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FTCE Middle Grades Mathematics 5-9 Online Center

This FTCE Middle Grades Mathematics 5-9 Online Center brings together practice, lessons, worksheets, flashcards and review tools. Choose the resource that matches the skill you want to work on next.

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FTCE Middle Grades Mathematics Practice Center

Sit one full 150-minute form, then read the explanation under every question you missed. Sort the misses two ways: by competency, and by whether the mathematics defeated you or the setup did. Ten of the fifty questions ask about student reasoning and instruction rather than computation, so track those separately.

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FTCE Middle Grades Mathematics 5-9 at a glance

This is the subject area exam for Florida certification in Middle Grades Mathematics, grades five through nine. Florida redeveloped the content framework for test 025 without changing the test code, collapsing the old ten competencies into five. Algebra now carries thirty percent of the questions by itself. The old framework spread thirty-five percent of the test across four separate pedagogy competencies; the redeveloped version folds all of that into one competency worth twenty percent, so the balance has moved firmly toward content.

Test code 025 (Middle Grades Mathematics 5-9)
Status Current. Florida redeveloped the competency framework rather than renumbering the test. The five-competency redeveloped document and its Test Information Guide are the ones published for the live exam.
Number of questions Approximately 50 multiple-choice questions
Time limit 2 hours 30 minutes
Format Computer-based, four options (A through D). Item types include scenario questions, direct questions, command items, graphic-based items built on number lines, figures, graphs, tables and charts, and word problems.
Calculator An on-screen scientific calculator is furnished inside the test. You may not bring your own.
Passing score A scaled score of at least 200. Results are reported as PASS or NOT PASS, and candidates who do not pass also receive a numerical scaled score.
Who takes it Candidates seeking Florida certification coverage in Middle Grades Mathematics, grades five through nine.
Teaching questions One competency in five, twenty percent of the test, is about student reasoning and instructional practice.

Florida publishes an approximate percentage for each competency, and the five figures total 100 percent: number sense, operations and proportionality 15 percent, algebra 30 percent, geometry 20 percent, data analysis, statistics and probability 15 percent, and student reasoning and instructional practice 20 percent. On a 50-question form that works out to roughly 8, 15, 10, 7 and 10 questions, which is how both practice forms here are built.

The five competencies, in plain language

Florida lists each competency with the skills under it. Here is what each one actually asks you to do.

1. Number sense, operations, and proportionality (about 8 questions, 15 percent)

Rational and irrational numbers, and moving between the forms they come in.

  • Compare and convert fractions, terminating and repeating decimals, percents, and points on a number line
  • Operate with rational numbers, including multi-step expressions and order of operations
  • Estimate square roots and place irrational numbers against rational ones
  • Scientific notation and significant digits
  • Common factors, greatest common factor, and least common denominator
  • Ratios, rates, mixtures, proportions, measurement conversion, and percent applications
  • Associative, commutative, and distributive properties, and inverse operations
  • Radicals and rational exponents under the laws of exponents

2. Algebra (about 15 questions, 30 percent)

The heaviest competency by a wide margin, and it reaches past middle school algebra.

  • Numerical and algebraic patterns in tables, graphs, descriptions, and formulas
  • Evaluate functions, decide whether a relation is a function, and identify function types
  • Generate equivalent polynomial, radical, and rational expressions
  • Solve linear and absolute value equations and inequalities and read their key features
  • Find slope and intercepts from a graph, table, or equation, and write the line
  • Solve two-variable systems of equations and inequalities algebraically and graphically
  • Interpret and solve quadratic functions and equations by several methods
  • Match exponential functions to real-world graphs
  • Shifts and scalings applied to linear, quadratic, and absolute value functions

3. Geometry (about 10 questions, 20 percent)

Figures, measurement, the coordinate plane, and how figures move.

