Calculations. Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using

Transcription

1 Duration (approx.) 2 weeks Whole Number Calculations inequality notation a<x b. Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multistep " Order of operations Mental addition and subtraction Mental multiplication and division Addition and subtraction problems Multiplication and division problems Mental multiplication and division Mental addition and subtraction problems Arithmetic with negative integers Skills and concepts to be developed and assessed (linking to identified AOs) Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals. Understand and use place value for decimals, measures and integers of any size. Use the 4 operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative. Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x b. Begin to model situations mathematically and express the results using a range of formal mathematical representations. Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using 1 hour written assessment in Spring 2. Number bonds 4 operations with numbers. Number topics are built upon throughout the year.

2 Duration (approx.) Planning a survey Collecting data Pie charts Bar charts and frequency diagrams Averages Averages from frequency tables Scatter graphs and correlation Stem-and-leaf diagrams Interpreting statistical diagrams Comparing distributions. Comparing data sets. Statistical reports. Skills and concepts: 2 weeks Statistics 1 hour written assessment during Spring 2 which is based on modules This topic will build upon the statistics module in Year 7. Explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally. 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. 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). Data topics are built upon throughout the year. This topic is revisited and extended in the spring term of year 9.

3 This topic will be revisit and extend transformations taught in year 7. Reflection Reflection symmetry Rotation Rotational symmetry Translation Tessellation Combined transformations Enlargements Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures. Describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric. Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids. Key marking task. Transformations and Symmetry 1 hour written assessment during Spring 2. Geometry and Measure topics are built upon throughout the year.

4 Equations This topic builds upon basic algebra skills. One-step equations Equation puzzles Two-step equations Making equations Real life equations Equations with fractions. Skills and concepts to be developed and assessed (linking to identified AOs) Developing the ability to communicate The next algebra topic is taught in the summer term. Use algebraic methods to solve linear equations in 1 variable (including all forms that require rearrangement). Substitute values in expressions, rearrange and simplify expressions, and solve equations." Interpret mathematical relationships both algebraically and geometrically. 1 hour written assessment during Spring 2.

5 This topic will revisit and extend basic number skills. Written addition and subtraction Written multiplication Written division Written arithmetic problems Calculator skills Order of operations Addition and subtraction problems Multiplication and division problems Calculation methods Use the 4 operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative. Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x b." Use a calculator and other technologies to calculate results accurately and then interpret them appropriately. Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals. Factors and Multiples Number topics are built upon throughout the year.

6 This topic will build upon construction techniques taught in Year 7. Lines and angles Constructing a triangle Scale drawing Bisectors Constructing perpendiculars and bisectors Loci Scale drawings Bearings Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids. 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. Use scale factors, scale diagrams and maps. Draw and measure line segments and angles in geometric figures, including interpreting scale drawings. Key marking task. Constructions and 3D Shapes Geometry and Measure topics are built upon throughout the 5 year scheme of work. This module is extended in Year 8 14.