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Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Days Topic KCAS Student Friendly Learning Target(s) Activities Assessments 3 days Number Line 6.NS.6 A&C TB 1.1 Ticket out the door: Explain how to use a vertical number line to compare two decimals or two fractions. 5 days Prime Factorization 6.NS.4 I can represent numbers on a number line. I can represent decimals on a number line. I can represent fractions on a number Line. I can find the prime factorization of numbers less than 100. I can use prime factorization to find the GCF of two numbers less than 100. TB 1.2, 1.3 Ticket out the door: Explain how finding the factors of 56 is different from writing 56 and the product of its prime factors. 10 days Negative Numbers and the Number Line 6.NS.7A, 6.NS.6, 6.NS7S, 6.NS.7b, 6.NS.7c, 6.NS.7d Chapter 2 Project: Opposites on a Number Linelesson found in the Activity book in TRT Formative Assessments: 2.1- Ticket out the DoorList two numbers that are greater than-10 and two numbers that are less than 10. Then list the numbers in order from least to greatest and explain how you can use a number line to help you compare the numbers. I can use negative numbers to represent real-world quantities. I can represent, compare, and order positive and negative numbers on a numberline. I can understand absolute value as its distance from 0 on the number line. Lesson 2.1 Activity: Negative Numbers- lesson found in the 2.2 Post It Note- Explain the difference between the Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Activity book in TRT absolute value of a number and the opposite of a number. Daily Resources and Materials to be used at the teacher’s discretionSee pages 42A in the Teacher’s Edition. 8 days Multiplying and Dividing Fractions and Decimals 6.NS.1, 6.NS.2, 6.NS.3 3.1: I can divide a fraction by a fraction or mixed number. I can divide a whole number by a fraction or a mixed number. I can divide a mixed number by a fraction or a mixed number. 3.2: I can multiply a decimal by a decimal. 3.3 I can divide a whole number or a decimal by a decimal. 3.4 I can solve problems involving fractions or decimals. Lesson 3.1 Activity: Computing with Decimals from TRT Activity Book Lesson 3.2 – 3.3 Activity: Multiplying and Dividing Decimals from TRT Activity Book Resources and Materials to be used at the teacher’s discretion- see pages 62A in Lesson 3.1 Math Journal: In your own words, explain how to divide any number by a fraction. Lesson 3.2 Short Answer: In your own words, explain how multiplication of whole numbers compares to multiplication with decimals. Lesson 3.3- Exit Slip Describe and model one method for dividing decimals. Lesson 3.4- Pair/ShareWrite a real word division problem for your partner Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 15 days Ratios 6.RP.1, 6.RP.3d, 6.RP.3a 4.1 I can write ratios to compare quantities. I can interpret ratios given in fraction form. I can use a ratio to find what fraction one quantity is of another or how many times as great is as one another. 4.2 I can write equivalent ratios. I can write ratios in simplest form. I can compare ratios. Teacher’s Edition. that can be solved using fraction or decimal division and then solve it. Lesson Activity 4.2 Equivalent Ratios Lesson 4.1 Exit Slip- A tree is 15 meters tall. A seedling next to it is 7 centimeters tall. What is the ratio of the height of the seedling to the height of the tree? Show your work. Lesson 4. 2 Exit Slip Find the missing term in the pair of equivalent ratios 6 : 5 = 5 24 : ? Should you use multiplication or division? Explain. Lesson Project: The Golden Ratio From Activity Book Resources and Materials to be used at the teacher’s discretion- see pages 114A in Teacher’s Edition. Lesson 4.3 Ticket out the Door A number of baseball cards were shared among Ray, Serge, and Tony in the ratio Ray : Serge : Tony = 2 : 4 : 9. If Serge got 55 fewer cards than Tony, how many cards did Tony get? Explain how to solve this problem. Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 10 days Rates 6.RP.2, 6.RP.3, 6.RP.3b 5.1 I can solve unit rate problems including rates and unit rates. 5.2 I can solve problems involving rates and unit rates. 6 days Percent 6.RP.3, 6.RP.3c 6.1 and 6.2 I can understand percent notation. I can write equivalent fractions, decimals, and percents. 6.3 I can find the percent of a number. 6.4 I can solve problems involving percent. I can solve problems TO BE USED AT THE TEACHER’S DISCRETION 5.1 Student Book A, pp. 159 –167 Extra Practice A, Lesson 5.1 Reteach A, Lesson 5.1 5.2 Student Book A, pp. 168 –178 Extra Practice A, Lesson 5.2 Reteach A, Lesson 5.2 Activity Book, Lesson 5.2 To Be used at the Teacher’s Discretion: Student Book A, pp. 1822184 Assessments Course 1, Chapter 6 PreTest Transition Guide, Course 1, Skills 24227 Student Book B, 5.1 In your own words, explain how a rate differs from a ratio and how a unit rate differs from a rate. 5.2 A factory produces 161 cars in 7 hours. At this rate, how many cars will the factory produce in 1 week? Assume the factory runs 24 hours a day, 7 days a week. Show your work. . 6.1 Of the 640 students at Jay’s school, 80 are fluent in a language other than English. Find the percent of students who are fluent in another language. Then express the percent as both a fraction in simplest form and as a decimal. Finally, find the Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 involving percent increase and decrease. pp. 1852188 Extra Practice A, Lesson 6.1 Reteach A, Lesson 6.1 Student Book A, pp. 189-192 Extra Practice A, Lesson 6.2 Reteach A, Lesson 6.2 Activity Book, Lesson 6.2 Student Book A, pp. 1932197 Extra Practice A, Lesson 6.3 Reteach A, Lesson 6.3 Activity Book, Lesson 6.3 Student Book A, pp. 1982203 Extra Practice A, Lesson 6.4 Reteach A, Lesson 6.4 Student Book A, pp. 2042213 Extra Practice A, Lesson 6.5 Reteach A, percent of students who are NOT fluent in another language. 6.2 Explain how 35% and the equivalent fraction and decimal are related to each other. 6.3 In your own words, explain how to use the unitary method to find a percent of a whole. 6.4 Create and solve a realworld percent problem that involves a royalty, sales tax, interest, or commission. 6.5 Create and solve a realworld problem that involves percent increase or percent decrease. Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Lesson 6.5 15 days Algebraic Expression 6.EE.2a.b.c 6.EE.3 6.EE.6 6.EE.4 7.1 I can use variables to write algebraic expressions. 7.2 I can evaluate algebraic expressions for given values of the variable. 7.3 I can simplify algebraic expressions in one variable. 7.3 I can recognize that the expression obtained after simplifying is equivalent to the original expression. 7.4 I can expand simple algebraic expressions. 7.4 I can factor simple algebraic expressions. 7.5 I can solve realworld problems involving algebraic expressions. Student Book A, pp. 2182220 Assessments Course 1, Chapter 7 PreTest Transition Guide, Course 1, Skills 28230 Student Book A, pp. 2212225 Extra Practice A, Lesson 7.1 Reteach A, Lesson 7.1 Activity Book, Lesson 7.1 Student Book A, pp. 2262228 Extra Practice A, Lesson 7.2 Reteach A, Lesson 7.2 Activity Book, Lesson 7.2 Student Book A, pp. 2292238 Extra Practice A, Lesson 7.3 Reteach A, 7.1Exit Slip- Ben is 3 times as old as Kyra. Dilip is 4 years younger than Kyra. If Kyra is x years old, how old is Ben? How old is Dilip? Write an algebraic expression for each boy’s age. 7.2 Write two algebraic expressions using x that when evaluated for x 5 3 give the same value. Show your work. 7.3 Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify your expression and find the perimeter of the garden if y 5 6. Show Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Lesson 7.3 Student Book A, pp. 2392245 Extra Practice A, Lesson 7.4 Reteach A, Lesson 7.4 Student Book A, pp. 2462252 Extra Practice A, Lesson 7.5 Reteach A, Lesson 7.5 15 days Equations and Inequalities 6.EE.2.a 6.EE.5 6.EE.8 6.EE.9 6.EE.7 8.1 I can solve equations in one variable. 8.2 I can express the relationship between two quantities as a Student Book A, pp. 124 Assessments, Chapter 8 Pre-Test Transition Guide, your work. 7.4 Write an algebraic expression and expand it by multiplying by a factor. Evaluate both expressions for the same value of the variable. Check that the answers to the evaluations are the same. 7.5 Briefly describe a situation in your classroom that can be described algebraically. Then, write an algebraic expression for it. Finally, evaluate the expression by substituting a realistic number for the variable. 8.1Exit Slip- Explain how inverse operations are used to solve equations in one variable. Include at least one example. Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 linear equation. 8.2 I can use a table or graph to represent a linear equation. 8.3 I can use substitution to determine whether a given number is a solution of an inequality. 8.3 I can represent the solutions of an inequality on a number line. 8.4 I can solve real world problems by writing equations. Course 1, Skills 31234 Student Book B, pp. 5212 Extra Practice B, Lesson 8.1 Reteach B, Lesson 8.1 Student Book A, pp. 13221 Extra Practice B, Lesson 8.2 Reteach B, Lesson 8.2 Activity Book, Lesson 8.2Student Book B, pp. 22228 Extra Practice B, Lesson 8.3 Reteach B, Lesson 8.3 Student Book B, pp. 29234 Extra Practice B, Lesson 8.4 Reteach B, Lesson 8.4 Student Book B pp. 34237 Activity Book, Chapter 8 Project Enrichment, 8.2 Math Journal- In your own words, describe a real-world math situation that involves two variables. Write a linear equation to describe the situation. 8.3Write an inequality for the number line below. Then give 4 possible solutions of the inequality: one whole number, one fraction, one mixed number, and one decimal. 8.4 In your own words, describe a simple real-world math situation that involves one variable Write an inequality to correctly describe the situation. Then draw a number line to represent the Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 6 days Coordinate Plane 6.NS.6c 6.NS.7c 6.NS.8 6.G.3 6.EE.2c 6.RP.3 a,b 9.1 I can name and locate points on the coordinate plane. 9.1I can draw and identify polygons on the coordinate plane. 9.2 I can find the lengths of horizontal and vertical line segments on the coordinate plane. 9.2 I can solve real world problems involving coordinates and a coordinate plane. 9.3 I can solve real world problems involving equations and a coordinate plane. Chapter 8 Assessments, Chapter 8 Test ExamViewR Assessment Suite CD-ROM Course 1 Student Book B, pp. 38241 Assessments Course 1, Chapter 9 PreTest Transition Guide, Course 1, Skills 35238 Student Book B, pp. 42249 Extra Practice B, Lesson 9.1 Reteach B, Lesson 9.1 Activity Book, Lesson 9.1 Student Book B, pp. 50261 Extra Practice B, Lesson 9.2 Reteach B, Lesson 9.2Student Book B, pp. 62266 Extra Practice B, inequality. 9.1 Exit Slip- Rectangle EFGH has each of its four vertices in a different quadrant. Name one possible set of coordinates for the vertices of EFGH. Identify the quadrant in which each vertex is located. 9.2 A line segment has endpoints W (21, 1) and X (6, 1). WX is one side of rectangle WXYZ, which has vertices in all four quadrants. The perimeter of WXYZ is 20 units. Name the locations of points Y and Z. Identify the lengths of YZ and WX . Find the area Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Lesson 9.3 Reteach B, Lesson 9.3 Student Book B pp. 66271 Activity Book, Chapter 9 Project Enrichment, Chapter 9 Assessments, Chapter 9 Test ExamView® Assessment Suite CD-ROM Course 1 10 days Coordinate Plane continued/ Area of Polygons 6.EE.2c 6.G.1, 6.G.3 10.1 I can use a formula to find the area of a triangle. 10.2 I can use a formula to find the Student Book B, pp. 72274 Assessments Course 1, Chapter 10 Pre- of the rectangle. 9.3A water tank has 10 gal of water in it. A hose is placed in the tank. Every min, 20 gal of water flows out of hose and into the tank. The number of gal of water g in the tank after m min is given by g 5 20m 1 10. Graph the relationship between m and g. Use 1 unit on the horizontal axis to represent 1 min and 1 unit on the vertical axis to represent 20 gal. How much water is in the tank at 1 min, 3 min, and 5 min? Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 area of a parallelogram, given its base and height. 10.2 I can use a formula to find the area of a trapezoid, given its bases and height. 10.3 I can divide polygons into triangles. 10.3 I can find the area of a regular polygon by dividing it into smaller shapes. 10.4 I can recognize that a plane figure is made up of polygons. 