Bishop Walsh School Mathematics Department Year 10 Revision List

Bishop Walsh School Mathematics Department Year 10 Revision List Sets 10W1, 10E1 & 10E2 - Higher Topic ANGLES & SHAPES 1 ANGLES & SHAPES 2 RATIO & PR...
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Bishop Walsh School Mathematics Department Year 10 Revision List Sets 10W1, 10E1 & 10E2 - Higher Topic ANGLES & SHAPES 1

ANGLES & SHAPES 2 RATIO & PROPORTION

ALGEBRA 1

FACTORISE QUADRATICS AREA & PERIMETER 1 CIRCLES

VOLUME & SURFACE AREA

LINEAR EQUATIONS LINEAR INEQUALITIES FORMULAE (SUBSTITUTION & CHANGING THE SUBJECT) NUMBER 1 STANDARD FORM

INDICES

SURDS

GRAPHS 1

REAL LIFE GRAPHS REVISION PYTHAGORAS’ THEOREM

1

Skills Properties of triangles & quadrilaterals Angles at a point, on a straight line, in a triangle, quadrilateral etc Corresponding & alternate angles Calculate angles in polygons Use Bearings Write ratios in their simplest form Divide a quantity in a given ratio Solve a ratio problem in a context Simplify algebraic expressions Multiply out brackets Use FOIL rule Understand fractional, negative and zero powers Factorise by taking out common factors Factorise quadratic expressions Find the perimeter of a rectangle, triangle, compound shape or other shape. Find the area of a rectangle, triangle, parallelogram and trapezium. Find areas and circumference of circles Find the surface area and volume of cuboids, prisms and cylinders. Find areas and volumes using more complex shapes and solids, including cones, pyramids, spheres, hemispheres, segments of circles and frustums of cones. Use volume and surface area to solve problems. Set up and solve linear equations, including hard ones and with x on both sides. Represent inequalities on the number line. Solve linear inequalities. Substitute numbers into a formula. Use formulae to solve problems. Change the subject of a formula. Factors, multiples & primes Prime factor trees Highest common factor and lowest common multiple Use brackets and BODMAS Convert between ordinary numbers and standard form Use standard form in calculations Use index laws to simplify expressions. (multiplying, dividing and power of a power) Use fractional and negative powers. Use surds and π in exact calculations Simplify expressions involving surds Rationalise a denominator Use coordinates Plot straight line graphs Use y = mx + c Find gradients of parallel and perpendicular lines Draw and interpret straight line graphs for real-life situations Draw and interpret distance-time graphs Use Pythagoras’ theorem in right angled triangles

Maths Watch Clips Clip 68 – Angle Sum of a Triangle (Grade C) Clip 69 – Properties of Special Triangles (Grade C) Clip 67 – Alternate Angles (Grade C) Clip 36 – Triangles, Quadrilaterals & Polygons (Grade E/F/G) Clip 70 – Angles of Regular Polygons (Grade D) Clip 131 - Bearings ( Grade C) Clip 23 – Proportion (Grade E/F/G) Clip 61 – Ratio (Grade D) Clip 94 – Ratio (Grade C) Clip 62 – Proportion Recipe Type Questions (Grade D) Clip 102 – Algebraic Simplification (Grade C) Clip 103 – Expanding and Simplifying Brackets (Grade C) Clip 104 – Factorisation (Grade C)

Clip 140 – Solving Quadratic Equations by Factorising ( B) Clip 141 – Difference of two Squares (Grade B) Clip 33 – Perimeter & Area (Grade E/F/G) Clip 73 – Area of compound shapes (Grade D) Clip 71 – Area of a Circle (Grade D) Clip 72 – Circumference of a Circle (Grade D) Clip 121 - Surface area of Cuboids (Grade C) Clip 122 – Volume of a Prism (Grade C) Clip 178 – Segments & Frustrums (Grade A/A*) Clip 177 – Cones and Spheres (Grade A/A*)

Clip 106 – Forming Equations (Grade C) Clip 105 – Solving Equations (Grade C) Clip 108 – Inequalities (Grade C) Clip 109 – Solving Inequalities (Grade C) Clip 107 – Changing the Subject of a Formula (Grade C) Clip 66 – Substitution (Grade D) Clip 164 – Rearranging Difficult Formulae (Grade A/A*) Clip 97 – Standard Form (Grade C) Clip 135 – Standard Form Calculation(Grade B)

Clip 111 – Index Notation for Multiplication & Division (C) Clip 156 - Fractional and Negative Indices (Grade A/A*) Clip 157 – Surds (Grade A/A*) Clip 158 – Rationalising the Denominator (Grade A/A*) Clip 78 – Find the Mid-Point of a Line (grade D) Clip 143 – Understanding y = mx + c (grade B) Clip 166 – Gradients of Parallel & Perpendicular Lines ( A/A*) Clip 117 – Real Life Graphs (Grade C) Clip 113 – Drawing Straight Line Graphs (Grade C) Clip 118 – Pythagoras Theorem (Grade C) Clip 119 – Pythagoras Line on a Graph Clip 174 – Pythagoras in 3D (Grade A/A*)

TRIGONOMETRY 1 PROBABILITY

INEQUALITIES & REGIONS GRAPHS 2

Understand, recall and use sin, cos and tan in right-angled triangles, and use these to solve problems in 2-D and in 3-D. Use the probability scale Calculate probabilities, including the probability of successive events, knowing when to x and when to +. Use relative frequency Estimate the number of times an event will occur List all outcomes systematically Use and draw sample space diagrams Draw and use a probability tree diagrams Show the solution set of several inequalities in two variables on a graph, by drawing lines and shading regions. 2 Plot graphs of quadratic functions (equations involving x ) Plot graphs of simple cubic functions (equations involving 3 x x ), and graphs such as y = 1/x , y = 3 , y = sin x and y = 2 2 2 cos x, x + y = r (circle). Recognise the characteristic shapes of all these functions.

ACCURATE DRAWING & SCALE DRAWING DRAWING 3-D SHAPES

Measure and draw lines angles and make accurate drawings using a ruler and a protractor. Use scale diagrams and bearings. Use 2-D representations of 3-D shapes, including using coordinates, isometric grids, front & side elevations and plan views. Draw nets and show how they fold to make a 3-D solid.

CONSTRUCTION & LOCI

Use a ruler and a compass to do standard loci and constructions, e.g. construct triangles, perpendicular bisectors, etc.

CIRCLE GEOMETRY

Understand and use circle theorems to calculate angles.

ROUNDING & ESTIMATING

Round numbers using decimal places and significant figures Estimate answers to calculations, including use of rounding

BOUNDS

Calculate the upper and lower bounds of calculations.

COLLECTING & RECORDING DATA

Use two way tables and lists Design an experiment or survey and use suitable data collection techniques Use random and stratified sampling. Criticise questions for a questionnaire. Solve simple quadratic equations by using the quadratic formula Solve simple quadratic equations by factorisation and completing the square

QUADRATIC EQUATIONS

2

Clip 147 – Trigonometry (Grade B) Clip 175- Trigonometry in 3D (Grade A/A*) Clip 91 – Mutually Exclusive Events (Grade D) Clip 182 – Probability “AND” & “OR” Questions (A/A*) Clip 154 – Tree Diagrams (Grade B)

Clip 144 – Regions (Grade B) Clip 116 – Drawing Quadratic Graphs (Grade C) Clip 145 – Graphs of Cubic and Reciprocal Functions (B) Clip 146 – Recognise the Shapes of Functions (Grade B) Clip 170 – Graphs of exponential Functions (Grade A/A*) Clip 168 – Graphs of Trigonometric Functions (Grade A/A*) Clip 172 - Equations of Circle and Loci (Grade A/A*) Clip 79 – Measuring & Drawing Angles (Grade D) Clip 80 – Drawing Triangles (Grade D) Clip 39 – isometric Drawing (Grade E/F/G) Clip 37 – Names of Solids (Grade E/F/G) Clip 34 - Volume of cuboids (Grade E/F/G) Clip 82 – Nets (Grade D) Clip 81 – Plans & Elevations (Grade D Clip 120 – 3D Coordinates Clip 80 – Drawing Triangles (Grade D) Clip 127 – Bisecting a Line (Grade C) Clip 128 – Drawing a Perpendicular to a Line (Grade C) Clip 129 – Bisecting an Angle (Grade C) Clip 130 – Loci (Grade C) Clip 150 – Circle Theorems Clip 20 –Decimal Places & Significant Places (Grade E/F/G) Clip 14 – Estimation (Grade E/F/G) Clip 101 – Estimating Answers (Grade C) Clip 125 – Upper and Lower Bounds (Grade C) Clip 160 – Upper and Lower Bound Difficult Questions (A/A*) Clip 84 – Questionnaires and Data Collection (Grade D) Clip 134 – Questionnaires (Grade C) Clip 183 – Stratified sampling (Grade A/A*)

