Tennessee Department of Education

First Grade Math

Numbers and Operations

Content Standard 1.0 The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.

Learning Expectations:

1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

1.2 Understand meanings of operations and how they relate to one another.

1.3 Solve problems, compute fluently, and make reasonable estimates.

Accomplishments

1.1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

  1. count by twos, fives, and tens to 100;
  2. count a group of objects by ones to 100;
  3. count a group of objects by twos, fives, and tens up to 30;
  4. count forward or backward by one beginning with any number less than 100;
  5. recognize the place value of a digit in numbers to 99;
  6. read and write numerals up to 100;
  7. count by tens from any number using a hundred chart;
  8. use manipulatives to model whole numbers to 99 (e.g., base-ten blocks, sticks, straws);
  9. identify odd and even whole numbers to 50;
  10. model halves and fourths of a single object or figure;
  11. model halves and fourths of a set of objects;
  12. match the spoken, written, concrete, and pictorial representations of 1/2 and 1/4;
  13. recognize one whole as two halves or four fourths;
  14. count the value of a set of coins up to fifty cents;
  15. order whole numbers less than 100;
  16. represent numbers in flexible ways using a variety of materials (e.g., 23 as 23 ones, 1 ten and 13 ones, and/or 2 tens and 3 ones);
  17. apply the language of ordinal numbers up to twelfth;
  18. compare two numbers using the appropriate symbol (i.e., <, >, =);
  19. use a number line or hundred grid to determine one more or one less than any number to 50.

1.1.2 Understand meanings of operations and how they relate to one another.

  1. explain the reasonableness of a solution;
  2. solve simple story problems involving addition and subtraction with numbers less than 20;
  3. develop story problems that illustrate basic addition and subtraction facts.

1.1.3 Solve problems, compute fluently, and make reasonable estimates.

  1. use words, actions, pictures, and manipulatives to solve problems;
  2. use pictures or objects, such as ten frames, to show one more or one less than any number to 99;
  3. estimate the number of objects in a group and explain the reasoning for the estimate;
  4. explain and justify solutions and strategies in problem solving;
  5. use a variety of strategies to add and subtract two-digit whole numbers (e.g., counting up or back, taking away, doubles plus one, comparison, number relationships, modeling);
  6. use calculators in problem-solving situations.

Algebra

Content Standard 2.0 The student will understand and generalize patterns as they represent and analyze quantitative relationships and change in a variety ofcontexts and problems using graphs, tables, and equations.

Learning Expectations:

2.1 Sort and classify objects by size, number, and other properties.

2.2 Represent and analyze patterns and functions.

2.3 Use concrete, pictorial, and verbal representations to develop an understanding of the language and symbols of mathematics.

2.4 Illustrate general properties of operations.

2.5 Analyze change in various contexts.

Accomplishments

1.2.1 Sort and classify objects by size, number, and other properties.

  1. sort objects by two attributes;
  2. describe how objects in a group are alike and how they are different.

1.2.2 Represent and analyze patterns and functions.

  1. identify and describe growing patterns found in literature, in the environment, in physical arrangements, and in pictures;
  2. translate a repeating pattern from one medium to another (e.g., red-blue-blue to snap-clap-clap);
  3. create, describe, and extend concrete, visual, auditory, and number patterns;
  4. identify the unit of a two-part repeating pattern.

1.2.3 Use concrete, pictorial, and verbal representations to develop an understanding of the language and symbols of mathematics.

  1. use manipulatives to demonstrate addition and subtraction sentences written symbolically involving numbers 0-20;
  2. communicate and use mathematical terms and symbols appropriately;
  3. interpret and solve simple open addition sentences.

1.2.4 Illustrate general properties of operations.

  1. apply the commutative property of addition.

1.2.5 Analyze change in various contexts.

[no accomplishments for this learning expectation at the first grade level].

Geometry

Content Standard 3.0 The student will develop an understanding of geometric concepts and relationships as the basis for geometric modeling and reasoning to solve problems involving one-, two-, and three-dimensional figures.

Learning Expectations:

3.1 Analyze characteristics and properties of geometric shapes.

3.2 Specify locations and describe spatial relationships.

3.3 Recognize and apply flips, slides, and turns.

Accomplishments

1.3.1 Analyze characteristics and properties of geometric shapes.

  1. recognize basic properties of and similarities and differences between simple geometric figures (e.g., number of sides, corners);
  2. predict and describe the results of putting together and taking apart two- and three-dimensional geometric figures.

1.3.2 Specify locations and describe spatial relationships.

  1. uses directional terms in a variety of situations (e.g., over, under, forward, backward, between, right, left);
  2. apply spatial sense to create a figure from memory;
  3. identify the position of a whole number on the number line.

1.3.3 Recognize and apply flips, slides, and turns.

[no accomplishments for this learning expectation at the first grade level].

Measurement

Content Standard 4.0 The student will become familiar with the units and processes of measurement in order to use a variety of tools, techniques, and formulas to determine and to estimate measurements in mathematical and real-world problems.

Learning Expectations:

4.1 Demonstrate understanding of units of measure and measurable attributes of objects.

4.2 Apply appropriate techniques and tools to determine measurements.

Accomplishments

1.4.1 Demonstrate understanding of units of measure and measurable attributes of objects.

  1. compare and order objects according to length, capacity, and weight;
  2. recognize the need for standard units of measurement.

1.4.2 Apply appropriate techniques and tools to determine measurements.

  1. demonstrate understanding of the concept of length;
  2. measure and estimate length using a variety of non-standard units;
  3. measure to the nearest inch or centimeter;
  4. measure weight to nearest pound or kilogram;
  5. recognize a calendar is a way of measuring time;
  6. describe the relationship between days and months;
  7. read and write time to the hour and half-hour;
  8. compare units of time;
  9. use a thermometer to measure temperature.

Data Analysis

Content Standard 5.0 The student will understand and apply basic statistical and probability concepts in order to organize and analyze data and to make predictions and conjectures.

Learning Expectations:

5.1 Develop, select, and use appropriate methods to collect, organize, display, and analyze data.

5.2 Apply basic concepts of probability.

Accomplishments

1.5.1 Develop, select, and use appropriate methods to collect, organize, display, and analyze data.

  1. represent and interpret data using concrete objects, pictures, pictographs, and bar graphs.

1.5.2 Apply the basic concepts of probability.

  1. describe events related to students’ experiences as likely or unlikely.