Alexander County Schools 2012-2013 Unit: The Number System 7th Grade Math Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers. Common Core and/or Essential Standards: 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Q1 Q2 Q3 Q4 Transfer: Students will be able to independently use their learning to Apply that rational numbers can be represented in multiple ways and are useful when examining situations involving numbers that are not whole. 7.NS.3 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Meaning Understandings: Students will understand that Essential Question(s): Students will understand that real-world problems can be solved by performing addition, subtraction, multiplication and division of rational numbers. Students will understand that using properties of operations as strategies applies to the addition of rational numbers. Students will understand that the procedures for multiplying and dividing integers should generalize to all rational numbers. Students will understand that the property of closure exists for the division of rational numbers, but not for whole numbers. Students will understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property. Students will understand how to write and solve equations for realworld problems and explain how the properties of operations apply (Ex. Profit/loss, money, weight, sea level, debit/credit, football yardage, etc.). In what ways can rational numbers be useful?
Acquisition Students will know: Students will be skilled at: Long division and how to convert a fraction to a decimal. Using number lines/or positive and negative chips to explain their How to verify that a number is rational based on its decimal equivalent. reasoning (physical and kinesthetic modeling). How to add, subtract, multiply and divide fractions. Using number lines to show addition as a distance from one number to Extend the rules for manipulating fractions to complex fractions (positive and another. negative mixed numbers and improper fractions). Describing real-world situations where opposite quantities have a sum of zero. Rewriting subtraction as addition by using the additive inverse. Using properties of operations to add and subtract rational numbers. Using patterns and properties to explore the multiplication of integers. Essential Vocabulary: Absolute value, negative and positive numbers, terminating and repeating decimals, additive inverse, integer, rational number, long division, and complex fraction. IT Standards: 7.SI.1.1 Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic). 7.SI.1.2 Evaluate content for relevance to the assigned task. 7.SI.1.3 Evaluate resources for point of view, bias, values, or intent of information. 7.TT.1.1 Use appropriate technology tools and other resources to access information. 7.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. graphic organizers, databases, spreadsheets, and desktop publishing). 7.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files). 7.RP.1.1 Implement a collaborative research process activity that is group selected. 7.RP.1.2 Implement an independent research process activity that is student selected. 7.SE.1.1 Apply ethical behavior (copyright, not plagiarizing, proper netiquette) when using resources. 7.SE.1.2 Apply the safety precautions necessary when using online resources (personal information, passwords, etc.). Mathematical Practices Most Used: #1 - Make sense of problems and persevere in solving them. #4 - Model with mathematics. #8 - Look for and express regularity in repeated reasoning. IT Strategies:
Unit Title: The Number System Grade: 7 th Subject: Math STAGE 2 Understandings: Students will understand that... Revised Blooms Formative Assessments (Evidences) Summative Assessment Real-world problems can be solved by performing addition, subtraction, multiplication and division of rational numbers. Using properties of operations as strategies applies to the addition of rational numbers. The procedures for multiplying and dividing integers should generalize to all rational numbers. Multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property. How to write and solve equations for real-world problems and explain how the properties of operations apply (Ex. Profit/loss, money, weight, sea level, debit/credit, football yardage, etc.) Essential Questions: In what ways can rational numbers be useful? Creating: create new product or point of view? Evaluating: justify a stand or decision? Analyzing: distinguish between the different parts? Applying: use the information in a new way? Understanding: explain ideas or concepts? Remembering: recall or remember the information? assemble, construct, create, design, develop, formulate & write. appraise, argue, defend, judge, select, support, value & evaluate appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question & test. choose, demonstrate, dramatize, employ, illustrate, interpret, operate, schedule, sketch, solve, use & write. classify, describe, discuss, explain, identify, locate, recognize, report, select, translate & paraphrase define, duplicate, list, memorize, recall, repeat, reproduce & state (Choose Appropriate Strategies) Entry/Exit Ticket Muddiest Point Dump and Clump Individual Whiteboards Think-Pair-Share Student Generated Diagrams Reciprocal Questioning Quiz Games Leap Frog Focused Listening Application Cards Jigsaw Groups Graphic Organizers Two column Notes Shape Up Review Trading Cards Problem/Solution Guide Learning Frames I Have/Who Has Quizzes (If permitted to correct for better grade) Learning Experience (Homework If permitted to correct for better grade) Foldables (Choose Appropriate Strategies) Multiple Choice Multiple Choice/Gridded Response Interactive Projects (Glogster, Blaverize, Voki) Foldable Portfolio Student Based Learning Projects Blog/Wiki Response Powerpoint Presentation
