Content Category: Engineering

<h3><strong>CCSS (Common Core State Standards)</strong></h3> <em>The <a href="http://www.corestandards.org/" target="_blank" rel="noopener">Common Core</a> is a set of high-quality academic standards in mathematics and English language arts/literacy (ELA). </em> <h3><span style="font-weight: 400">Measurement & Data</span></h3> <ul> <li><strong>Grades K-2</strong> <ul> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.K.MD.A.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.1.MD.A.1 Order three objects by length; compare the lengths of two objects indirectly by using a third object.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.1.MD.A.2 Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.2.MD.A.1 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.2.MD.A.2 Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.2.MD.A.3 Estimate lengths using units of inches, feet, centimeters, and meters.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.2.MD.A.4 Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.</span></li> </ul> </li> <li><strong>Grades 3-5</strong> <ul> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.3.MD.B.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.4.MD.A.1 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.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.4.MD.C.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.5.MD.C.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement.</span></li> </ul> </li> </ul> <h3><span style="font-weight: 400">Ratios & Proportional Relationships</span></h3> <ul> <li><strong>Middle School</strong> <ul> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.</span></li> <li style="font-weight: 400"><span style="font-weight: 400">CCSS.MATH.CONTENT.7.RP.A.2 Recognize and represent proportional relationships between quantities.</span></li> </ul> </li> </ul>