Search results

Result list

• VCMNA162

  Solve word problems by using number sentences involving multiplication or division where there is no remainder

  Elaborations

  • representing a word problem as a number sentence
  • writing a word problem using a given number sentence

  VCMNA162 | Mathematics | Level 4 | Number and Algebra | Patterns and algebra

• VCMNA193

  Use equivalent number sentences involving multiplication and division to find unknown quantities

  Elaborations

  • using relevant problems to develop number sentences

  VCMNA193 | Mathematics | Level 5 | Number and Algebra | Patterns and algebra

• VCMNA245

  Express one quantity as a fraction of another, with and without the use of digital technologies

  Elaborations

  • using examples for the quantities to be expressed and understanding the reasons for the calculations

  VCMNA245 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA243

  Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

  Elaborations

  • exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

  VCMNA243 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA248

  Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

  Elaborations

  • using authentic problems to express quantities as percentages of other amounts

  VCMNA248 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA242

  Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

  Elaborations

  • exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

  VCMNA242 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA272

  Use index notation with numbers to establish the index laws with positive integral indices and the zero index

  Elaborations

  • evaluating numbers expressed as powers of positive integers

  VCMNA272 | Mathematics | Level 8 | Number and Algebra | Number and place value

• VCMNA244

  Multiply and divide fractions and decimals using efficient written strategies and digital technologies

  Elaborations

  • investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication

  VCMNA244 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA246

  Round decimals to a specified number of decimal places

  Elaborations

  • using rounding to estimate the results of calculations with whole numbers and decimals, and understanding the conventions for rounding

  VCMNA246 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA247

  Connect fractions, decimals and percentages and carry out simple conversions

  Elaborations

  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use

  VCMNA247 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA249

  Recognise and solve problems involving simple ratios

  Elaborations

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem

  VCMNA249 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA273

  Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies and make estimates for these computations

  Elaborations

  • using patterns to assist in finding rules for the multiplication and division of integers
  • using the number line to develop strategies for adding and subtracting rational numbers
  • making an estimate for the total of a family weekly grocery bill with consideration of accuracy of the estimate, or for problems involving the circumference and area of a circle

  VCMNA273 | Mathematics | Level 8 | Number and Algebra | Number and place value

• VCMNA328

  Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies

  Elaborations

  • working with authentic information, data and interest rates to calculate compound interest and solve related problems

  VCMNA328 | Mathematics | Level 10 | Number and Algebra | Money and financial mathematics

• VCMNA329

  Factorise algebraic expressions by taking out a common algebraic factor

  Elaborations

  • using the distributive law and the index laws to factorise algebraic expressions
  • understanding the relationship between factorisation and expansion

  VCMNA329 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA330

  Simplify algebraic products and quotients using index laws

  Elaborations

  • applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices

  VCMNA330 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA333

  Substitute values into formulas to determine an unknown and re-arrange formulas to solve for a particular term

  Elaborations

  • solving simple equations arising from formulas
  • re-arranging expressions to make a specified variable the subject such as calculating the radius of a sphere to produce a given volume

  VCMNA333 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA332

  Expand binomial products and factorise monic quadratic expressions using a variety of strategies

  Elaborations

  • exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations
  • identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs
  • using the identities for perfect squares and the difference of squares to factorise quadratic expressions

  VCMNA332 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA331

  Apply the four operations to simple algebraic fractions with numerical denominators

  Elaborations

  • expressing the sum and difference of algebraic fractions with a common denominator
  • using the index laws to simplify products and quotients of algebraic fractions

  VCMNA331 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA255

  Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

  Elaborations

  • plotting points from a table of integer values and recognising simple patterns, such as points that lie on a straight line

  VCMNA255 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships

• VCMNA256

  Solve simple linear equations

  Elaborations

  • solving equations using concrete materials, such as the balance model, and explain the need to do the same thing to each side of the equation using substitution to check solutions
  • investigating a range of strategies to solve equations

  VCMNA256 | Mathematics | Level 7 | Number and Algebra | Linear and non-linear relationships