Learning goals

Certified by Education Alliance Finland

The supported learning goals are identified by mapping the product against the selected reference curriculum and soft skills definitions most relevant for the 21st century.

• Practising to understand visual concepts and shapes and observe their qualities
• Understanding and interpreting of matrices and diagrams
• Practicing logical reasoning to understand and interpret information in different forms
• Can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
• Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
• Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
• Can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
• Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.
• Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
• Practicing to notice links between subjects learned
Learning to combine information to find new innovations
Encouraging to build new information and visions
Learning to build information on top of previously learned
Practicing to notice causal connections
Learning about different countries and their characteristics
Learning about cultural aspects and to respect different cultures
Encouraging to build new information and visions
Supporting student to build their own linguistic and cultural identity
Learning about different languages
Getting familiar with different cultures
Learning to understand people, surroundings and phenomenons around us
Learning to face respectfully people and follow the good manners
Learning to know and respect human rights
Practicing to notice causal connections
Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens.
Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
Read and write numbers from 1 to 20 in numerals and words.
Practicing to use information independently and interactively
Practicing versatile ways of working
Practicing decision making
Practising visual recognition
Practicing to observe spoken and written language
Practicing categorization and classification
Practicing fine motor skills
Practicing memorizing skills
Practicing letters, alphabets and written language
Learning to find the joy of learning and new challenges
Practicing persistent working
Learning to understand and interpret diverse types of texts
Practising to understand visual concepts and shapes and observe their qualities
Learning to acquire, modify and produce information in different forms
Practicing logical reasoning to understand and interpret information in different forms
Using technology as a part of explorative process
Practicing to notice links between subjects learned
Learning to combine information to find new innovations
Encouraging to build new information and visions
Learning to build information on top of previously learned
Identify, represent and estimate numbers using different representations.
Order and compare numbers beyond 1000.
Solve number problems and practical problems involving these ideas.
Read and write numbers up to 1000 in numerals and in words.
Identify, represent and estimate numbers using different representations.
Compare and order numbers up to 1000.
Recognise the place value of each digit in a three-digit number (hundreds, tens, ones).
Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number.
Use place value and number facts to solve problems.
Read and write numbers to at least 100 in numerals and in words.
Compare and order numbers from 0 up to 100; use <, > and = signs.
Identify, represent and estimate numbers using different representations, including the number line.
Recognise the place value of each digit in a two-digit number (tens, ones).
Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward.
Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.
Given a number, identify one more and one less.
Recognise and name common 2-D and 3-D shapes, including 2-D shapes [for example, rectangles (including squares), circles and triangles] and 3-D shapes [for example, cuboids (including cubes), pyramids and spheres].
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations.
Multiply or divide to solve word problems involving multiplicative comparison.
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Recognize and generate equivalent fractions.
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.
Recognize right triangles as a category, and identify right triangles.
Geometric measurement: understand concepts of angle and measure angles.
Compare, describe and solve practical problems for capacity and volume [for example, full/empty, more than, less than, half, half full, quarter].
Compare, describe and solve practical problems for mass/weight [for example, heavy/light, heavier than, lighter than].
Compare, describe and solve practical problems for lengths and heights [for example, long/short, longer/shorter, tall/short, double/half].
Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line.
Use the four operations with whole numbers to solve problems.
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
Interpret whole-number quotients of whole numbers.
Reason with shapes and their attributes.
Understand that shapes in different categories may share attributes, and that the shared attributes can de ne a larger category.
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
Recognize area as an attribute of plane figures and understand concepts of area measurement.
Fluently add and subtract within 1000 using strategies and algorithms based on place value and properties of operations.
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.
Use place value understanding to round whole numbers to the nearest 10 or 100.
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Understand properties of multiplication and the relationship between multiplication and division.
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations.
Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Relate area to the operations of multiplication and addition.
Multiply and divide within 100.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Understand division as an unknown-factor problem.
Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).
Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes.
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts.
Develop understanding of fractions as numbers.
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
Represent and solve problems involving multiplication and division.
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc.
Recognize and draw shapes having speci ed attributes, such as a given number of angles or a given number of equal faces.
Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ...
Partition a rectangle into rows and columns of same-size squares and count to nd the total number of them.
Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.
Estimate lengths using units of inches, feet, centimeters, and meters.
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns.
Relate addition and subtraction to length.
Generate measurement data by measuring lengths of several objects to the nearest whole unit.
Tell and write time from analog and digital clocks to the nearest ve minutes, using a.m. and p.m.
Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories.
Fluently add and subtract within 100 using strategies based on place value and properties of operations.
Add up to four two-digit numbers using strategies based on place value and properties of operations.
Add and subtract within 1000, using concrete models or drawings and strategies based on place value and properties of operations.
Reason with shapes and their attributes.
Represent and interpret data.
Work with time and money
Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.
Measure the length of an object twice, using length units of different lengths for the two measurements.
Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
Measure and estimate lengths in standard units.
Use addition and subtraction within 100 to solve one- and two-step word problems.
Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and <.(Skill)
Use place value understanding and properties of operations to add and subtract.
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Count within 1000; skip-count by 5s, 10s, and 100s.
Work with equal groups of objects to gain foundations for multiplication.
Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.
Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s.
Add and subtract within 20.
Represent and solve problems involving addition and subtraction.
Understand place value
Partition circles and rectangles into two and four equal shares, describe the shares using the words like halves, fourths, and quarters.
Organize, represent, and interpret data with up to three categories.
Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end.
Order three objects by length; compare the lengths of two objects indirectly by using a third object.
Tell and write time in hours and half-hours using analog and digital clocks.
Represent and interpret data.
Use place value understanding and properties of operations to add and subtract.
Extend the counting sequence.
Understand place value.
Compose two-dimensional shapes or three-dimensional shapes.
Reason with shapes and their attributes.
Tell and write time.
Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.
Measure lengths indirectly and by iterating length units.
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10.
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences).
Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
Understand that the two digits of a two-digit number represent amounts of tens and ones.
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.
Work with addition and subtraction equations.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Relate counting to addition and subtraction.
Add and subtract within 20.
Understand subtraction as an unknown-addend problem.
Apply properties of operations as strategies to add and subtract.
Understand and apply properties of operations and the relationship between addition and subtraction.
Represent and solve problems involving addition and subtraction.
Practising visual recognition
Practicing categorization and classification
Practicing fine motor skills
Practicing persistent working
Practicing to plan and execute studies, make observations and measurements
Developing problem solving skills
Practising to understand visual concepts and shapes and observe their qualities
Practicing logical reasoning to understand and interpret information in different forms
Practicing keyboard skills and touch typing
Using technology resources for problem solving
Learning to build information on top of previously learned
Practicing to notice causal connections
Interpret and construct simple pictograms, tally charts, block diagrams and simple tables.
Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.
Solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
Recognise, find and name a half as one of two equal parts of an object, shape or quantity.
add and subtract numbers mentally, including a three-digit number and ones, a three-digit number and tens, a three-digit number and hundreds.
Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.
Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot.
Add and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and ones a two-digit number and tens, two two-digit numbers, adding three one-digit numbers.
Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100.
Solve problems with addition and subtraction applying their increasing knowledge of mental and written methods.
Solve problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measures.
Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = – 9.
Add and subtract one-digit and two-digit numbers to 20, including zero.
Represent and use number bonds and related subtraction facts within 20.
Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs.
Solve number problems and practical problems involving these ideas.
Identify, represent and estimate numbers using different representations.
Recognise the place value of each digit in a three-digit number (hundreds, tens, ones).
Use place value and number facts to solve problems.
Compare and order numbers from 0 up to 100; use <, > and = signs.
Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward.
Identify, represent and estimate numbers using different representations, including the number line.
Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.
Given a number, identify one more and one less.
Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens.
Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
Read and write numbers from 1 to 20 in numerals and words.
Read, write and convert time between analogue and digital 12- and 24-hour clocks.
Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml).
Know the number of minutes in an hour and the number of hours in a day.
Tell and write the time to five minutes, including . quarter past/to the hour and draw the hands on a clock face to show these times.
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.
Recognise and use language relating to dates, including days of the week, weeks, months and years.
Recognise and know the value of different denominations of coins and notes.
Measure and begin to record time (hours, minutes, seconds).
Measure and begin to record capacity and volume.
Measure and begin to record mass/weight.
Measure and begin to record the lengths.
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