denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Cluster 1: Extend understanding of fraction equivalence and ordering. Students should learn to compare fractions both by using a common denominator (doesn’t have to be the least common denominator) or by using a common numerator. Only have students compare two fractions and they must use >, <, or = to show the results of the comparisons. Students must be able to justify the conclusion by using a visual fraction model or explaining in words. Students must understand that these comparisons are valid only when the two fractions refer to the same whole. Fractions can be fractions greater than one and students should not be guided to put fractions in lowest terms or to simplify. Denominators limited to: 2, 3, 4, 5, 6, 8, 10, 12, 100. Formative Assessment Options Summative Assessment Options Created PLC Created Assessment Bay District Schools Unit/Big Idea for Learning Goal 10 Pacing Date(s)
d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. fractions by applying and extending previous understandings of operations on whole numbers. Limit denominators to 2,3,4,5,6,8, 10,12,100 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = Domain: Number and Operations - Fraction Cluster 2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. How can you rename mixed numbers as fractions greater than one, and rename fractions greater than one as mixed numbers? Mixed number Ch. 7 Lesson 6 Rename Fractions and Mixed Numbers Limit denominators to 2,3,4,5,6,8, 10,12,100
1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. Understand a fraction a/b with a > 1 as a sum of fractions 1/b. c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. Domain: Number and Operations - Fraction Cluster 2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. How can you add and subtract mixed numbers with like denominators? Ch. 7 Lesson 7 Add and Subtract Mixed Numbers Students should not be guided to put fractions in lowest or to simplify. Limit denominators to 2,3,4,5,6,8, 10,12,100 Understand a fraction a/b c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed Domain: Number and Operations - Fraction Cluster 2: Build fractions from unit fractions by applying and extending previous understandings of How can you rename a mixed number to help you subtract? Ch. 7 Lesson 8 Subtraction With Renaming Students should not be guided to put fractions in lowest terms or to simplify. Limit denominators to 2,3,4,5,6,8, 10,12,100
and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to Domain: Number and Operations - Fraction Cluster 2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. How can you use the strategy Draw A Diagram to solve comparison problems with fractions? Ch. 8 Lesson 5 Problem Solving: Comparison Problems With Fractions (Do NOT use the mixed numbers in the problems, you have to change them to fractions such as ¾.) You may also supplement this lesson by using another resource such as CPALMS. Limit denominators to 2,3,4,5,6,8, 10,12,100
locate 0.62 on a number line diagram. compare decimal fractions. Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. Domain: Number and Operations - Fraction Cluster 3: Understand decimal notation for fractions, and compare decimal fractions. Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. Domain: Number and Operations - Fraction Cluster 3: Understand decimal notation for fractions, and compare decimal fractions. How can you record tenths and hundredths as fractions and decimals? Equivalent decimals Ch. 9 Lesson 3 Equivalent Fractions and Decimals
conclusions, e.g., by using a visual model. Formative Assessment Options Summative Assessment Options School/Grade/Teacher Created Go Math! Mid-Chapter and Chapter Assessments School/Grade/Teacher Created 3rd Nine Weeks: Unit/Big Idea for Learning Goal 13 Pacing Date(s) G Cluster 1: Draw and identify and angles, and classify shapes by properties of their lines and angles. 8 days Jan. 15- Jan. 28 Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in figures. Domain: Geometry Cluster 1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. How can you identify and draw points, lines, line segments, rays and angles? How can you identify and draw parallel lines and perpendicular lines? Acute angle Angle Line Line segment Obtuse angle Point Ray Right angle Straight angle Intersecting lines Parallel lines Perpendicular lines Ch. 10 Lesson 1 Lines, Rays and Angles Ch. 10 Lesson 3 Parallel Lines and Perpendicular Lines
Classify figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. Domain: Geometry Cluster 1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. How can you sort and classify quadrilaterals? Parallelogram Rectangle Rhombus Square Trapezoid Ch. 10 Lesson 4 Classify Quadrilaterals Recognize a line of symmetry for a figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. Domain: Geometry Cluster 1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. How can you check if a shape has line symmetry? How do you find lines of symmetry? Line of Symmetry Line symmetry Ch. 10 Lesson 5 Line Symmetry Ch. 10 Lesson 6 Find and Draw lines of Symmetry Formative Assessment Options Summative Assessment Options Created Go Math! Mid-Chapter and Chapter Assessments Created Unit/Big Idea for Learning Goal 14 Pacing Date(s)
e.g., by using an equation with a symbol for the unknown angle measure. Formative Assessment Options Summative Assessment Options School/Grade/Teacher Created Go Math! Mid-Chapter and Chapter Assessments School/Grade/Teacher Created Unit/Big Idea for Learning Goal 15 Pacing Date(s) MD Cluster 1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 13 days Feb. 10-Feb. 27 Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a table. For example, know that 1 ft. is 12 times as long as 1 in. Express the length of a 4 ft. snake as 48 in. Generate a conversion table for feet and inches listing the Domain: Measurement and Data Cluster 1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. How can you use benchmarks to understand the relative sizes of measurement units? Kilometer Mile Ch. 12 Lesson 1 Measurement Benchmarks
number pairs (1, 12), (2, 24), (3, 36), ... Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a table. For example, know that 1 ft. is 12 times as long as 1 in. Express the length of a 4 ft. snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ... Domain: Measurement and Data Cluster 1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. How can you use models to compare customary units of length? Ch. 12 Lesson 2 Customary Units of Length Know relative of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a Domain: Measurement and Data Cluster 1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. How can you use models to compare customary units of weight? Ounce Pound Ton Ch. 12 Lesson 3 Customary Units of Weight
Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a table. For example, know that 1 ft. is 12 times as long as 1 in. Express the length of a 4 ft. snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ... Cluster 1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a table. For example, know that 1 ft. is 12 times as long as 1 in. Express the length of a 4 ft. snake as 48 in. Generate a conversion table for feet and inches listing the Domain: Measurement and Data Cluster 1: problems involving measurement and conversion of measurements from a larger unit to a smaller unit. How can you use models to compare metric units of mass and liquid volume? Milliliter Ch. 12 Lesson 7 Metric Units of Mass and Liquid Volume
shortest specimens in an insect collection. Unit/Big Idea for Learning Goal 17 Pacing Date(s) MD Cluster 1: problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 7 days Mar. 5- Mar. 13 Florida Standard(s) Domain/Big Idea Essential Question(s) Vocabulary Instructional Resources the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. Domain: Measurement and Data Cluster 1: problems involving measurement and conversion of measurements from a larger unit to a smaller unit. How can you use a formula to find the perimeter of a rectangle? Perimeter Formula Ch. 13 Lesson 1 Perimeter Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a Domain: Measurement and Data Cluster 1: problems involving measurement and conversion of measurements from a How can you use a formula to find the area of a rectangle? Area Base Height Square unit Ch. 13 Lesson 2 Area
the length, by viewing the area formula as a multiplication equation with an unknown factor. measurements from a larger unit to a smaller unit. Formative Assessment Options Summative Assessment Options School/Grade/Teacher Created Go Math! Mid-Chapter and Chapter Assessments School/Grade/Teacher Created