Understanding numbers up to 1,000
Reading and writing numbers in standard and word form
Place value of digits (hundreds, tens, ones)
Comparing and ordering numbers
Even and odd numbers
Skip counting by 2s, 5s, 10s, and 100s
Adding and subtracting 2- and 3-digit numbers without and with regrouping
Using number lines to add and subtract
Mental math strategies for addition and subtraction
Solving word problems involving addition and subtraction
Explanation: Multiplication is a way to quickly add equal groups. For example, if you have 3 groups of 4 apples, instead of adding 4 + 4 + 4, you can multiply 3 × 4. Arrays and grouping objects help children visualize multiplication. Skip counting is a helpful strategy to build fluency with multiplication facts.
Understanding multiplication as repeated addition and grouping (introduction)
Recognizing and creating equal groups
Using arrays to represent multiplication
Simple skip counting (by 2s, 5s, 10s)
Explanation: Division is the process of sharing or grouping a number into equal parts. It's the opposite of multiplication. When students use drawings, objects, or visual groups, they build a clear understanding of how division works.
Understanding division as sharing equally (introduction)
Using objects and drawings to divide into equal groups
Explanation: Place value helps us understand the value of each digit in a number. Patterns help students predict and identify relationships between numbers. Comparing numbers with symbols like >, <, and = builds number sense and logic skills.
Counting forward and backward within 1,000
Identifying and extending number patterns
Comparing numbers using >, <, =
Explanation: Measurement involves understanding and using tools to determine length, weight, volume, and time. It helps students relate math to real-world experiences like using a ruler or reading a clock.
Measuring length using standard units (inches, feet, centimeters, meters)
Understanding weight and capacity concepts (heavier, lighter, full, empty)
Telling time to the nearest 5 minutes on analog and digital clocks
Understanding concepts of calendar (days, weeks, months, seasons)
Using tools to measure (ruler, scale)
Explanation: Geometry helps students recognize and describe shapes and their properties. Understanding symmetry, sides, and vertices supports spatial reasoning and early geometry skills.
Identifying and naming 2D shapes (circle, square, rectangle, triangle)
Recognizing 3D shapes (cube, sphere, cylinder, cone)
Understanding attributes of shapes (number of sides, vertices)
Introduction to symmetry (identifying lines of symmetry)
Explanation: Data and graphing skills help students learn to collect, organize, and interpret information. Graphs provide a visual way to understand data.
Collecting and organizing data
Reading and interpreting simple bar graphs and pictographs
Creating basic bar graphs and pictographs
Explanation: Understanding money is essential for everyday life. Students learn to identify coins and bills, count amounts, and solve simple word problems involving money.
Recognizing and counting coins (pennies, nickels, dimes, quarters)
Simple addition of coins to find total amounts
Understanding the value of bills (1, 5, 10 dollars)
Solving simple money-related word problems