Number, Operations, and Algebraic Reasoning
Math foundation questions test place value, whole numbers, fractions, decimals, ratios, operations, properties, patterns, expressions, and equations.
How to study for TExES Core Subjects EC-6
Use the five official 391 subject exams as your map: learn the disciplinary content, analyze student thinking and evidence, then practice the separate timed blocks.
Core concepts
Concept 1
Number sense links base-ten place value, magnitude, factors, multiples, fractions, decimals, integers, ratios, percents, and estimation.
Exam cue: Align units and place values before computing or comparing.
Concept 2
Algebraic reasoning generalizes patterns and relationships with expressions, equations, inequalities, tables, graphs, and verbal rules.
Exam cue: Translate relational language carefully: identify the quantity being multiplied, changed, or constrained.
Concept 3
Effective instruction connects concrete and visual models to efficient symbolic methods while using error analysis to reveal misconceptions.
Exam cue: Check solutions with estimation, inverse operations, substitution, units, and context.
Risk pitfalls and guardrails
Applying whole-number rules to fractions or decimals without attending to unit size.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Treating the equal sign as an instruction to calculate rather than a relation of equivalence.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Teaching a compressed algorithm before students can connect its steps to place value or a model.
Guardrail: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.
Memory anchors
Place Value
Place value describes the value of a digit based on its position in a number.
Operation Meaning
Operations should be connected to models, situations, properties, and strategies.
Fraction Concept
Fractions represent part-whole, measurement, quotient, ratio, and operator meanings.
Decimal
Decimals extend the base-ten place-value system to parts less than one.
Integer
Integers can be modeled with number lines, opposites, and real-world contexts.
Algebraic Pattern
Patterns support generalization, functions, expressions, and equations.
Equation
An equation states equality and can be solved by maintaining balance.
Math Representation
Representations include concrete models, drawings, tables, graphs, symbols, and words.
Ratio and Rate
A ratio compares quantities multiplicatively; a unit rate states the comparison per one unit.
Reasonableness Check
Estimate magnitude and use an inverse relationship or substitution before accepting a calculation.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
A student says that the 7 in 47,352 has ten times the value of the 7 in 74,106. Which response is correct?
Which comparison is true?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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