Number and Operations - Fractions

NF.1.3c Number and Operations - Fractions NF.1.3 NF.1.2b NF.1.2a Understand Fractions February 3 - February 20 NF.1.2 NF.1.1 Math! Lessons Develop understanding of fractions as numbers. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Understand a fraction as a number on the number line; represent fractions on a number line diagram. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. explore and identify equal parts of a whole. divide models to make equal shares. use a fraction to name one part of a whole that is divided into equal parts. read, write, and model fractions that represent more than one part of a whole that is divided into equal parts. represent and locate fractions on a number line. relate fractions and whole numbers by expressing whole numbers as fractions and recognizing fractions that are equivalent to whole numbers. model, read, and write fractional parts of a group. find fractional parts of a group using unit fractions. solve fraction problems by using the strategy draw a diagram. identify, read, and write fractions greater than 1. 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 7.5 denominator, eighths, equal parts, fourths, fraction, fraction greater than 1, halves, numerator, sixths, thirds, unit fraction, whole, mixed number Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. MA.3.A.2.1 Represent fractions, including fractions greater than one, using area, set, and linear models. * pairing based on content similarities

Number and Operations - Fractions NF.1.3d NF.1.3b Compare Fractions February 21 - March 12 NF.1.3a NF.1.3 Math! Lessons Develop understanding of fractions as numbers. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, Develop understanding of fractions as numbers. Recognize and generate simple equivalent fractions. Explain why the fractions are equivalent. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions. solve comparison problems by using the strategy act it out. compare fractions with the same denominator by using models and reasoning strategies. compare fractions with the same numerator by using models and reasoning strategies. compare fractions by using models and strategies involving the size of pieces in the whole. compare and order fractions by using models and reasoning strategies. model equivalent fractions by folding paper using area models, and using number lines. for both fractions greater than one and mixed numbers written as fractions greater than one, generate equivalent fractions using models. use models and benchmarks to compare the size of fractions. compare fractions, including fractions greater than one using models and strategies. order fractions by using models and strategies. 9.1 9.2 9.3 9.4 9.5 9.6 9.7 8.7 8.2 8.4 8.5 equivalent, equivalent fractions, compare, equal to, greater than, less than, order, benchmarks MA.3.A.2.3 Compare and order fractions, including fractions greater than one, using models and strategies. MA.3.A.2.4 Use models to represent fractions, including fractions greater than one, and identify representations of equivalence. * pairing based on content similarities

Measurement and Data MD.4.8 Length and Perimeter March 13 - March 28 MD.2.4 Math! Lessons Represent and interpret data. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units--whole numbers, halves, or quarters. Geometric measurement: recognize perimeter. Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters. measure length to the nearest half or fourth inch and use measurement data to make a line plot. explore perimeter of polygons by counting units on grid paper. estimate and measure perimeter of polygons using inch and centimeter units. find the unknown length of a side of a polygon when you know its perimeter. measure length to the nearest centimeter and to the nearest millimeter. 10.6 11.1 11.2 11.3 11.5 inch, length, perimeter, ruler, centimeter (cm), millimeter (mm) MA.3.G.5.2 Measure objects using fractional parts of linear units such as 1/2, 1/4, and 1/10. * pairing based on content similarities

Two-Dimensional Shapes March 31 - April 21 Geometry G.1.1 MA.3.G.3.1 MA.3.G.3.2 MA.3.G.3.3 MA.3.A.4.1 Reason with shapes and their attributes. Understand that shapes in different categories may share attributes, and that the shared attributes can define a larger category. Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. Describe, analyze, compare, and classify two-dimensional shapes using sides and angles - including acute, obtuse, and right angles - and connect these ideas to the definition of shapes. Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides. Build, draw, and analyze two-dimensional shapes form several orientations in order to examine and apply congruence and symmetry. Create, analyze, and represent patterns and relationships using words, variables, table, and graphs. identify and describe attributes of plane shapes. identify polygons by the number of sides they have. determine if lines or line segments are intersecting, perpendicular, or parallel. describe, classify, and compare quadrilaterals based on their sides and angles. draw quadrilaterals. solve problems by using the strategy draw a diagram to classify plane shapes. describe and classify angles. describe, classify, and compare triangles. combine plane shapes to make new shapes. separate plane shapes to make new shapes. use plane shapes to find patterns. transform combined plane shapes to make new shapes. identify two-dimensional congruent shapes. identify lines of symmetry on two-dimensional shapes. 12.1 12.3 12.4 12.5 12.6 12.8 9.4 9.6 10.1 10.2 10.4 10.5 10.7/10.8 closed shape, decagon, endpoint, hexagon, intersecting lines, line, line segment, octagon, open shape, parallel lines, pentagon, perpendicular lines, plane shape, point, polygon, quadrilateral, ray, rectangle, rhombus, twodimensional shape, side, square, trapezoid, angle, vertex, Venn diagram, acute angle, obtuse angle, right angle, straight angle, equilateral isosceles scalene right obtuse acute diagonal, pattern unit, repeating pattern, growing pattern, congruent, symmetry, line of symmetry FCAT Testing Window - April 22 to April 30 * pairing based on content similarities

Measurement and Data MD.1.2 Liquid Volume and Mass May 1 - May 6 Solve problems involving measurement and estimation. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. estimate and measure liquid volume in liters. estimate and measure mass in grams and kilograms. add, subtract, multiply, or divide to solve problems involving liquid volumes or masses. To fully Math! address Lessons the content, both & lessons from each row should be 10.7 10.8 10.9 * pairing based on content similarities liquid volume, liter (L), gram (g), kilogram (kg), mass

Geometry G.1.2 MD.4.8 MD.3.7d MD.3.7c MD.3.7b Measurement and Data MD.3.7a Perimeter and Area May 7 - May 20 MD.3.7 MD.3.6 MD.3.5b MD.3.5a MD.3.5 Geometric measurement: understand concepts of area and relate area to multiplication and to addition. Recognize area as an attribute of plane figures and understand concepts of area measurement. A square with side length 1 unit, called a unit square, is said to have one square unit of area, and can be used to measure area. The student will; explore perimeter and area as attributes of polygons. estimate and measure area of plane shapes by counting unit squares. relate area to addition and multiplication by using area models. solve are problems by using the strategy find a pattern. apply the Distributive Property to area models and to find the area of combined rectangles. compare areas of rectangles that have the same perimeter. compare perimeters of rectangles that have the same area. partition shapes into parts with equal areas and express the area as a unit fraction of the whole. 11.4 11.5 11.6 11.7 11.8 11.9 11.10 12.9 area, square unit (sq un), unit square, repeated addition A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). Relate area to the operations of multiplication and addition. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a b and a c. Use area models to represent the distributive property in mathematical reasoning. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. Geometric measurement: recognize perimeter Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding Reason with shapes and their attributes Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. May 21: End of the Year Test May 22- June 4: Getting Ready Lessons June 5: End of Third Trimester * pairing based on content similarities