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Arizona Math Standards - 1st Grade
MathScore aligns to the Arizona Math Standards for 1st Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Arizona Math Standards at other levels.
Number Sense and Operations
C1 Number Sense1. Make a model to represent a given whole number 0 through 100.
2. Identify a whole number represented by a model with a word name and symbol 0 through 100. (Counting Squares )
3. Count aloud, forward or backward, in consecutive order (0 through 100).
4. Identify whole numbers through 100 in or out of order.
5. Write whole numbers through 100 in or out of order.
6. Construct equivalent forms of whole numbers, using manipulatives or symbols, through 99 (e.g., 15 + 5 = 10 + 10).
7. State verbally whole numbers, through 100, using correct place value (e.g., A student will read 84 as eight tens and four ones.).
8. Construct models to represent place value concepts for the one's and ten's places.
9. Apply expanded notation to model place value through 99 (e.g., 37 = 3 groups of ten + 7 units). (Place Value to 1000 )
10. Identify odd and even whole numbers through 100. (Odd or Even )
11. Compare two whole numbers through 100. (Number Comparison )
12. Use ordinal numbers through tenth.
13. Order three or more whole numbers through 100 (least to greatest or greatest to least). (Order Numbers to 1000 )
14. Make models that represent given fractions (halves).
15. Identify in symbols and in words a model that is divided into equal fractional parts (halves).
16. Identify money by name and value: penny, nickel, dime, quarter, and one dollar. (Counting Money )
17. Count money through $1.00 using coins. (Making Change 2 , Counting Money )
18. Identify the value of a collection of coins using the symbols ¢ and $. (Counting Money )
C2 Numerical Operations
1. Demonstrate the process of addition through sums of 20 using manipulatives.
2. Demonstrate the process of subtraction with minuends of 20 using manipulatives.
3. State addition facts for sums through 18 and subtraction for differences with minuends through 9 or less. (Fast Addition , Fast Addition Reverse , Fast Subtraction )
4. Add one- and two-digit whole numbers without regrouping. (Long Addition to 1000 , Basic Addition to 1000 )
5. Subtract one- and two-digit whole numbers without regrouping. (Basic Subtraction to 1000 , Long Subtraction to 1000 )
6. Select the grade-level appropriate operation to solve word problems.
7. Solve word problems using addition and subtraction of 2-digit numbers without regrouping. (Basic Word Problems )
8. Count by multiples to show the process of multiplication (10s, 5s, or 2s). (Skip Counting )
9. Demonstrate families of equations for addition and subtraction through 18. (Inverse Equations 1 )
10. Demonstrate the identity and commutative properties of addition through 18. (Commutative Property 1 )
11. Identify addition and subtraction as inverse operations. (Inverse Equations 1 )
12. Apply the symbols: +, -, =.
13. Use grade-level appropriate mathematical terminology.
14. Demonstrate addition of fractions with like denominators (halves) using models.
15. Demonstrate subtraction of fractions with like denominators (halves) using models.
16. Add and subtract money without regrouping using manipulatives and paper and pencil, through 99¢. (Making Change )
C3 Estimation
1. Solve problems using a variety of mental computations and reasonable estimation.
2. Estimate the measurement of an object using U.S. customary standard and non-standard units of measurement.
Data Analysis, Probability, and Discrete Mathematics
C1 Data Analysis (Statistics)1. Formulate questions to collect data in contextual situations.
2. Make a simple pictograph or tally chart with appropriate labels from organized data.
3. Interpret pictographs using terms such as most, least, equal, more than, less than, and greatest. (Tally and Pictographs )
4. Answer questions about pictographs using terms such as most, least, equal, more than, less than, and greatest. (Tally and Pictographs )
5. Formulate questions based on graphs, charts, and tables.
6. Solve problems using graphs, charts, and tables. (Tally and Pictographs )
C2 Probability
C3 Discrete Mathematics - Systematic Listing and Counting
1. Make arrangements that represent the number of combinations that can be formed by pairing items taken from 2 sets, using manipulatives (e.g., How many ice cream cones can one make with 2 different types of ice cream and 2 different types of cones?).
C4 Vertex-Edge Graphs
1. Color pictures with the least number of colors so that no common edges share the same color (increased complexity throughout grade levels).
Patterns, Algebra, and Functions
C1 Patterns1. Communicate a grade-level appropriate pattern (e.g., ♦,∇,♥ Repeat this complete pattern.)
2. Extend a simple grade-level appropriate repetitive pattern (e.g., ↑, ↓, ↑, ↓, ↑, ___, ___, ___ ). (Patterns: Shapes )
3. Create grade-level appropriate patterns.
C2 Functions and Relationships
C3 Algebraic Representations
1. Use variables in contextual situations.
2. Find the missing sum or difference in number sentences for sums and minuends through 9 (e.g., 2 + 5 = _ ). (Missing Term )
C4 Analysis of Change
1. Identify the change in a variable over time (e.g., an object gets taller, colder, heavier, etc.). (Line Graphs )
2. Make simple predictions based on a variable (e.g., select next stage of plant growth). (Line Graphs )
Geometry and Measurement
C1 Geometric Properties1. Use the words vertex and side when describing simple 2-dimensional geometric shapes.
2. Identify 2-dimensional shapes by attribute (size, shape, number of sides, vertices).
3. Use concepts and terms of position and size in contextual situations:
4. Name common 2-dimensional shapes (square, rectangle, triangle, circle). (Geometric Shapes )
5. Draw 2-dimensional shapes (square, rectangle, triangle, circle).
6. Recognize where a line of symmetry divides a 2-dimensional shape into mirror images.
C2 Transformation of Shapes
1. Recognize same shape in different positions (slide/translations).
C3 Coordinate Geometry
C4 Measurement - Units of Measure - Geometric Objects
1. Compare the measurable characteristics of two objects (e.g., length, weight, size).
2. Select the appropriate measure of accuracy:
• length - inches, feet
• capacity/volume - cups, gallons, and,
• mass/weight - pounds.
3. Tell time to the hour using analog and digital clocks. (Telling Time )
4. Name the days of the week for yesterday, today, and tomorrow (e.g., If today is Wednesday, what day will it be tomorrow?).
5. Name the 12 months of the year in proper order, starting with January.
6. Name the 7 days of the week in proper order, starting with Sunday.
7. Measure a given object using the appropriate unit of measure:
• length - inches, feet and yards,
• capacity/volume - cups, gallons, and
• mass/weight - pounds.
Structure and Logic
C1 Algorithms and Algorithmic Thinking1. Create problems based on contextual situations (addition facts up to 18 and subtraction from 9).
C2 Logic, Reasoning, Arguments, and Mathematical Proof
1. List the quantitative components found in word problems.
2. Provide rationale for classifying objects according to observable attributes (color, size, shape, weight, etc.).
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