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## Year 7

Here is a list of all of the skills students learn in pre-K! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. We will track your score, and the questions will automatically increase in difficulty as you improve!

L O: 1.1: Understand and use place value for decimals, measures and integers of any size
• Understanding place values in numbers and decimals
L O: 1.2: Round numbers and measures to an appropriate degree of accuracy
• Rounding numbers and decimals
L O: 1.3: Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers
• Understand, compare and sort integers, decimals and fractions
L O: 1.4: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
L O: 1.5: Use conventional notation for the priority of operations, including brackets
• Mixed operations
L O: 1.6: Define and interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, interpret fractions and percentages as operators
L O: 1.7: Use standard units of mass, length, time, money and other measures, including with decimal quantities
• Measurements using standard units
L O: 1.8: Use approximation through rounding to estimate answers and calculate possible resulting errors
L O: 1.9: Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property
• Number theory
L O: 2.1: Use and interpret algebraic notation. Substitute numerical values into formulae and expressions, including scientific formulae
• Interpret and solve algebraic notations and expressions
L O: 2.2: Use algebraic methods to solve linear equations in one and two variables. Model situations by using graphs
• Interpret and solve equations
L O: 2.3: Recognise geometric sequences and appreciate other sequences that arise.
• Arithmetic and geometric sequences
L O: 3.1: Express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1. Use ratio notation, including reduction to simplest form
• Equivalence of ratios and fractions
L O: 3.2: Divide a given quantity into two parts in a given part: part or part: whole ratio; express the division of a quantity into two parts as a ratio. Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions
• Interpret and solve ratios
L O: 3.3: Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics.
• Change in percentage and interest
L O: 4.1: Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, circles, volume of cuboids (including cubes) and other prisms (including cylinders)
• Area, Perimeter and volume of figures
L O: 4.2: Draw and measure line segments and angles in geometric figures, including interpreting scale drawings. Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures. Understand and use the relationship between parallel lines and alternate and corresponding angles
• Understand lines and angles and interpret these as properties of figures
L O: 4.3: Derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line
• Constructions
L O: 4.4: Identify figures that are reflectively and rotationally symmetric. Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures
• Translation, Reflection and Rotation
L O: 4.5: Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D
• Properties of a 3D shape
L O: 5.1: Record, describe and analyse the frequency of outcomes of simple probability experiments involving randomness, fairness, equally and unequally likely outcomes, using appropriate language and the 0-1 probability scale
• Interpret and find probability
L O: 5.2: Generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities.
• Compound events and their probabilities
L O: 6.1: Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)
• Mean, median and mode of discrete, continuous and grouped data
L O: 6.2: Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data
• Data graphs
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