IXL Math - Delaware first-grade math standards

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Delaware

Skills available for Delaware first-grade math standards

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1.1 Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

1.1.1 Number sense
1.1.1.1 Count sets of objects up to 50 by 1s, 2s, 5s, and 10s
1.1.1.2 Connect number words and numbers (up to 50) to the quantities they represent using physical models and representations
1.1.1.3 Sequence numbers and explain which is larger, which is smaller, and what is between other numbers up to 100
1.1.1.4 Compose and decompose numbers up to 20
- Counting and number patterns: Counting tens and ones - up to 30 (First grade - A.3)
1.1.2 Operations
1.1.2.1 Use manipulatives and pictures to model putting together and taking apart numbers up to 20
- Addition: Addition with pictures - sums to 10 (First grade - B.1)
- Subtraction: Subtraction with pictures - numbers up to 10 (First grade - D.1)
1.1.2.2 Write number sentences to represent addition combinations up to 10
1.1.2.3 Use manipulatives and models to demonstrate doubles
- Addition: Adding doubles (First grade - B.8)
- Subtraction: Subtracting doubles (First grade - D.9)
1.1.2.4 Use direct models, manipulatives and pictures to demonstrate joining and separating problems

1.2 Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.

1.2.1 Patterns and change
1.2.1.1 Sort objects by one attribute and then resort by another
- Sorting, ordering, and classifying: Venn diagrams (First grade - Q.1)
1.2.1.2 Describe the rule used to sort a given a set of pre-sorted objects
1.2.1.3 Determine the core of the pattern given a set of objects with multiple repetitions (of a simple pattern)
- Patterns: Describe patterns (First grade - O.2)
1.2.1.4 Describe what changes in a repeating pattern
- Patterns: Recognize patterns (First grade - O.1)
1.2.2 Representations
1.2.2.1 Model situations in which there is a need to join, separate, compare and use part-part-whole: using objects, pictures, geometric models and symbols
1.2.3 Symbols
1.2.3.1 Record mathematical thinking (i.e., invented notation)
- Mixed operations: Which sign makes the number sentence true? (First grade - F.2)
- Mixed operations: Addition and subtraction terms (First grade - F.5)

1.3 Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.

1.3.1 Classification
1.3.1.1 Name and sort plane figures by size and shape
- Geometry: Identify 2-dimensional shapes (First grade - J.1)
- Geometry: Same shape (First grade - J.12)
1.3.1.2 Identify the new shape formed by combining two shapes
1.3.1.3 Recognize and compare attributes and parts of two-dimensional and three-dimensional shapes
1.3.2 Location and transformation
1.3.2.1 Explore symmetry through drawings and use of manipulatives
- Geometry: Symmetry (First grade - J.11)
1.3.2.2 Describe distance in informal terms (e.g., near, far)
1.3.3 Measurement
1.3.3.1 Compare the length of two objects by aligning them
- Measurement: Long and short (Kindergarten - Q.1)
1.3.3.2 Put objects in order according to their length
- Measurement: Tall and short (Kindergarten - Q.2)
1.3.3.3 Compare the weight of two objects using a balance
- Measurement: Light and heavy (Kindergarten - Q.3)
1.3.3.4 Use nonstandard units to represent how long an object is
1.3.3.5 Fill containers using nonstandard units (e.g., water, sand, centimeter cubes)
1.3.3.6 Talk about the days of the week and the days of the month during calendar time
- Time: Days of the week (First grade - R.1)
- Time: Read a calendar (First grade - R.11)
1.3.3.7 Recognize coins
- Money: Money names and values (First grade - N.1)

1.4 Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.

1.4.1 Collect
1.4.1.1 Collect categorical data (observe and count frequencies) to answer a question posed by the teacher
1.4.2 Represent
1.4.2.1 Organize and informally represent categorical data (2 or 3 categories) using drawings or physical objects
1.4.3 Analyze
1.4.3.1 Interpret data by making comparisons between frequencies of categorical data (e.g., how many more)
- Data and graphs: Interpret data in tally charts, picture graphs, tables (First grade - L.2)
- Data and graphs: Interpret bar graphs (First grade - L.3)
1.4.4 Probability
1.4.4.1 Explore events as likely or unlikely, possible or impossible based on shared or personal experience
- Probability and statistics: More, less, and equally likely (First grade - P.1)
- Probability and statistics: Certain, probable, unlikely, and impossible (First grade - P.2)