Geometry 2D
Grades 2-12
Geometry 3D
Grades 7-11
Circles
Grades 6-11
Pythagoras
Grades 7-11
Probability
Grades 5-12
Exponents
Grades 5-12
Fractions/Decimals
Grades 1-11
Factors/Primes
Grades 4-11
Speed/Distance/Time
Grades 6-12
Numbers
Grades 5-10
Statistics
Grades 5-12
Multiply/Divide
Grades 1-9
Percentages
Grades 6-10
Time
Grades 2-8
Scientific Notation
Grades 6-12
Rates/Ratios
Grades 5-10
Metric Units
Grades 6-12
Place Value
Grades 0-6
Addition and Subtraction
Grades 0-4
Numeracy
Grades 0-4
Radicals
Grades 8-12
Data/Graphing
Grades 1-8
Visual Patterning
Grades 1-6
Patterning
Grades 5-12
Slope/Linear Equations
Grades 8-12
Shapes and Angles
Grades 0-7
Algebra
Grades 6-12
Trigonometry
Grades 10-12
This math unit introduces and develops skills in metric measurement and scientific notation. It starts with understanding realistic time estimates and volume comparisons using metric units, gradually progressing to identifying and working with metric abbreviations, understanding multiplication factors, and comparing sizes of different metric units. The unit then delves deeper into the metric system by correlating multiplication factors to their equivalent powers of ten, laying a strong foundation for converting and manipulating decimals in various forms. Ultimately, the unit transitions into hands-on applications of scientific notation, teaching students to convert decimals into scientific notation, and vice versa, with increasing precision. This progression equips students with the necessary skills to manage and convert measurements effectively and handle scientific data in mathematical and scientific contexts, enhancing their understanding of how these concepts interlink and apply in real-world scenarios.Skills you will learn include:
This math unit focuses on mastering metric unit conversions across different scales, starting with learning to convert large exponential values into metric prefixes, such as \(10^9\) to giga. Students then progress through various types of metric conversions involving length, volume, and mass with decimals, transitioning from common units to more comprehensive sets including units like decameters and hectoliters. The unit intensifies by covering conversions among extremely large and small metric units. Students learn to associate metric prefixes with their corresponding abbreviations and powers of ten, practicing with prefixes like peta and yocto. This tiered approach builds a strong foundation in understanding and applying the metric system in realistic and scientific contexts, significantly enhancing students' skills in decimal manipulation, unit conversion, and scientific notation.Skills you will learn include:
This math unit begins by introducing learners to the metric system and its measurement units, focusing initially on understanding and converting metric prefixes and their abbreviations. Students start with basic exercises that match numeric factors to metric abbreviations and progress to more complex conversions involving metric volume units with decimals. They also learn to compare the size of common metric prefixes to identify which represents a larger value. Further into the unit, students apply their understanding of metric conversions to real-life scenarios using map scales. They practice converting map scales into real-world distances, which involves recognizing different metric units such as kilometers, hectometers, and decameters, and calculating the actual distance from a map measurement. The unit advances to interpreting and applying different scales on maps to solve problems that involve converting measurements to various metric units. Through step-by-step progression, students also revisit and deepen their understanding of metric volume measurements, enhancing their skills in precision and decimal manipulation within the metric system. Lastly, the unit consolidates the ability to convert metric prefixes to their corresponding power of ten, ensuring a comprehensive grasp of the metric conversion process.Skills you will learn include:
This math unit starts with students learning to apply scale conversions on maps using metric measurements, focusing on powers of 10 up to less than 1000. Initially, learners convert measurements between the same metric units while interpreting map scales, enhancing their understanding of measurement conversion principles. As the unit progresses, students begin to convert measurements from maps to various different larger metric units, which introduces them to more complex unit conversions and scale calculations. The unit then evolves into more challenging tasks, where learners find map measurements from actual distances and vice versa, applying both multiplication and division within the context of maps using metric units like millimeters, centimeters, and meters. The complexity further increases as students must compute and interpret map scales directly from given measurements in varying metric units, eventually handling conversions for scales and measurements involving larger powers of ten up to a million. Throughout this unit, learners strengthen their skills in handling measurement conversions, understanding map scales, and applying proportional reasoning within the metric system, preparing them for more advanced topics in dimensional analysis and real-world applications of mathematics.Skills you will learn include:
