Curriculum Topic Study CURRICULUM TOPIC STUDY

A Systematic Approach to Utilizing National Standards and Cognitive Research


Curriculum Topic Study
Mathematics CTS Guide List


NUMBERS AND OPERATIONS
Addition and Subtraction 111
Addition and Subtractionof Whole Numbers 112
Combinations and Permutations 113
Comparing andOrdering Numbers 114
Computation and Operations 115
Counting 116
Decimals 117
Exponents 118
Factors and Multiples (Elementary Number Theory) 119
Facts 120
Fractions 121
Fractions, Decimals, and Percents 122
Integers 123
Large and Small Numbers 124
Multiplication and Division 125
Multiplication and Division of Whole Numbers 126
Number Sense 127
Numbers and Number Systems 128
Percent 129
Place Value 130
Properties of Operations 131
Ratio and Proportion 132
Rational Numbers 133
 

ALGEBRA
Algebraic Modeling 135
Expressions and Equations 136
Formulas 137
Functions 138
Linear Relationships 139
Nonlinear Relationships 140
Numeric Patterns 141
Patterns, Relations, and Functions 142
Quadratics 143
Rates of Change 144
Symbolic Representation 145
Variables 146

GEOMETRY
Three-Dimensional Geometry 148
Two-Dimensional Geometry 149
Two- and Three-Dimensional Geometry 150
Circles 151
Congruence and Similarity 152
Coordinate Geometry 153
Geometric Modeling 154
Geometric Patterns 155
Geometric Proof 156
Geometric Relationships 157
Geometric Shapes 158
Geometric Theorems 159
Networks 160
Quadrilaterals 161
Sorting and Classifying 162
Spatial Visualization 163
Transformations and Symmetry 164
Triangles 165
Trigonometry 166

MEASUREMENT
Angle Measurement 168
Area 169
Customary Measurement 170
Length 171
Measurement Systems 172
Measurement Tools 173
Metric System 174
Perimeter, Area, and Volume 175
Time, Temperature, Weight, and Capacity 176
Volume 177

DATA ANALYSIS
Line Graphs, Bar Graphs, and Histograms 179
Line Plots, Stem and Leaf Plots, Box Plots, and Histograms 180
Measures of Center and Spread 181
Probability 182
Sampling 183
Scatterplots and Correlation 184
Simulation 185
Statistical Reasoning 186
Summarizing Data 187

INTEGRATED TOPICS
Connections 189
Connections Outside 190
Connections Within 191
Constancy and Change 192
Discrete Mathematics 193
Equivalence 194
Estimation 195
Graphic Representation 196
Matrices and Vectors 197
Proportionality 198

PROBLEM SOLVING AND PROCESSES
Communication in Mathematics 200
Conjecture, Proof, and Justification 201
Creating Representations 202
Modeling 203
Problem Solving 204
Reasoning 205
Representations 206
Technology 207
Vocabulary 208

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Maine Mathematics and Science Alliance
Nastional Science Foundation Curriculum Topic Study is supported with funding from the National Science Foundation Teacher Professional Continuum (tpc) Program Award #0353315. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
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