Learning Mathematics & Mental arithmetic

With our notebooks “Mathematics + Mental Arithmetic with no struggle” your kids will easily master the techniques for quick mental counting, will repeat and remember the multiplication tables, will learn how to multiply in a column, how to find the perimeter and area of a shape, and how to add and subtract three-digit numbers.

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Mathematics & Mental arithmetic (8+ y.o.)

Mathematics & Mental arithmetic (8+ y.o.)

Using our workbooks for 8 years old, students learn and practice utilizing basic mathematical knowledge to describe surrounding objects, processes, phenomena, assess quantitative and spatial relationships; practice the basics of logical and algorithmic thinking, spatial imagination, and mathematical speech, acquire the necessary computational skills; learn to employ mathematical knowledge and ideas to solve problems, gain initial experience in applying mathematical knowledge in ordinary situations.

View all workbooks for kids 8+ y.o.

Students achieve a deep understanding that a number represents a result of counting and measurement, acknowledge the decimal principle of noting numbers; learn to perform verbal and written arithmetic operations with numbers; determine an unknown component of an arithmetic expression; compose a numerical expression and calculate its value; gain experience in solving word problems; get acquainted with geometric shapes; learn, name, recognize and depict geometric shapes; acquire the methods of measuring lengths and areas.

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.

Our workbooks

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While working with tables and diagrams, students acquire important skills for practice-oriented mathematical activities related to the presentation, analysis, and interpretation of data; learn to extract the necessary data from tables and diagrams, fill out forms, explain, compare and summarize information, draw conclusions and forecasts.

Mathematics & Mental arithmetic

Workbooks for 8+ years old “Mathematics & Mental arithmetic”

Part 1

Part 2

Part 3

Part 4

Part 5

Math and mental arithmetic. Summer part 1

Math and mental arithmetic. Summer part 2

Multiplication tables in 12 lessons

Logic workbook

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