123 – MATH, COMMON CORE

AND TECHNOLOGY

Melinda Oyler

Technology Coordinator

England School District

MATH AND COMMON CORE IN ARKANSAS Common Core Standards –

http://corestandards.org Adoption

K-2 – 2011-20123-8 – 2012-20139-12 – 2013-2014Online Testing – 2014-2015

Information can be found on the Arkansas Department of Education website – http://ccssarkansas.pbworks.com/w/page/32131061/CCSS-Arkansas

COMMON COREMATHEMATICAL PRACTICES1. Make sense of problems and persevere insolving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critiquethe reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeatedreasoning.

IPAD RESOURCESCommon Core Standard Matched Arkansas Standard Resource/Material

Geometry 1.GReason with shapes and their attributes. 3. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

AR.1.NO.1.12 (NO.1.1.12) Rational Numbers: Represent commonly used fractions using words and physical models for halves, thirds and fourths AR.2.NO.1.9 (NO.1.2.9) Rational Numbers: Represent fractions (halves, thirds, fourths, sixths and eighths) using words, numerals, and physical models AR.2.G.11.2 (G.11.2.2) Spatial Visualization and Models: Create new figures by combining and subdividing models of existing figures AR.3.G.11.2 (G.11.3.2) Spatial Visualization and Models: Determine which new figure will be formed by combining and subdividing models of existing figures AR.K.NO.1.11 (NO.1.K.11) Rational Numbers: Use physical models and drawings to represent commonly used fractions such as halves, thirds and fourths in relation to the whole AR.2.NO.1.10 (NO.1.2.10) Rational Numbers: Utilize models to recognize that a fractional part can mean different amounts depending on the original quantity AR.2.NO.1.10 (NO.1.2.10) Rational Numbers: Utilize models to recognize that a fractional part can mean different amounts depending on the original quantity Ipad - Virtual Manipulatives

Common Core Standard Matched Arkansas Standard Resource/Material

Operations and Algebraic Thinking 3.OARepresent and solve problems involving multiplication and division.1. Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.

AR.3.NO.2.1 (NO.2.3.1) Number Theory: Develop an understanding of the commutative and identity properties of multiplication using objectsAR.3.NO.2.2 (NO.2.3.2) Number Theory: Apply number theory: determine if a three-digit number is even or odd, use the terms multiple, factor, product and quotient in an appropriate contextAR.3.NO.2.3 (NO.2.3.3) Whole Number Operations: Use conventional mathematical symbols to write equations for contextual problems involving multiplication

Ipad - Khan Academy

Geometry 8.GUnderstand and apply the Pythagorean Theorem.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

AR.9-12.T.G.2.4 (T.2.G.4) Apply the Pythagorean Theorem and its converse in solving practical problems

Ipad - Graphing Calculator

IPAD RESOURCES

Common Core Standard Matched Arkansas Standard Resource/Material

Geometry K.GIdentify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1. Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.

AR.1.G.10.1 (G.10.1.1) Coordinate Geometry: Extend the use of location words to include distance (near, far, close to) and direction (left and right).AR.K.A.4.3 AR.1.A.4.2 (A.4.1.2) (A.4.K.3) Recognize, describe and develop patterns: Identify and describe patterns in the environment.

Smart Board - Geometric Shapes

Operations and Algebraic Thinking 2.OA Represent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

AR.2.NO.3.4 (NO.3.2.4) Application of Computation: Solve problems using a variety of methods and tools (e.g., objects, mental computation, paper and pencil, and with and without appropriate technology). AR.2.NO.2.5 (NO.2.2.5) Whole Number Operations: Demonstrate various meaning of addition and subtraction. AR.2.NO.3.1 (NO.3.2.1) Computational Fluency-Addition and Subtraction: Develop strategies for basic addition facts:-- counting all, counting on, one more, two more, doubles, doubles plus one or minus one, make ten, using ten frames, Property (add zero). AR.2.NO.2.7 (NO.2.2.7) Whole Number Operations: Model, represent and explain division as sharing equally and repeated subtraction in contextual situations. Smart Board - Animal Addition

SMART BOARD RESOURCES

Common Core Standard Matched Arkansas Standard Resource/Material

Number and Operations—Fractions 5.NFUse equivalent fractions as a strategy to add and subtract fractions.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

AR.5.NO.2.5 (NO.2.5.5) Understand Operations: Model addition, subtraction, and multiplication of fractions with like and unlike denominators and decimals

Smart Board - Adding and Subtracting Fractions

Grade 6 - Mathematical Practices1. Make sense of problems and persevere in solving them.

Smart Board - Stem and Leaf Plots

SMART BOARD RESOURCES

Common Core Standard Matched Arkansas Standard Resource/Material

Geometry 4.GDraw and identify lines and angles, and classify shapes by properties of their lines and angles.3. Recognize a line of symmetry for a two-dimensional 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.

AR.2.G.9.1 (G.9.2.1) Symmetry and Transformations: Use lines of symmetry to demonstrate and describe congruent figures within a two-dimensional figureAR.3.G.9.1 (G.9.3.1) Symmetry and Transformations: Draw one or more lines of symmetry in a polygonAR.6.G.9.1 (G.9.6.1) Symmetry and Transformations: Identify and describe line and rotational symmetry in two-dimensional shapes, patterns and designs

BrainpopGeometry 7.GSolve real-life and mathematical problems involving angle measure, area, surface area, and volume.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

AR.7.G.8.5 (G.8.7.5) Characteristics of Geometric Shapes: Model and develop the concept that pi (π) is the ratio of the circumference to the diameter of any circle

PBS Teachers - Math

INTERNET RESOURCES

ENGLAND SCHOOL DISTRICT

WIKISPACEhttp://england-school-district.wikispaces.com