FTCE Elementary Mathematics Online Center
This FTCE Elementary Mathematics Online Center brings together practice, lessons, worksheets, flashcards and review tools. Choose the resource that matches the skill you want to work on next.
FTCE Elementary Mathematics Practice Center
Take a full 70-minute form under real conditions, then read the explanation under every question you missed. On this subtest the explanation matters more than the answer, because most wrong choices are things a reasonable teacher might actually do.
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FTCE Elementary Mathematics at a glance
This is the fourth subtest of Elementary Education K-6, and it catches people out. The mathematics itself stops around middle school, but a large part of the subtest is not about computing at all. It shows you a child’s work or a classroom moment and asks what the child understands, what should happen next, and where that thinking sits in a progression. Candidates who study only the content usually pass the content items and lose the teaching items.
| Subtest code | 060, Subtest 4 (Mathematics) |
|---|---|
| Part of | FTCE Elementary Education K-6, test code 060, along with Language Arts and Reading, Science, and Social Science. Each subtest is passed and retaken separately. |
| Number of questions | Approximately 35 multiple-choice questions |
| Answer options | Four per question |
| Time limit | 70 minutes |
| Resources provided | An on-screen four-function calculator and an on-screen Mathematics Reference Sheet. A hand-held calculator and a paper reference sheet are available on request. |
| Format | Computer-based. Items appear as direct questions, word problems, and items built on a number line, figure, graph, table, or a sample of student work. |
| Passing score | A scaled score of at least 200. |
Florida does not publish how many questions come from each competency on this subtest. Any percentage breakdown you find in a commercial guide is that publisher’s estimate. Treat all five competencies as fully testable.
The five competencies, in plain language
The official list runs to 29 skill statements across five competencies. Here is what each one actually asks you to do.
Competency 1: Student thinking and instructional practices
Can you read a child’s work and decide what to do next?
- Use professional vocabulary such as subitize, transitivity, iteration, and tiling to describe what a student did
- Tell problem structures apart, including put-together and take-apart, arrays and area, and unknowns in every position
- Judge whether an invented strategy or a standard algorithm is valid
- Read diagnostic, formative, and progress-monitoring data and differentiate from it
- Match a task to the cognitive complexity you intend
- Place a student on a learning progression and name the next step
- Separate the components of fluency: accuracy, automaticity, rate, and flexibility
Competency 2: Operations, algebraic thinking, and base ten
Can you work with patterns, expressions, and multidigit arithmetic the way children meet them?
- Extend patterns across tables, graphs, equations, and words
- Choose the expression, equation, or inequality that models a situation
- Apply properties of equality and operations when interpreting a solution
- Decide whether two expressions are equivalent
- Evaluate expressions with parentheses, brackets, and braces
- Solve multistep word problems with models, estimation, and reasonableness checks
- Use number theory: primes, composites, factors, multiples, parity, divisibility
- Use place-value strategies such as compensation for multidigit arithmetic
Competency 3: Fractions, ratios, and integers
Can you both compute with fractions and show why the procedure works?
- Compare fractions and integers, including integer exponents, and place them on a number line
- Add, subtract, multiply, and divide fractions, mixed numbers, decimals, and percents
- Represent a fraction problem with a linear, area, or set model and know which one fits
- Solve real-world ratio and proportion problems
Competency 4: Measurement, data analysis, and statistics
Can you choose a unit, read a display, and pick the right measure of center?
- Convert units within and between systems inside multistep problems
- Compute and interpret range, mean absolute deviation, mean, and median
- Read and interpret frequency tables and graphs
- Choose measurement units for estimates and measurements
- Judge which measure of center and spread suits the shape of the data and the context
- Solve problems with distance, time, liquid volume, mass, and money
Competency 5: Geometric concepts
Can you reason about figures by their properties rather than their look?
- Solve perimeter, area, surface area, and volume problems
- Locate ordered pairs in all four quadrants
- Describe three-dimensional shapes using faces, edges, vertices, and volume
- Classify two-dimensional figures in a hierarchy based on properties
A study routine that fits 70 minutes of testing
Two minutes per question sounds comfortable until you meet an item that shows a page of a child’s subtraction and asks what to teach tomorrow. Those items reward preparation you cannot fake on the day.
Complete lesson map
Forty-seven lessons covering the mathematics this subtest expects you to know cold. Each one opens in a new tab so you can keep this page open while you work.
Counting, place value, and operations
Fractions and decimals
Ratios, proportion, and percent
Algebraic thinking and patterns
The coordinate plane
Measurement and geometry
Data, statistics, and probability
Before test day
Most candidates who fail this subtest are not weak at arithmetic. They lose points on items that show a child doing something sensible but incomplete and ask what to do about it. The habit that fixes this is small: every time you look at student work between now and test day, say out loud what the child does understand before you say what went wrong. The correct answer choice is almost always the one built on that understanding rather than the one that starts over.
A USEFUL NEXT STEP
FTCE Elementary Mathematics: study questions
What can I study in this FTCE Elementary Mathematics Online Center?
This FTCE Elementary Mathematics Online Center includes practice, lessons, worksheets, flashcards and review tools. Topics on the page include Competency 1: Student thinking and instructional practices, Competency 2: Operations, algebraic thinking, and base ten, Competency 3: Fractions, ratios, and integers.
How should I use the FTCE Elementary Mathematics resources?
Choose a topic or practice activity from this Online Center. Review the linked explanation, try the practice, and use the result to decide what to study next. Check each resource’s directions for its format and access requirements.
Resources from Effortless Math · Editorial standards