Chapter 1: Place Value and Number
* Concepts: Thousands, hundreds, tens, ones; counting to 10,000; comparing numbers; rounding to the nearest 10 and 100.
* Example: Students count blocks in groups of 100, 10, and 1 to determine the number 3,724. They round the number 4,567 to the nearest 100, which is 4,600.
Chapter 2: Addition and Subtraction
* Concepts: Addition and subtraction equations; column addition and subtraction; carrying and borrowing; solving word problems.
* Example: Students solve the equation 345 + 678 by adding the hundreds, tens, and ones separately. They work through a column subtraction problem with borrowing, such as 865 - 347.
Chapter 3: Multiplication and Division
* Concepts: Multiplication and division facts; two-digit multiplication; long division; interpreting remainders.
* Example: Students practice multiplication facts up to 12x12 and apply them to solve problems, such as finding the area of a rectangle with a length of 7 and a width of 4. They use long division to divide 456 by 12.
Chapter 4: Measurement: Length, Mass, and Capacity
* Concepts: Units of length (meters, centimeters, inches, feet); units of mass (grams, kilograms, pounds); units of capacity (liters, milliliters, gallons).
* Example: Students measure the length of a pencil in centimeters and inches, compare the weights of two objects in kilograms, and determine the capacity of a container in liters and milliliters.
Chapter 5: Geometry: Shapes and Transformations
* Concepts: Identifying and classifying shapes; measuring angles; transformations (translation, rotation, reflection).
* Example: Students classify a triangle as a plane, three-sided shape with three angles. They measure the angles of a quadrilateral and practice rotating and reflecting shapes on a grid.
Chapter 6: Data Handling: Graphs and Tables
* Concepts: Pictographs, bar graphs, and line graphs; interpreting and presenting data; finding the mean, median, and mode.
* Example: Students collect data on the favorite colors of their classmates and create a bar graph to display the results. They also find the mean (average) number of pets owned by their friends.
Chapter 7: Time and Money
* Concepts: Reading and writing time; converting between different time units; counting and calculating money.
* Example: Students tell time to the nearest minute, convert between hours and minutes, and solve problems involving time differences. They practice counting coins and bills and calculating change from purchases.
Chapter 8: Patterns and Algebra
* Concepts: Identifying and extending patterns; writing algebraic expressions; solving simple algebraic equations.
* Example: Students extend a pattern of numbers by adding 3 each time and write an algebraic expression to represent the pattern. They solve an equation such as x + 5 = 12 to find the value of x.