angles of congruent or similar polygons. M07.B.2.1.1: Develop and / or use strategies to find the perimeter and / or area of compound figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet. M07.B.2.1.3: Find the area of triangles and / or all types of parallelograms (formulas provided on the reference sheet). How do measurements help you describe real-world objects How do measurements help you describe real-world objects Volume Lateral Face

Steelton-Highspire School District Curriculum Map Revised 2015-2016 21 Chapter 8 Lesson 6 Chapter 8 Lesson 7 Chapter 8 Lesson 8 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F 2.3.7.A 2.3.7.B 2.3.7.C 2.3.7.E 2.3.7.F M07.B.2.1 M07.B.2.1 M07.B.2.1 M07.B.2.1.3: Find the area of triangles and / or all types of parallelograms (formulas provided on the reference sheet). M07.B.2.1.1: Develop and / or use strategies to find the perimeter and / or area of compound figures (compound figures should only include quadrilaterals and triangles). Area formulas provided on the reference sheet. M07.B.2.1.3: Find the area of triangles and / or all types of parallelograms (formulas provided on the reference sheet). M07.B.2.1.3: Find the area of triangles and / or all types of parallelograms (formulas provided on the reference sheet). How do measurements help you describe real-world objects How do measurements help you describe real-world objects How do measurements help you describe real-world objects Surface area Lateral Surface Area Slant Height Regular Pyramid

Steelton-Highspire School District Curriculum Map Revised 2015-2016 22 Unit 5: Statistics and Probability Chapter 9 Lesson 1 Standard Anchor Concept * Eligible Content/ Objective 2.6.7.E 2.7.7.A 2.7.7.B 2.7.7.D M07.E.4.1 M07.E.3.1 M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.3.1.1: Find the theoretical probability of a simple and / or compound event (answer written as a fraction in lowest terms any compound events should be independent). M07.E.3.1.2: Find the theoretical probability of an event not occurring (e.g., what is the probability of not rolling a 1 on a number cube). How can you predict the outcome of future events? LEQ Vocabulary Resources/ Assessment Probability Outcome Simple Event Random Complementary Events

Steelton-Highspire School District Curriculum Map Revised 2015-2016 23 Chapter 9 Lesson 2 2.6.7.E 2.7.7.A 2.7.7.B 2.7.7.D M07.E.4.1 M07.E.3.1 M07.E.1.1 M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.3.1.1: Find the theoretical probability of a simple and / or compound event (answer written as a fraction in lowest terms any compound events should be independent). How can you predict the outcome of future events? Uniform probability Model Theoretical Probability Experimental Probability M07.E.3.1.3: Use data displayed in charts, graphs or tallies to find experimental probability. Chapter 9 Lesson 3 2.6.7.E 2.7.7.A 2.7.7.B 2.7.7.D M07.E.4.1 M07.E.3.1 M07.E.1.1 M07.E.1.1.1: Analyze data and / or answer questions pertaining to data represented in histograms, double bara graphs, multiple line graphs or stem-and-leaf plots. M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.3.1.1: Find the theoretical probability of a simple and / or compound event (answer written as a fraction in lowest terms any compound events should be independent). How can you predict the outcome of future events? Sample Space Tree Diagram Compound Event Chapter 9 Lesson 4 2.6.7.E 2.7.7.A M07.E.4.1 M07.E.1.1.1: Analyze data and / or answer questions pertaining to data represented in histograms, double bara graphs, multiple line graphs or stem-and-leaf plots. M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. How can you predict the outcome of future events? Simulation

Steelton-Highspire School District Curriculum Map Revised 2015-2016 24 Chapter 9 Lesson 5 How can you predict the outcome of future events? Fundamental Counting Principle Chapter 9 Lesson 6 How can you predict the outcome of future events? Permutation Chapter 9 Lesson 7 Chapter 10 Lesson 1 Chapter 10 Lesson 2 2.6.7.E 2.7.7.A 2.7.7.B 2.7.7.D 2.6.7.E 2.7.7.A 2.6.7.E 2.7.7.A M07.E.4.1 M07.E.1.1 M07.A.2.2 M07.E.4.1 M07.E.4.1 M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.1.1.1: Analyze data and / or answer questions pertaining to data represented in histograms, double bara graphs, multiple line graphs or stem-and-leaf plots. M07.A.2.2.1 Write ratios to compare quantities (e.g., ratio of boys to girls) M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. How can you predict the outcome of future events? How do you know which type of graph to use when displaying data? How do you know which type of graph to use when displaying data? Independent Events Dependent Events Statistics Survey Population sample Unbiased Sample Simple Random Sample Systematic Random Sample Biased Sample Convenience Sample Voluntary Response Sample

Steelton-Highspire School District Curriculum Map Revised 2015-2016 25 Chapter 10 Lesson 3 Chapter 10 Lesson 4 2.6.7.B 2.6.7.C 2.6.7.D 2.6.7.E 2.7.7.A 2.6.7.B 2.6.7.C 2.6.7.D 2.6.7.E 2.6.7.D M07.E.1.1 M07.E.4.1 M07.E.1.1 M07.E.2.1 M07.E.1.1.1: Analyze data and / or answer questions pertaining to data represented in histograms, double bar graphs, multiple line graphs or stem-and-leaf plots. M07.E.4.1.1: Formulate predictions and / or draw conclusions based on data displays (bar graphs, circle graphs or line graphs) or probability. M07.E.1.1.1: Analyze data and / or answer questions pertaining to data represented in histograms, double bar graphs, multiple line graphs or stem-and-leaf plots. M07.E.2.1.1: Identify / calculate the mean (average), median, mode or range of a set of data. How do you know which type of graph to use when displaying data? How do you know which type of graph to use when displaying data? Double Box Plot Double Dot Plot Chapter 10 Lesson 5 M07.E.2.1.2: Decide / choose which measure of central tendency ((mean, median, mode or range) would be most appropriate for a given situation. How do you know which type of graph to use when displaying data?