In the section “Numbers and quantities” students learn to:
- read, write, compare, and order numbers from zero to a million.
- establish a pattern i.e., discover a rule a numerical sequence is composed with, make a number sequence according to a given or independently chosen rule (increase/decrease a number by several units, multiply/divide a number).
- group numbers according to a given or independently established attribute
- read, write down, and compare quantities (mass, time, length, area, speed), using the fundamental units of measurement and the ratio between them: kilograms — grams; hours — minutes — seconds; kilometers — meters — decimeters — centimeters — millimeters.
- classify numbers.
- choose a unit for measuring a given quantity (length, mass, area, time), explain the choice.
In the section “Arithmetic Operations” students learn to:
• write and perform operations with multi-digit numbers: addition, subtraction, multiplication, and division (including a long division), implement modified algorithms to record arithmetic operations with multi-digit numbers, including division with a remainder.
• mentally add, subtract, multiply, and divide one, two, or three-digit numbers, including numbers 0 and 1.
• select an unknown component of an arithmetic expression and find its value.
• calculate the value of a numeric expression (containing 2-3 arithmetic operations, with and without brackets).
• perform actions with measurements.
• use the arithmetic properties to perform convenient calculations.
• check the accuracy of calculations (using the reverse action, estimation, evaluation, etc.).
In the section “Solving word problems” students learn to:
• analyze the problem, establish relationships between values, establish a relationship between a condition and a question, determine the number and order of actions to solve the problem, choose and explain the choice of actions.
• resolve problems related to ordinary life operating arithmetical operations (in 1-2 steps problems).
• evaluate and check and answer.
• obtain a share of a quantity and find a quantity by the value of its share (half, third, quarter, fifth, tenth).
• solve 3-4 steps problems.
• find different ways to solve a problem.
In the section “Spatial Relations” students learn to:
• describe the mutual arrangement of objects in space and on a plane.
• recognize, name, depict geometric shapes (point, segment, polyline, right angle, polygon, triangle, rectangle, square, circle, circle).
• build geometric shapes with specified dimensions (segment, square, rectangle) using a ruler and a square.
• use the properties of a rectangle and a square to solve problems.
• recognize and name 3D shapes (cube, ball, prism, pyramid, cylinder, cone).
• correlate real objects with models of geometric shapes.
In the section “Geometry” students learn to:
• measure the length of a segment.
• calculate a perimeter of a triangle, a rectangle, and a square; find an area of a rectangle and a square.
• evaluate the dimensions of geometric objects, evaluate an approximate distance.
• find a perimeter of a polygon, the area of a shape made up of rectangles.
In addition, working with information students learn to:
• establish a true or false statement about numbers, quantities, geometric shapes.
• read and fill data tables.
• read, complete, and make bar graphs.
• read pie charts
• compare and generalize the information presented by tables, graphs, and diagrams.
• recognize expressions containing logical connectives and words “… and …”, “if… then…”, “true/not true”, “that…”, “each”, “all”, “some”, etc.).
• compose, write down and execute an instruction, simple algorithm, or an information search plan.
• recognize the same information presented in alternative forms (tables and diagrams).
• research, collect, and present information in tables or diagrams.
• interpret information obtained in research, explain, compare, and generalize data, draw conclusions and forecasts.