Ireland

Algebra

• Patterns, rules and relationships

  • identify and express relationships in patterns, including growing or shrinking shape patterns and number sequences

    • Counting review - up to 20 (1-A.3)
    • Count objects - up to 100 (1-A.5)
    • Count forward and backward - up to 100 (1-A.6)
    • Number lines - up to 100 (1-A.7)
    • Count on the hundred chart (1-A.8)
    • Hundred chart (1-A.9)
    • Skip-count by twos, fives and tens - with tables (1-B.6)
    • Sequences - count up and down by 1, 2, 5 and 10 (1-B.7)
    • Sequences - count up and down by 100 (1-B.8)
    • Even or odd number of shapes - up to 20 (1-C.1)
    • Identify numbers as even or odd (1-C.2)
    • Even or odd numbers on number lines (1-C.3)
    • Which even or odd number comes before or after? (1-C.4)
    • Introduction to patterns (1-LL.1)
    • Find the next shape in a pattern (1-LL.2)
    • Complete a pattern (1-LL.3)
    • Make a pattern (1-LL.4)
    • Growing patterns (1-LL.5)
    • Find the next shape in a growing pattern (1-LL.6)
    • Find the next row in a growing pattern (1-LL.7)

• Expressions and equations

  • interpret the meaning of symbols or pictures in number sentences

    • Addition sentences up to 10: which model matches? (1-E.3)
    • Addition sentences up to 10: what does the model show? (1-E.4)
    • Addition sentences using number lines - sums up to 10 (1-E.6)
    • Complete the addition sentence to make ten (1-F.4)
    • Make a number using addition - sums up to 10 (1-G.2)
    • Addition sentences for word problems - sums up to 10 (1-H.6)
    • Subtraction sentences up to 10: which model matches? (1-I.3)
    • Subtraction sentences up to 10: what does the model show? (1-I.4)
    • Subtraction sentences using number lines - up to 10 (1-I.7)
    • Make a number using subtraction - up to 10 (1-K.2)
    • Subtraction word problems with pictures - up to 10 (1-L.1)
    • Subtraction sentences for word problems - up to 10 (1-L.6)
    • Addition sentences using number lines - sums up to 20 (1-P.2)
    • Make a number using addition - sums up to 20 (1-Q.14)
    • Addition sentences for word problems - sums up to 20 (1-R.3)
    • Subtraction sentences using number lines - up to 20 (1-S.3)
    • Make a number using subtraction - up to 20 (1-T.14)
    • Subtraction sentences for word problems - up to 20 (1-U.3)
    • Addition sentences up to 20: true or false? (1-Y.1)
    • Subtraction sentences up to 20: true or false? (1-Y.2)
    • Which sign makes the number sentence true? (1-Y.3)
    • Complete the addition sentence - sums up to 10 (1-Z.1)
    • Complete the subtraction sentence - up to 10 (1-Z.2)
    • Complete the addition sentence - sums up to 20 (1-Z.3)
    • Complete the addition or subtraction sentence - up to 20 (1-Z.5)
    • Complete addition and subtraction equations - up to 20 (1-Z.6)

Data and chance

• Data

  • pose questions of interest, record and use data as evidence to answer those questions and communicate the findings

    • Which pictograph is correct? (1-KK.1)
    • Interpret pictographs (1-KK.2)
    • Which tally chart is correct? (1-KK.3)
    • Interpret tally charts (1-KK.4)
    • Record data in tables (1-KK.5)
    • Interpret data in tables (1-KK.6)
    • Which bar graph is correct? (1-KK.7)
    • Interpret bar graphs (1-KK.8)

Measures

• Measuring

  • compare, approximate and measure length, weight, capacity and area using appropriate instruments and record using appropriate units of measurement

    • Measure using objects (1-GG.6)
    • Read a thermometer (1-GG.7)
    • Measure using a ruler (1-GG.8)
    • Which unit of length is appropriate? (1-GG.10)
    • Which unit of mass is appropriate? (1-GG.11)
    • Which unit of volume is appropriate? (1-GG.12)

