| Mathematics
The California Achievement Test, Version 5 (CAT/5) Mathematics tests include both computational skills and critical-thinking skills.
The Mathematics Computation section of the CAT/5 includes computation with whole numbers, decimals, fractions, integers, percents, order of operations, and algebraic expressions.
The Mathematics Concepts and Applications section of the CAT/5 emphasizes problem-solving and critical-thinking skills. Objectives include estimation, pattern recognition, number sequences, functions, and shapes.
The HSEE field test in mathematics addresses the standards adopted by the California State Board of Education through Algebra I. The mathematics test will include statistics, data analysis and probability, number sense, measurement and geometry, mathematical reasoning, and algebra. Students also will be asked to demonstrate a strong foundation in arithmetic, including work with decimals, fractions, and percents. The math test will consist of all multiple-choice items.
The STAR blueprints provide standards for Mathematics assessment.
CA: Grade 4
Level 14 of the California Achievement Test, Version 5 (CAT/5) is geared toward fourth grade students.
At this level, the Mathematics Computation section of the CAT/5 contains adding, subtracting, multiplying, and dividing whole numbers, decimals, and fractions.
The Mathematics Concept and Applications section includes numeration, number theory, data interpretation, pre-algebra, measurement, and geometry.
The STAR provides skills that will be assessed at fourth grade.
Algebraic Concepts
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.
Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.
Decimals
The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. Students compare and compute decimals, study money, estimate decimals, problem solve using decimals, and reason using decimals.
Fractions
The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions.
Geometry
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.
Measurement
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.
Number Theory
The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.
Numeration
The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.
Probability/Statistics
The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).
Problem Solving
The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.
Rational and Irrational Numbers
The Rational and Irrational Numbers Unit includes Competencies/Objectives which focus on number concepts. Students manipulate, compare, and perform operations with rational and irrational numbers.
Real Numbers and the Coordinate Plane
The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.
Whole Numbers
The Whole Numbers Unit includes Competencies/Objectives which focus on whole number concepts. Students perform operations with whole numbers, use manipulatives to demonstrate whole number concepts, and solve problems with whole numbers in real world contexts.
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