STAGE 3 Approximate number of days spent on unit: 20 days W Where are we going? Why? What is expected? H How will we Hook and Hold students? E How will we Equip students to Explore and Experience? R How will we help students Rethink, Rehearse, Revise, and Refine? E How will student self Evaluate and reflect on learning? T How will we Tailor learning to vary needs, interests, and styles? O How will we Organize and sequence the learning? Resources: - Textbook - Calculator - Positive/Negative Chips - Number Lines - DPI Blackline Masters - Week By Week Essentials - Weekly Reader - Promethean Planet Website - Carnegie Learning - Pizzazz - AIMS Education - Interactive Websites - Number Cubes - Teacher Tube Videos Strategies: - Human Number Line - Drill and Practice - Lecture - Independent Practice - Guided Practice - Group Activities - Target Notes - Graphic Organizers - Foldable - Two Column Notes - Sticky Notes - Venn Diagrams - Give One Get One - Problem Solution Guide - Word Wall (Introduction of vocabulary) - Group Research/Teach - KWL
Alexander County Schools 2012-2013 Unit: Ratios and Proportional Relationships Q1 Q2 Q3 Q4 7th Grade Math Analyze proportional relationships and use them to solve real-world and mathematical problems. Common Core and/or Essential Standards: 7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. 7.RP.2: Recognize and represent proportional relationships between quantities. 7.RP.3: Use proportional relationships to solve multi-step ratio and percent problems. Transfer: Students will be able to independently use their learning to Recognize and express how quantities are related and how quantities change in relation to each other in ratios and proportional relationships in a real world context. Understandings: Students will understand that Meaning Essential Question(s): Proportional relationships can help solve a wide variety of percent problems. Not all mathematical relationships are proportional There is a mathematical foundation for cross multiplication An equation is a mathematical expression of a verbal phrase. The unit rate is a measure of the steepness of the line (slope). Percent error is the process of expressing the size of the error, or deviation, between two measurements. How can ratios and proportional relationships be used to determine unknown quantities? Acquisition Students will know: Students will be skilled at: Unit rates. Determining if numbers in a table represent a proportional Unit rates involving fractions compared to fractions relationship. Ratio tables. Solving problems using ratio tables and unit rates. Fractions may be proper or improper. Determining if two relationships are proportional by graphing. Multiplicative reasoning. Identifying the constant of proportionality from tables, graphs, Percent error. equations, and verbal descriptions of proportional When graphing, the y-coordinate when x=1 will be the unit rate relationships. Writing equations and identifying the coefficient as the unit
Ordered pairs are in a proportional relationship if they form a straight line through the origin. The constant of proportionality is the unit rate rate, which is also the constant of proportionality. Using cross multiplication to solve problems. Solving problems involving tax, markups, markdowns, simple interest (I=Prt), gratuities, and commissions, fees, percent increase and decrease, and percent error. Essential Vocabulary: Constant of proportionality, tax, markups, markdowns, simple interest, principal, rate, time, gratuities, commissions, fees, percent increase, percent decrease, percent error, absolute deviation, and coefficient. IT Standards: 7.SI.1.1 Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic). 7.SI.1.2 Evaluate content for relevance to the assigned task. 7.SI.1.3 Evaluate resources for point of view, bias, values, or intent of information. 7.TT.1.1 Use appropriate technology tools and other resources to access information. 7.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. graphic organizers, databases, spreadsheets, and desktop publishing). 7.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files). 7.RP.1.1 Implement a collaborative research process activity that is group selected. 7.RP.1.2 Implement an independent research process activity that is student selected. 7.SE.1.1 Apply ethical behavior (copyright, not plagiarizing, proper netiquette) when using resources. 7.SE.1.2 Apply the safety precautions necessary when using online resources (personal information, passwords, etc.). IT Strategies: Mathematical Practices Used: #2 - Reason abstractly and quantitatively.
