Ordered List of Skills for Math Curriculum
Topics have been Reorganized by Mrs. Ferrell to Better Coincide with TCAP Test
[NOTE: Some topics have been relocated to the end of the year for 4th Grade preparation.]

TOPIC 1: Numeration [9 concepts]
• Place Value to Hundreds, Word Form, Expanded Form
• Place Value to Thousands, Word Form, Expanded Form
• Place Value to Millions
• Ordinal Numbers & Renaming Numbers (Ex: 1,200=12 hundred)
• Comparing Numbers (inequalities)
• Ordering 3+ numbers
• Counting Money
• Making Change
• Prob. Solv: Organized Lists

TOPIC 2: Adding Whole Numbers [10 concepts]
• Properties of Addition (commutative, identity, associative)
• Adding on Hundreds Chart
• Using Mental Math to Add
• Rounding to Tens & Hundreds
• Estimating Sums
• Adding with Regrouping (2-digit numbers)
• Models for Adding 3-digit numbers
• Adding with Regrouping (3-digit numbers)
• Adding 3 or more Multi-Digit Numbers
• Prob. Solving: Draw a Picture

TOPIC 3: Subtraction Number Sense [5 concepts]
• Subtraction Stories (take away & comparisons)
• Subtracting on a Hundreds Chart
• Using Mental Math to Subtract
• Estimating Differences
• Prob. Solving: Reasonableness

TOPIC 4: Subtracting Whole Numbers to Solve Problems [6 concepts]
• Models for Subtracting (2-digit)
• Subtraction with Borrowing (2-digit)
• Models for Subtracting (3-digit)
• Subtraction with Borrowing (3-digit)
• Subtracting Across Zero (regrouping)
• Prob. Solving: Draw a Picture & Write a Number Sentence

TOPIC 5: Multiplication Meanings and Facts (Part #1) [5 concepts]
• Multiplication as Repeated Addition
• Arrays and multiplication (rows & columns)
• Multiplication to Compare
• Writing Multiplication Stories
• Prob. Solving: Writing to Explain

TOPIC 7: Division Meanings (Part #1) [4 concepts]
• Division as Sharing
• Division as Repeated Subtraction
• Writing Division Stories
• Prob. Solving: Use Objects & Draw Pictures

TOPIC 9: Nouns: Patterns and Relationships [8 concepts]
• Repeating Patterns
• Number Sequences
• Extending Tables
• Writing Rules for Situations
• Translating Words to Expressions
• Geometric Patterns
• Equations and Inequalities
• Prob. Solving: Act it out & Reasoning

TOPIC 10: Solids & Shapes [6 concepts]
• Solids and Figures (3-d)
• Attributes of Solids
• Lines and Line Segments
• Angles
• Polygons (2-d)
• Triangles
• Quadrilaterals
• Prob. Solving: Make & Test Generalizations

TOPIC 11: Congruence & Symmetry [4 concepts]
• Congruent Figures and Translations
• Line Symmetry
• Drawing Shapes with Lines of Symmetry
• Prob. Solving: Using Objects

TOPIC 12: Understanding Fractions [10 concepts]
• Dividing Regions into Equal Parts
• Numerator & Denominator
• Fractions of Sets
• Benchmark Fractions (common)
• Equivalent Fractions
• Compare Fractions with Models
• Fractions on Number Line
• Using Models to Add Fractions
• Using Models to Subtract Fractions
• Prob. Solving: Make a Table & Look for a Pattern

TOPIC 13: Decimals and Money [5 concepts]
• Fractions & Decimals
• Using Money to Understand Decimals
• Adding and Subtracting Money
• Prob. Solving: Draw a Picture & Write a Number Sentence
• Prob. Solving: Missing or Extra Information

TOPIC 14: Customary Measurement [6 concepts]
• Understanding Measurements (lengths, inches, & units)
• Fractions of an Inch
• Inches, Feet, Yards, Miles
• Customary Units of Capacity (e.g. cups, pints, quarts, gallons)
• Customary Units of Weight (e.g. ounces, pounds, tons)
• Prob. Solving: Act it out & Use Reasoning

TOPIC 15: Metric Measurement [5 concepts]
• Using Centimeters & Decimeters
• Using Meters & Kilometers
• Capacity (liters & milliliters)
• Mass (grams & kilograms)
• Prob. Solving: Make a Table & Look for a Pattern

TOPIC 16: Perimeter, Area, & Volume (part #1) [4 concepts]
• Understanding Perimeter
• Perimeter of Common Shapes
• Different shapes Same Perimeter
• Prob. Solve: Try Check & Revise

TOPIC 17: Time & Temperature [6 concepts]
• Time to Half & Quarter Hour
• Time to Minute
• Units of Time
• Elapsed Time
• Temperature
• Prob. Solving: Working Backwards

TOPIC 20: Data, Graphs, & Probability [9 concepts]
• Organizing Data
• Reading Pictographs & Bar Graphs
• Making Pictographs
• Making Bar Graphs
• Ordered Pairs & Line Graphs
• How Likely? (probability)
• Outcomes & Experiments
• Line Plots & Probability
• Prob. Solving: Using Tables & Graphs to Draw Conclusions

TOPIC 5: Multiplication Meanings & Facts (Part #2) [5 concepts]
• 2 & 5 as Factors
• 10 as a Factor
• 9 as Factor
• Multiplying with 0 & 1
• Prob. Solving: Two Question Problem

TOPIC 6: Multiplication Fact Strategies: Use Known Facts [7 concepts]
• 3 as Factor
• 4 as Factor
• 6 & 7 as Factors
• 8 as Factor
• 11 & 12 as Factors
• Multiplying with 3 Factors
• Problem Solving: Multiple Step Problem

TOPIC 8: Division Facts [6 concepts]
• Relating Multiplication & Division
• Fact Families: 2,3,4,5
• Fact Families: 6 & 7
• Fact Families: 8 & 9
• Division using 0 & 1 as Dividends
• Prob. Solving: Draw a Picture & Write a Number Sentence

TCAP REVIEW (2 1/2 Weeks) & TCAP TESTING


4TH GRADE PREPARATION:

TOPIC 7: Part #2 [1 concept]
• Understanding Remainders

TOPIC 16: Perimeter, Area, & Volume (part #2) [4 concepts]
• Understanding Area
• Estimating & Measuring Area
• Volume
• Prob. Solve: Solve a Simpler Problem

TOPIC 18: Multiplying Greater Numbers [6 concepts]
• Using Mental Math to Multiply
• Estimating Products
• Multiplication and Arrays
• Breaking Apart to Multiply
• Using an Expanded Algorithm
• Multiplying 2 & 3 Digit Numbers by 1 Digit Numbers

TOPIC 19: Dividing with 1 Digit Numbers [5 concepts]
• Estimating Quotients
• Connecting Models & Symbols
• Dividing 2-Digit numbers
• Dividing with Remainders
• Prob. Solving: Multiple Step Problems