### Topic-related math worksheets for 3rd grade (age 8+)

These topic-targeted worksheets are extremely helpful in addition to the main series “Mathematics & Mental Arithmetic”.

You can use them together with any part of the “Mathematics & Mental Arithmetic” series or separately to improve the child’s skills in the chosen topic.

Also, these targeted worksheets help repeat and consolidate acquired skills after the child finishes the main book series and prepare them for a smooth transition to the next level.

Math Country

# 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.

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.
• 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.

### Math Workbooks for 3rd graders (age 8+)

This is great instructional material for 3rd-grade math lesson plans. We have already organized all the materials and problems. Simply follow the instructions.

Classical series of workbooks in seven parts.

Overall, the “Mathematics and Mental Arithmetic” workbooks provide an excellent resource for educators and parents who want to guide children through a structured and proven math curriculum step-by-step.

For educators and parents who prefer a more traditional approach to teaching math, the “Mathematics and Mental Arithmetic” workbooks offer a comprehensive curriculum designed specifically for 8-year-olds. The series covers all essential topics at this age level, with each workbook divided into individual lessons accompanied by corresponding homework assignments.

The workbooks are structured to gradually increase in difficulty, starting with the most basic concepts and building upon them as the child progresses. This approach allows children to develop their math skills incrementally without feeling overwhelmed or frustrated by overly complex material.

### Our workbooks

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