Unit Title: Ratios and Proportional Relationships Grade: 7 th Subject: Math STAGE 2 Understandings: Proportional relationships can help solve a wide variety of percent problems. Not all mathematical relationships are proportional There is a mathematical foundation for cross multiplication An equation is a mathematical expression of a verbal phrase. The unit rate is a measure of the steepness of the line (slope). Percent error is the process of expressing the size of the error, or deviation, between two measurements. Essential Questions: How can ratios and proportional relationships be used to determine unknown quantities? Creating: create new product or point of view? Evaluating: justify a stand or decision? Analyzing: distinguish between the different parts? Applying: use the information in a new way? Understanding: explain ideas or concepts? Remembering: recall or remember the information? Revised Blooms assemble, construct, create, design, develop, formulate & write. appraise, argue, defend, judge, select, support, value & evaluate appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question & test. choose, demonstrate, dramatize, employ, illustrate, interpret, operate, schedule, sketch, solve, use & write. classify, describe, discuss, explain, identify, locate, recognize, report, select, translate & paraphrase define, duplicate, list, memorize, recall, repeat, reproduce & state Formative Assessments (Evidences) (Choose Appropriate Strategies) Entry/Exit Ticket Muddiest Point Dump and Clump Individual Whiteboards Think-Pair-Share Student Generated Diagrams Reciprocal Questioning Quiz Games Leap Frog Focused Listening Application Cards Jigsaw Groups Graphic Organizers Two column Notes Shape Up Review Trading Cards Problem/Solution Guide Learning Frames I Have/Who Has Quizzes (If permitted to correct for better grade) Learning Experience (Homework If permitted to correct for better grade) Foldables Rubrics Summative Assessment (Choose Appropriate Strategies) Multiple Choice Multiple Choice/Gridded Response Interactive Projects (Glogster, Blaverize, Voki) Foldable Portfolio Student Based Learning Projects Blog/Wiki Response Powerpoint Presentation
STAGE 3 Approximate number of days spent on unit: W Where are we going? Why? What is expected? H How will we Hook and Hold students? E How will we Equip students to Explore and Experience? R How will we help students Rethink, Rehearse, Revise, and Refine? E How will student self Evaluate and reflect on learning? T How will we Tailor learning to vary needs, interests, and styles? O How will we Organize and sequence the learning? Resources: Textbook Calculator DPI Blackline Masters Week By Week Essentials Weekly Reader Promethean Planet Website Carnegie Learning Pizzazz! AIMS Education Interactive Websites Teacher Tube Videos House Plans Recipes Maps Strategies: Drill and Practice Lecture Independent Practice Guided Practice Group Activities Target Notes Graphic organizers Foldable Two Column Notes Sticky Notes Venn Diagrams Give One Get One Problem Solution Guide Word Wall (Introduction of vocabulary) Group Research/Teach KWL
Alexander County Schools 2012-2013 Unit: Expressions and Equations 7th Grade Math Use properties of operations to generate equivalent expressions. Q1 Q2 Q3 Q4 Common Core and/or Essential Standards: 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Transfer: Students will be able to independently use their learning to Model algebraic expressions and equations related to real-life problems and represent quantitative relationships so that the numbers and symbols can be mindfully manipulated to reach a solution or make sense of the quantitative relationship. Understandings: Students will understand that Meaning Essential Question(s): Properties of operations can be used to add, subtract, factor, and expand linear expression. An expression can be rewritten to help them make better sense of it. How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations? Students will know: Acquisition Students will be skilled at: Properties of operations. Linear expressions. Combining like terms (simplifying expressions). How to write a verbal phrase as an expression. Factoring and expanding linear expressions. Applying properties of operations and working with rational numbers (integers, and positive/negative fractions, and decimals) to write equivalent expressions. Rewriting expressions in terms of a contextual situation Use the commutative and associative properties to add linear expressions with rational coefficients. Use the distributive property to add and/or subtract linear expressions with rational coefficients. Use the distributive property to factor a linear expression with rational coefficients. Use the distributive property to expand a linear expression with rational coefficients. Essential Vocabulary: Linear expression, coefficient, rational, like terms, factor, expand, quantitative, equation, expression.
IT Standards: 7.SI.1.1 Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic). 7.SI.1.2 Evaluate content for relevance to the assigned task. 7.SI.1.3 Evaluate resources for point of view, bias, values, or intent of information. 7.TT.1.1 Use appropriate technology tools and other resources to access information. 7.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. graphic organizers, databases, spreadsheets, and desktop publishing). 7.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files). 7.RP.1.1 Implement a collaborative research process activity that is group selected. 7.RP.1.2 Implement an independent research process activity that is student selected. 7.SE.1.1 Apply ethical behavior (copyright, not plagiarizing, proper netiquette) when using resources. 7.SE.1.2 Apply the safety precautions necessary when using online resources (personal information, passwords, etc.). IT Strategies: Mathematical Practices Most Used: #7 - Look for and make use of structure.