This math unit begins by establishing foundational knowledge in understanding and converting common metric prefixes into numerical factors and their corresponding powers of ten, focusing on scales ranging from milli to kilo. Progressively, learners then apply these concepts practically by performing conversions within specific metric measurement units such as volume, mass, and length, making comparisons and calculations that incorporate decimal precision. The unit further evolves by incorporating scientific notation, where students practice converting small and large numbers to and from scientific notation, refining their ability to manipulate powers of ten for precision in representation. Initially, conversions maintain zero decimal places, gradually advancing to maintaining up to two decimal places to enhance exactitude in scientific calculations. Towards the end, the unit integrates scientific notation with metric units, extending the learners’ capacity to handle very large and small numbers by converting them into appropriate metric unit abbreviations. This encompasses handling units from terabytes and terajoules to nanometers, reinforcing a comprehensive understanding of the metric system and scientific notation in various contexts.Skills you will learn include:
This math unit progresses from foundational to complex skills centered around the metric system and scientific notation. Initially, students practice identifying multiplication factors corresponding to specific metric prefixes, progressing to converting these prefixes into their equivalent powers of ten. They also practice using mnemonic devices to recognize and place metric prefixes in the context of exponential notation, moving from larger to smaller units. As the unit advances, students compare the relative sizes of metric units, enhancing their understanding of scale and precision crucial for scientific measurements. The latter part of the unit delves deeply into scientific notation, where students convert numbers from and to scientific notation, maintaining varying decimal place accuracy. They also learn to abbreviate metric prefixes for both very large and very small units. Finally, the unit integrates conversion exercises where students apply their understanding of decimals and metric units across length, mass, and volume, mastering conversion among different units within each category. This progression solidifies both the conceptual grasp and the practical application of metric measurement and scientific notation, preparing students for more complex scientific and mathematical tasks.Skills you will learn include:
This math unit begins with foundational skills in understanding metric units, assisting students in recognizing and converting metric prefixes to powers of ten, and comparing the sizes of different units. Students engage in tasks like matching prefixes with exponents and identifying smaller metric units. They progress towards more complex mathematical skills involving deeper conversions of various metric units of volume, mass, and length with decimals, enhancing precision in conversions across scales. Towards the unit's conclusion, students apply these skills to real-world contexts, such as converting metric units on maps using power of ten scale factors. Throughout the unit, students build a comprehensive skill set from basic identification of metric unit relationships to complex, practical applications involving detailed measurements and scale conversions.Skills you will learn include:
This math unit guides students through a progressive understanding of metric units and scientific notation. It starts with foundational skills in metric units, beginning with recognizing and converting metric prefixes to powers of ten and understanding unit comparisons and relative sizes. Students learn to use mnemonic devices to remember unit sequences and identify missing exponents, which deepens their understanding of the scaling of units. As the unit progresses, the focus shifts to scientific notation. Initially, students practice multiplying decimals by powers of ten to prepare for working with scientific notation. They then learn to convert numbers between standard decimal notation and scientific notation, gradually increasing the precision and complexity by including different decimal placements. This section of the unit emphasizes the compact and precise expression of both large and small numbers, cultivating an ability to handle and convert numbers efficiently in scientific contexts. The sequence of topics ensures that students build on their metric system knowledge and apply it to scientific notation, enhancing their mathematical proficiency across diverse scenarios.Skills you will learn include:
This math unit revolves around understanding and mastering the metric system, particularly focusing on metric prefixes for extremely large and extremely small units. The unit begins by introducing the mnemonic methods to memorize the order of metric prefixes for large units, assisting students in identifying missing prefixes. It then progresses to comparing and differentiating between these large metric units, utilizing abbreviations and determining relative sizes. The lessons expand to include similar skills for extremely small metric prefixes, again using mnemonic aids for easier recall and understanding. As the unit advances, students learn to convert between metric prefixes, abbreviations, and exponents, enhancing their competence in handling very large and small measurements. These skills are practiced through multiple-choice questions that require matching prefixes with correct abbreviations and converting powers of ten to their corresponding metric abbreviations. This systematic approach develops a comprehensive understanding of metric conversions, crucial for accurate measurement and scientific calculations.Skills you will learn include:
