### WM: Working mathematically

#### WM.DF: Develop fluency

WM.DF.1: consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and roots

WM.DF.2: select and use appropriate calculation strategies to solve increasingly complex problems

WM.DF.3: use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships

WM.DF.5: move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]

WM.DF.6: develop algebraic and graphical fluency, including understanding linear and simple quadratic functions

WM.DF.7: use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.

#### WM.RM: Reason mathematically

WM.RM.1: extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations

WM.RM.2: extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically

WM.RM.3: identify variables and express relations between variables algebraically and graphically

WM.RM.4: make and test conjectures about patterns and relationships; look for proofs or counter-examples

WM.RM.6: interpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning

WM.RM.7: explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally.

#### WM.SP: Solve problems

WM.SP.3: begin to model situations mathematically and express the results using a range of formal mathematical representations

### A: Algebra

#### A.1: use and interpret algebraic notation, including:

A.1.1: ab in place of a × b

A.1.2: 3y in place of y + y + y and 3 × y

A.1.3: a² in place of a × a, a³ in place of a × a × a; a²b in place of a × a × b

A.1.4: a/b in place of a ÷ b

A.1.5: coefficients written as fractions rather than as decimals

A.1.6: brackets

#### A.4: simplify and manipulate algebraic expressions to maintain equivalence by:

A.4.2: multiplying a single term over a bracket

A.4.3: taking out common factors

### S: Statistics

#### S.3: describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs.

Correlation last revised: 7/28/2014

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.