Use Mathventure for 4th Grade as a supplemental resource; it has plenty of instructional content, but there's minimal feedback. Teacher support is highly recommended, especially for students who are just learning the concepts. Introduce a topic by having students work through a few activities on their own, and ask them to record their quiz scores so they can track their learning progress. Discuss the activities as a class, and have students revisit the activities after they're more comfortable with the concepts. Have students try the quizzes again and compare the scores to their previous attempts. Use the Problem Solving Themes chapter throughout the year to challenge students to think critically and apply their skills to real-world problems.Continue reading Show less
Mathventure for 4th Grade is an e-book series of math lessons organized into four chapters: Problem Solving Themes, Operations and Algebraic Thinking, Fractions, and Geometry and Measurement. The Problem Solving Themes chapter includes five themes, with several problems for each theme. Let's Celebrate has four party-themed problems that cover a variety of fourth-grade skills. The other three chapters include several activities with animations, audio-supported learning extensions, and follow-up quizzes.
There's a lot to learn in Mathventure for 4th Grade. Students can practice a range of math skills, and the lessons align to several (but not all) Common Core State Standards. There's nice support built in, too: As students move through the chapter activities, they can click on a button to learn more about the concept, and a "learn more" option includes audio instruction and animations. Plus, some of the activities allow students to enter answers or partial solutions, making for some nice interactivity.
Many activities don't provide students with an opportunity to actually solve problems until they get to the quizzes, however. The quizzes are scored, but hints and detailed feedback aren't provided, and scores can't be saved. As it is, this is a pretty passive learning experience.
Key Standards Supported
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
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.
Measurement And Data
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
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.
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
Operations And Algebraic Thinking
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.1
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
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.
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