Australia

Number

• AC9M5N01 Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

  • What decimal number is illustrated? (5-F.1)
  • Understanding decimals expressed in words (5-F.3)
  • Place values in decimal numbers (5-F.4)
  • Relationship between decimal place values (5-F.5)
  • Convert decimals between standard and expanded form (5-F.6)
  • Equivalent decimals (5-F.7)
  • Decimal number lines (5-F.9)
  • Compare decimals using models (5-F.10)
  • Compare decimals to a model (5-F.11)
  • Compare decimals on number lines (5-F.12)
  • Compare decimal numbers (5-F.13)
  • Put decimal numbers in order (5-F.14)

• AC9M5N02 Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another

  • Identify factors (5-E.1)
  • Prime factorisation (5-E.3)
  • Divisibility rules (5-E.4)
  • Divisibility rules: word problems (5-E.5)
  • Highest common factor (5-E.6)
  • Choose the multiples of a given number up to 12 (5-E.7)
  • Lowest common multiple (5-E.8)

• AC9M5N03 Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

  • Unit fractions on number lines (5-I.4)
  • Convert between improper fractions and mixed numbers (5-I.9)
  • Compare unit fractions using models (5-I.10)
  • Compare unit fractions using number lines (5-I.11)
  • Compare unit fractions (5-I.12)
  • Compare fractions with like denominators using models (5-I.13)
  • Compare fractions with like denominators using number lines (5-I.14)
  • Compare fractions with like denominators (5-I.15)
  • Compare fractions with unlike denominators using models (5-I.16)
  • Compare fractions with unlike denominators using number lines (5-I.17)
  • Compare fractions with unlike denominators (5-I.18)

• AC9M5N04 Recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

  • What percentage is illustrated? (5-M.1)
  • Convert fractions to percents using grid models (5-M.2)
  • Convert between percents, fractions and decimals (5-M.3)
  • Convert between percents, fractions and decimals: word problems (5-M.4)
  • Compare percents to each other and to fractions (5-M.5)
  • Compare percents and fractions: word problems (5-M.6)

• AC9M5N05 Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

  • Decompose fractions into unit fractions using models (5-J.1)
  • Decompose fractions into unit fractions (5-J.2)
  • Decompose fractions (5-J.3)
  • Decompose fractions multiple ways (5-J.4)
  • Add fractions with like denominators using area models (5-J.5)
  • Add fractions with like denominators using strip models (5-J.6)
  • Add fractions with like denominators using number lines (5-J.7)
  • Add fractions with like denominators (5-J.8)
  • Subtract fractions with like denominators using area models (5-J.9)
  • Subtract fractions with like denominators using strip models (5-J.10)
  • Subtract fractions with like denominators using number lines (5-J.11)
  • Subtract fractions with like denominators (5-J.12)
  • Add and subtract fractions with like denominators using number lines (5-J.13)
  • Add and subtract fractions with like denominators (5-J.14)
  • Add and subtract fractions with like denominators: word problems (5-J.15)
  • Add and subtract mixed numbers with like denominators (5-J.16)
  • Add and subtract mixed numbers with like denominators: word problems (5-J.17)
  • Add fractions with unlike denominators using models (5-J.18)
  • Add fractions with unlike denominators (5-J.19)
  • Subtract fractions with unlike denominators using models (5-J.20)
  • Subtract fractions with unlike denominators (5-J.21)
  • Add and subtract fractions with unlike denominators (5-J.22)
  • Add and subtract fractions with unlike denominators: word problems (5-J.23)
  • Add and subtract mixed numbers with unlike denominators (5-J.24)
  • Add and subtract mixed numbers with unlike denominators: word problems (5-J.25)

• AC9M5N06 Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers

  • Multiply one-digit numbers by three-digit or four-digit numbers using area models I (5-C.5)
  • Multiply one-digit numbers by three-digit or four-digit numbers using area models II (5-C.6)
  • Multiply one-digit numbers by three-digit or four-digit numbers using expanded form (5-C.7)
  • Multiply one-digit numbers by multi-digit numbers using partial products (5-C.8)
  • Multiply by one-digit numbers (5-C.9)
  • Multiply by one-digit numbers: word problems (5-C.10)
  • Multiply two-digit numbers by two-digit numbers using area models I (5-C.17)
  • Multiply two-digit numbers by two-digit numbers using area models II (5-C.18)
  • Multiply using the distributive property (5-C.20)
  • Use one multiplication fact to complete another (5-C.21)
  • Multiply two-digit numbers by two-digit numbers using partial products (5-C.22)
  • Multiply a two-digit number by a two-digit number: complete the missing steps (5-C.23)
  • Multiply a two-digit number by a two-digit number (5-C.24)
  • Box multiplication (5-C.25)
  • Lattice multiplication (5-C.26)
  • Multiply a two-digit number by a larger number: complete the missing steps (5-C.27)
  • Multiply a two-digit number by a larger number (5-C.28)
  • Multiply by two-digit numbers: word problems (5-C.29)
  • Multiply three or more numbers up to two digits each (5-C.30)
  • Multiply three or more numbers: word problems (5-C.31)