Unit Title: Expressions and Equations (Use Properties of operations to generate equivalent expressions) Grade: 7 th Subject: Math STAGE 2 Understandings: Revised Blooms Formative Assessments (Evidences) Summative Assessment Properties of operations can be used to add, subtract, factor, and expand linear expressions. An expression can be rewritten to help them make better sense of it. Essential Questions: How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations? Creating: create new product or point of view? Evaluating: justify a stand or decision? Analyzing: distinguish between the different parts? Applying: use the information in a new way? Understanding: explain ideas or concepts? Remembering: recall or remember the information? assemble, construct, create, design, develop, formulate & write. appraise, argue, defend, judge, select, support, value & evaluate appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question & test. choose, demonstrate, dramatize, employ, illustrate, interpret, operate, schedule, sketch, solve, use & write. classify, describe, discuss, explain, identify, locate, recognize, report, select, translate & paraphrase define, duplicate, list, memorize, recall, repeat, reproduce & state (Choose Appropriate Strategies) Entry/Exit Ticket Muddiest Point Dump and Clump Individual Whiteboards Think-Pair-Share Student Generated Diagrams Reciprocal Questioning Quiz Games Leap Frog Focused Listening Application Cards Jigsaw Groups Graphic Organizers Two Column Notes Shape Up Review Trading cards Problem/Solution Guide Learning Frames I Have/Who Has? Quizzes (If permitted to correct for a better grade) Learning Experience (Homework - If permitted to correct for a better grade) Foldable Rubrics (Choose Appropriate Strategies) Multiple Choice Multiple Choice/Gridded Response Interactive Projects (Glogster, Blaberize, Voki) Foldable Portfolio Student Based Learning Projects Blog/Wiki Response Power Point Presentation
STAGE 3 Approximate number of days spent on unit: 15 Days W Where are we going? Why? What is expected? H How will we Hook and Hold students? E How will we Equip students to Explore and Experience? R How will we help students Rethink, Rehearse, Revise, and Refine? E How will student self Evaluate and reflect on learning? T How will we Tailor learning to vary needs, interests, and styles? O How will we Organize and sequence the learning? Resources: Strategies: Textbook Calculator Positive/Negative Chips DPI Black Line Masters Week By Week Essentials Weekly Reader Promethean Planet Website Carnegie Learning Pizzazz! AIMS Education Interactive Websites Number Cubes Teacher Tube Videos Hands-on Equations Drill and Practice K-W-L Lecture Independent Practice Guided Practice Group Activities Target Notes Graphic Organizers Foldable Two Column Notes Sticky Notes Venn Diagrams Give One Get One Problem Solution Guide Word Wall (Introduction of Vocabulary) Group Research/Teach
Alexander County Schools 2012-2013 Unit: Expressions and Equations 7th Grade Math Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Q1 Q2 Q3 Q4 Common Core and/or Essential Standards: 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. Transfer: Students will be able to independently use their learning to Recognize that algebraic expressions and equations are used to model real-life problems and represent quantitative relationships, so that the numbers and symbols can be mindfully manipulated to reach a solution or make sense of the quantitative relationships. Understandings: Students will understand that Meaning Essential Question(s): Estimation is a useful tool to judge reasonableness of solutions. Writing algebraic equations and inequalities in the correct order is critical to their ability to solve the equation or inequality. Performing inverse operations in the proper sequence in order to explain how to solve algebraic equations and inequalities. How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations?