• Time

  • understand how time is measured, expressed and represented

    • Match analogue clocks and times: to the half hour (1-HH.1)
    • Match digital clocks and times: to the half hour (1-HH.2)
    • Read clocks and write times: to the half hour (1-HH.4)
    • Match analogue clocks and times: to the quarter hour (1-HH.5)
    • Match digital clocks and times: to the quarter hour (1-HH.6)
    • Read clocks and write times: to the quarter hour (1-HH.8)
    • A.M. or P.M. (1-HH.9)
    • Times of everyday events (1-HH.10)
    • Compare clocks (1-HH.11)
    • Time and clocks: word problems (1-HH.12)
    • Elapsed time I (1-HH.13)
    • Elapsed time II (1-HH.14)
    • Days of the week (1-II.1)
    • Months of the year (1-II.2)
    • Seasons of the year (1-II.3)
    • Read a calendar (1-II.4)

  • explore equivalent expressions of time

    • Match analogue and digital clocks: to the half hour (1-HH.3)
    • Match analogue and digital clocks: to the quarter hour (1-HH.7)

• Money

  • recognise the value of money and use euro and cent in a range of meaningful contexts

    • Coin values (1-JJ.1)
    • Count groups of like coins: 1c, 2c, 5c or 10c (1-JJ.2)
    • Count groups of like coins: all coins (1-JJ.3)
    • Count 1c, 2c, 5c and 10c coins (1-JJ.4)
    • Count all coins (1-JJ.5)
    • Equivalent groups of coins (1-JJ.6)
    • Exchanging coins (1-JJ.7)
    • Money - word problems (1-JJ.8)
    • Purchases: do you have enough money? (1-JJ.9)
    • Compare money amounts (1-JJ.10)

Number

• Numeration and counting

  • demonstrate proficiency in using and applying different counting strategies

    • Counting review - up to 10 (1-A.1)
    • Counting review - up to 20 (1-A.3)
    • Count on ten frames - up to 40 (1-A.4)
    • Count objects - up to 100 (1-A.5)
    • Count forward and backward - up to 100 (1-A.6)
    • Number lines - up to 100 (1-A.7)
    • Count on the hundred chart (1-A.8)
    • Hundred chart (1-A.9)
    • Skip-count by twos, fives and tens with pictures (1-B.4)
    • Skip-count by twos, fives and tens (1-B.5)
    • Skip-count by twos, fives and tens - with tables (1-B.6)
    • Sequences - count up and down by 1, 2, 5 and 10 (1-B.7)
    • Sequences - count up and down by 100 (1-B.8)
    • Estimate to the nearest ten (1-FF.1)

• Place value and base ten

  • understand that digits have different values depending on their place or position in a number

    • Compare numbers up to 10 using words (1-D.2)
    • Compare numbers up to 10 using symbols (1-D.3)
    • Build and partition teen numbers (1-AA.1)
    • Place value models up to 20 (1-AA.2)
    • Build two-digit numbers (1-AA.3)
    • Build and partition two-digit numbers - with models (1-AA.4)
    • Place value models for two-digit numbers (1-AA.5)
    • Build and partition multiples of ten (1-AA.6)
    • Build and partition two-digit numbers - without models (1-AA.7)
    • Regroup tens and ones - ways to make a number (1-AA.8)
    • Regroup tens and ones (1-AA.9)
    • Place value models up to 120 (1-AA.10)
    • Write numbers as hundreds, tens and ones - up to 120 (1-AA.11)
    • Use place value to compare numbers up to 100 (1-BB.1)
    • Compare numbers up to 100 using words (1-BB.2)
    • Compare numbers up to 100 using symbols (1-BB.3)
    • Use place value to compare numbers up to 120 (1-BB.6)
    • Compare numbers up to 120 using symbols (1-BB.7)

  • use estimation to quickly determine number values and number calculations

    • Estimate to the nearest ten (1-FF.1)
    • Round to the nearest ten (1-FF.2)
    • Round to the nearest ten or hundred (1-FF.3)

• Sets and operations

  • select, make use of and represent a range of addition and subtraction strategies

    • Add with cubes - sums up to 10 (1-E.1)
    • Add with pictures - sums up to 10 (1-E.2)
    • Addition sentences up to 10: which model matches? (1-E.3)
    • Addition sentences up to 10: what does the model show? (1-E.4)
    • Write addition sentences for pictures - sums up to 10 (1-E.5)
    • Addition sentences using number lines - sums up to 10 (1-E.6)
    • Add in any order (1-F.1)
    • Add by counting on - sums up to 10 (1-F.2)
    • Complete the addition sentence to make ten - with models (1-F.3)
    • Complete the addition sentence to make ten (1-F.4)
    • Addition facts - sums up to 10 (1-G.1)
    • Make a number using addition - sums up to 10 (1-G.2)
    • Ways to make a number - addition sentences up to 10 (1-G.3)
    • Addition word problems with pictures - sums up to 10 (1-H.1)
    • Write addition sentences for word problems with pictures - sums up to 10 (1-H.2)
    • Build cube trains to solve addition word problems - sums up to 10 (1-H.3)
    • Addition word problems - sums up to 10 (1-H.4)
    • Model and write addition sentences for word problems - sums up to 10 (1-H.5)
    • Addition sentences for word problems - sums up to 10 (1-H.6)
    • Subtract with cubes - up to 10 (1-I.1)
    • Subtract with pictures - up to 10 (1-I.2)
    • Subtraction sentences up to 10: which model matches? (1-I.3)
    • Subtraction sentences up to 10: what does the model show? (1-I.4)
    • Subtraction sentences up to 10: what does the cube train show? (1-I.5)
    • Write subtraction sentences for pictures - up to 10 (1-I.6)
    • Subtraction sentences using number lines - up to 10 (1-I.7)
    • Subtract zero and all (1-I.8)
    • Subtract by counting back - up to 10 (1-J.1)
    • Subtract by counting on - up to 10 (1-J.2)
    • Relate addition and subtraction sentences - up to 10 (1-J.3)
    • Use addition to subtract - up to 10 (1-J.4)
    • Subtraction facts - up to 10 (1-K.1)
    • Make a number using subtraction - up to 10 (1-K.2)
    • Ways to make a number - subtraction sentences up to 10 (1-K.3)
    • Ways to subtract from a number - subtraction sentences up to 10 (1-K.4)
    • Subtraction word problems with pictures - up to 10 (1-L.1)
    • Write subtraction sentences for word problems with pictures - up to 10 (1-L.2)
    • Use cube trains to solve subtraction word problems - up to 10 (1-L.3)
    • Subtraction word problems - up to 10 (1-L.4)
    • Model and write subtraction sentences for word problems - up to 10 (1-L.5)
    • Subtraction sentences for word problems - up to 10 (1-L.6)
    • Fact families - up to 10 (1-M.1)
    • Addition and subtraction facts - up to 10 (1-M.2)
    • Sort addition and subtraction facts - up to 10 (1-M.3)
    • Comparison word problems up to 10: how many more? (1-N.1)
    • Comparison word problems up to 10: how many fewer? (1-N.2)
    • Comparison word problems up to 10: how many more or fewer? (1-N.3)
    • Comparison word problems up to 10: what is the larger amount? (1-N.4)
    • Comparison word problems up to 10: what is the smaller amount? (1-N.5)
    • Comparison word problems up to 10 (1-N.6)
    • Addition and subtraction word problems with pictures - up to 10 (1-O.1)
    • Use cube trains to solve addition and subtraction word problems - up to 10 (1-O.2)
    • Addition and subtraction sentences for word problems - up to 10 (1-O.3)
    • Word problems with change unknown - up to 10 (1-O.4)
    • Word problems with start unknown - up to 10 (1-O.5)
    • Word problems with one addend unknown - up to 10 (1-O.6)
    • Word problems with both addends unknown - up to 10 (1-O.7)
    • Word problems involving addition and subtraction - up to 10 (1-O.8)
    • Match word problems to addition and subtraction sentences - up to 10 (1-O.9)
    • Related addition facts (1-P.1)
    • Addition sentences using number lines - sums up to 20 (1-P.2)
    • Add by counting on - sums up to 20 (1-P.3)
    • Add doubles with models (1-P.4)
    • Add doubles (1-P.5)
    • Add doubles - complete the sentence (1-P.6)
    • Add using doubles plus one (1-P.7)
    • Add using doubles minus one (1-P.8)
    • Add three numbers - use doubles (1-P.9)
    • Use ten frames to add (1-P.10)
    • Make ten to add (1-P.11)
    • Add three numbers - make ten (1-P.12)
    • Adding 1 (1-Q.1)
    • Adding 2 (1-Q.2)
    • Adding 3 (1-Q.3)
    • Adding 4 (1-Q.4)
    • Adding 5 (1-Q.5)
    • Adding 6 (1-Q.6)
    • Adding 7 (1-Q.7)
    • Adding 8 (1-Q.8)
    • Adding 9 (1-Q.9)
    • Adding 10 (1-Q.10)
    • Adding 0 (1-Q.11)
    • Addition facts - sums up to 20 (1-Q.12)
    • Sort addition facts - sums up to 20 (1-Q.13)
    • Make a number using addition - sums up to 20 (1-Q.14)
    • Add three numbers (1-Q.15)
    • Addition word problems with models - sums up to 20 (1-R.1)
    • Addition word problems - sums up to 20 (1-R.2)
    • Addition sentences for word problems - sums up to 20 (1-R.3)
    • Add three numbers - word problems (1-R.4)
    • Related subtraction facts (1-S.1)
    • Relate addition and subtraction sentences - up to 20 (1-S.2)
    • Subtraction sentences using number lines - up to 20 (1-S.3)
    • Subtract by counting back - up to 20 (1-S.4)
    • Use ten frames to subtract (1-S.5)
    • Use ten to subtract (1-S.6)
    • Use addition to subtract - up to 20 (1-S.7)
    • Subtract by counting on - up to 20 (1-S.8)
    • Count on and use ten to subtract - up to 20 (1-S.9)
    • Subtract doubles (1-S.10)
    • Subtracting 1 (1-T.1)
    • Subtracting 2 (1-T.2)
    • Subtracting 3 (1-T.3)
    • Subtracting 4 (1-T.4)
    • Subtracting 5 (1-T.5)
    • Subtracting 6 (1-T.6)
    • Subtracting 7 (1-T.7)
    • Subtracting 8 (1-T.8)
    • Subtracting 9 (1-T.9)
    • Subtracting 10 (1-T.10)
    • Subtracting 0 (1-T.11)
    • Subtraction facts - up to 20 (1-T.12)
    • Sort subtraction facts - up to 20 (1-T.13)
    • Make a number using subtraction - up to 20 (1-T.14)
    • Subtraction word problems with models - up to 20 (1-U.1)
    • Subtraction word problems - up to 20 (1-U.2)
    • Subtraction sentences for word problems - up to 20 (1-U.3)
    • Addition and subtraction facts - up to 20 (1-V.1)
    • Addition and subtraction - ways to make a number (1-V.2)
    • Comparison word problems up to 20: how many more or fewer? (1-W.1)
    • Comparison word problems up to 20: what is the larger amount? (1-W.2)
    • Comparison word problems up to 20: what is the smaller amount? (1-W.3)
    • Comparison word problems - up to 20 (1-W.4)
    • Word problems with change unknown - up to 20 (1-X.1)
    • Word problems with start unknown - up to 20 (1-X.2)
    • Word problems with one addend unknown - up to 20 (1-X.3)
    • Word problems with both addends unknown - up to 20 (1-X.4)
    • Use models to solve word problems involving addition and subtraction - up to 20 (1-X.5)
    • Word problems involving addition and subtraction - up to 20 (1-X.6)
    • Addition and subtraction sentences for word problems - up to 20 (1-X.7)
    • Match word problems to addition and subtraction sentences - up to 20 (1-X.8)
    • Addition sentences up to 20: true or false? (1-Y.1)
    • Subtraction sentences up to 20: true or false? (1-Y.2)
    • Which sign makes the number sentence true? (1-Y.3)
    • Complete the addition sentence - sums up to 10 (1-Z.1)
    • Complete the subtraction sentence - up to 10 (1-Z.2)
    • Complete the addition sentence - sums up to 20 (1-Z.3)
    • Ten more or less (1-CC.1)
    • Add two multiples of ten (1-CC.2)
    • Subtract multiples of ten (1-CC.3)
    • Add and subtract multiples of ten (1-CC.4)
    • Use models to add a multiple of ten and a one-digit number (1-DD.1)
    • Add a multiple of ten and a one-digit number (1-DD.2)
    • Use models to add a multiple of ten and a two-digit number (1-DD.3)
    • Add a multiple of ten and a two-digit number (1-DD.4)
    • Use models to add a two-digit and a one-digit number - without regrouping (1-DD.5)
    • Add a two-digit number and a one-digit number - without regrouping (1-DD.6)
    • Use a hundred chart to add ones - with regrouping (1-DD.7)
    • Use a hundred chart to add tens or ones - without regrouping (1-DD.8)
    • Use models to add a two-digit and a one-digit number - with regrouping (1-DD.9)
    • Add a two-digit number and a one-digit number - with regrouping (1-DD.10)
    • Use models to add two-digit numbers - without regrouping (1-DD.11)
    • Add two-digit numbers - without regrouping (1-DD.12)
    • Use models to add two-digit numbers - with regrouping (1-DD.13)
    • Add two-digit numbers - with regrouping (1-DD.14)
    • Addition word problems - up to two digits (1-DD.15)
    • Use models to subtract a multiple of ten from a two-digit number (1-EE.1)
    • Subtract a multiple of ten from a two-digit number (1-EE.2)
    • Use models to subtract a one-digit number from a two-digit number - without regrouping (1-EE.3)
    • Subtract a one-digit number from a two-digit number - without regrouping (1-EE.4)
    • Use models to subtract a one-digit number from a two-digit number - with regrouping (1-EE.5)
    • Subtract a one-digit number from a two-digit number - with regrouping (1-EE.6)
    • Use models to subtract two-digit numbers - without regrouping (1-EE.7)
    • Subtract two-digit numbers - without regrouping (1-EE.8)
    • Use models to subtract two-digit numbers - with regrouping (1-EE.9)
    • Subtract two-digit numbers - with regrouping (1-EE.10)
    • Subtraction word problems - up to two digits (1-EE.11)
    • Estimate sums (1-FF.4)
    • Estimate differences (1-FF.5)

• Fractions

  • recognise and name fractions according to their part-whole relationships

    • Equal parts - 2 and 4 equal parts (1-QQ.1)
    • Identify halves (1-QQ.2)
    • Identify quarters (1-QQ.3)
    • Identify halves and quarters (1-QQ.4)
    • Make halves (1-QQ.5)
    • Make quarters (1-QQ.6)
    • Make halves and quarters (1-QQ.7)
    • Make halves and quarters in different ways (1-QQ.8)

  • explore the concept of equivalence in terms of simple fractions

Shape and space

• Spatial awareness and location

  • use spatial knowledge for the purposes of orientation and navigation

    • Above and below (1-MM.1)
    • Beside and next to (1-MM.2)
    • Left, middle and right (1-MM.3)
    • Top, middle and bottom (1-MM.4)
    • Location in a grid (1-MM.5)
    • Fractions of a turn (1-MM.6)

  • visualise and model location using symbolic co-ordinates

• Shape

  • examine, categorise and model 3-D and 2-D shapes

    • Select two-dimensional shapes (1-NN.1)
    • Name the two-dimensional shape (1-NN.2)
    • Count sides and vertices (1-NN.3)
    • Compare sides and vertices (1-NN.4)
    • Sort two-dimensional shapes (1-NN.5)
    • Square corners (1-NN.6)
    • Equal sides (1-NN.7)
    • Open and closed shapes (1-NN.8)
    • Compose two-dimensional shapes (1-NN.9)
    • Two-dimensional shapes in the real world (1-NN.10)
    • Two-dimensional and three-dimensional shapes (1-OO.1)
    • Cubes and rectangular prisms (1-OO.2)
    • Select three-dimensional shapes (1-OO.3)
    • Name the three-dimensional shape (1-OO.4)
    • Count vertices, edges and faces (1-OO.5)
    • Compare vertices, edges and faces (1-OO.6)
    • Identify faces of three-dimensional shapes (1-OO.7)
    • Identify shapes traced from solids (1-OO.8)
    • Three-dimensional shapes in the real world I (1-OO.9)
    • Three-dimensional shapes in the real world II (1-OO.10)

• Transformation

  • understand that shapes and line segments can be reflected, rotated and translated

    • Flip, turn and slide (1-NN.11)
    • Symmetry (1-NN.12)