Maths

Mathematics Foundation Tier Year 10

Pupils follow a balanced course leading to assessment in 4 attainment targets – Using and Applying Maths, Number and Algebra, Shape, Space and Measures and Handling Data.  The course is assessed by two 2-hour written examination papers.  One paper allows the use of a calculator and one paper does not.

Autumn Term

Number patterns and sequences

  • Discover number patterns, sequences involving addition, subtraction, multiplication and division. 

  • Find the rule for a number pattern using words. 

  • Use algebra to write the rule for the ‘ ’ term and then use this rule to find the value of a specific term.

  • Discover rules in spatial patterns. 

Algebra

  • Use letters to represent numbers in addition, subtraction, and multiplication and division problems.

  • Add with letters. 

  • Simplify expressions with one letter. 

  • Collect like terms.

  • Multiply with letters and numbers and then algebraic expressions. 

  • Use powers to multiply letters. 

  • Expand brackets in expressions. 

  • Add / Subtract expressions with brackets and simplify.

  • Understand and be able to form and use number machines.

  • Use and write word formulae.

  • Use algebraic formulae to represent a relationship between quantities and be able to substitute in various values, including negative values.

Fractions and Percentages

  • Interpret fractions from pictures and from words.

  • Understand improper fractions and mixed numbers.

  • Simplify fractions using common factors.

  • Equivalent fractions.

  • Using common denominators to compare the size of and order fractions.

  • Add and subtract fractions

  • Multiply a fraction by a whole number.

  • Multiply two mixed numbers.

  • Divide mixed numbers.

  • Divide fractions by a whole number.

  • Understand percentages.

  • Find a fraction of a quantity.

  • Calculate percentages of given amounts.

  • Use percentages to compare amounts.

  • Convert percentages to fractions and decimals and vice versa.

Household bills

  • Work out ‘real-life’ problems e.g. gas bills, telephone bills, salaries. 

Powers / Indices

  • Understand powers and use basic rules of indices.

  • Express numbers as a product of prime factors.

Spring Term

Measures

  • Estimate lengths, capacities and weights.

  • Choose appropriate metric and imperial units of measure.

  • Read scales including measuring the lengths of lines.

  • Tell the time from analogue and digital clocks.

  • Changing 12 hour to 24 hour clock and vice versa.

  • Convert between times, e.g. number of days in each month, weeks in a year. 

  • Change metric units for length, capacity and weight.

  • Calculate with time and dates.

  • Interpret timetables – bus and train.

  • Change metric to imperial units and vice versa.

Transformations

  • Recognise shapes that will tessellate and be able to continue the tessellating pattern.

  • Recognise shapes that have line and rotational symmetry.

  • Draw lines and planes of symmetry on simple shapes.

  • Recognise that translations are sliding movements.

  • Recognise and draw enlargements of shapes.

Angle Facts

  • Calculate angles on a straight line and around a point.

  • Calculate angles in triangles and quadrilaterals.

  • Recognising perpendicular and parallel lines.

  • Calculate angles in parallel lines and intersecting lines. 

Changing the Subject

  • Change the subject of a formula

Summer Term

Graphs

  • Plot co ordinates in the first quadrant initially, before using all four quadrants.

  • Plot linear graphs from tabulated data.

  • Construct linear graphs given a table of values / formula.

  • Interpret conversion graphs including Distance Time graphs.

  • Construct simple graphs parallel to the axes, straight line graphs and simple curved graphs.

Linear Equations

  • Solve simple equations. 

  • Solve equations combining operations.

  • Solve equations with brackets. 

  • Solve equations with terms and / or brackets on each side. 

Inequalities

  • Solve simple linear inequalities and show them on a number line.

Probability

  • Use the probability scale from 0 to 1.

  • Write probabilities as numbers.

  • Identify certain and impossible events.

  • Calculate the probability of an event not happening.

  • Identify all outcomes of a combination of 2 experiments using sample space diagrams, 2 way tables and tree diagrams and use them to solve problems.

  • Establish the estimated probability of an event happening using relative frequency and calculate the related estimated values, given the number of trials.

  • Understand and use that mutually exclusive events add up to 1e diagrams and two way tables.

Averages

  • Find mode, median and range from simple and grouped data.

  • Find mean from discrete data.

  • Find modal class, estimate the mean, median and range of sets of grouped data.

  • Find modal class, estimate the mean, median and range of sets of grouped data.