See free resources for parents and educators to teach kids about social justice and racial equality.
The guide gives some good, though not entirely polished, tips: Have kids start by taking level A quizzes in operations (and other concepts) they already know in multiple-choice mode, ignoring the time bonus. Allow younger kids to use paper and pencil to work out their answers, but for higher grades, emphasize mental math. Once they've mastered beginner quizzes, you can urge them toward higher levels, mental math, and getting time bonuses.
Fourth, fifth, and sixth graders will benefit from the four operations and next 12 categories; the final seven categories are definitely middle school only.Continue reading Show less
Math Pack Flash Cards is a series of well-organized quizzes (not really flashcards at all) ranging from simple one-digit addition to eighth-grade-level probability. With a simple menu and layout, the app includes multiple-choice or type-in answer modes as well as data reports. A short but sweet guide for parents and teachers is tucked into the About section with how-to hints.
Kids choose from 25 math concepts including operations, decimals, four-quadrant graphing, algebra, and probability. Ten-question quizzes, four for each concept, offer four choices each; type-in mode offers a number pad and buttons for “clear” and “enter.” Even though the five-second bonus timer is small, it adds a bit of stress. The “game over” screen shows total number of correct and incorrect answers, score in percentage, total bonus points, an efficiency score based on speed, percentile rank, and a link to the user forum efficiency statistics.
Math Pack Flash Cards is a great way for kids to increase speed and efficiency in math basics as well as advanced middle-school concepts. The built-in time bonus and superb data reporting, including efficiency displayed on the main menu, really give kids a helpful view of how they're doing and how efficiently they work. Downsides: inconsistent and hidden explanations of concepts, lack of depth for some concepts -- particularly geometry -- and relatively basic, dry design. An adjustable bonus countdown quantity would also help provide a bridge for kids who get stressed easily under time pressure.
The "help" explanations accessed through operator and concept icon buttons are not always super useful but worth a look anyway. Overall, kids should already have a good understanding of the concepts -- and an efficient solution algorithm -- before taking the quizzes. Though the main menu has a pleasing and simple layout, A to D rows are a bit confusing at first, and some numbers in parentheses remain cryptic.
Key Standards Supported
Number And Operations In Base Ten
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
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
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. a.
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Operations And Algebraic Thinking
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Ratios And Proportional Relationships
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
Recognize and represent proportional relationships between quantities.
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
The Number System
Fluently divide multi-digit numbers using the standard algorithm.
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Apply properties of operations as strategies to add and subtract rational numbers.
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real- world contexts.
Apply properties of operations as strategies to multiply and divide rational numbers.
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Solve real-world and mathematical problems involving the four operations with rational numbers.