This math unit begins by grounding students in the basics of metric units, focusing on the conversions between base names and powers of ten. Early topics emphasize understanding and using different metric prefixes and conversions, which are foundational to handling measurements. Later, the unit transitions into scientific notation, starting with converting standard units into scientific notation and vice versa. Students initially learn to express simple measurements in scientific notation, gradually moving to more complex conversions involving exact digits and both positive and negative powers of ten. This progression builds a comprehensive skill set, allowing students to manipulate and convert between different forms of numerical representation with precision. The unit culminates in mastering the ability to fluently switch between scientific notation and various units, effectively handling different magnitudes and enhancing their application in scientific and mathematical contexts.Skills you will learn include:
This math unit progressively develops students' proficiency in converting metric mass units with a focus on handling decimal values effectively. Initially, the unit starts with the recognition of abbreviations for very small metric units and their exponent forms. Students then learn to convert metric mass units from larger to base units, and similarly, from smaller to base units using decimals. As the unit progresses, emphasis shifts to more complex conversions involving multiple metric units, which requires a thorough understanding of the metric system and precise decimal manipulation. The problems evolve from converting basic units such as grams and kilograms to more complex scenarios that involve a variety of metric units, including milligrams, centigrams, and hectograms. Students gradually move from simpler tasks toward complex real-world applications, reflecting an increase in the difficulty and depth of understanding required for mastering metric mass unit conversions with decimals.Skills you will learn include:
This math unit begins by teaching students how to convert measurements between scientific notation and various units, both large and small. Initially, learners focus on translating numbers expressed in scientific notation into standard metric units (like meters and grams) across various scales (such as kilo and milli). They then reverse this process, learning to express regular unit measurements in scientific notation, which strengthens their grasp of metric prefixes and powers of ten involved in these conversions. As the unit progresses, the focus shifts to deepening the students’ understanding of metric units themselves. Learners engage with mnemonic devices to remember the order of metric prefixes, from extremely large to very small scales, and practice identifying which metric units are larger or smaller in comparative exercises. This helps them understand the relative sizes of these units and enhances their ability to perform precise conversions and comparisons, a skill critical in scientific and mathematical contexts involving diverse scales of measurement.Skills you will learn include:
This math unit focuses on developing students’ understanding and skills in converting metric measurements and interpreting map scales. Initially, students learn to convert map measurements into actual distances using scales under 1000, focusing on single and multiple metric units like centimeters and millimeters. As they progress, they apply these skills to more complex scenarios involving larger scales up to 1:1,000,000 and different metric units including meters, decameters, and kilometers. The unit also covers reverse calculations, where students find map measurements from actual distances, enhancing their grasp of proportional reasoning and scale application. Towards the end, the unit emphasizes calculating and determining map scales, requiring students to master conversion between various metric units and understand their implications in real-world mapping contexts. This comprehensive approach helps students adeptly manage metric conversions and the practical application of scales, essential for interpreting spatial data in maps.Skills you will learn include:
This math unit progresses through a thorough exploration of metric measurement conversions centered on volume and length units, incorporating decimals and concluding with practical applications in map scale conversions. Initially, the unit introduces students to basic volume conversions between common metric units, both large-to-base and small-to-base, reinforcing the application of decimal arithmetic in converting between liters, milliliters, and other related units. As the unit progresses, the focus shifts from common units to all metric volume units, increasing the complexity of the conversions students must handle. They practice both shrinking and expanding metric units, such as converting from smaller units like centiliters to larger ones like hectoliters, and vice versa, refining their ability to manipulate decimals within these contexts. Transitioning from volume, the unit then explores metric length conversions, helping students to adapt the conversion skills developed in earlier topics to new contexts involving kilometers, meters, and millimeters, among others. Lastly, the unit integrates these conversion skills into real-world applications by focusing on map scales. Students learn to translate measurements on maps into actual distances and understand how different scales impact these conversions, effectively merging their knowledge of measurement conversions with practical applications involving scale interpretation in mapping scenarios.Skills you will learn include:
