enVision Mathematics Topics 14-15
1st Grade; April – May (6 weeks); 3rd Trimester
enVision Mathematics Topics 14-15
1st Grade; April – May (6 weeks); 3rd Trimester
Topic Title(s):
Reason with Shapes and Their Attributes (Topic 14)
Equal Shares of Circles and Rectangles (Topic 15)
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
MP2. Reason abstractly and quantitatively.
MP3. Construct viable arguments and critique the reasoning of others.
MP7. Look for and make use of structure.
Standard(s):
4. Geometry
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
1.G.A. Geometry: Reason with shapes and their attributes.
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. (CCSS: 1.G.A.1)
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names, such as “right rectangular prisms.”) (CCSS: 1.G.A.2)
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. (CCSS: 1.G.A.3)
Demonstrate flexibility, imagination, and inventiveness in composing two-dimensional and three-dimensional shapes to create composite shapes. (Entrepreneurial Skills: Risk Taking)
Sort, classify, build, or draw shapes in terms of defining attributes versus non-defining attributes. (MP1)
Determine how to partition a given circle or rectangle into two and four equal shares and describe the whole in terms of equal shares. (MP2)
Justify whether a shape belongs in a given category by differentiating between defining attributes and non-defining attributes. (MP3)
Analyze how composite shapes can be formed by, or decomposed into, basic shapes. (MP7)
Inquiry Questions
Which properties of shapes are most important when you decide if a shape belongs in a group with other shapes?
What kinds of objects can you find in your school or home that are made up of two or more different shapes being put together?
In how many different ways can you create two or four equal shares in a rectangle?
Coherence Connections
This expectation is in addition to the major work of the grade.
In kindergarten, students identify, describe, analyze, compare, create, and compose shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
In Grade 2, students recognize and draw shapes having specified attributes and partition circles and rectangles into two, three, or four equal shares. In Grade 3, students develop understanding of fractions as numbers.
Academic Vocabulary & Language Expectations:
2-D shapes, sides, vertices, edges, faces, flat surface, rectangular prism, three-dimensional (3-D) shapes, equal shares, halves, fourths, quarters
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topics 14-15
Additional enVision Mathematics Resources
Let's Investigate! Animal Cards (TE) (supports Lessons 14-1, 14-2, 14-3)
Let's Investigate! Four-Color Flags (TE) (supports Lessons 15-2, 15-3)
3-Act Math Recording Sheets (Topic 15)
Additional Math Games: Geometry (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: None since this Unit Plan is in addition to the major work of the grade
Coherence Map/Concept Progressions: 1.G.A.1