MADISON COUNTY PUBLIC SCHOOLS

District Curriculum Map for Mathematics: Grade 1

Unit Description / Unit 6
Understanding Shapes and Fractions
Suggested Length: 3 weeks
Big Idea(s)
What enduring understandings are essential for application to new situations within or beyond this content? / Enduring Understanding
Reasoning about Attributes of and Composing and composing and decomposing geometric shapes
Enduring Skills Rubric measures competency of the following skills:
·  Distinguish between defining attributes versus non-defining attributes; build and draw shapes to possess defining attributes
·  Can compose two-dimensional and three-dimensional shapes to create a composite shape and compose new shapes from the composite shape.
·  Can partition circles and rectangles into two and four equal shares using the words halves, fourths, and quarters and the phrases half of, fourth of, and quarter of; understand that decomposing a whole shape into equal part creates smaller parts.
Essential Question(s)
What questions will provoke and sustain student engagement while focusing learning? / ·  What are attributes?
·  How can a shape be described?
·  How are shapes alike and different?
·  Why is it important to divide into equal parts?
·  How do we know when parts are equal?
Standards / Standards for Mathematical Practice
1.  Make sense of problems and persevere in solving them.
2.  Reason abstractly and quantitatively.
3.  Construct viable arguments and critique the reasoning of others.
4.  Model with mathematics.
5.  Use appropriate tools strategically.
6.  Attend to precision.
7.  Look for and make use of structure.
8.  Look for and express regularity in repeated reasoning.
Standards for Mathematical Content
1.G.1: 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.
1.G.2: 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.
1.G.3: 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.
Supporting Standard(s)
Which related standards will be incorporated to support and enhance the enduring standards? / K.G.4. Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g, number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).
K.G.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
K.G.6. Compose simple shapes to form larger shapes. For example, “Can you join these? Two triangles with full sides touching to make a rectangle?”
K.MD.1: Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes or a single object.
Instructional Outcomes
What must students learn and be able to do by the end of the unit to demonstrate mastery? / I am learning to….
Geometry
o  Identify defining attributes of shapes
o  Identify non-defining attributes of shapes
o  Distinguish between (compare/contrast) defining and non-defining attributes of shapes
o  Build shapes to show defining attributes
o  Draw shapes to show defining attributes
o  Know that shapes can be composed and decomposed to make new shapes
o  Describe properties of original and composite shapes
o  Determine how the original and created composite shapes are alike and different.
o  Create composite shapes
o  Compose new shapes from a composite shape
o  Identify when shares are equal
o  Identify two and four equal shares
o  Describe equal shares using vocabulary: halves, fourths and quarters, half of, fourth of, and quarter of
o  Describe the whole as two of two or four of four equal shares
o  Justify why dividing, (decomposing) a circle or rectangle into more equal shares creates smaller pieces.
Vocabulary / Essential Vocabulary
Alike
Circle
Closed Shape
Column
Compose
Composite Shape
Cone
Cube
Curved Surface
Cylinder
Decompose
Solid
Sphere
Sort
Square
Unequal Parts
Vertex / Different
Equal Parts
Equal Shares
Face
Flat Surface
Fourth of
Fourths
Half Circle
Half Of
Halves
Hexagon
Three-Dimensional
Trapezoid
Triangle
Two-Dimensional
Unequal Shares
Vertices / Partition
Quarter Circle
Quarter Of
Quarters
Rectangle
Rectangular Prism
Rhombus
Row
Supporting Vocabulary
Resources/Activities
What resources could we use to best teach this unit? / Stepping Stones (www.origoeducation.com)
1.G.1
o  Module 5: Lesson 9, 10, 11
o  Module 10: Lesson 9, 10, 11, 12
1.G.2
o  Module 5: Lesson 12
1.G.3
o  Module 7: Lesson 8, 9, 10, 12
o  Module 9: Lesson 8, 9, 11, 12
K-5 Math Teaching Resources
1.G.1
o  http://www.k-5mathteachingresources.com/support-files/my-2d-shape-book.pdf
o  http://www.k-5mathteachingresources.com/support-files/geoboard-squares.pdf
o  http://www.k-5mathteachingresources.com/support-files/comparing-2d-shapes.pdf
o  http://www.k-5mathteachingresources.com/support-files/comparing-3d-shapes.pdf
1.G.2
o  http://www.k-5mathteachingresources.com/support-files/putting-shapes-together.pdf
o  http://www.k-5mathteachingresources.com/support-files/make-a-hexagon.pdf
o  http://www.k-5mathteachingresources.com/support-files/pattern-block-numbers.pdf
o  http://www.k-5mathteachingresources.com/support-files/pattern-block-triangles.pdf
o  http://www.k-5mathteachingresources.com/support-files/fold-a-square.pdf
o  http://www.k-5mathteachingresources.com/support-files/tangram-squares.pdf
o  http://www.k-5mathteachingresources.com/support-files/shape-patterns.pdf
1.G.3
o  http://www.k-5mathteachingresources.com/support-files/equal-parts-of-a-square.pdf
o  http://www.k-5mathteachingresources.com/support-files/fraction-pictures.pdf
Illustrative Mathematics
1.G.1
o  https://www.illustrativemathematics.org/content-standards/1/G/A/1/tasks/1104
o  https://www.illustrativemathematics.org/content-standards/1/G/A/1/tasks/752
1.G.2
o  https://www.illustrativemathematics.org/content-standards/1/G/A/2/tasks/1164
o  https://www.illustrativemathematics.org/content-standards/1/G/A/2/tasks/1311
o  https://www.illustrativemathematics.org/content-standards/1/G/A/2/tasks/756
o  https://www.illustrativemathematics.org/content-standards/1/G/A/2/tasks/901
1.G.3
None at this time
Remember there are other sources in your school that may not be listed on this common resources list due to variation in each individual school. Examples of other great resources your school may have access to include: Everyday Math Games, Investigations, Everyday Partner Games, AVMR file folders, Ongoing Assessment Project, etc. The Kentucky Numeracy Project is also a great resource that can be searched by AVMR strand, CCSS, and grade level. Find this resource at http://knp.kentuckymathematics.org/#!/page_knphome. Kentucky teachers can use it for free. Just put in your school email address and the username “mathfun”, and password is “859”.

Curriculum and Instruction 2015-2016 Page 1 of 1

Curriculum and Instruction 2015-2016 Page 1 of 1