Global Concept Guides: Attributes & Analysis
Prior Learning: MA.CC.K.G.1.2, MA.CC.K.G.1.3, MA.CC.K.G.2.4, MA.CC.K.G.2.6, MA.CC.1.G.1.1, MA.CC.1.G.1.2, & MA.CC.1.G.1.3
Students in kindergarten explore shape identification and basic attributes. The learner deepens their geometric understanding in first where students distinguish defining attributes and split whole shapes into halves and fourths.
Show What You Know Task:Teachers should consider a variety of evidence of student learning from Unit 11 to determine specific needs of class or group of students and should modify or refocus this unit of study to benefit the learner’s needs.
Common Core State Standards for Mathematical Content :
Reason with shapes and their attributes.
MA.CC.2.G.1.1 Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.
Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
MA.CC.2.G.1.2 Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
MA.CC.2.G.1.3 Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape. / Comments:
Notes on Assessment:
There is no Go Math chapter test that correlates with this Unit of Study.
See common performance task link below.
Unpacking the Standards for this Unit:General quadrilaterals and pentagons are first introduced in second grade adding to the geometric figures students explored in prior years. Students make sense of spatial quantities and spatial relationships when partitioning shapes. Students need to discover that equal shares of a geometric figure may not always be congruent shapes. Students need to be able to draw models to illustrate rectangle and circles split into halves, thirds, and fourth, but also must be able to communicate about the models in relation to the whole. SMP 3 will be critical to student’s learning within this content.
For additional information about this critical area, check out the Flip Book and Progressions Document.
Common Performance Task with Rubric for this Unit:
Shaping Solutions - Students are presented with scenarios requiring application of spatial reasoning.
Click herefor common performance task and rubric.
Future learning: This critical area strengthens the foundation for the learner to conceptually understand multiplication and fractions introduced in third grade. The learner will also apply the geometric principles gained in this area during exploration of concepts of perimeter, area, volume, and solid figures through the remainder of elementary school. The elementary curriculum provides the structure (SMP 7) for Geometry which will support the learner as they advance their study of Geometry in middle, high school, college, and beyond.
2nd / Global Concept 1 of 1 for this Unit of Study: Attributes & Analysis / Projected Time Allotment: 4 days
Sample Essential Questions:
Day 1: How can attributes facts help me identify and draw or model a shape?
Day 2: How can I split a rectangle into rows and columns of equal sized squares?
Day 3: How can I split up a rectangle to model halves, thirds, and fourths?
Day 4: How can I split up a circle to model halves, thirds, and fourths?
Instructional Resources
Manipulatives:
- Geoboards to model various shapes and various ways to partition rectangles and circles.
- Graphing paper/ dot paper to model various shapes and various ways to partition rectangles
- Pattern blocks
- Color tiles, snap cubes, or unit cubes to model rectangles broken into rows and columns.
- Shapeof Things - Picture of a playground made up of geometric shapes. Student’s task is to identify shapes, draw them in their journal, and record attributes.
- Shape Up - Excursions lesson includes matching cards set of written shape descriptions and visual models.
- What’s My Rule - Set of cards showing various shapes, students sort shapes into groups and then other students attempt to determine the sorting rule.
- Guess My Rule- ETA lesson - Similar to “what’s my rule” activity but incorporates geoboards.
- What is a Quadrilateral- ETA lesson- good reteach for students who did not grasp concept during Unit 11 instruction.
- How Many Squares? - ETA lesson- great enrich challenge for students who have demonstrated mastery of this area.
- Making a Rectangle- Students create a rectangle using 12 color tiles and then see all the different combinations of columns and rows that can be created.
- SharingEqually - Situation question where two students disagree about possible ways to show half of a rectangle, additional rectangle sheets could be used to pose additional word problems involving partitioning rectangles.
- Making Fourths- ETA lesson- provides numerous non-traditional examples of splitting a geoboard into fourths.
- Makinga Cake - Problem solving scenarios where students apply portioning knowledge #1-2 rectangles & #3-4 circles.
Fraction Cookies- Problem solving scenario giving students opportunity to explore and apply partitioning circles.
Sample HOT Questions: Use these to facilitate student discussion. (SMP 1,3)
- (Showing the student a pattern block) what are all the ways you could describe this shape?
- What shape is the tile on our classroom floor? Tony said, “A square.” Zach said, “A rectangle.” Who do you agree with? Why?
- How can you tell the difference between rows and columns?
- How can thinking about a clock help me partition a circle?
Our students are better able to…
- Use geometric language (see list under teacher’s behavior) in conversation and writing when justifying thinking. (SMP 3, 6)
- Determine how to partition a shape into equal sections to model halves, thirds, quarters. (SMP 2)
- See spatial reasoning concepts in environment and everyday life (SMP 4, 7)
- Solve real world problems applying spatial reasoning (SMP 1, 4)
- Provide opportunities for students to communicate (conversation and writing) using accurate vocabulary including: attribute, triangle, quadrilateral, pentagon, hexagon, cube, face, angle, edge, side, vertices (vertex), rectangle, square, trapezoid, flat surface, plane shape, solid figure, polygon, circle, half, third, fourth, and whole (SMP 6)
- Present students with problem solving tasks that require students to partition rectangles and circles. (SMP 1, 2)
- Create opportunities for students to see connections between spatial reasoning in Geometry and the real world, e.g. analog clock’s model of half, tile floor rectangle split into rows and columns model, etc. (SMP 4, 7)