Цели программы

Результатов: 71

Thinking and Working Mathematically

TWM.01 Specialising
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TWM.02 Generalising
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TWM.03 Conjecturing
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TWM.04 Convincing
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TWM.05 Characterising
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TWM.06 Classifying
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TWM.07 Critiquing
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TWM.08 Improving
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Number

Integers, powers and roots

7Ni.01 Estimate, add and subtract integers, recognising generalisations.
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7Ni.02 Understand that brackets, positive indices and operations follow a particular order.
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7Ni.03 Estimate, multiply and divide integers including where one integer is negative.
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7Ni.04 Understand lowest common multiple and highest common factor (numbers less than 100).
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7Ni.05 Use knowledge of tests of divisibility to find factors of numbers greater than 100.
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7Ni.06 Understand the relationship between squares and corresponding square roots, and cubes and corresponding cube roots.
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Place value, ordering and rounding

7Np.01 Use knowledge of place value to multiply and divide whole numbers and decimals by any positive power of 10.
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7Np.02 Round numbers to a given number of decimal places.
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Fractions, decimals, percentages, ratio and proportion

7Nf.01 Recognise that fractions, terminating decimals and percentages have equivalent values.
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7Nf.02 Estimate and add mixed numbers, and write the answer as a mixed number in its simplest form.
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7Nf.03 Estimate, multiply and divide proper fractions.
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7Nf.04 Use knowledge of common factors, laws of arithmetic and order of operations to simplify calculations containing decimals or fractions.
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7Nf.05 Recognise percentages of shapes and whole numbers, including percentages less than 1 or greater than 100.
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7Nf.06 Understand the relative size of quantities to compare and order decimals and fractions, using the symbols =, ≠, > and <.
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7Nf.07 Estimate, add and subtract positive and negative numbers with the same or different number of decimal places.
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7Nf.08 Estimate, multiply and divide decimals by whole numbers.
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7Nf.09 Understand and use the unitary method to solve problems involving ratio and direct proportion in a range of contexts.
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7Nf.10 Use knowledge of equivalence to simplify and compare ratios (same units).
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7Nf.11 Understand how ratios are used to compare quantities to divide an amount into a given ratio with two parts.
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Algebra

Expressions, equations and formulae

7Ae.01 Understand that letters can be used to represent unknown numbers, variables or constants.
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7Ae.02 Understand that the laws of arithmetic and order of operations apply to algebraic terms and expressions (four operations).
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7Ae.03 Understand how to manipulate algebraic expressions including: collecting like terms and applying the distributive law with a constant.
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7Ae.04 Understand that a situation can be represented either in words or as an algebraic expression, and move between the two representations (linear with integer coefficients).
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7Ae.05 Understand that a situation can be represented either in words or as a formula (single operation), and move between the two representations.
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7Ae.06 Understand that a situation can be represented either in words or as an equation. Move between the two representations and solve the equation (integer coefficients, unknown on one side).
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7Ae.07 Understand that letters can represent an open interval (one term).
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Sequences, functions and graphs

7As.01 Understand term-to-term rules, and generate sequences from numerical and spatial patterns (linear and integers).
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7As.02 Understand and describe nth term rules algebraically (in the form n ± a, a × n where a is a whole number).
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7As.03 Understand that a function is a relationship where each input has a single output. Generate outputs from a given function and identify inputs from a given output by considering inverse operations (linear and integers).
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7As.04 Understand that a situation can be represented either in words or as a linear function in two variables (of the form y = x + c or y = mx), and move between the two representations.
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7As.05 Use knowledge of coordinate pairs to construct tables of values and plot the graphs of linear functions, where y is given explicitly in terms of x (y = x + c or y = mx).
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7As.06 Recognise straight-line graphs parallel to the x- or y-axis.
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7As.07 Read and interpret graphs related to rates of change. Explain why they have a specific shape.
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Geometry and Measure

