Math Workbooks for 4th grade (age 9+)

This workbook series provides excellent instructional material for 4th-grade math lesson plans. We have organized all problems and exercises into lessons with corresponding homework assignments.

Solving mathematical problems leads to improvement of logical thinking, consolidates the interest of children in cognitive activity, and contributes to the development of thinking and intellectual development.

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Math + MA (9+ y.o.)

Math + MA (9+ y.o.)

This series of books for 9 years old children allow each student to establish mathematical relationships between objects, detect relationships in phenomena, process, present information in a symbolic or a graphic form, and design models that reflect various relationships between objects. Students make a comparison on one or more grounds and draw conclusions on this basis; establish a pattern between objects (numbers, numerical expressions, equalities, geometric shapes, etc.) and determine its missing elements. In addition, students learn to classify objects according to proposed or independently found grounds, draw conclusions by analogy and confirm the accuracy of these conclusions, make out simple generalizations, and use mathematical knowledge in an extended field of application. Students grasp primary interdisciplinary subject concepts: number, size, geometric figure; recognize mathematical relations between objects and groups of objects in a sign-symbolic form (on the model); perform an advanced search for information and present information in the proposed form.

Systematic exercises develop such important skills as using acquired mathematical knowledge to describe and explain surrounding objects, processes, and phenomena, as well as to assess their quantitative and spatial relationships. Students practice the basics of logical and algorithmic thinking, improve spatial imagination and mathematical speech, master the basics of counting, measuring, estimating the result, and evaluating it, visualize data in various forms (tables, charts, diagrams), record and execute algorithms.

Students train the ability to perform verbal and written arithmetic operations with numbers and numerical expressions, solve text problems, perform and develop algorithms and strategies, explore, recognize and depict geometric shapes, work with tables, diagrams, graphs, and chains, represent, analyze and interpret the data.

Various forms of lessons can be utilized depending on the objectives of the lessons and the specifics of a particular topic.

The material, presented in our workbooks and worksheets, contains the following topics:

Place value

  • Intro to place value
  • Writing whole numbers in expanded form
  • Writing whole numbers in written form
  • Regrouping whole numbers
  • How 10 relates to place value
  • Comparing multi-digit numbers

Addition, subtraction, and estimation

  • Rounding whole numbers
  • Adding multi-digit numbers
  • Subtracting multi-digit numbers

Multiply by 1-digit numbers

  • Comparing with multiplication
  • Multiplication by 10s, 100s, and 1000s
  • Multi-digit multiplication: place value and area models
  • Estimate products
  • Multiply with partial products

Multiply by 2-digit numbers

  • Multiply by 10s
  • Multiply 2-digit numbers with area models
  • Estimate products (2-digit numbers)
  • Multiply 2-digit numbers with partial products

Division

  • Remainders
  • Divide multiples of 10, 100, and 1,000 by 1-digit numbers
  • Division with place value
  • Division with area models
  • Estimate quotients
  • Multi-digit division with partial quotients
  • Multiplication, division word problems
  • Multi-step word problems

Factors, multiples and patterns

  • Factors and multiples
  • Prime and composite numbers
  • Math patterns

Equivalent fractions and comparing fractions

  • Equivalent fractions
  • Common denominators
  • Comparing fractions with unlike denominators visually
  • Comparing fractions with unlike denominators

Add and subtract fractions

  • Decomposing fractions
  • Adding and subtracting fractions with like denominators
  • Adding and subtracting fractions: word problems
  • Mixed numbers
  • Adding and subtracting mixed numbers
  • Adding and subtracting mixed numbers word problems
  • Fractions with denominators of 10 and 100
  • Line plots with fractions

Multiply fractions

  • Multiplying fractions and whole numbers visually
  • Multiplying whole numbers and fractions
  • Multiplying whole numbers and mixed numbers
  • Multiplying whole numbers and fractions word problems

Understand decimals

  • Decimal fractions
  • Decimal fractions greater than 1
  • Writing fractions as decimals
  • Decimals in word form
  • Decimals on the number line
  • Regrouping decimals
  • Writing decimals as fractions
  • Common fractions and decimals
  • Comparing decimals visually
  • Comparing decimals

Plane figures

  • Types of plane figures
  • Angle introduction
  • Parallel and perpendicular
  • Classifying triangles
  • Classifying geometric shapes
  • Line of symmetry

Measuring angles

  • Understanding angle measurement
  • Measuring angles
  • Decomposing angles
  • Area and perimeter

Units of measurement

  • Estimating mass
  • Estimating volume
  • Estimating length

Time

  • Converting units of mass
  • Converting units of volume
  • Converting units of length
  • Converting units of time
  • Money word problems
  • Conversion word problems

Our workbooks

In addition, all workbooks contain problems that teach students to collect, sort, analyze, and use all kinds of information. Children work with tables, diagrams, and graphs, analyze the data, and solve logical problems.

Math + MA

Workbooks for 9+ years old “Math + MA”

Part 1

Part 2

Part 3

Multiplication tables in 12 lessons

Logic 7-9

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