1. Numbers to 1,000 ~4 weeks

• Place value to 1,000

  B1.1

  read, represent, compose, and decompose whole numbers up to and including 1000, using a variety of tools and strategies, and describe various ways they are used in everyday life

  Source

  B1.5

  use place value when describing and representing multi-digit numbers in a variety of ways, including with base ten materials

  Source

• Comparing and ordering numbers to 1,000

  B1.2

  compare and order whole numbers up to and including 1000, in various contexts

  Source

• Counting by 50s, 100s and 200s

  B1.4

  count to 1000, including by 50s, 100s, and 200s, using a variety of tools and strategies

  Source

• collect data through observations, experiments, and interviews to answer questions of interest that focus on qualitative and quantitative data, and organize the data using frequency tables

  D1.2

  collect data through observations, experiments, and interviews to answer questions of interest that focus on qualitative and quantitative data, and organize the data using frequency tables

  Source

  Practice coming soon

Keep practising

2. Rounding, adding and subtracting within 1,000 ~4 weeks

• Rounding to the nearest ten or hundred

  B1.3

  round whole numbers to the nearest ten or hundred, in various contexts

  Source

• Using multiplication facts to divide

  B2.1

  use the properties of operations, and the relationships between multiplication and division, to solve problems and check calculations

  Source

  B2.6

  represent multiplication of numbers up to 10 × 10 and division up to 100 ÷ 10, using a variety of tools and drawings, including arrays

  Source

• Addition and subtraction within 1,000

  B2.4

  demonstrate an understanding of algorithms for adding and subtracting whole numbers by making connections to and describing the way other tools and strategies are used to add and subtract

  Source

  B2.5

  represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 1000, using various tools and algorithms

  Source

• Equal expressions and missing numbers

  C2.2

  determine whether given sets of addition, subtraction, multiplication, and division expressions are equivalent or not

  Source

  C2.3

  identify and use equivalent relationships for whole numbers up to 1000, in various contexts

  Source

Keep practising

3. Patterns, variables and equality ~3 weeks

• Patterns that repeat numbers or steps

  C1.1

  identify and describe repeating elements and operations in a variety of patterns, including patterns found in real-life contexts

  Source

  C1.2

  create and translate patterns that have repeating elements, movements, or operations using various representations, including shapes, numbers, and tables of values

  Source

• Number patterns to 1,000

  C1.3

  determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in patterns that have repeating elements, movements, or operations

  Source

  C1.4

  create and describe patterns to illustrate relationships among whole numbers up to 1000

  Source

• A letter can stand for a number

  C2.1

  describe how variables are used, and use them in various contexts as appropriate

  Source

Keep practising

4. Multiplication and division concepts; money ~4 weeks

• Multiplication facts of 2, 5 and 10 (and related division facts)

  B2.2

  recall and demonstrate multiplication facts of 2, 5, and 10, and related division facts

  Source

• Representing multiplication to 10 × 10 and division to 100 ÷ 10 with arrays

  B2.6

  represent multiplication of numbers up to 10 × 10 and division up to 100 ÷ 10, using a variety of tools and drawings, including arrays

  Source

• Multiplication and division problems (including groups of 1/2, 1/4, 1/3)

  B2.7

  represent and solve problems involving multiplication and division, including problems that involve groups of one half, one fourth, and one third, using tools and drawings

  Source

• Groups of one half, one third and one fourth

  B2.7

  represent and solve problems involving multiplication and division, including problems that involve groups of one half, one fourth, and one third, using tools and drawings

  Source

• Making change from whole dollars

  F1.1

  estimate and calculate the change required for various simple cash transactions involving whole-dollar amounts and amounts of less than one dollar

  Source

Keep practising

5. 3D objects and perimeter ~3 weeks

• Perimeter of polygons

  E2.1

  use appropriate units of length to estimate, measure, and compare the perimeters of polygons and curved shapes, and construct polygons with a given perimeter

  Source

• Millimetres, centimetres, metres and kilometres

  E2.2

  explain the relationships between millimetres, centimetres, metres, and kilometres as metric units of length, and use benchmarks for these units to estimate lengths

  Source

• sort, construct, and identify cubes, prisms, pyramids, cylinders, and cones by comparing their faces, edges, vertices, and angles

  E1.1

  sort, construct, and identify cubes, prisms, pyramids, cylinders, and cones by comparing their faces, edges, vertices, and angles

  Source

  Practice coming soon

• compose and decompose various structures, and identify the two-dimensional shapes and three-dimensional objects that these structures contain

  E1.2

  compose and decompose various structures, and identify the two-dimensional shapes and three-dimensional objects that these structures contain

  Source

  Practice coming soon

• identify congruent lengths, angles, and faces of three-dimensional objects by mentally and physically matching them, and determine if the objects are congruent

  E1.3

  identify congruent lengths, angles, and faces of three-dimensional objects by mentally and physically matching them, and determine if the objects are congruent

  Source

  Practice coming soon

• use various units of different sizes to measure the same attribute of a given item, and demonstrate that even though using different-sized units produces a different count, the size of the attribute remains the same

  E2.5

  use various units of different sizes to measure the same attribute of a given item, and demonstrate that even though using different-sized units produces a different count, the size of the attribute remains the same

  Source

  Practice coming soon

Keep practising

6. Fractions and scaling ~4 weeks

• Fair shares and equivalent fractions

  B1.6

  use drawings to represent, solve, and compare the results of fair-share problems that involve sharing up to 20 items among 2, 3, 4, 5, 6, 8, and 10 sharers, including problems that result in whole numbers, mixed numbers, and fractional amounts

  Source

  B1.7

  represent and solve fair-share problems that focus on determining and using equivalent fractions, including problems that involve halves, fourths, and eighths; thirds and sixths; and fifths and tenths

  Source

• Fractions as unit fractions added together

  B2.8

  represent the connection between the numerator of a fraction and the repeated addition of the unit fraction with the same denominator using various tools and drawings, and standard fractional notation

  Source

• Scaling up with 1 to 2, 1 to 5 and 1 to 10

  B2.9

  use the ratios of 1 to 2, 1 to 5, and 1 to 10 to scale up numbers and to solve problems

  Source

Keep practising

7. Coding, location and movement ~3 weeks

• solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, and repeating events

  C3.1

  solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, and repeating events

  Source

  Practice coming soon

• read and alter existing code, including code that involves sequential, concurrent, and repeating events, and describe how changes to the code affect the outcomes

  C3.2

  read and alter existing code, including code that involves sequential, concurrent, and repeating events, and describe how changes to the code affect the outcomes

  Source

  Practice coming soon

• give and follow multistep instructions involving movement from one location to another, including distances and half- and quarter-turns

  E1.4

  give and follow multistep instructions involving movement from one location to another, including distances and half- and quarter-turns

  Source

  Practice coming soon

Keep practising

8. Data and probability ~3 weeks

• Sorting by two things at once

  D1.1

  sort sets of data about people or things according to two and three attributes, using tables and logic diagrams, including Venn, Carroll, and tree diagrams, as appropriate

  Source

• Pictographs and bar graphs with scales

  D1.3

  display sets of data, using many-to-one correspondence, in pictographs and bar graphs with proper sources, titles, and labels, and appropriate scales

  Source

• Mean and mode of a small data set

  D1.4

  determine the mean and identify the mode(s), if any, for various data sets involving whole numbers, and explain what each of these measures indicates about the data

  Source

• Reading a graph that counts by 2s, 5s or 10s

  D1.5

  analyse different sets of data presented in various ways, including in frequency tables and in graphs with different scales, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions

  Source

• How likely is it?

  D2.1

  use mathematical language, including the terms “impossible”, “unlikely”, “equally likely”, “likely”, and “certain”, to describe the likelihood of events happening, and use that likelihood to make predictions and informed decisions

  Source

• make and test predictions about the likelihood that the mean and the mode(s) of a data set will be the same for data collected from different populations

  D2.2

  make and test predictions about the likelihood that the mean and the mode(s) of a data set will be the same for data collected from different populations

  Source

  Practice coming soon

Keep practising

9. Capacity, mass, area and time ~4 weeks

• Telling time in hours, minutes and seconds

  E2.6

  use analog and digital clocks and timers to tell time in hours, minutes, and seconds

  Source

• Area in square centimetres

  E2.9

  use square centimetres (cm²) and square metres (m²) to estimate, measure, and compare the areas of various two-dimensional shapes, including those with curved sides

  Source

• use non-standard units appropriately to estimate, measure, and compare capacity, and explain the effect that overfilling or underfilling, and gaps between units, have on accuracy

  E2.3

  use non-standard units appropriately to estimate, measure, and compare capacity, and explain the effect that overfilling or underfilling, and gaps between units, have on accuracy

  Source

  Practice coming soon

• compare, estimate, and measure the mass of various objects, using a pan balance and non-standard units

  E2.4

  compare, estimate, and measure the mass of various objects, using a pan balance and non-standard units

  Source

  Practice coming soon

• compare the areas of two-dimensional shapes by matching, covering, or decomposing and recomposing the shapes, and demonstrate that different shapes can have the same area

  E2.7

  compare the areas of two-dimensional shapes by matching, covering, or decomposing and recomposing the shapes, and demonstrate that different shapes can have the same area

  Source

  Practice coming soon

• use appropriate non-standard units to measure area, and explain the effect that gaps and overlaps have on accuracy

  E2.8

  use appropriate non-standard units to measure area, and explain the effect that gaps and overlaps have on accuracy

  Source

  Practice coming soon

Keep practising

10. Consolidation: multiplication, division and money problems ~3 weeks

Keep practising