Students will know: Acquisition Students will be skilled at: How to convert between fractions, decimals, and percents. Understand how to use estimation to justify the reasonableness of answers. How to use a variable to represent an unknown quantity. Solve equations and inequalities derived from word problems. The sequence of operations needed to solve equations and inequalities. How to compare an arithmetic solution to an algebraic solution. How to graph a solution set of an inequality. How to interpret the solution set of an inequality. How to describe the solution to an inequality in relation to the problem. Solving contextual problems using rational numbers. Solving problems that require converting between fractions, decimals, and percents. Estimating to justify the reasonableness of numbers. Writing algebraic equations or inequalities to represent a realworld problem. Solving algebraic equations or inequalities by using the properties of equality or mathematical reasoning and show or explain my steps. Identifying the sequence of operations used in solving equations. Graphing a solution set to an inequality. Making sense of an inequality in context. Determining the maximum or minimum value for an inequality in context. Essential Vocabulary: Rational number, estimation, reasonableness, inequality, coefficients, minimum, maximum, and variable IT Standards: 7.SI.1.1 Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic). 7.SI.1.2 Evaluate content for relevance to the assigned task. 7.SI.1.3 Evaluate resources for point of view, bias, values, or intent of information. 7.RP.1.1 Implement a collaborative research process activity that is group selected. 7.RP.1.2 Implement an independent research process activity that is student selected. 7.SE.1.1 Apply ethical behavior (copyright, not plagiarizing, proper 7.SE.1.2 netiquette) when using resources. Apply the safety precautions necessary when using online resources (personal information, passwords, etc.). 7.TT.1.1 Use appropriate technology tools and other resources to access information. 7.TT.1.2 Use appropriate technology tools and other resources to organize information (e.g. graphic organizers, databases, spreadsheets, and desktop publishing). IT Strategies:
7.TT.1.3 Use appropriate technology tools and other resources to design products to share information with others (e.g. multimedia presentations, Web 2.0 tools, graphics, podcasts, and audio files). Mathematical Practices Most Used: #1 - Make sense of problems and persevere in solving them. #2 - Reason abstractly and quantitatively.
Unit Title: Expressions and Equations Grade: 7 th Subject: Math STAGE 2 Understandings: Revised Blooms Formative Assessments (Evidences) Summative Assessment Estimation is a useful tool to judge reasonableness of solutions. Writing algebraic equations and inequalities in the correct order is critical to their ability to solve the equation or inequality. Performing inverse operations in the proper sequence in order to explain how to solve algebraic equations and inequalities. Essential Questions: How can algebraic expressions and equations be used to model, analyze, and solve mathematical situations? Creating: create new product or point of view? Evaluating: justify a stand or decision? Analyzing: distinguish between the different parts? Applying: use the information in a new way? Understanding: explain ideas or concepts? Remembering: recall or remember the information? assemble, construct, create, design, develop, formulate & write. appraise, argue, defend, judge, select, support, value & evaluate appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question & test. choose, demonstrate, dramatize, employ, illustrate, interpret, operate, schedule, sketch, solve, use & write. classify, describe, discuss, explain, identify, locate, recognize, report, select, translate & paraphrase define, duplicate, list, memorize, recall, repeat, reproduce & state (Choose Appropriate Strategies) Entry/Exit Ticket Muddiest Point Dump and Clump Individual Whiteboards Think-Pair-Share Student Generated diagrams Reciprocal Questioning Quiz Games Leap Frog Focused Listening Application Cards Jigsaw Groups Graphic Organizers Two Column Notes Shape Up Review Trading Cards Problem/Solution Guide Learning Frames I Have/Who Has? Quizzes (If permitted to correct for better grade) Learning Experience (Homework If permitted to correct for better grade) Foldable Rubrics (Choose Appropriate Strategies) Multiple Choice Multiple Choice/Gridded Response Interactive Projects (Glogster, Blaberize, Voki) Foldable Portfolio Student Based Learning Projects Blog/Wiki Response PowerPoint Presentation
STAGE 3 Approximate number of days spent on unit: W Where are we going? Why? What is expected? H How will we Hook and Hold students? E How will we Equip students to Explore and Experience? R How will we help students Rethink, Rehearse, Revise, and Refine? E How will student self Evaluate and reflect on learning? T How will we Tailor learning to vary needs, interests, and styles? O How will we Organize and sequence the learning? Resources: Textbook Calculator DPI Blackline Masters Week By Week Essentials Weekly Reader Promethean Planet Website Carnegie Learning Pizzazz! AIMS Education Interactive Websites Teacher Tube Videos Hands-on Equations Strategies: KWL Drill and Practice Lecture Independent Practice Guided Practice Group Activities Target Notes Graphic organizers Foldable Two Column Notes Sticky Notes Venn Diagrams Give One Get One Problem Solution Guide Word Wall (Introduction of vocabulary)
