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Math

What You Will Learn

The learning outcomes below outline the key skills and knowledge assessed on the CAEC test for this subject.

  • Enables test-takers to demonstrate computational fluency using a variety of strategies, including mental math and algorithms without the use of a calculator.

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    • 1.1 Add, subtract, multiply, and divide fractions and mixed numbers.

    • 1.2 Add, subtract, multiply, and divide decimals, percentages, and integers.

    • 1.3 Solve linear equations of the form x + a + b = c, where a, b, and c are decimals or integers.

    • 1.4 Evaluate expressions using order of operations including whole numbers, integers, decimals, fractions, and powers.

  • Understanding of numbers and operations, as well as the ability to apply computational strategies, procedures, and reasoning to solve problems.

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    • 1.1 Solve problems in financial or other contexts that involve fractions, decimals, and percentages, such as gratuity, discounts, commission, taxes, interest, and salary.

    • 1.2 Solve problems in financial and real-world contexts that involve rates, ratios, and proportions, such as speed or scale.

  • Understanding the use of patterns to describe the world and to apply logic and reasoning to solve problems.

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    • 2.1 Interpret and extend patterns and relationships.

    • 2.2 Write and solve linear equations that model real-world contexts.

    • 2.3 Apply and manipulate a given equation or formula.

    • 2.4 Analyze and solve problems using numerical and logical reasoning.

  • Understanding properties of shapes and objects, and the process of quantifying the measurable attributes of shapes with units.

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    • 3.1 Convert between various units of measure, including Système International d'unités (SI) (without a conversion rate provided in the question), Imperial (with conversion rate provided), and U.S. Customary units of measure (with conversion rate provided).

    • 3.2 Apply scale factor and properties of similar shapes to solve problems.

    • 3.3 Apply the Pythagorean Theorem to solve problems that involve right triangles.

    • 3.4 Apply formulas to determine the perimeter and area of two-dimensional shapes, including composite two-dimensional shapes.

    • 3.5 Apply formulas to determine the surface area and volume of three-dimensional shapes, including composite three-dimensional shapes.

  • Understanding different types of data and techniques for analyzing data, and experimental or theoretical probabilities to represent and solve problems involving uncertainty.

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    • 4.1 Interpret data represented in tables, spreadsheets, and graphs, such as line graphs, bar graphs, histograms, circle graphs, and scatterplots.

    • 4.2 Calculate and analyze mean, median, mode and range, with consideration of any outliers.

    • 4.3 Solve problems that involve the probability of independent events and mutually exclusive events.

Learning Resources

Webpages, readings, and reference materials

These online resources are available on desktop computers only and are not accessible on mobile devices at this time.

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