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Foundations of Counting
- Know number names and the count sequence.
- Count to tell the number of objects.
- 4 Connect counting to cardinality using a variety of concrete objects.
- 4.a: Say the number names in consecutive order when counting objects.
- 4.b: Indicate that the last number name said tells the number of objects counted in a set.
- 4.c: Indicate that the number of objects in a set is the same regardless of their arrangement or the order in which they were counted.
- 4.d: Explain that each successive number name refers to a quantity that is one larger.
- 5 Count to answer “how many?” questions.
- 4 Connect counting to cardinality using a variety of concrete objects.
- Compare numbers.
- 6 Orally identify whether the number of objects in one group is greater/more than, less/fewer than, or equal/the same as the number of objects in another group, in groups containing up to 10 objects, by using matching, counting, or other strategies.
- 7 Compare two numbers between 0 and 10 presented as written numerals (without using inequality symbols).
Operations and Algebraic Thinking
- Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
- 8 Represent addition and subtraction up to 10 with concrete objects, fingers, pennies, mental images, drawings, claps or other sounds, acting out situations, verbal explanations, expressions, or equations.
- 9 Solve addition and subtraction word problems, and add and subtract within 10, by using concrete objects or drawings to represent the problem.
- 10 Decompose numbers less than or equal to 10 into pairs of smaller numbers in more than one way, by using concrete objects or drawings, and record each decomposition by a drawing or equation.
- 11 For any number from 0 to 10, find the number that makes 10 when added to the given number, by using concrete objects or drawings, and record the answer with a drawing or equation.
- 12 Fluently add and subtract within 5.
- Understand simple patterns.
Operations with Numbers
Data Analysis
Measurement
- Describe and compare measurable attributes.
- 16 Identify and describe measurable attributes (length, weight, height) of a single object using vocabulary such as long/short, heavy/light, or tall/short.
- 17 Directly compare two objects with a measurable attribute in common to see which object has “more of” or “less of” the attribute and describe the difference.
Geometry
- Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
- 18 Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.
- 19 Correctly name shapes regardless of their orientations or overall sizes.
- 20 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).
- Analyze, compare, create, and compose shapes.
- 21 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (number of sides and vertices or “corners”), and other attributes.
- 22 Model shapes in the world by building them from sticks, clay balls, or other components and by drawing them.
- 23 Use simple shapes to compose larger shapes.
