Primary Standards:
MAFS.K.MD.1.1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.
MAFS.K.MD.1.2Directly compare two objects with a measurable attribute in common, to see which object has “more of”/“less of” the attribute and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter.
MAFS.K.MD.1.a 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. Limit to context where the object being measured is spanned by a whole number of length units with no gaps or overlaps.
Connecting Standards:
MAFS.K.CC.2.5 Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in scattered configuration; given a number from 1-20, count out that many objects.
Content Knowledge:
There are two different types of reasoning about measurable attributes; Non-measurement reasoning, which does not use numbers and Measurement reasoning, which uses numbers to indicate how many units are “contained” in an object. Non-measurement reasoning can include visual, holistic and direct or indirect comparisons. Measurement reasoning includes not only determining a constant unit, but also reasoning numerically about the count of these units.
Typically, students develop Non-measurement concepts before Measurement strategies. This is mirrored in this Unit as students will directly compare objects first, such as by laying them side-by-side to determine which is longer/shorter. After directly comparing, students will then use iteration (repeating the same object) of a unit and counting the number of constant units it takes to equal the length of an object.
GCG 1 – Learning Goal: As a Mathematician, I will be able to measure and compare length and height
- Step 1: Students can compare the length/height of different objects by aligning endpoints and using vocabulary to describe measurable attributes shorter/taller/longer
- Step 2: Students can align endpoints of non-standard units to measure objects
- Step 3: Students can use non-standard units to measure and describe two objects to determine which is shorter/longer/taller
GCG 2 – Learning Goal: As a Mathematician, I will be able to estimate and compare weight
- Step 1: Students can hold two objects to determine which is heavier or lighter
- Step 2: Students can use a balance scale to compare weights
- Step 3: Students can describe the comparison of the objects using measurable attributes
GCG 3 – Learning Goal: As a Mathematician, I will be able to estimate and compare capacity