Maths Expectations Yr 7/8 (All Strands)

Maths Expectations By the End of Year 7

Number and algebra

In contexts that require them to solve problems or model situations, students will be able to:

• • apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

  • apply additive strategies to decimals

  • balance positive and negative amounts

  • find and represent relationships in spatial and number patterns, using:

  • - tables and graphs

  • - general rules for linear relationships.

Geometry and measurement ( L.O's for measurement L1-5)

In contexts that require them to solve problems or model situations, students will be able to:

• • measure time and the attributes of objects, using metric and other standard measures

  • make simple conversions between units, using whole numbers

  • use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions

  • sort two- and three-dimensional shapes into classes, defining properties and justifying the decisions made

  • identify and describe the transformations that have produced given shapes or patterns

  • create or identify nets for rectangular prisms and other simple solids

  • draw plan, front, side, and perspective views of objects

  • describe locations and give directions, using grid references, simple scales, turns, and points of the compass.

Statistics

In contexts that require them to solve problems or model situations, students will be able to:

• • investigate summary, comparison, and relationship questions by using the statistical enquiry cycle:

  • - gather or access multivariate category and measurement data

  • - sort data and display it in multiple ways, identifying patterns and variations

  • - interpret results in context, accepting that samples vary and have no effect on one another

  • order the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes.

Maths Expectations By the End of Year 8

Number and algebra

In contexts that require them to solve problems or model situations, students will be able to:

• • apply multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including decimals and percentages)

  • use multiplication and division as inverse operations on whole numbers

  • apply additive strategies flexibly to decimals and integers

  • find and represent relationships in spatial and number patterns, using:

  • - tables and graphs

  • - equations for linear relationships

  • - recursive rules for non-linear relationships

  • apply inverse operations to simple linear relationships.

During this school year, 'number' should be the focus of 40–60 percent of mathematics teaching time.

Geometry and measurement

In contexts that require them to solve problems or model situations, students will be able to:

• • use metric and other standard measures

  • make simple conversions between units, using decimals

  • use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids

  • sort two and three-dimensional shapes into classes, considering the relationships between the classes and justifying the decisions made

  • identify and describe the features of shapes or patterns that change or do not change under transformation

  • create or identify nets for rectangular prisms and other simple solids, given particular requirements

  • draw or make objects, given their plan, front, and side views or their perspective views

  • describe locations and give directions, using scales, bearings, and co-ordinates.

Statistics

In contexts that require them to solve problems or model situations, students will be able to:

• • investigate summary, comparison, and relationship questions by using the statistical enquiry cycle:

  • - gather or access multivariate category, measurement, and time-series data

  • - sort data and display it in multiple ways, identifying patterns, variations, relationships, and trends and using ideas about middle and spread where appropriate

  • - interpret results in context, identifying factors that produce uncertainty

  • express as fractions the likelihoods of outcomes for situations involving chance, checking for consistency between experimental results and models of all possible outcomes.