FTCE Middle Grades Math 5-9 (025) study guide
FTCE Middle Grades Math 5-9 (025) · Work through your exam, one topic at a time.
The Middle Grades Mathematics 5–9 (025) exam is one of the Florida Teacher Certification Examinations (FTCE) subject-area tests. Candidates take it to demonstrate the mathematics knowledge and instructional judgment expected of a teacher of mathematics in grades 5–9. The FTCE Middle Grades Math 5-9 (025) study guide has 5 sections and about 1,418 words.
01Number Sense, Concepts, and Operations
Number sense on this exam is mostly about flexibility: moving among fractions, decimals, percents, and scientific notation; applying integer and exponent rules; and choosing efficient strategies for proportional reasoning. Candidates should be able to classify numbers (natural, whole, integer, rational, irrational), use the number line to compare and order, apply order of operations, find GCF and LCM, and solve multi-step percent and rate problems.
291 words, about 1 min02Algebraic Thinking and the Coordinate Plane
Algebraic thinking includes translating verbal relationships into expressions and equations, simplifying with exponent rules, solving linear equations and inequalities, graphing lines, and interpreting functions. Know slope as rate of change, slope-intercept form y = mx + b, standard form, and how to find intercepts.
308 words, about 2 min03Geometry and Measurement
Geometry and measurement questions test angle relationships, triangle properties, similarity and congruence, the Pythagorean theorem, perimeter, area, surface area, volume, circles, and measurement conversion. Know that the interior angles of a triangle sum to 180 degrees, that similar figures have proportional sides, and that the Pythagorean theorem applies only to right triangles.
293 words, about 1 min04Probability, Statistics, and Data Analysis
Statistics questions ask you to summarize and compare data using mean, median, mode, range, interquartile range, and standard deviation, and to read displays such as dot plots, histograms, box plots, and scatterplots. Know how outliers affect measures of center, how to interpret percentiles, and how sampling method affects generalization.
255 words, about 1 min05Mathematical Instruction and Assessment
Instruction and assessment questions test how a middle grades teacher plans, delivers, and evaluates mathematics. Know the difference between conceptual understanding, procedural fluency, and application, and how multiple representations (concrete, pictorial, symbolic, verbal) support learning.
271 words, about 1 min