Illustrative Math Alignment: Grade 6 Unit 9
Putting it All Together
Lesson 4: How Do We Choose?
Use the following Media4Math resources with this Illustrative Math lesson.
| Thumbnail Image | Title | Body | Curriculum Topics |
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Video Tutorial: Ratios, Video 17 | Video Tutorial: Ratios, Video 17
TopicRatios DescriptionThis video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights. |
Ratios and Rates |
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Video Tutorial: Ratios, Video 18 | Video Tutorial: Ratios, Video 18
TopicRatios DescriptionThe video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I. |
Ratios and Rates |
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Video Tutorial: Ratios, Video 19 | Video Tutorial: Ratios, Video 19
TopicRatios DescriptionThe video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes. |
Applications of Ratios, Proportions, and Percents and Proportions |
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Video Tutorial: Rational Numbers: Video 1 | Video Tutorial: Rational Numbers: Video 1
TopicRational Numbers DescriptionThis video introduces rational numbers, defined as ratios of two integers where the denominator is non-zero. Key concepts include fractions, ratios, and integers as rational numbers. Applications involve classroom ratios and number line representation with positions like 5/4 and -2/4. It emphasizes rational numbers in everyday contexts, such as temperature comparisons using decimals. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 2 | Video Tutorial: Rational Numbers: Video 2
TopicRational Numbers DescriptionThe video explores rational and irrational numbers. Rational numbers include integers, fractions, and repeating decimals. Irrational numbers, such as the square root of non-perfect squares and pi, are non-terminating and non-repeating. Examples include Pythagorean triples and circle circumference ratios. Applications focus on distinguishing between the two. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 3 | Video Tutorial: Rational Numbers: Video 3
TopicRational Numbers DescriptionThis video demonstrates how rational numbers are plotted on a number line, showing positive and negative values sequentially. Examples include ecosystem measurements and thermometers interpreted as number lines. It highlights the infinite nature and precise placement of rational numbers in real-world scenarios. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 4 | Video Tutorial: Rational Numbers: Video 4
TopicRational Numbers DescriptionThe video explains absolute value as the distance between two points on a number line. Key examples include altitude changes of kites and submersibles. Techniques involve counting increments or using subtraction. It emphasizes absolute value's role in understanding distances irrespective of direction. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 5 | Video Tutorial: Rational Numbers: Video 5
TopicRational Numbers DescriptionThis video presents methods for comparing and ordering rational numbers using number lines. It emphasizes arranging numbers from least to greatest and graphing positions. Real-world applications include submersible depths and relative point positioning. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 6 | Video Tutorial: Rational Numbers: Video 6
TopicRational Numbers DescriptionThis video introduces techniques for adding rational numbers. Examples include altitude changes and submersible descents. It covers adding mixed numbers, decimals, and opposites, showcasing the relationship between rational numbers and their negative counterparts, with applications in various contexts. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 7 | Video Tutorial: Rational Numbers: Video 7
TopicRational Numbers DescriptionThis video explores subtracting rational numbers, with examples like temperature ranges and vertical distances. Techniques highlight the relationship between subtraction and addition of negatives. Applications include interpreting distances and temperature differences. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 8 | Video Tutorial: Rational Numbers: Video 8
TopicRational Numbers DescriptionThe video covers multiplying rational numbers with examples like drilling depths and financial credits. It explains how repeated addition is modeled as multiplication. The mathematical proof demonstrates that multiplying rational numbers yields another rational number. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 9 | Video Tutorial: Rational Numbers: Video 9
TopicRational Numbers DescriptionThis video explains dividing rational numbers using examples like sharing pizzas and complex fraction simplifications. It emphasizes rewriting terms to align with the rational number definition and addresses why dividing rational numbers results in another rational number. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 10 | Video Tutorial: Rational Numbers: Video 10
TopicRational Numbers DescriptionThe video explores the interaction of rational numbers with exponents. Examples include expressing square roots as rational exponents and simplifying complex expressions. Applications in geometry and algebra highlight the versatility of these concepts for further mathematical studies. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 11 | Video Tutorial: Rational Numbers: Video 11
TopicRational Numbers DescriptionThis video discusses evaluating numerical expressions with rational numbers, emphasizing the order of operations (PEMDAS). Examples include calculating areas of rectangles and finding the slope of a line using the Cartesian plane. It highlights parentheses' role in operations and real-world applications like geometry and measurements. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 12 | Video Tutorial: Rational Numbers: Video 12
TopicRational Numbers DescriptionThe video explores variable expressions involving rational numbers. Examples include finding combined areas of rectangles using algebraic expressions and analyzing the trajectory of a ball using a formula with time as a variable. It demonstrates real-world applications of rational number operations in algebra and physics. |
Rational Expressions |
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Video Tutorial: Rational Numbers: Video 13 | Video Tutorial: Rational Numbers: Video 13
TopicRational Numbers DescriptionThis video focuses on graphing rational numbers on the Cartesian coordinate system, calculating slopes, and writing line equations. It explains conditions for positive, negative, zero, and undefined slopes using delta-y and delta-x. Applications include geometry and understanding coordinate relationships. |
Rational Expressions |
