What Do They Learn in Math?

curriculum sneak peek

CURRICULUM SNEAK PEAK

2/16/20253 min read

What Do They Learn in Math?

Math in elementary school provides children with essential skills in problem-solving, logical thinking, and pattern recognition. These foundational skills support their ability to understand more complex concepts in future grades and apply math to real-life situations.

Here's a breakdown of a basic math curriculum for early elementary grades.

Kindergarten

Focus: Building foundational number concepts, simple counting, and recognition.

  • Numbers & Counting:

    • Recognize and write numbers 0-20.

    • Understand the concept of more, less, and equal.

  • Shapes & Geometry:

    • Identify basic shapes (circle, square, triangle).

    • Explore spatial relationships (up, down, beside, near).

  • Measurement:

    • Understand basic comparisons like bigger/smaller, taller/shorter, heavier/lighter.

    • Introduce basic time concepts (morning, afternoon).

  • Patterns:

Pre-1A

Focus: Number sense, basic operations, shapes, and measurements.

  • Numbers & Counting:

    • Recognize numbers 0-10.

    • Count objects (up to 10) and match the number with the quantity.

    • Understand the concept of "more" and "less."

    • Compare numbers (greater than, less than, equal to).

    • Skip counting by 2s, 5s, and 10s.

  • Patterns:

    • Recognize, create, and extend simple patterns (e.g., red, blue, red, blue).

  • Shapes & Geometry:

    • Identify and describe 2D shapes (circle, square, triangle, rectangle) and 3D shapes (sphere, cube, cylinder).

    • Understand positional words (in, out, above, below, next to).

  • Basic Measurement:

    • Measure length using nonstandard units (e.g., paperclips, blocks).

    • Understand concepts of time (morning, afternoon, night) and basic time (minutes, hours).

  • Addition & Subtraction:

    • Understand addition and subtraction by combining and separating sets.

    • Solve simple addition and subtraction problems (e.g., 3 + 2 = 5).

      activities( LInk to basic addition games)

1st Grade

Focus: Building on basic arithmetic, exploring place value, and introducing addition and subtraction strategies.

  • Numbers & Place Value:

    • Count to 120, starting at any number.

    • Understand the place value of digits (ones, tens).

    • Read and write numbers up to 100.

    • Compare two-digit numbers (greater than, less than, equal to).

  • Addition & Subtraction:

    • Add and subtract within 20, using strategies like counting on and making tens.

    • Solve word problems involving addition and subtraction within 20.

  • Measurement & Data:

    • Measure lengths using nonstandard units (e.g., paper clips, cubes).

    • Tell and write time to the hour and half hour.

    • Collect, organize, and interpret simple data (using tallies or bar graphs).

  • Geometry:

    • Identify and describe 2D shapes (circle, square, triangle, rectangle, hexagon).

    • Identify solid shapes (cube, cone, sphere, cylinder).

    • Understand symmetry.

      activities (link to word problem sheet and problem scene book)

2nd Grade

Focus: Developing fluency with addition and subtraction, understanding place value, and introducing multiplication concepts.

  • Numbers & Place Value:

    • Count and skip count by 2s, 5s, 10s, and 100s.

    • Understand place value up to 1000 (ones, tens, hundreds).

    • Compare and order numbers up to 1000.

    • Round numbers to the nearest ten or hundred.

  • Addition & Subtraction:

    • Add and subtract within 100 (including two-digit numbers).

    • Solve word problems involving addition and subtraction within 100.

    • Introduce the concept of fact families and strategies for solving problems.

  • Multiplication (Intro):

    • Begin learning the concept of multiplication as repeated addition.

    • Understand and solve multiplication problems with numbers 2, 5, and 10.

  • Measurement & Data:

    • Measure lengths using rulers (inches and centimeters).

    • Tell time to the nearest 5 minutes.

    • Solve problems involving money (understanding coins and their values).

    • Interpret bar graphs and picture graphs.

  • Geometry:

    • Recognize and draw 2D shapes and understand their properties (number of sides, vertices).

    • Understand basic symmetry and partition shapes into equal parts.

      activities(link money games post)

3rd Grade

Focus: Strengthening addition, subtraction, and multiplication skills, exploring fractions, and introducing division.

  • Numbers & Place Value:

    • Understand place value up to 10,000.

    • Compare and round numbers to the nearest ten, hundred, and thousand.

    • Use place value to add and subtract larger numbers.

  • Addition, Subtraction & Multiplication:

    • Add and subtract within 1000.

    • Master multiplication facts up to 10x10.

    • Begin to use the distributive property to multiply (e.g., 4 x 6 = (4 x 3) + (4 x 3)).

  • Division (Intro):

    • Learn basic division as the inverse of multiplication.

    • Solve simple division problems (within 100).

  • Fractions:

    • Understand fractions as part of a whole (e.g., 1/2, 1/3, 1/4).

    • Identify and create simple equivalent fractions (e.g., 2/4 = 1/2).

    • Compare and order fractions with the same denominator.

  • Measurement & Data:

    • Measure length in both inches and centimeters.

    • Tell and write time to the nearest minute.

    • Solve problems involving money (making change, using coins and bills).

    • Interpret data from bar graphs and line plots.

  • Geometry:

    • Understand the properties of 2D shapes (parallel sides, angles).

    • Identify and classify quadrilaterals (squares, rectangles, parallelograms).

    • Explore the perimeter and area of simple shapes (rectangles).

    activities:(link to place value game ideas)

Overview:

  • Kindergarten: Counting, simple addition and subtraction, basic shapes, and measurement.

  • Pre-1A: Basic number recognition, simple counting, patterns, and understanding shapes.

  • 1st Grade: Number sense, addition and subtraction within 20, basic geometry, and simple data.

  • 2nd Grade: Place value, addition/subtraction within 100, introductory multiplication, basic measurement and fractions.

  • 3rd Grade: Place value up to 10,000, multiplication, division, fractions, and more complex geometry.

This curriculum builds a strong foundation for mathematical thinking, focusing on problem-solving and reasoning skills.