# Sample Fifth Grade Math Lessons

- Over 1,300 lessons, with millions of paths through the curriculum
- Adaptive: lessons, hints, level of difficulty, pace, sequence, and much more are adapted for each student
- Virtual manipulatives help students solve problems multiple ways
- Standards: Aligned with the Common Core State Standards, TEKS, SOL, WNCP and Ontario Curriculum

*The following demo lessons are currently only compatible on desktop browsers, but the full lesson are available on the Apple iPad app*

**Decimal Numbers to the Thousandths on the Number Line** Play this 5th grade math lesson

In this DreamBox lesson, students learn to locate both positive and negative decimal numbers on a number line. This scrolling number line allows students to “zoom in” and “zoom out” to a specific range on the number line using magnifying glasses that scale the number line by either 10 times or 100 times. In order to deeply understand decimals and place value to the thousandths, students need to understand the relative magnitude of decimal numbers. For example, even though 3 centimeters (cm) and 2.001 cm are both greater than 2 cm, they have very different locations on a number line relative to 2 cm. On a standard ruler, it is easy to see the difference between the mark at 2 cm and the mark at 3 cm. On that same ruler, it is virtually impossible to create a 2.001 cm mark because it is so close to the 2 cm mark. Lessons using this manipulative deepen students' understanding of a rational number as a point on the number line.

**Place Value of Decimal Numbers to the Thousandths** Play this 5th grade math lesson

This DreamBox lesson uses a virtual manipulative called the Decimal Dials to teach base-ten relationships and place value for rational numbers. In this lesson, students are able to adjust a different Dial for each place value: ones, tenths, hundredths, and thousandths. Similar to how the hour hand and minute hand on a clock move in concert, every Dial is linked to the movement of the others. In this particular lesson, one of the Dials is broken. To solve these problems, students need to understand that "a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left" (5.NBT.1).

**Division within 10,000 with Remainders** Play this 5th grade math lesson

This DreamBox lesson helps students understand multidigit division problems through an engaging packing context. Students add a “helper equation” as they build partial quotients to mentally compute an answer. Though students can explore different grouping strategies, they have a limited number of “helper” equations for each problem. Students learn to compute and interpret remainders as well as calculate exact fractional answers such as *1,110 divided by 20 equals 55 1/2.*

**Add & Subtract Decimals with the Number Line** Play this 5th grade math lesson

In this DreamBox lesson, students use an open number line model to solve for an unknown decimal value in equations such as 1.02 + x = 4.06. Students create their own addition or subtraction equations to move along to number line and solve the problem. Students deepen their number sense because they are able to choose an efficient solution strategy based on the numbers in the problem. They can use place value strategies, 'friendly' numbers, or landmark numbers. In this lesson, students not only learn ways to solve for an unknown decimal value in an equation; they also develop flexible thinking, improve the efficiency of their strategies, and strengthen their mental math abilities.

**Multiplying Fractions** Play this 5th grade math lesson

This DreamBox lesson teaches students how to mentally multiply fractions as well as how to represent fraction products as rectangular areas. Our Drop Zone virtual manipulative allows students to divide unit squares into fractional pieces and then find fractional pieces of those pieces. Students connect fraction products with a visual array model to understand scaling and mental strategies for multiplying fractions.

**Multiplication Standard Algorithm** Play this 5th grade math lesson

Through a series of DreamBox lessons, students learn not only to fluently multiply multidigit whole numbers using the standard algorithm, but also how to first estimate products in order to have a sense of whether an answer is reasonable. As with all DreamBox lessons involving standard algorithms, this lesson develops conceptual understanding of the steps involved with place value strategies. Because of these lessons on the multiplication standard algorithm, students are able to estimate large products, execute the algorithm, and explain the steps involved.