This math unit begins by focusing on recognizing and converting between different metric units and their fractional forms. Initially, the unit teaches converting basic metric units (like meters and grams) into fractions and vice versa, emphasizing an understanding of base and unit names within the metric system. As students progress, they engage with extended metric units, advancing their skills in unit conversions involving more complex and less frequently used metrics. Later in the unit, the focus shifts to applying the understanding of metric units in the context of scientific notation. Students learn to express various measurements in powers of ten, which enhances their grasp of scientific notation when dealing with very large or very small numbers. This includes working with standard units and metric prefixes in both positive and negative contexts, aiming to foster accuracy in scientific measurements and notation. Overall, this unit progresses from basic unit recognition and conversion to applying these concepts within scientific notation for practical and accurate measurement representation.Skills you will learn include:
This math unit enables students to master the practical application of metric unit conversions and map scale interpretations. Initially, students learn to work with smaller scale factors and simpler conversions within the same unit for measurements under 1000. As they progress, the unit introduces more complex conversions involving different metric units like millimeters, centimeters, meters, and kilometers, alongside understanding map scales up to 1,000,000. The challenges escalate from basic problems that require converting map measurements to actual distances or vice versa, maintaining values less than 1000, to more intricate tasks involving calculation of the map scale itself and handling measurements up to million with changes in unit types. The unit culminates with learners applying these skills to construct and interpret scales based on provided map measurements versus actual distances, incorporating different metric units and addressing the complexities of various map scale ratios. This sequential buildup enhances their competence in linking real-world distances with scaled map representations.Skills you will learn include:
This math unit starts by introducing students to the basic concepts of the metric system, focusing on metric unit abbreviations and their corresponding powers of ten. Students learn to identify and match abbreviations to exponent values and to differentiate between very large and very small metric units. The unit progresses to more complex skills, such as using mnemonic devices to remember the order of metric prefixes for extremely small to extremely large units. Later, students practice converting numbers between normal and scientific notation, rounding to two decimal places, which is crucial for expressing large and small quantities succinctly. The unit then shifts to more applied skills, such as converting various metric units—length, volume, and mass—with a focus on precision and understanding of decimal placements in real-world contexts. These exercises are presented in multiple-choice format, enhancing students' understanding and mastery of metric unit conversions and the relationships among different units in a comprehensive, practical manner. Through these sequential topics, students build a strong foundation in both theoretical and practical aspects of the metric system and scientific notation. Skills you will learn include:
This math unit advances students' knowledge in the metric system, focusing on understanding the relationship between prefixes, exponents, and abbreviations for both extremely large and small measurements. Initially, students learn to convert metric prefixes into corresponding powers of ten and vice versa, beginning with larger units and then addressing smaller units. Their knowledge is then extended to associating these powers with standard metric abbreviations, facilitating precise unit identification based on scientific notation. Progressing further, students engage in converting between various metric length and mass units involving decimals, enhancing their practical and computational skills in unit conversion. The introduction of mnemonic devices aids in retaining and applying the concepts of powers and prefixes effectively, especially when dealing with very large or small magnitudes. Finally, the unit includes exercises that challenge students to compare and determine relative sizes of metric units, solidifying their understanding of the metric system's hierarchical structure. This comprehensive approach develops a thorough competency in metric measurements and conversions, vital for mathematical and scientific applications.Skills you will learn include: