Just in time for back-to-school: New distance learning resources are available on Wide Open School.
Math Live! stands out among educational websites as a tool for guiding students toward better conceptual understanding. The site adeptly covers math concepts and provides quality (if only printable) assessments. The site is best used to help your students understand –- not memorize –- topics.
In a self-paced classroom, students working individually or in small groups can learn online while teachers work with others. For those using a flipped-class approach, the site can be used to introduce topics at home while classroom time is used for practice. The site’s curriculum includes relevant, high-quality activities and assessments. These can work as both pre- and post-tests, assessing student readiness as well as measuring understanding. The site even includes sample responses to help instructors predict different levels of math reasoning. The parent and teacher notes provide some great suggested extensions and real-world applications.Continue reading Show less
Math Live! has an animated cast of characters who help students learn more than 20 significant math concepts, from place value to probability. After selecting a topic, students proceed through five to ten short segments in which the characters introduce a problem, explain the concepts, and provide interactive practice. Where most online math explorations tend to focus on drills and memorization, Math Live! stands out for its attempts to cover the conceptual side of different math topics.
Math problems range from the expected (“How can we divide these balloons for the school dance?) to the quirky (“What fraction of the kittens will wear sweaters?”). The animated crew speaks clearly and thoughtfully, and vocabulary is clearly spelled out for easy note-taking. The site also includes printable activities and assessments, complete with keys, rubrics, and even sample responses.
Math Live! engages students with age-appropriate content and clear, yet concise, instruction. What’s unique is the quality and depth of instruction; in a field of math online explorations geared toward drills and memorization, Math Live! stands out for its conceptual coverage of topics. Students will receive immediate feedback as they practice math problems that aim to build true understanding. Unfortunately, the online practice doesn't adapt based on student input; the site could be a more powerful learning tool if next steps were tailored to responses. Also, teachers should know that the site doesn't electronically record student progress, nor does it provide feedback about students' answers on the site.
Ultimately, students can demonstrate mastery through the printable activities and assessments (provided within the site). Don’t be fooled by this old-school approach! The assessments are of exceptional quality; they focus on conceptual understanding and ask students to explain their thinking. The included rubrics and sample student responses will help both new and experienced teachers promote and monitor their students' math reasoning.
Key Standards Supported
Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
Measurement And Data
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Recognize area as an attribute of plane figures and understand concepts of area measurement.
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
Relate area to the operations of multiplication and addition.
Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two- column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
Number And Operations In Base Ten
Use place value understanding to round multi-digit whole numbers to any place.
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Number And Operations—Fractions
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Operations And Algebraic Thinking
Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
Statistics And Probability
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
The Number System
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.