  • Classify triangles, quadrilaterals, and solids by defining attributes
  • Area of triangles and of composite figures
  • Volume and surface area of solids, including Cavalieri’s principle and nets
  • Perimeter, circumference, area, surface area, and volume in context
  • Coordinate plane problems
  • Proportional relationships between similar two- and three-dimensional figures
  • Triangle Inequality Theorem, the Pythagorean Theorem, and its converse
  • Interior angles, angle properties, and parallel lines cut by a transversal
  • Translations, rotations, reflections, and scaling between a figure and its pre-image
  • Congruence and similarity criteria for triangles
  • Center, radius, and equation of a circle

4. Data analysis, statistics, and probability (about 7 questions, 15 percent)

Reading data honestly and reasoning about chance.

  • Measures of center and measures of variation
  • Patterns in a data display and the shape of a distribution
  • Histograms, box plots, bar charts, and frequency tables
  • Population estimates from survey data
  • Statistical questions and the samples used to draw inferences
  • Correlation in bivariate data from scatter plots and frequency tables
  • Fit a linear function to real data and interpret slope and intercept in context
  • Theoretical probability, experimental probability, and the gap between them

5. Student reasoning and instructional practice (about 10 questions, 20 percent)

The teaching competency. Twenty percent of the test, and it rewards precision about what a student did wrong.

  • Represent real-world contexts with appropriate expressions and equations
  • Identify instructional methods for teaching strategies, concepts, and procedures
  • Give students chances to check the reasonableness of results and judge arguments
  • Find mathematical connections and check a sequence of concepts for continuity
  • Choose among verbal, pictorial, graphical, and algebraic representations
  • Read learning progressions that show how understanding develops over time
  • Use assessment data to guide instruction and differentiate it
  • Address a specific misconception with a targeted approach

A study routine that fits a 150-minute test

Fifty questions in 150 minutes is three minutes each. That is generous for a middle grades test, so the pressure comes from breadth rather than speed. Quadratics, transformations, circle equations, and bivariate data all appear, and candidates who studied only what they teach get surprised.

DiagnoseTake Practice Test 1 cold, all 50 questions in 150 minutes. Tally the misses by competency.
Go after algebra firstThirty percent of the test is one competency. Slope, systems, exponent rules, and quadratics are where the points are concentrated, and the algebra also feeds several geometry and data questions.
Make the formulas automaticRun the deck until area, volume, surface area, slope, distance, and the percent relationships come out without hesitation. Know what a scale factor does to area and to volume, because that fact alone shows up more than once.
Work the teaching competency deliberatelyTen questions come from student reasoning and instruction. Before you look at the choices, name the student’s error in one sentence. The right answer names that error; the wrong ones say the student needs more practice or more time.
Prove itTake Practice Test 2 under the same conditions, with a scientific calculator and nothing more.

Complete lesson map

Sixty-seven lessons covering the mathematics behind competencies 1 through 4, each opening in a new tab so you can keep this page open while you work. Competency 5 is teaching practice rather than content, so study that one through the deck, the quick review, and the explanations on the practice forms.

Number sense and operations

Ratio, proportion, and percent

Exponents, radicals, and scientific notation

Expressions, equations, and inequalities

Lines, systems, and functions

Polynomials and quadratics

Geometry and measurement

Data, statistics, and probability

Before test day

Two habits separate a comfortable pass from a near miss. The first is unit work in two and three dimensions: a square meter is ten thousand square centimeters, and a candidate who treats it as one hundred loses the question with flawless arithmetic. The second is reading student work carefully. When a question hands you a wrong answer and asks what happened, say the error out loud before you read the choices, and those ten questions turn into the easiest ones on the form.

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FTCE Middle Grades Mathematics 5-9: study questions

What can I study in this FTCE Middle Grades Mathematics 5-9 Online Center?

This FTCE Middle Grades Mathematics 5-9 Online Center includes practice, lessons, worksheets, flashcards and review tools. Topics on the page include Number sense and operations, Ratio, proportion, and percent, Exponents, radicals, and scientific notation.

How should I use the FTCE Middle Grades Mathematics 5-9 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.

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