• AC9M5N07 Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

  • Divide two-digit numbers by one-digit numbers using arrays (5-D.5)
  • Divide using the distributive property (5-D.6)
  • Divide three-digit numbers by one-digit numbers using area models (5-D.7)
  • Divide using partial quotients (5-D.8)
  • Divide by one-digit numbers (5-D.9)
  • Divide by one-digit numbers: word problems (5-D.10)
  • Divide by one-digit numbers: interpret remainders (5-D.11)
  • Divide by two-digit numbers (5-D.18)

• AC9M5N08 Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context

  • Rounding (5-A.8)
  • Estimate sums and differences of whole numbers (5-B.8)
  • Estimate sums and differences: word problems (5-B.9)
  • Estimate products (5-C.15)
  • Estimate products: word problems (5-C.16)
  • Estimate quotients (5-D.12)
  • Estimate quotients: word problems (5-D.13)
  • Round decimals (5-F.8)
  • Estimate sums and differences of decimals (5-G.6)
  • Estimate products of whole numbers and decimals (5-H.1)
  • Estimate sums and differences of mixed numbers (5-J.30)
  • Multi-step word problems: identify reasonable answers (5-L.4)

• AC9M5N09 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

  • Add, subtract, multiply and divide whole numbers: word problems (5-K.2)
  • Add, subtract and multiply decimals: word problems (5-K.4)
  • Multi-step word problems (5-L.2)
  • Multi-step word problems involving remainders (5-L.3)
  • Word problems with extra or missing information (5-L.5)
  • Guess-and-check problems (5-L.6)
  • Add and subtract money amounts (5-N.1)
  • Add and subtract money: word problems (5-N.2)
  • Multiply money amounts: word problems (5-N.3)
  • Multiply money amounts with decimals: word problems (5-N.4)
  • Divide money amounts: word problems (5-N.5)
  • Divide money amounts with decimals: word problems (5-N.6)
  • Price lists (5-N.7)
  • Budget a weekly allowance: word problems (5-Z.1)
  • Reading financial records (5-Z.2)
  • Keeping financial records (5-Z.3)
  • Balance a budget (5-Z.4)
  • Adjust a budget (5-Z.5)

• AC9M5N010 Create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns

  • Divisibility rules (5-E.4)
  • Divisibility rules: word problems (5-E.5)

Algebra

• AC9M5A01 Recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

  • Multiplication facts to 10 (5-C.1)
  • Multiplication facts to 10: word problems (5-C.2)
  • Multiplication facts up to 10: find the missing factor (5-C.3)
  • Choose numbers with a particular product (5-C.32)
  • Division facts to 10 (5-D.1)
  • Division facts to 10: word problems (5-D.2)
  • Division facts up to 10: find the missing number (5-D.3)
  • Choose numbers with a particular quotient (5-D.17)

• AC9M5A02 Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

  • Multiplication number sentences up to 10: true or false? (5-C.4)
  • Division number sentences up to 10: true or false? (5-D.4)

Measurement

• AC9M5M01 Choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure

  • Choose the appropriate metric unit of measure (5-U.1)

• AC9M5M02 Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units

  • Perimeter of rectangles (5-Y.1)
  • Perimeter of polygons (5-Y.2)
  • Area of squares and rectangles (5-Y.3)
  • Area and perimeter of figures on grids (5-Y.4)
  • Area and perimeter: word problems (5-Y.5)
  • Use area and perimeter to determine cost (5-Y.6)

• AC9M5M03 Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

  • Convert between 12-hour and 24-hour time (5-T.5)
  • Schedules - 24-hour time (5-T.9)

• AC9M5M04 Estimate, construct and measure angles in degrees, using appropriate tools including a protractor, and relate these measures to angle names

  • Angles greater than, less than or equal to a right angle (5-V.4)
  • Angles of 90, 180, 270 and 360 degrees (5-V.5)
  • Acute, right, obtuse and straight angles (5-V.6)
  • Measure angles on a circle (5-V.7)
  • Measure angles with a protractor (5-V.8)
  • Draw angles with a protractor (5-V.9)
  • Estimate angle measurements (5-V.10)

Space

• AC9M5SP01 Connect objects to their nets and build objects from their nets using spatial and geometric reasoning

  • Identify faces of three-dimensional figures (5-X.3)
  • Nets of three-dimensional figures (5-X.4)
  • Three-dimensional figures viewed from different perspectives (5-X.5)

• AC9M5SP02 Construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement

  • Objects on a coordinate plane (5-P.1)
  • Graph points on a coordinate plane (5-P.2)
  • Coordinate planes as maps (5-P.3)
  • Follow directions on a coordinate plane (5-P.4)

• AC9M5SP03 Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries

  • Reflection, rotation and translation (5-W.3)

Statistics

• AC9M5ST01 Acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables, to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data

  • Frequency charts (5-R.10)
  • Find the mode (5-S.6)

• AC9M5ST02 Interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

  • Interpret line graphs (5-R.2)
  • Create line graphs (5-R.3)

• AC9M5ST03 Plan and conduct statistical investigations by posing questions or identifying a problem and collecting relevant data; choose appropriate displays and interpret the data; communicate findings within the context of the investigation

  • Read a table (5-R.1)
  • Choose the best type of graph (5-R.11)

Probability

• AC9M5P01 List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely

  • Understanding probability (5-S.1)
  • Find the probability (5-S.2)

• AC9M5P02 Conduct repeated chance experiments including those with and without equally likely outcomes, observe and record the results; use frequency to compare outcomes and estimate their likelihoods

  • Make predictions (5-S.3)