4th grade
- Visualizes numbers up to 100 000 with emphasis on numbers 10 001 – 100 000.
- Gives the place value and value of a digit in numbers up to 100 000.
- Reads and writes numbers up to hundred thousand in symbols and in words.
- Rounds numbers to the nearest thousand and ten thousand.
- Compares numbers up to 100 000 using relation symbols.
- Orders numbers up to 100 000 in increasing or decreasing order.
- Multiplies numbers up to 3-digit numbers by up to 2-digit numbers without or with regrouping.
- Estimates the products of 3- to 4-digit numbers by 2- to 3- digit numbers with reasonable results.
- Multiplies mentally 2-digit by 1-to 2-digit numbers with products up to 200 and explains the strategies used.
- Solves routine and nonroutine problems involving multiplication of whole numbers including money using appropriate problem solving strategies and tools.
- Solves multi-step routine and non-routine problems involving multiplication and addition or subtraction using appropriate problem solving strategies and tools.
- Creates problems(with reasonable answers) involving multiplication or with addition or subtraction of whole numbers including money
- Divides 3- to 4-digit numbers by 1-to 2-digit numbers without and with remainder.
- Divides 3- to 4-digit numbers by tens or hundreds or by 1000 without and with remainder.
- Estimates the quotient of 3- to 4-digit dividends by 1- to 2- digit divisors with reasonable results.
- Divides mentally 2- to 3-digit numbers by 1-digit numbers without remainder using appropriate strategies.
- Solves routine and non-routine problems involving division of 3- to 4-digit numbers by 1- to 2-digit numbers including money using appropriate problem solving strategies and tools.
- Solves multi-step routine and non-routine problems involving division and any of the other operations of whole numbers including money using appropriate problem solving strategies and tools.
- Creates problems involving division without or with any other operations of whole numbers including money, with reasonable answers
- Identifies factors of a given number up to 100.
- Identifies the multiples of a given number up to 100.
- Differentiates prime from composite numbers.
- Finds the common factors and the greatest common factor (GCF) of two numbers using the following methods: listing, prime factorization, and continuous division.
- Finds the common multiples and least common multiple (LCM) of two numbers using the following methods: listing, prime factorization, and continuous division.
- Solves real-life problems involving GCF and LCM of 2 given numbers
- Creates problems with reasonable answers involving GCF and LCM of 2 given numbers.
- Identifies proper fractions, improper fractions, and mixed numbers.
- Changes improper fraction to mixed numbers and vice versa.
- Changes fractions to lowest forms.
- Visualizes addition and subtraction of similar fractions.
- Visualizes subtraction of a fraction from a whole number.
- Visualizes addition and subtraction of dissimilar fractions.
- Performs addition and subtraction of similar and dissimilar fractions.
- Solves routine and nonroutine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools.
- Creates problems(with reasonable answers) involving addition and/or subtraction of fractions.
- Visualizes decimal numbers using models like blocks, grids, number lines and money to show the relationship to fractions.
- Renames decimal numbers to fractions, and fractions whose denominators are factors of 10 and 100 to decimals.
- Gives the place value and the value of a digit of a given decimal number through hundredths.
- Reads and writes decimal numbers through hundredths.
- Rounds decimal numbers to the nearest whole number and tenth.
- Compares and arranges decimal numbers.
- Describes and illustrates parallel, intersecting, and perpendicular lines.
- Draws perpendicular and parallel lines using a ruler and a set square.
- Describes and illustrates different angles (right, acute, and obtuse) using models.
- Describes the attributes/properties of triangles and quadrilaterals using concrete objects or models.
- Identifies and describes triangles according to sides and angles.
- Identifies and describes the different kinds of quadrilaterals: square, rectangle, parallelogram, trapezoid, and rhombus.
- Relates triangles to quadrilaterals
- Relates one quadrilateral to another quadrilateral (e.g. square to rhombus).
- Finds the elapsed time in minutes and seconds.
- Estimates the duration of time in minutes.
- Solves problems involving elapsed time.
- Visualizes the perimeter of any given plane figure in different situations.
- Measures the perimeter of any given figure using appropriate tools.
- Derives the formula for perimeter of any given figure perimeter of any given figure.
- Finds the perimeter of triangles, squares, rectangles, parallelograms, and trapezoids.
- Solves routine and nonroutine problems in real-life situations involving perimeter of squares and rectangles, triangles, parallelograms, and trapezoids.
- Differentiates perimeter from area.
- Converts sq. cm to sq. m and vice versa.
11
Area- Finds the area of irregular figures made up of squares and rectangles using sq. cm and sq. m.
- Estimates the area of irregular plane figures made up of squares and rectangles.
- Estimates the area of triangles, parallelograms, and trapezoids
- Solves routine and non-routine problems involving squares, rectangles, triangles, parallelograms, and trapezoids.
- Creates problems(with reasonable answers) involving perimeter and area involving squares, rectangles, triangles, parallelograms, and trapezoids
12
Volume- Visualizes the volume of solid figures in different situations using non-standard (e.g. marbles, etc.) and standard units.
- Derives the formula for the volume of rectangular prisms.
- Finds the volume of a rectangular prism using cu. cm and cu. m.
- Solves routine and non-routine problems involving the volume of a rectangular prism.
- Creates problems(with reasonable answers) involving volume of rectangular prism.
- Collects data on two variables using any source.
- Organizes data in tabular form and presents them in a single/double horizontal or vertical bar graph.
- Interprets data presented in different kinds of bar graphs (vertical/horizontal, single/double bars).
- Solves routine and non-routine problems using data presented in a single or double-bar graph.
- Draws inferences based on data presented in a double- bar graph
- Records favorable outcomes in a simple experiment (e.g. tossing a coin, spinning a wheel, etc.)
- Expresses the outcome in a simple experiment in words, symbols, tables, or graphs.
- Explains the outcomes in an experiment.
- Solves routine and nonroutine problems involving a simple experiment.
- Creates problems involving asimple experiment.