Geometrical reasoning, shapes and measurements

7Gg.01 Identify, describe and sketch regular polygons, including reference to sides, angles and symmetrical properties.
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7Gg.02 Understand that if two 2D shapes are congruent, corresponding sides and angles are equal.
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7Gg.03 Know the parts of a circle: centre, radius, diameter, circumference, chord, tangent.
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7Gg.04 Understand the relationships and convert between metric units of area, including hectares (ha), square metres (m²), square centimetres (cm²) and square millimetres (mm²).
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7Gg.05 Derive and know the formula for the area of a triangle. Use the formula to calculate the area of triangles and compound shapes made from rectangles and triangles.
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7Gg.06 Identify and describe the combination of properties that determine a specific 3D shape.
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7Gg.07 Derive and use a formula for the volume of a cube or cuboid. Use the formula to calculate the volume of compound shapes made from cuboids, in cubic metres (m³), cubic centimetres (cm³) and cubic millimetres (mm³).
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7Gg.08 Visualise and represent front, side and top view of 3D shapes.
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7Gg.09 Use knowledge of area, and properties of cubes and cuboids to calculate their surface area.
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7Gg.10 Identify reflective symmetry and order of rotational symmetry of 2D shapes and patterns.
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7Gg.11 Derive the property that the sum of the angles in a quadrilateral is 360°, and use this to calculate missing angles.
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7Gg.12 Know that the sum of the angles around a point is 360º, and use this to calculate missing angles.
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7Gg.13 Recognise the properties of angles on: parallel lines and transversals, perpendicular lines, intersecting lines.
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7Gg.14 Draw parallel and perpendicular lines, and quadrilaterals.
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Position and transformation

7Gp.01 Use knowledge of scaling to interpret maps and plans.
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7Gp.02 Use knowledge of 2D shapes and coordinates to find the distance between two coordinates that have the same x or y coordinate (without the aid of a grid).
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7Gp.03 Use knowledge of translation of 2D shapes to identify the corresponding points between the original and the translated image, without the use of a grid.
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7Gp.04 Reflect 2D shapes on coordinate grids, in a given mirror line (x- or y-axis), recognising that the image is congruent to the object after a reflection.
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7Gp.05 Rotate shapes 90° and 180° around a centre of rotation, recognising that the image is congruent to the object after a rotation.
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7Gp.06 Understand that the image is mathematically similar to the object after enlargement. Use positive integer scale factors to perform and identify enlargements.
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Statistics and Probability

Statistics

7Ss.01 Select and trial data collection and sampling methods to investigate predictions for a set of related statistical questions, considering what data to collect (categorical, discrete and continuous data).
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7Ss.02 Understand the effect of sample size on data collection and analysis.
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7Ss.03 Record, organise and represent categorical, discrete and continuous data. Choose and explain which representation to use in a given situation: Venn and Carroll diagrams; tally charts, frequency tables and two-way tables; dual and compound bar charts; waffle diagrams and pie charts; frequency diagrams for continuous data; line graphs; scatter graphs; infographics.
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7Ss.04 Use knowledge of mode, median, mean and range to describe and summarise large data sets. Choose and explain which one is the most appropriate for the context.
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7Ss.05 Interpret data, identifying patterns, within and between data sets, to answer statistical questions. Discuss conclusions, considering the sources of variation, including sampling, and check predictions.
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Probability

7Sp.01 Use the language associated with probability and proportion to describe, compare, order and interpret the likelihood of outcomes.
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7Sp.02 Understand and explain that probabilities range from 0 to 1, and can be represented as proper fractions, decimals and percentages.
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7Sp.03 Identify all the possible mutually exclusive outcomes of a single event, and recognise when they are equally likely to happen.
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7Sp.04 Understand how to find the theoretical probabilities of equally likely outcomes.
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7Sp.05 Design and conduct chance experiments or simulations, using small and large numbers of trials. Analyse the frequency of outcomes to calculate experimental probabilities.
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