IXL Math - Utah first-grade math standards

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Utah

Skills available for Utah first-grade math standards

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1.1 Students will acquire number sense and perform simple operations with whole numbers.

1.1.1 Represent and use whole numbers up to 100.
1.1.1.a Count, read, and write whole numbers.
1.1.1.b Represent whole numbers using the number line, models, and number sentences.
- Counting and number patterns: Number lines (First grade - A.9)
1.1.1.c Represent whole numbers greater than 10 in groups of tens and ones using objects, pictures, and expanded notation.
- Counting and number patterns: Counting tens and ones - up to 30 (First grade - A.3)
1.1.2 Identify simple relationships among whole numbers up to 100.
1.1.2.a Compare and order sets of objects and numbers using the terms greater than, less than, and equal to when describing the comparisons.
1.1.2.b Make reasonable estimates of the quantitative difference between two sets of objects.
1.1.2.c Identify one more, one less, 10 more, and 10 less than a given number.
- Counting and number patterns: Counting forward and backward (First grade - A.8)
- Counting and number patterns: Hundred chart (First grade - A.10)
1.1.2.d Identify numbers missing from a counting sequence.
- Counting and number patterns: Sequences - count up and down by 1, 2, 3, 5, and 10 (First grade - A.14)
1.1.2.e Represent part-whole relationships using the number line.
- Counting and number patterns: Number lines (First grade - A.9)
1.1.3 Model, describe, and illustrate the meanings of addition and subtraction and use these operations to solve problems.
1.1.3.a Use a variety of models, including objects, length-based models, the number line and the ten frame to describe problem types (i.e., part-whole, combine, separate, compare).
1.1.3.b Use the properties of addition (i.e., commutativity, associativity, identity element) and the mathematical relationship between addition and subtraction to solve problems.
1.1.3.c Compute basic addition facts (up to 10 + 10) and the related subtraction facts using strategies (e.g., 6 + 7 = (6 + 4) + 3 = 10 + 3 = 13).
1.1.3.d Find the sum of three one-digit numbers.
- Addition: Adding three numbers (First grade - B.12)
- Addition: Word problems - adding three numbers (First grade - B.13)

1.2 Students will identify and use number patterns and properties to describe and represent mathematical relationships.

1.2.1 Recognize, describe, and represent patterns with more than one attribute.
1.2.1.a Sort and classify objects using more than one attribute.
- Sorting, ordering, and classifying: Venn diagrams (First grade - Q.1)
1.2.1.b Identify, create, and label repeating patterns using objects, pictures, and symbolic notation.
- Patterns: Describe patterns (First grade - O.2)
1.2.1.c Identify, create, and label growing patterns using objects, pictures, and symbolic notation.
- Patterns: Recognize patterns (First grade - O.1)
1.2.1.d Use patterns to establish skip counting by twos, fives, and tens.
1.2.2 Recognize and represent mathematical relationships using symbols and use number sentences with operational symbols to solve problems.
1.2.2.a Recognize that "=" indicates that the two sides of an equation are expressions of the same number.
- Mixed operations: Which sign makes the number sentence true? (First grade - F.2)
1.2.2.b Recognize that "+" indicates the joining of sets and that "-" indicates the separation of sets.
- Mixed operations: Addition and subtraction - ways to make a number (First grade - F.1)
1.2.2.c Write and solve number sentences from problem situations involving addition and subtraction, using symbolic notation for the missing value (e.g., △+ 4 = 7).
- Addition: Word problems - write the addition sentence (First grade - B.4)
- Subtraction: Word problems - write the subtraction sentence (First grade - D.4)
1.2.2.d Create problem situations from given number sentences involving addition and subtraction.

1.3 Students will understand simple geometry and measurement concepts as well as collect, represent, and draw conclusions from data.

1.3.1 Identify, describe, and create simple geometric figures.
1.3.1.a Name, create, and sort geometric plane figures (i.e., circle, triangle, rectangle, square, trapezoid, rhombus, parallelogram, hexagon).
1.3.1.b Identify geometric plane and solid figures (i.e., circle, triangle, rectangle, square, trapezoid, hexagon, rhombus, parallelogram, cube, sphere, cone) in the students' environment.
- Geometry: Identify 3-dimensional figures (First grade - J.2)
- Geometry: Geometry of everyday objects (First grade - J.3)
1.3.1.c Compose and decompose plane and solid figures (e.g., make two triangles from a square) and describe the part-whole relationships, the attributes of the figures, and how they are different and similar.
1.3.2 Identify measurable attributes of objects and units of measurement, and use appropriate techniques and tools to determine measurements.
1.3.2.a Identify the appropriate tools for measuring length, weight, capacity, temperature, and time.
- Measurement: Read a thermometer (First grade - M.1)
1.3.2.b Measure the length of an object using nonstandard units and count the units using groups of tens and ones.
1.3.2.c Identify the value of a penny, nickel, dime, quarter, and dollar, and determine the value of a set of the same coins that total 25¢ or less (e.g., a set of 5 nickels equals 25¢).
- Money: Money names and values (First grade - N.1)
- Money: Count pennies, nickels, and dimes (First grade - N.2)
1.3.2.d Tell time to the hour and half-hour.
1.3.2.e Name the months of the year and seasons in order, and use a calendar to determine the day of the week and date.
1.3.3 Collect, organize, and represent simple data.
1.3.3.a Collect and represent data using tables, tally marks, pictographs, and bar graphs.
- Data and graphs: Record data with tally charts, picture graphs, tables (First grade - L.1)
- Data and graphs: Which bar graph is correct? (First grade - L.4)
1.3.3.b Describe and interpret data.
- 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)