# Math: Fraction Concepts

### Suggested Time Frame: 24 Instructional Days

##### Focus TEKS

Represent Fractions and Introduce Fraction Notation

• 3.3A represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, including strip diagrams and number lines; – S RC1
• 3.3B determine the corresponding fraction greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 given a specified point on a number line; S RC1
• 3.7A represent fractions of halves, fourths, and eighths as distances from zero on a number line; – S RC1
• 2.9D determine the length of an object to the nearest [whole, half, or fourth inch] marked unit using rulers, yardsticks, meter sticks, or measuring tapes

Unit Fractions

• 3.3D compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b; – S RC1
• 3.3C explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number; – S RC1
• 3.6E decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that equal shares of identical wholes need not have the same shape. – S RC3

Fraction Equivalence

• 3.3F represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines; – R RC1
• 3.3G explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model; – S RC1

Compare Fractions

• 3.3H compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models. – R RC1

Problem Solving

• 3.3E solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8; – S RC1
##### Numeracy TEKS

Building Fluency with Addition and Subtraction of 2- and 3-Digit Numbers (Suggested: 18 days)

• 3.4A solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction; – R RC2
• 3.4B round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems; – S RC2

Counting Patterns (Suggested: 4 days)

• RRISD 3.5 Skip count by whole numbers starting from 0 and other starting numbers and describe patterns observed while counting; [Skip count by tens within 1,200. Skip count by hundreds within 10,000.]
##### Spiral Review TEKS

Grade 2 Geometry and Measurement (Suggested: 12 days)

• Geometry
• 2.8A create two-dimensional shapes based on given attributes, including number of sides and vertices
• 2.8B classify and sort three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes as special rectangular prisms), and triangular prisms, based on attributes using formal geometric language
• 2.8C classify and sort polygons with 12 or fewer sides according to attributes, including identifying the number of sides and number of vertices
• 2.8D compose two-dimensional shapes and three-dimensional solids with given properties or attributes
• 2.8E decompose two-dimensional shapes such as cutting out a square from a rectangle, dividing a shape in half, or partitioning a rectangle into identical triangles and identify the resulting geometric parts
• Measure Length
• 2.9D determine the length of an object to the nearest marked unit using rulers, yardsticks, meter sticks, or measuring tapes
• Measure Area
• 2.9F use concrete models of square units to find the area of a rectangle by covering it with no gaps or overlaps, counting to find the total number of square units, and describing the measurement using a number and the unit

Representing and Solving Story Problems (All Four Operations) (Suggested: 10 days)

• Computation and Problem Solving
• 3.4A solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction; – R RC2
• 3.4B round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems; – S RC2
• 3.4K solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts. – R RC2
• 3.8B solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals. – S RC4
• Representing
• 3.5A represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations; – R RC2
• 3.5B represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations; – R RC2
• 3.5E represent real-world relationships using number pairs in a table and verbal descriptions. – R RC2

Counting Quantities (Suggested: 2 days, using both numeracy and spiral review time)

• RRISD 3.1 Organize and count a collection of objects and create a recording of how the objects were counted
• 3.1C  select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
• 3.1E  create and use representations to organize, record, and communicate mathematical ideas;
• Counting Coins and Bills (Make this the focus on 1 day of Counting Collections)
• 3.4C determine the value of a collection of coins and bills; – S RC4

Telling Time (Ongoing)

• 2.9G read and write time to the nearest one-minute increment using analog and digital clocks and distinguish between a.m. and p.m.