The relationship between perfect square numbers and square roots, and...
describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
Year 7 Maths
Choose a unit below. Every green Live label marks a complete learning path with the same eight questions used in Worksheet, Practice and Test.
Elaborations are curriculum teaching examples. Coverage points show how many curriculum ideas guide the unit.
describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
represent natural numbers as products of powers of prime numbers using exponent notation
represent natural numbers in expanded notation using place value and powers of 10
find equivalent representations of rational numbers and represent rational numbers on a number line
round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
compare, order and solve problems involving addition and subtraction of integers
recognise, represent and solve problems involving ratios
use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
formulate algebraic expressions using constants, variables, operations and brackets
solve one-variable linear equations with natural number solutions; verify the solution by substitution
describe relationships between variables represented in graphs of functions from authentic data
generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
describe the relationship between π and the features of circles including the circumference, radius and diameter
identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons
demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles
use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation
represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work
acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data
create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode
plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics
identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences