Ireland

JI-SI.1 Applying and problem-solving

• JI-SI.1.1 select appropriate materials and processes for mathematical tasks

  • One more - up to 10 (S-C.7)
  • Count one more - up to 10 (S-C.8)
  • One less - up to 10 (S-C.9)
  • Count one less - up to 10 (S-C.10)
  • Count one more and one less - up to 10 (S-C.12)
  • Before, after and between - up to 10 (S-C.17)
  • Count forward and backward - up to 10 (S-C.18)
  • Counting on the hundred chart (S-E.3)
  • Sum and difference (S-V.1)

• JI-SI.1.2 select and apply appropriate strategies for completing a task or solving a problem

  • Addition word problems - sums up to 5 (S-J.6)
  • Addition word problems - sums up to 10 (S-K.8)
  • Subtraction word problems - numbers up to 5 (S-L.5)
  • Subtraction word problems - numbers up to 10 (S-M.7)

• JI-SI.1.3 recognise solutions to problems

  • Make a number using addition - sums up to 5 (S-J.3)
  • Make a number using addition - sums up to 10 (S-K.3)
  • Make a number using subtraction - numbers up to 10 (S-M.3)

JI-SI.2 Communicating and expressing

• JI-SI.2.1 discuss and explain mathematical activities

• JI-SI.2.2 record the results of mathematical activities concretely and using diagrams, pictures and numbers

  • Learn to count - up to 3 (J-A.1)
  • Count on ten frames - up to 3 (J-A.5)
  • Show numbers on ten frames - up to 3 (J-A.6)
  • Represent numbers - up to 3 (J-A.7)
  • Learn to count - up to 5 (J-B.1)
  • Count on ten frames - up to 5 (J-B.5)
  • Show numbers on ten frames - up to 5 (J-B.6)
  • Represent numbers - up to 5 (J-B.7)
  • Learn to count - up to 10 (J-C.1)
  • Count on ten frames - up to 10 (J-C.5)
  • Show numbers on ten frames - up to 10 (J-C.6)
  • Represent numbers - up to 10 (J-C.7)
  • Represent numbers - up to 3 (S-A.6)
  • Represent numbers - up to 5 (S-B.6)
  • Count one more - up to 5 (S-B.8)
  • Count one less - up to 5 (S-B.10)
  • Learn to count to 10 (S-C.1)
  • Represent numbers - up to 10 (S-C.6)
  • One more - up to 10 (S-C.7)
  • Count one more - up to 10 (S-C.8)
  • One less - up to 10 (S-C.9)
  • Count one less - up to 10 (S-C.10)
  • One more and one less - up to 10 (S-C.11)
  • Count one more and one less - up to 10 (S-C.12)
  • Count up and down - up to 10 (S-C.13)
  • Count to fill a ten frame (S-C.14)
  • Names of numbers - up to 10 (S-C.19)
  • Add with pictures - sums up to 5 (S-J.1)
  • Addition sentences - sums up to 5 (S-J.2)
  • Make a number using addition - sums up to 5 (S-J.3)
  • Add two numbers - sums up to 5 (S-J.4)
  • Complete the addition sentence - sums up to 5 (S-J.5)
  • Add with pictures - sums up to 10 (S-K.1)
  • Addition sentences - sums up to 10 (S-K.2)
  • Make a number using addition - sums up to 10 (S-K.3)
  • Add two numbers - sums up to 10 (S-K.4)
  • Complete the addition sentence - sums up to 10 (S-K.5)
  • Complete the addition sentence - make 10 (S-K.6)
  • Write addition sentences (S-K.7)
  • Subtract with pictures - numbers up to 5 (S-L.1)
  • Subtraction sentences - numbers up to 5 (S-L.2)
  • Subtract - numbers up to 5 (S-L.3)
  • Complete the subtraction sentence - numbers up to 5 (S-L.4)
  • Subtract with pictures - numbers up to 10 (S-M.1)
  • Subtraction sentences - numbers up to 10 (S-M.2)
  • Make a number using subtraction - numbers up to 10 (S-M.3)
  • Subtract - numbers up to 10 (S-M.4)
  • Complete the subtraction sentence - numbers up to 10 (S-M.5)
  • Write subtraction sentences (S-M.6)

• JI-SI.2.3 discuss problems presented concretely, pictorially or orally

JI-SI.3 Integrating and connecting

• JI-SI.3.1 connect informally acquired mathematical ideas with formal mathematical ideas

• JI-SI.3.2 recognise mathematics in the environment

• JI-SI.3.3 recognise the relationship between verbal, concrete, pictorial and symbolic modes of representing numbers

  • Count on ten frames - up to 3 (J-A.5)
  • Show numbers on ten frames - up to 3 (J-A.6)
  • Represent numbers - up to 3 (J-A.7)
  • Count on ten frames - up to 5 (J-B.5)
  • Show numbers on ten frames - up to 5 (J-B.6)
  • Represent numbers - up to 5 (J-B.7)
  • Count on ten frames - up to 10 (J-C.5)
  • Show numbers on ten frames - up to 10 (J-C.6)
  • Represent numbers - up to 10 (J-C.7)
  • Count on ten frames - up to 20 (J-D.4)
  • Show numbers on ten frames - up to 20 (J-D.5)
  • Fewer (J-E.3)
  • Count on ten frames - up to 3 (S-A.4)
  • Show numbers on ten frames - up to 3 (S-A.5)
  • Represent numbers - up to 3 (S-A.6)
  • Count on ten frames - up to 5 (S-B.4)
  • Show numbers on ten frames - up to 5 (S-B.5)
  • Represent numbers - up to 5 (S-B.6)
  • Count one more - up to 5 (S-B.8)
  • Count one less - up to 5 (S-B.10)
  • Count on ten frames - up to 10 (S-C.4)
  • Show numbers on ten frames - up to 10 (S-C.5)
  • Represent numbers - up to 10 (S-C.6)
  • One more - up to 10 (S-C.7)
  • Count one more - up to 10 (S-C.8)
  • One less - up to 10 (S-C.9)
  • Count one less - up to 10 (S-C.10)
  • One more and one less - up to 10 (S-C.11)
  • Count one more and one less - up to 10 (S-C.12)
  • Count up and down - up to 10 (S-C.13)
  • Count to fill a ten frame (S-C.14)
  • Names of numbers - up to 10 (S-C.19)
  • Count on ten frames - up to 20 (S-D.2)
  • Counting on the hundred chart (S-E.3)

• JI-SI.3.4 carry out mathematical activities that involve other areas of the curriculum

JI-SI.4 Reasoning

• JI-SI.4.1 classify objects into logical categories

  • Same (J-G.1)
  • Different (J-G.2)
  • Same and different (J-G.3)
  • Classify shapes by colour (J-G.4)
  • Classify and sort by colour (J-G.5)
  • Classify and sort by shape (J-G.6)
  • Same (S-O.1)
  • Different (S-O.2)
  • Same and different (S-O.3)
  • Classify shapes by colour (S-O.4)
  • Classify and sort by colour (S-O.5)
  • Classify and sort by shape (S-O.6)
  • Classify and sort (S-O.7)
  • Sort shapes into a Venn diagram (S-O.8)
  • Count shapes in a Venn diagram (S-O.9)
  • Put numbers up to 10 in order (S-O.10)

• JI-SI.4.2 recognize and create sensory patterns

  • Colour patterns (J-H.1)
  • Size patterns (J-H.2)
  • Shape patterns (J-H.3)
  • What comes next? (J-H.4)
  • Colour patterns (S-H.1)
  • Size patterns (S-H.2)
  • Shape patterns (S-H.3)
  • Find the next shape in a pattern (S-H.4)
  • Complete a pattern (S-H.5)
  • Growing patterns (S-H.6)
  • Find the next shape in a growing pattern (S-H.7)
  • Find the next row in a growing pattern (S-H.8)

• JI-SI.4.3 justify the processes or results of activites

JI-SI.5 Implementing

• JI-SI.5.1 devise and use mental strategies and procedures for carrying out mathematical tasks

• JI-SI.5.2 use appropriate manipulatives to carry out mathematical tasks and procedures

  • Add with pictures - sums up to 5 (S-J.1)
  • Addition sentences - sums up to 5 (S-J.2)
  • Add with pictures - sums up to 10 (S-K.1)
  • Addition sentences - sums up to 10 (S-K.2)
  • Subtract with pictures - numbers up to 5 (S-L.1)
  • Subtraction sentences - numbers up to 5 (S-L.2)
  • Subtract with pictures - numbers up to 10 (S-M.1)
  • Subtraction sentences - numbers up to 10 (S-M.2)

JI-SI.6 Understanding and recalling

• JI-SI.6.1 recall and understand terminology.

  • Inside and outside (J-F.1)
  • Above and below (J-F.2)
  • Beside and next to (J-F.3)
  • Left and right (J-F.4)
  • Left, middle and right (J-F.5)
  • Top and bottom (J-F.6)
  • Top, middle and bottom (J-F.7)
  • Long and short (J-I.1)
  • Tall and short (J-I.2)
  • Wide and narrow (J-I.3)
  • Light and heavy (J-I.4)
  • Holds more or less (J-I.5)
  • Compare size, weight and capacity (J-I.6)
  • Name the shape (J-K.1)
  • Circles (J-K.2)
  • Squares (J-K.3)
  • Triangles (J-K.4)
  • Rectangles (J-K.5)
  • Circles, squares and triangles (J-K.6)
  • Flat and solid shapes (J-L.1)
  • Name the solid shape (J-L.2)
  • Spheres (J-L.3)
  • Cubes (J-L.4)
  • Cones (J-L.5)
  • Cylinders (J-L.6)
  • Select solid shapes (J-L.7)
  • Inside and outside (S-I.1)
  • Above and below (S-I.2)
  • Above and below - find solid figures (S-I.3)
  • Beside and next to (S-I.4)
  • Beside and next to - find solid figures (S-I.5)
  • Left, middle and right (S-I.6)
  • Top, middle and bottom (S-I.7)
  • Long and short (S-R.1)
  • Tall and short (S-R.2)
  • Light and heavy (S-R.4)
  • Holds more or less (S-R.5)
  • Compare size, weight and capacity (S-R.6)
  • Name the two-dimensional shape (S-T.1)
  • Circles (S-T.2)
  • Squares and rectangles (S-T.4)
  • Select two-dimensional shapes (S-T.6)
  • Introduction to symmetry (S-T.9)
  • Identify pictures with symmetry (S-T.10)
  • Two-dimensional and three-dimensional shapes (S-U.1)
  • Name the three-dimensional shape (S-U.2)
  • Select three-dimensional shapes (S-U.7)
  • Shapes of everyday objects II (S-U.10)
  • Sum and difference (S-V.1)

JI.1 Early mathematical activities

• JI.1.1 Classifying

  • JI.1.1.1 classify objects on the basis of one attribute, such as colour, shape, texture or size

    • Same (J-G.1)
    • Different (J-G.2)
    • Same and different (J-G.3)
    • Classify shapes by colour (J-G.4)
    • Classify and sort by colour (J-G.5)
    • Classify and sort by shape (J-G.6)
    • Long and short (J-I.1)
    • Tall and short (J-I.2)
    • Wide and narrow (J-I.3)
    • Light and heavy (J-I.4)
    • Holds more or less (J-I.5)
    • Compare size, weight and capacity (J-I.6)
    • Name the shape (J-K.1)
    • Circles (J-K.2)
    • Squares (J-K.3)
    • Triangles (J-K.4)
    • Rectangles (J-K.5)
    • Circles, squares and triangles (J-K.6)
    • Flat and solid shapes (J-L.1)
    • Name the solid shape (J-L.2)
    • Spheres (J-L.3)
    • Cubes (J-L.4)
    • Cones (J-L.5)
    • Cylinders (J-L.6)
    • Select solid shapes (J-L.7)

  • JI.1.1.2 identify the complement of a set (i.e. elements not in a set)

    • Different (J-G.2)
    • Same and different (J-G.3)
    • Classify shapes by colour (J-G.4)
    • Classify and sort by colour (J-G.5)
    • Classify and sort by shape (J-G.6)

• JI.1.2 Matching

  • JI.1.2.1 match equivalent and non-equivalent sets using one-to-one correspondence

    • Are there enough? (J-E.1)
    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)

• JI.1.3 Comparing

  • JI.1.3.1 compare objects according to length, width, height, weight, quantity, thickness or size

    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)
    • Long and short (J-I.1)
    • Tall and short (J-I.2)
    • Wide and narrow (J-I.3)
    • Light and heavy (J-I.4)
    • Holds more or less (J-I.5)
    • Compare size, weight and capacity (J-I.6)

  • JI.1.3.2 compare sets without counting

    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)

• JI.1.4 Ordering

  • JI.1.4.1 order objects according to length or height

    • Long and short (J-I.1)
    • Tall and short (J-I.2)
    • Wide and narrow (J-I.3)
    • Light and heavy (J-I.4)
    • Holds more or less (J-I.5)
    • Compare size, weight and capacity (J-I.6)

  • JI.1.4.2 order sets without counting.

JI.2 Number

• JI.2.1 Counting

  • JI.2.1.1 count the number of objects in a set, 1-10

    • Learn to count - up to 3 (J-A.1)
    • Count objects - up to 3 (J-A.2)
    • Count dots - up to 3 (J-A.3)
    • Count shapes - up to 3 (J-A.4)
    • Count on ten frames - up to 3 (J-A.5)
    • Learn to count - up to 5 (J-B.1)
    • Count objects - up to 5 (J-B.2)
    • Count dots - up to 5 (J-B.3)
    • Count shapes - up to 5 (J-B.4)
    • Count on ten frames - up to 5 (J-B.5)
    • Learn to count - up to 10 (J-C.1)
    • Count objects - up to 10 (J-C.2)
    • Count dots - up to 10 (J-C.3)
    • Count shapes - up to 10 (J-C.4)
    • Count on ten frames - up to 10 (J-C.5)

• JI.2.2 Comparing and ordering

  • JI.2.2.1 compare equivalent and non-equivalent sets 1-5 by matching without using symbols

    • Are there enough? (J-E.1)
    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)

  • JI.2.2.2 order sets of objects by number, 1-5

  • JI.2.2.3 use the language of ordinal number: first, last

    • Ordinal numbers (1-A.22)

• JI.2.3 Analysis of number

  • JI.2.3.1 explore the components of number, 1-5

    • Add with pictures - sums up to 5 (S-J.1)

  • JI.2.3.2 combine sets of objects, totals to 5

  • JI.2.3.3 partition sets of objects, 1-5

    • Subtract with pictures - numbers up to 5 (S-L.1)

  • JI.2.3.4 develop an understanding of the conservation of number, 1-5

  • JI.2.3.5 read, write and order numerals, 1-5

    • Represent numbers - up to 3 (J-A.7)
    • Represent numbers - up to 5 (J-B.7)
    • Represent numbers - up to 10 (J-C.7)

  • JI.2.3.6 identify the empty set and the numeral zero

  • JI.2.3.7 subitise (tell at a glance) the number of objects in a set, 1-5

    • Learn to count - up to 3 (J-A.1)
    • Count objects - up to 3 (J-A.2)
    • Count dots - up to 3 (J-A.3)
    • Count shapes - up to 3 (J-A.4)
    • Count on ten frames - up to 3 (J-A.5)
    • Learn to count - up to 5 (J-B.1)
    • Count objects - up to 5 (J-B.2)
    • Count dots - up to 5 (J-B.3)
    • Count shapes - up to 5 (J-B.4)
    • Count on ten frames - up to 5 (J-B.5)
    • Are there enough? (J-E.1)
    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)

  • JI.2.3.8 solve simple oral problems, 0-5

JI.3 Algebra

• JI.3.1 Extending patterns

  • JI.3.1.1 identify, copy and extend patterns in colour, shape and size

    • Colour patterns (J-H.1)
    • Size patterns (J-H.2)
    • Shape patterns (J-H.3)
    • What comes next? (J-H.4)
    • Shape patterns (S-H.3)
    • Complete a pattern (S-H.5)
    • Find the next row in a growing pattern (S-H.8)

JI.4 Shape and space

• JI.4.1 Spatial awareness

  • JI.4.1.1 explore, discuss, develop and use the vocabulary of spatial relations

    • Inside and outside (J-F.1)
    • Above and below (J-F.2)
    • Beside and next to (J-F.3)
    • Left and right (J-F.4)
    • Left, middle and right (J-F.5)
    • Top and bottom (J-F.6)
    • Top, middle and bottom (J-F.7)

• JI.4.2 3-D shapes

  • JI.4.2.1 sort 3-D shapes, regular and irregular

    • Flat and solid shapes (J-L.1)
    • Spheres (J-L.3)
    • Cubes (J-L.4)
    • Cones (J-L.5)
    • Cylinders (J-L.6)
    • Select solid shapes (J-L.7)

  • JI.4.2.2 solve tasks and problems involving shape.

    • Flat and solid shapes (J-L.1)
    • Name the solid shape (J-L.2)
    • Select solid shapes (J-L.7)

• JI.4.3 2-D shapes

  • JI.4.3.1 sort and name 2-D shapes: square, circle, triangle, rectangle

    • Name the shape (J-K.1)
    • Circles (J-K.2)
    • Squares (J-K.3)
    • Triangles (J-K.4)
    • Rectangles (J-K.5)
    • Circles, squares and triangles (J-K.6)

  • JI.4.3.2 use suitable structured materials to create pictures

  • JI.4.3.3 solve problems involving shape

    • Name the shape (J-K.1)

JI.5 Measures

• JI.5.1 Length

  • JI.5.1.1 develop an understanding of the concept of length through exploration, discussion, and use of appropriate vocabulary

    • Long and short (J-I.1)
    • Tall and short (J-I.2)
    • Wide and narrow (J-I.3)

  • JI.5.1.2 compare and order objects according to length or height.

    • Long and short (J-I.1)
    • Tall and short (J-I.2)
    • Wide and narrow (J-I.3)

• JI.5.2 Weight

  • JI.5.2.1 develop an understanding of the concept of weight through exploration, handling of objects, and use of appropriate vocabulary

    • Light and heavy (J-I.4)

  • JI.5.2.2 compare objects according to weight

• JI.5.3 Capacity

  • JI.5.3.1 develop an understanding of the concept of capacity through exploration and the use of appropriate vocabulary

    • Holds more or less (J-I.5)

  • JI.5.3.2 compare containers according to capacity

    • Holds more or less (J-I.5)

• JI.5.4 Time

  • JI.5.4.1 develop an understanding of the concept of time through the use of appropriate vocabulary

    • A.M. or P.M. (S-N.5)
    • Seasons (S-N.7)

  • JI.5.4.2 sequence daily events or stages in a story

    • Times of everyday events (S-N.6)

• JI.5.5 Money (use up to introduction of the euro)

  • JI.5.5.1 recognise and use coins (up to 5p)

  • JI.5.5.2 solve practical tasks and problems using money.

• JI.5.6 Money - euro

  • JI.5.6.1 recognise and use coins (up to 5 cents)

    • Coin values - 1c, 2c, 5c and 10c (J-J.1)

  • JI.5.6.2 solve practical tasks and problems using money.

    • Coin values - 1c, 2c, 5c and 10c (J-J.1)
    • Coin values - 20c, 50c, €1 and €2 (J-J.2)
    • Coin values - all coins (J-J.3)
    • Count 1c coins (J-J.4)

JI.6 Data

• JI.6.1 Recognising and interpreting data

  • JI.6.1.1 sort and classify sets of objects by one criterion

    • Same (J-G.1)
    • Different (J-G.2)
    • Same and different (J-G.3)
    • Classify shapes by colour (J-G.4)
    • Classify and sort by colour (J-G.5)
    • Classify and sort by shape (J-G.6)

  • JI.6.1.2 match sets, equal and unequal

    • Are there enough? (J-E.1)
    • More (J-E.2)
    • Fewer (J-E.3)
    • Fewer and more - compare by counting (J-E.4)
    • Compare in a mixed group (J-E.5)

  • JI.6.1.3 represent and interpret a set of simple mathematical data using real objects, models and pictures