TEAS Math Focus

Grade Level

12th Grade

Duration

45 minutes

Class Size

1 student (one-on-one instruction)

Learning Objectives

By the end of this lesson, the student will be able to:

Solve linear equations and inequalities involving one or two variables to prepare for the TEAS math section. (CCSS.Math.Content.HSA-REI.B.3)
Apply arithmetic and algebraic operations to problems involving fractions, decimals, and percent conversions relevant to the TEAS exam. (CCSS.Math.Content.HSN-Q.A.1, CCSS.Math.Content.7.RP.A.3)
Interpret data from tables and graphs, calculate measures of central tendency (mean, median, mode), and analyze real-world data. (CCSS.Math.Content.HSS-ID.A.1, HSS-ID.A.2)
Use volume and area formulas for common geometric solids pertinent to TEAS math shapes questions. (CCSS.Math.Content.HSG.GMD.A.3)
Perform metric and standard unit conversions with accuracy as on the TEAS exam. (CCSS.Math.Content.7.NS.A.2)

Standards Alignment (Common Core)

HSA-REI.B.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
HSN-Q.A.1: Use units as a way to understand problems and to guide the solution.
HSS-ID.A.1: Represent data with plots on the real number line (dot plots, histograms, box plots).
HSS-ID.A.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation).
HSG.GMD.A.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
7.NS.A.2: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Materials Needed

Whiteboard and markers
TEAS math formula cheat sheet (handout including area, volume, and conversion formulas)
Calculator with basic functions
Table of metric and standard conversions (handout)
Paper and pencil

Lesson Outline

Worksheets

Introduction and Warm-Up (5 minutes)

Quick review discussion of the TEAS math section structure and common question types: algebraic manipulation, fractions/decimals/percent, data interpretation, geometry, and conversions.
Engage student with a mental math warm-up on ordering mixed numbers (fractions and decimals) to activate prior knowledge. Example: Order 2/5, 0.45, ½, 0.9 from least to greatest.
Use the example from MATH 7.pdf: ¼, 0.45, 2/5, 0.9, ½ → order: ¼, 2/5, 0.45, ½, 0.9.

Activity 1: Solving Linear Equations and Inequalities (12 minutes)

Present a TEAS-style word problem involving a linear equation with one variable (from MATH 1.pdf and MATH 6.pdf examples):

Example problem: The rental cost of a tablecloth is $40 plus $5 per circular table and $3.50 per rectangular table. If a person rents 2 circular and 4 rectangular tables and pays $71, find how many tables of each type were rented.

Guide student through setting up and solving the equation step-by-step, focusing on isolating variables.
Introduce a simple inequality representation problem (e.g., supplies + textbooks cannot exceed $12,000) and have the student write the inequality and graph the solution on a number line.
Reinforce with quick algebraic simplification exercises (e.g., simplify 3x + 5x - 4 + 2).

Activity 2: Fractions, Decimals, Percent Conversions (8 minutes)

Use mixes of fractions and decimals important for TEAS:
Convert decimals to fractions and vice versa as demonstrated in MATH 2.pdf and MATH 8.pdf.
Calculate 17% of a number by converting percent to fraction: 17% = 17/100.
Demonstrate operations with fractions including addition and comparison.
Practice ordering values from least to greatest using fraction-decimal conversions.

Activity 3: Data Interpretation and Measures of Central Tendency (10 minutes)

Present a small data set related to a TEAS-type real-world scenario, e.g., patient temperatures or test scores, from MATH 5.pdf or MATH 3.pdf.
Teach finding:
Mean: sum values ÷ count.
Median: middle number(s) of sorted data.
Mode: most frequently occurring value.
Range: max − min.
Have student create a bar graph or histogram by hand using the given data.
Discuss when to use different graph types based on data (categorical vs continuous) referencing MATH 3.pdf and MATH 4.pdf.

Activity 4: Geometry - Area, Volume, and Conversions (8 minutes)

Review formulas for areas of triangles, rectangles, trapezoids, and circles using TEAS formulas sheet (TEAS-Math-Formulas 2.pdf).
Calculate volume for rectangular prism and cylinder examples drawn from TEAS 7 Volume.pdf:
Example: Find the volume of a cylinder with radius 3 cm and height 5 cm using V=πr²h.
Demonstrate metric and standard unit conversions relevant to the TEAS exam with examples from FutureRN TEAS 7 Math Conversions.pdf, e.g., inches to centimeters, gallons to quarts.
Provide an engaging real-world scenario where conversion is necessary (e.g., converting medication dosages).

Closing and Assessment (5 minutes)

Quick oral quiz: Ask student to solve a short mixed set of problems covering key skills practiced:

Solve: −12 − x = −22.
Convert 62.5% to fraction.
Find the median of {99.0, 99.2, 98.7, 99.3, 99.7, 98.6, 100.0, 99.0}.
Calculate the volume of a rectangular prism with length = 4, width = 3, height = 2.
Convert 3 feet into inches.

Provide immediate feedback and explain misconceptions if any.
Assign a short worksheet with TEAS-style problems (to be handed separately) for additional practice.

Differentiation and Accommodation

For one-on-one instruction, pace can be adjusted in real-time based on learner's grasp.
Use visual aids extensively, such as drawing graphs or labelled diagrams.
Incorporate calculator use as per TEAS allowance for efficiency.
Allow extra time on tougher concepts such as inequalities or conversions.

Extension Ideas

Introduce problem-solving with simultaneous linear equations as next step.
Use online TEAS-style math practice apps for interactive reinforcement.
Explore probability questions briefly if time permits, tying to data interpretation.

This lesson offers targeted, TEAS-relevant mathematics preparation for a senior high school student, focusing on concrete skills aligned with Common Core standards and demonstrated through practical, real-world examples and varied instructional modes.

Teaching Instructions