Alexander County Schools 2012-2013 Unit: Geometry 7th Grade Math Draw, construct, and describe geometrical figures and describe the relationships between them. Q1 Q2 Q3 Q4 Common Core and/or Essential Standards: - 7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. - 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. - 7.G.3 Describe the two-dimensional figures that result from slicing three dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Understandings: Students will understand that... Transfer: Students will be able to independently use their learning to... Provide descriptive information about an object s properties and position in space and support visualization and problem solving in a real-world context. Meaning Essential Question(s): Being able to visualize and then represent geometric figures on paper is essential to solving geometric problems. Lengths of objects are not limited to whole numbers but also include fractions and decimals. Not just any three sizes of angles will create a triangle. In a scale drawing, the lengths will change by a factor equal to the product of the magnitude of the two size transformations. How does geometry better describe objects? Acquisition
Students will know: How to determine when two figures are proportional. How to use a scale factor. How to find angle sums for regular polygons. Students will be skilled at: Using scale drawings to determine the actual dimensions and area of a geometric figure. Using a different scale to reproduce a similar scale drawing. Drawing a geometric shape with specific conditions. Constructing a triangle when given three measurements. Determining when tree specific measurements will result in one unique triangle more than one possible triangle, or no possible triangles. Naming the 2-D figure that represents a particular slice of a 3-D figure. Using pattern blocks to represent scale. Essential Vocabulary: Scale drawing, right rectangular prism, right rectangular pyramid, similarity, congruence, perimeter, and area. IT Standards: IT Strategies:
Mathematical Practices Most Used: #2 - Reason abstractly and quantitatively. #4 - Model with mathematics. #5 - Use appropriate tools strategically.
Unit Title: Geometry Grade: 7 th Grade Subject: Math STAGE 2 Understandings: Being able to visualize and then represent geometric figures on paper is essential to solving geometric problems. Lengths of objects are not limited to whole numbers but also include fractions and decimals. Not just any three sizes of angles will create a triangle. In a scale drawing, the lengths will change by a factor equal to the product of the magnitude of the two size transformations. Essential Questions: How does geometry better describe objects? Creating: create new product or point of view? Evaluating: justify a stand or decision? Analyzing: distinguish between the different parts? Applying: use the information in a new way? Understanding: explain ideas or concepts? Remembering: recall or remember the information? Revised Blooms assemble, construct, create, design, develop, formulate & write. appraise, argue, defend, judge, select, support, value & evaluate appraise, compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question & test. choose, demonstrate, dramatize, employ, illustrate, interpret, operate, schedule, sketch, solve, use & write. classify, describe, discuss, explain, identify, locate, recognize, report, select, translate & paraphrase define, duplicate, list, memorize, recall, repeat, reproduce & state Formative Assessments (Evidences) (Choose Appropriate Strategies) o Entry/Exit Ticket o Muddiest Point o Dump and Clump o Individual Whiteboards o Think-Pair-Share o Student Generated diagrams o Reciprocal Questioning o Quiz Games o Leap Frog o Focused Listening o Application Cards o Jigsaw Groups o Graphic Organizers o Two Column Notes o Shape Up Review o Trading Cards o Problem/Solution Guide o Learning Frames o I Have/Who Has? o Quizzes (If permitted to correct for better grade) o Learning Experience (Homework If permitted to correct for better grade) o Foldable o Rubrics Summative Assessment o Multiple Choice o Multiple Choice/Gridded Response o Interactive Projects (Glogster, Blaberize, Voki) o Foldable o Portfolio o Student Based Learning Projects o Blog/Wiki Response o PowerPoint Presentation
Approximate number of days spent on unit: 15 Days W Where are we going? Why? What is expected? H How will we Hook and Hold students? E How will we Equip students to Explore and Experience? R How will we help students Rethink, Rehearse, Revise, and Refine? E How will student self -Evaluate and reflect on learning? T How will we Tailor learning to vary needs, interests, and styles? O How will we Organize and sequence the learning? Stage 3 Resources: Textbook Calculator DPI Blackline Masters Week By Week Essentials Weekly Reader Promethean Planet Website Carnegie Learning Pizzazz! AIMS Education Interactive Websites Teacher Tube Videos Geometric Shape Nets Dot / Graph Paper Geoboards Strategies: KWL Drill and Practice Lecture Independent Practice Guided Practice Group Activities Target Notes Graphic organizers Foldable Two Column Notes Sticky Notes Venn Diagrams Give One Get One Problem Solution Guide Word Wall (Introduction of vocabulary) Group Research/Teach