Download 0005 Mathematical Computation and Conceptual Skills (Standards

CORE Elementary Education Generalist 061
Practice (Mathematics)
Domain IV – Mathematical Computation and Conceptual Skills
0005 Mathematical Computation and Conceptual Skills (Standards 4.1 – 4.8)
Standard 4: Mathematics
Elementary teachers have fundamental computation skills and a broad and comprehensive
understanding of fundamental concepts and processes of mathematics and demonstrate the
ability to provide content-specific instruction in mathematics, including:
4.1 Number Sense
4.2 Basic Mathematical Operations
Number Theory
Writing Equations of Word Problems
Writing & Interpreting Decimals
Order of Operations
Regrouping Whole Numbers
Properties of Exponents
Rewriting Fractions as Decimals
Basic Algebraic Operations
4.3 Algebra
4.4 Measurement Systems
Writing Algebraic Expressions
Measuring Lengths with Different Units
Evaluating Functions,
Measuring Angles
Independent and Dependent Variables
Converting Units (Metrics)
Graphing Inequalities
Measurement Conversions
Algebraic Functions
Units
Linear & Nonlinear Functions
Interpreting Graphs of Linear & Nonlinear
Functions
Transforming Functions
Shifting Functions
Reflection of a Graph
Variables & Algebraic Expressions
Writing Proportions
CORE Elementary Education Generalist 061
Practice (Mathematics)
4.5 Geometry
4.6 Statistics
Solving Similar Triangles
Simple Data Sets
Symmetry of Two Dimensional Shapes
Intro to Statistics Quiz
Reflecting Points on a Coordinate Plane
Determining Statistical Questions
Naming Angles
Intro to Graphic Displays Quiz
Measuring Angles
Creating Frequency Tables
Drawing Angles
Creating Dot Plots
Complementary & Supplementary Angles
Calculating the Mean
Equations of Parallel & Perpendicular Lines
Calculating Mean From Data Displays
Recognizing Rays, Lines, & Line Segments
Calculating the Median
Points, Lines, & Planes
Calculating Median From Data Displays
Drawing Polygons
Reading Box Plots
Quadrilaterals
Comparing Data Displays
Area of a Trapezoid
Perimeter, Area, & Volume
Classifying Shapes
4.7 Ratios & Probability Thinking
Ratios & Proportions
Ratio Word Problems
Ratio Tables
Probability of Rolling Dice
Simple Probability
Adding Probabilities
CORE Elementary Education Generalist 061
Practice (Mathematics)
Domain V – Mathematics Literacy and Instruction
0006 Mathematics Literacy and Instruction (Standards 4.8 – 4.11)
Standards
Standard 4: Mathematics
Elementary teachers have fundamental computation skills and a broad and comprehensive
understanding of fundamental concepts and processes of mathematics and demonstrate the
ability to provide content-specific instruction in mathematics, including:
4.8
Processes and skills related to reasoning and proof, representing mathematical
information, using mathematical language to communicate relationships and concepts,
adaptive reasoning, strategic competence, procedural fluency, and productive disposition
4.9 The Indiana Academic Standards and Core Standards for Mathematics, the Common Core
State Standards for Mathematics, and the ability to apply and utilize state and national
standards and resources in mathematics
Kindergarten Math Standards
First Grade Math Standards
Second Grade Math Standards
Third Grade Math Standards
Fourth Grade Math Standards
Fifth Grade Math Standards
Sixth Grade Math Standards
4.10 Methods for planning and delivering evidence-based mathematics instruction that
fosters students’ understanding and mastery of concepts and skills related to
mathematics and the development of critical- and creative-thinking, reasoning, problemsolving, and performance skills
4.11 Strategies and skills for effectively assessing students’ understanding and mastery of
essential mathematics concepts and skills, using ongoing assessment to monitor progress
and inform instruction, and applying Response to Instruction (RtI) procedures