Counting and recognizing numbers
Students learn to count objects, say numbers in order, and match each number to the right amount. They start writing numerals and noticing numbers in everyday life like on doors and clocks.
What does a student learn in
This is the year numbers start to mean something. Students learn to count, recognize how many are in a small group without counting one by one, and use numbers up to 20. They sort shapes, compare sizes, and figure out which group has more. By spring, students can count to 100, write numbers up to 20, and add small numbers like 3 and 2 using fingers or objects.
- Counting to 100
- Adding and subtracting
- Shapes
- Comparing groups
- Writing numbers
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
- 1
- 2
Adding and taking away
Students put small groups together and take some away using fingers, blocks, and drawings. They start to see that a number like 5 can be made from smaller parts, such as 2 and 3.
- 3
Shapes all around us
Students name shapes like circles, squares, triangles, and cubes. They notice these shapes in the world around them and describe what makes each one different, such as the number of sides or corners.
- 4
Measuring and comparing
Students compare objects by length, weight, and size using words like longer, shorter, heavier, and lighter. They line things up to see which is bigger and sort objects into groups.
- 5
Sorting, patterns, and simple graphs
Students collect information about their class and show it in simple picture graphs. They look for patterns in colors, shapes, and numbers, and talk about what happens next.
Mastery Learning Standards
The required skills a student should display by the end of Kindergarten.
K-8 Mathematics
K-8 Mathematics
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Numbers and Operations
Counting, comparing, and working with whole numbers are the focus at this grade. Students learn to recognize quantities, count objects, and understand that numbers represent real amounts.
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Algebraic Concepts
Students practice writing simple math sentences that show how numbers relate, like 3 + 2 = 5 or which group has more. They solve those sentences using numbers and objects they can count and compare.
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Geometry
Students sort and describe shapes like squares, circles, and cubes by looking at their sides, corners, and size. They learn to measure and compare what makes each shape different.
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Measurement and Data
Students sort and count objects, then show the results in a simple chart or picture graph. This is their first look at turning real things they can touch into organized information on paper.
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Probability and Statistics
Students sort simple yes/no questions into "likely" or "unlikely" and look at a chart or picture graph to spot what happens most or least often.
| Standard | Definition | Code |
|---|---|---|
| Numbers and Operations | Counting, comparing, and working with whole numbers are the focus at this grade. Students learn to recognize quantities, count objects, and understand that numbers represent real amounts. | PA-MATH.K8.K.1 |
| Algebraic Concepts | Students practice writing simple math sentences that show how numbers relate, like 3 + 2 = 5 or which group has more. They solve those sentences using numbers and objects they can count and compare. | PA-MATH.K8.K.2 |
| Geometry | Students sort and describe shapes like squares, circles, and cubes by looking at their sides, corners, and size. They learn to measure and compare what makes each shape different. | PA-MATH.K8.K.3 |
| Measurement and Data | Students sort and count objects, then show the results in a simple chart or picture graph. This is their first look at turning real things they can touch into organized information on paper. | PA-MATH.K8.K.4 |
| Probability and Statistics | Students sort simple yes/no questions into "likely" or "unlikely" and look at a chart or picture graph to spot what happens most or least often. | PA-MATH.K8.K.5 |
No state assessments at this grade
Students take their next one in Grade 3.
PSSA Mathematics (Grades 3-8)
PSSA Mathematics is the spring summative math test for grades 3 through 8, aligned to PA Core Math.
- When given:
- spring
- Frequency:
- annual
Common Questions
What math should my child know by the end of the year?
By spring, students should count to 100, count groups of objects up to 20, and write numbers from 0 to 20. They should add and subtract small numbers within 10 and compare which group has more or less. They should also name basic shapes like circles, squares, and triangles.
How can I help my child with counting at home?
Count real things together: stairs, grapes on a plate, cars in the parking lot. Ask questions like how many are left after eating two crackers, or which pile has more. Five minutes a day builds the number sense students need for adding and subtracting later.
How should I sequence the year for the strongest results?
Spend the first months on counting, one-to-one matching, and writing numbers to 20. Move into comparing groups and adding and subtracting within 10 by midyear. Save shapes, measurement, and sorting for stretches between number units so students get a mental break without losing momentum.
Which skills usually need the most reteaching?
Writing numbers 13 through 19 trips up many students because the words and the digits do not match the order they hear. Subtraction within 10 also lags behind addition. Plan short review loops on both throughout the spring rather than one long unit.
Does my child need to memorize addition facts this year?
Not yet. Students should be able to figure out sums and differences within 10 using fingers, counters, or drawings. Speed and memory come later. Right now the goal is understanding what adding and taking away actually mean.
What does mastery of shapes look like at this level?
Students should name circles, squares, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres in any size or orientation. They should also describe shapes using words like sides, corners, flat, and round. Sorting a mixed pile of blocks is a good quick check.
How do I know my child is ready for first grade math?
Ready students count to 100, write numbers to 20 without flipping them, and solve simple word problems like three apples plus two more. They can also compare two small groups and say which has more. If most of that is solid by June, first grade will go well.
What is the best way to practice math at home in ten minutes?
Play with dice, dominoes, or a deck of cards. Roll two dice and add the dots, or flip two cards and ask which is bigger. Board games with spinners and counting spaces do more for early math than worksheets.
How much time should I spend on data and patterns?
Keep it light. A few short units on sorting objects by color or size, making simple bar graphs with stickers, and extending patterns are enough. These topics support number work but should not crowd out counting and operations.