10.4 I can solve problems involving areas of composite figures. Test Transition Guide, Course 1, Skills 39241 Student Book B, pp. 78287 Extra Practice B, Lesson 10.1 Reteach B, Lesson 10.1 Activity Book, Lessons 10.1210.3 Student Book B, pp. 88298 Extra Practice B, Lesson 10.2 Reteach B, Lesson 10.2 Activity Book, Lessons 10.1210.3Student Book B, pp. 992103 Extra Practice B, Lesson 10.3 Reteach B, Lesson 10.3 Activity Book, Lessons 10.1210.3 Student Book B, pp. 1042112 Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 15 days Surface Area and Volume of Solids 6.EE.1, 6.EE.2c, 6.G.2 6.G.4. 12.1 I can identify the net of a prism and a pyramid. 12.1 I can identify the solid formed by a given net. 12.2 I can find the surface area of a prism and a pyramid. 12.3 I can find the volume of a prism. 12.4 I can solve problems involving surface area and volume of prisms. Extra Practice B, Lesson 10.4 Reteach B, Lesson 10.4 Student Book B, pp. 1132117 Activity Book, Chapter 10 Project Enrichment, Chapter 10 Assessments, Chapter 10 Test ExamView® Assessment Suite CD-ROM Course 1 Student Book B, pp. 1682171 Assessments Course 1, Chapter 12 PreTest Transition Guide, Course 1, Skills 48250 Student Book B, pp. 1722180 Extra Practice B, Lesson 12.1 Reteach B, Lesson 12.1 Student Book B, 12.1Work with a partner. Write down the name of one of the solids discussed in the lesson. Without showing the name, tell your partner which shape or shapes make up the faces of the solid (including the bases) and how many of each type. Then your partner should identify the Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 pp. 1812188 Extra Practice B, Lesson 12.2 Reteach B, Lesson 12.2Student Book B, pp. 1892199 Extra Practice B, Lesson 12.3 Reteach B, Lesson 12.3 Activity Book, Lesson 12.3 Student Book B, pp. 2002208 Extra Practice B, Lesson 12.4 Reteach B, Lesson 12.4 Student Book B pp. 2082213 Activity Book, Chapter 12 Project Enrichment, Chapter 12 Assessments, Chapter 12 Test ExamView® Assessment Suite CD-ROM Course 1 solid and draw an example of a net that will form it. 12.2In your own words, explain how to find the surface area of a cube, prism, or pyramid. 12.3 A triangular prism and a rectangular prism are the same height and have the same volume. Identify a set of possible dimensions for the bases of the prisms. The area of the bases must be equal. 12.4 A triangular prism is 20 in. high. Its triangular bases have a base of 30 in. and a height of 10 in. Write a real-world problem involving this triangular prism. Find the surface area and volume. Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 8 days Measures of Central Tendency 6.SP.1 , 6.SP.2 , 6.SP.4 6.SP.5, 6.SP. 3 14.1 I can find the mean of a set of data. 14.1 I can use the mean of a set of data to solve problems. 14.2 I can find the median of a set of data. 14.2 I can use the median of a set of data to solve problems. 14.3 I can find the mode of a set of data. 14.3 I can use the mode of a set of data to solve problems. 14.5 I can solve problems that are related to the concepts of mean, median and mode, including selection of the measure of central tendency to be used for problems. Student Book B, pp. 2422243 Assessments Course 1, Chapter 14 PreTest Transition Guide, Course 1, Skills 52–53 Student Book B, pp. 2442250 Extra Practice B, Lesson 14.1 Reteach B, Lesson 14.1 Activity Book, Lesson 14.1 Student Book B, pp. 2512257 Extra Practice B, Lesson 14.2 Reteach B, Lesson 14.2Student Book B, pp. 2582263 Extra Practice B, Lesson 14.3 Reteach B, Lesson 14.3 Student Book B, pp. 2642271 Extra Practice B, Lesson 14.4 14.1 In your own words, describe how to find the mean of a set of values. 14.2 In your own words, describe how to find the median of a set of values. 14.3 In your own words, describe how to find the mode of a data set. 14.4Explain how the measures of center in a skewed distribution and in a symmetrical distribution differ. Knott County Schools 2012-2013 Mathematics Curriculum Grade 6 Reteach B, Lesson 14.4 Student Book B, pp. 272 – 279 Activity Book, Chapter 14 Project Enrichment, Chapter 14 Assessments, Chapter 14 Test, End-of-Course Test ExamView® Assessment Suite CD-ROM Course 1 14 days Review for KPREP Buckle Down books