Mathematics Assessment

Update

FCTM Board Meeting May 2013

Terri Sebring

• Grade 6 CBT and ePat • FCAT Mathematics Retake • Future EOC Assessment Dates • Algebra 1 EOC and Geometry EOC item review • Geometry EOC approved calculators • Resources • Making use of sample items • Contact Information

Presentation Topics

FCAT 2.0 Mathematics Grade 6 will transition to a computer-based test in the 2013-2014 school year. District Test Administrators will be notified when the ePat is on Pearson Access.

FCAT Mathematics Retake There will be no more administrations of the FCAT Mathematics Retake. Please refer to your district testing administrator for concordant scores.

Future EOC Assessment Dates

• Summer Administration – July 22 – August 9

• Fall Administration – September 16 – September 27

• Winter Administration – December 2 – December 20

Fall Algebra 1 EOC and Geometry EOC Item Review

FAMS & FCTM October 14 – October 19 Algebra 1 EOC Item Review October 21 – October 25 Algebra 1 EOC and Geometry EOC Item Review October 28 – November 1 Geometry EOC Item Review November 4 – November 8

All the things you want to know about FCAT 2.0, EOC assessments, computer-based testing, transition plans, sample test materials, EOC practice tests, etc. can likely be found by using the links on the left side of the Bureau of K-12 Assessment webpage at:

http://fcat.fldoe.org/

FDOE Website

• Content Focus Reports – http://fcat.fldoe.org/fcat2/contentfocus20.asp – http://fcat.fldoe.org/eoc/contentfocus-eoc.asp

• 2012-2013 FCAT 2.0 Fact Sheets • Understanding FCAT 2.0 Reports • Test Design Summary

– http://fcat.fldoe.org/fcat2/

• 2012-2013 EOC Assessment Fact Sheets • Understanding Florida EOC Assessment Scores • Test Design Summary

– http://fcat.fldoe.org/eoc/

Resources

• Assessment Schedules

– http://www.fldoe.org/asp/schedule.asp

• Sample Test Materials, ePATs, and tutorials

– http://fcat.fldoe.org/fcat2/fcatitem.asp

– http://www.flassessments.com/ePATs

Resources

The Test Development Center maintains a SharePoint website for sharing presentations and other resources. This presentation will be available on TDC’s SharePoint website at:

http://sharepoint.leon.k12.fl.us/tdc/external

TDC Website

Making use of sample items.

MA.3.G.5.1 Select appropriate units, strategies, and tools to solve problems involving perimeter.

MACC.3.MD.4.8 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.

NGSSS

CCSS

THIRD GRADE

MA.4.A.1.2 Multiply multi-digit whole numbers through four digits fluently, demonstrating understanding of the standard algorithm and checking for reasonableness of results, including solving real-world problems. Also assesses MA.4.A.1.1 Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease.

MACC.4.OA,1.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

NGSSS

CCSS

FOURTH GRADE

MA.5.G.5.2 Compare, contrast, and convert units of measure within the same dimension (length, mass, or time) to solve problems.

MACC.5.MD.1.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

NGSSS

CCSS

FIFTH GRADE

MA.6.G.4.2 Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies.

MACC.6.G.1.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

NGSSS

CCSS

SIXTH GRADE

MA.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MACC.7.G.2.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

NGSSS

CCSS

SEVENTH GRADE

MACC.8.EE.3.8 Analyze and solve pairs of simultaneous linear equations. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

MA.8.A.1.3 Use tables, graphs, and models to represent, analyze, and solve real-world problems related to systems of linear equations. Also assesses MA.8.A.1.4 Identify the solution to a system of linear equations using graphs.

NGSSS

CCSS

EIGHTH GRADE

MA.912.A.3.5 Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.

MACC.912.A-CED.1.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

NGSSS

CCSS

ALGEBRA 1

MACC.912.A-CED.1.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

MA.912.A.3.8 Graph a line given any of the following information: a table of values, the x-and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form. Also assesses MA.912.A.3.12 Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.

NGSSS

CCSS

ALGEBRA 1

MACC.912.A-CED.1.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R

MA.912.A.3.3 Solve literal equations for a specified variable.

NGSSS

ALGEBRA 1

CCSS

MACC.912.A-CED.1.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

MA.912.A.3.14 Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods. Also assesses MA.912.A.3.13 Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology. Also assesses MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two and three variables.

MACC.912.A-REI.3.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

NGSSS

ALGEBRA 1

CCSS

MACC.912.S-ID.3.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

MA.912.A.3.11 Write an equation of a line that models a data set, and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.

NGSSS

CCSS

ALGEBRA 1

MA.912.G.3.4 Prove theorems involving quadrilaterals. Also assesses MA.912.D.6.4 Use methods of direct and indirect proof and determine whether a short proof is logically valid. Also assesses MA.912.G.3.1 Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite. Also assesses MA.912.G.3.2 Compare and contrast special quadrilaterals on the basis of their properties. Also assesses MA.912.G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.

MACC.912.G-CO.3.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

CCSS

GEOMETRY NGSSS

MACC.912.G-SRT.3.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

MA.912.T.2.1 Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) in terms of angles of right triangles.

MA.912.G.5.4 Solve real-world problems involving right triangles. Also assesses MA.912.G.5.1 Prove and apply the Pythagorean Theorem and its converse. Also assesses MA.912.G.5.2 State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. Also assesses MA.912.G.5.3 Use special right triangles (30–60–90¡ and 45–45–90) to solve problems.

GEOMETRY

NGSSS

CCSS

MACC.912.G-C.1.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

MA.912.G.6.5 Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors. Also assesses MA.912.G.6.2 Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent, and concentric circles. Also assesses MA.912.G.6.4 Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents). Also assesses MA.912.G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.

NGSSS

GEOMETRY

CCSS

MACC.5.NF.2.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem

MA.6.A.1.1 Explain and justify procedures for multiplying and dividing fractions and decimals.

NGSSS

CCSS

6TH TO 5TH GRADE

MACC.912.G-GPE.2.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).

MA.912.G.3.3 Use coordinate geometry to prove properties of congruent, regular, and similar quadrilaterals. Also assesses MA.912.G.8.5 Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.

MACC.912.G-GPE.2.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

MA.912.G.1.1 Find the lengths and midpoints of line segments in two-dimensional coordinate systems.

NGSSS

CCSS

MACC.912.G-GPE.2.4

Using coordinate geometry, show that quadrilateral ABCD is an isosceles trapezoid.

TAKING AN ITEM AND FITTING IT TO CCSS

What is the perimeter of quadrilateral ABCD?

MACC.912.G-GPE.2.7

What is the area of quadrilateral ABCD?

TAKING AN ITEM AND FITTING IT TO CCSS

Contact Information

• Travis Barton, Mathematics Content Specialist – Grades 3-5 and Algebra 1

– bartont@leonschools.net

– (850) 922-2584 Ext. 242

• Terri Sebring, Mathematics Content Specialist – Grades 6-8 and Geometry

– sebringt@leonschools.net

– (850) 922-2584 Ext. 226

TDC Mathematics Team Contact Information

Christopher Harvey

Mathematics & Science Coordinator

harveyc@leonschools.net

(850) 922-2584 Ext. 234

Contact Information

• Renn Edenfield, English Language Arts Coordinator – edenfieldr@leonschools.net

– (850) 922–2584 Ext. 230

• Randy Felton, Social Studies Coordinator – feltonr@leonschools.net

– (850) 922–2584 Ext. 238

Other TDC Contact Information

(850) 922–2584

Ext. 225

ashs@leonschools.net

Steve Ash Executive Director

Test Development Center

Questions?