Math Calculation & Problem Solving/Reasoning



Math Calculation & Problem Solving/ReasoningTest: AIMSWeb Curriculum-Based MeasuresAdministered by:Date:Curriculum based measures are obtained in reading, written language and mathematics to assess development of fluency and automaticity (how fast a student can perform) in these basic skill areas. The speed with which one can perform basic skills (read, write, and calculate math problems) increases gradually as skill proficiency develops. The goal in basic skills is to attain automaticity, which is the ability to perform the basic skill quickly without errors and in the presence of distracters (without concentrating) or while doing these tasks. Automaticity comes after accuracy and after becoming fluent, and only with considerable practice. MATH CALCULATION: The AIMSWeb Mathematics Computation (M–COMP) monitors students’ progress on fundamental computation skills, including single-digit addition through addition, subtraction, multiplication, and division of decimals and fractions. Mathematics domains assessed include counting, number concepts, number naming, measurement, money, grid reading, charts and graphs, fractions, decimals, applied computation, and word problems.DateCorrect Point TotalGrade Level Aggregate Norm Percentile INTERPRETATION:Strengths:Needs:(SAMPLE)DateCorrect Point TotalGrade Level Aggregate Norm Percentile12-04-18166th>25th %tile12-10-18156th>25th %tile12-12-18117th>10th %tile12-13-18117th>10th %tile INTERPRETATION: Aggregate norm shows that XXXX scores at the “low average” range in math calculation.Strengths: basic 1 & 2-step +, -, x, /, 1-step algebraic equations, conversion of decimals to fractions, adding & subtracting fractions with like denominators, multiplying fractions Needs: operations involving adding & subtracting +/- integers, 2-step algebraic equations, conversion of improper fractions to mixed number, dividing fractions, percent of a number, exponentsMATH PROBLEM SOLVING [M-CAP] The AIMSweb Mathematics Concepts and Applications (M–CAP) assesses the general mathematics problem-solving skills expected in grades 2–8. The mathematics domains assessed include number sense, operations, patterns, and relationships, data and probability, measurement, data and statistics, geometry, and algebra.DateCorrect Point TotalGrade Level Aggregate Norm PercentileINTERPRETATION: (SAMPLE)DateCorrect Point TotalGrade Level Aggregate Norm Percentile12-04-1886th>25th %tile12-10-1886th>25th %tile12-12-1857th>10th %tile12-13-1847th>10th %tile INTERPRETATION: Aggregate norm shows that XXXX scores at the “low average” range in range in math problem-solving.Mathematical M-CAP mastered skills – subtraction & addition of large #’s from graph interpretationMathematical M-CAP errors – sequencing, ordering decimals, blueprint conversions, Pythagorean Theorem, order of operations, scientific notation, geometry, multiplication using graph interpretationTest: Math Fluency CBM MeasureAdministered by:Date:Possible sources: Easy CBM Lite (free version): Logic is for addition probes but you can select many optionsStudent’s math fluency of facts was assessed using two--minute probes which are not grade-leveled. Addition / Subtraction and Multiplication / Division probes scored on correct digits: DateProbeCorrect digitsAccuracy %INTERPRETATION:Strengths:Needs:(SAMPLE)DateProbeCorrect digitsAccuracy %12-17-2018+ / - 4489%12-17-2018+ / -4292% 12-17-2018+ / -4192% 12-17-2018x / ÷3179%12-17-2018x / ÷3183% 12-17-2018x / ÷3085% INTERPRETATION:Strengths:Needs:Test: BRIGANCE Comprehensive Inventory of Basic SkillsExaminer: Date of Information: MATHEMATICS PLACEMENT TESTThe purpose of the grade placement test is to provide a means of making quick grade-placement estimate of a student’s skills in mathematics. A test score of 80% is desired. On the Kindergarten math placement test, XXXX received a score of XX% accuracy. On the 1st grade math placement, XXXX received a score of XX% and on the 2nd grade math placement XXXX received a score of XX%. (Describe any observations made during test)INTERPRETATION: Strengths:Needs:(SAMPLE)Strengths:Identifying plane figures ( circle, triangle, square, rectangle) 100%Understand place value concepts 100%Adds and subtracts single digit numbers with 83% accuracy Extends number patterns 100%Compares whole numbers 100%Needs: Add and subtract up to two-digit whole numbers 66%Label units in measurementMeasure to the nearest inchDivide subfigures Test: Carnegie Math – Cognitive Tutor MATHiaCompiled by:Date:MATHia and Cognitive Tutor software for students in grades 6-12 represents an innovative application of technology, artificial intelligence, and cognitive science that identifies strengths and weaknesses in individual student’s mastery of mathematical concepts in order to personalize learning for each student.(Insert list of units/lessons completed including progress on current unit)Strengths:Needs:Test: IXL LearningCompiled by:Date:IXL is an online curriculum which provides more than 7,000 skills across math and English language arts for students in grades preK-12. Skills and practice questions are aligned with Common Core and state standards, tracking classroom-wide as well as individual student performance.XXXX has completed these lessons at <80% accuracy:MATH:(Insert sub-content areas and lesson names)(SAMPLE)MATH:Operations with integers C.1 Integer addition and subtraction rules C.2 Add and subtract integers using counters C.3 Add and subtract integers Consumer mathM.6 Percent of a number: tax, discount, and more M.7 Find the percent: tax, discount, and more M.8 Sale prices: find the original price M.11 Simple interest Geometric measurementAA.5 Circles: calculate area, circumference, radius, and diameter ................
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