Clip 161-Solving Quadratics Using the Formula (A/A*) Clip 162-Solving Quadratics by Completing the Square (A/A*)

Bishop Walsh School Mathematics Department Year 10 Revision List Sets 10W2 & 10E3 - Higher Topic ANGLES & SHAPES 1

ANGLES & SHAPES 2 RATIO & PROPORTION

ALGEBRA 1

AREA & PERIMETER 1 CIRCLES

VOLUME & SURFACE AREA

LINEAR EQUATIONS LINEAR INEQUALITIES FORMULAE (SUBSTITUTION & CHANGING THE SUBJECT) NUMBER 1

INDICES

STANDARD FORM GRAPHS 1

REAL LIFE GRAPHS

PROBABILITY

3

Skills Properties of triangles & quadrilaterals Angles at a point, on a straight line, in a triangle, quadrilateral etc Corresponding & alternate angles Calculate angles in polygons Use Bearings Write ratios in their simplest form Divide a quantity in a given ratio Solve a ratio problem in a context Simplify algebraic expressions Multiply out brackets Use FOIL rule Understand fractional, negative and zero powers Factorise by taking out common factors Find the perimeter of a rectangle, triangle, compound shape or other shape. Find the area of a rectangle, triangle, parallelogram and trapezium. Find areas and circumference of circles Find the surface area and volume of cuboids, prisms and cylinders. Find areas and volumes using more complex shapes and solids, including cones, pyramids, spheres, hemispheres, segments of circles and frustums of cones. Use volume and surface area to solve problems. Set up and solve linear equations, including hard ones and with x on both sides. Represent inequalities on the number line. Solve linear inequalities. Substitute numbers into a formula. Use formulae to solve problems. Change the subject of a formula. Factors, multiples & primes Prime factor trees Highest common factor and lowest common multiple Use brackets and BODMAS Use index laws to simplify expressions. (multiplying, dividing and power of a power) Use fractional and negative powers. Convert between ordinary numbers and standard form Use standard form in calculations Use coordinates Plot straight line graphs Use y = mx + c Find gradients of parallel and perpendicular lines Draw and interpret straight line graphs for real-life situations Draw and interpret distance-time graphs Use the probability scale Calculate probabilities, including the probability of successive events, knowing when to x and when to +. Use relative frequency Estimate the number of times an event will occur List all outcomes systematically Use and draw sample space diagrams Draw and use a probability tree diagrams

Maths Watch Clips Clip 68 – Angle Sum of a Triangle (Grade C) Clip 69 – Properties of Special Triangles (Grade C) Clip 67 – Alternate Angles (Grade C) Clip 36 – Triangles, Quadrilaterals & Polygons (Grade E/F/G) Clip 70 – Angles of Regular Polygons (Grade D) Clip 131 - Bearings ( Grade C) Clip 23 – Proportion (Grade E/F/G) Clip 61 – Ratio (Grade D) Clip 94 – Ratio (Grade C) Clip 62 – Proportion Recipe Type Questions (Grade D) Clip 102 – Algebraic Simplification (Grade C) Clip 103 – Expanding and Simplifying Brackets (Grade C) Clip 104 – Factorisation (Grade C)

Clip 33 – Perimeter & Area (Grade E/F/G) Clip 73 – Area of compound shapes (Grade D) Clip 71 – Area of a Circle (Grade D) Clip 72 – Circumference of a Circle (Grade D) Clip 121 - Surface area of Cuboids (Grade C) Clip 122 – Volume of a Prism (Grade C) Clip 178 – Segments & Frustrums (Grade A/A*) Clip 177 – Cones and Spheres (Grade A/A*)

Clip 106 – Forming Equations (Grade C) Clip 105 – Solving Equations (Grade C) Clip 108 – Inequalities (Grade C) Clip 109 – Solving Inequalities (Grade C) Clip 107 – Changing the Subject of a Formula (Grade C) Clip 66 – Substitution (Grade D) Clip 164 – Rearranging Difficult Formulae (Grade A/A*)

Clip 111 – Index Notation for Multiplication & Division (C) Clip 156 - Fractional and Negative Indices (Grade A/A*) Clip 97 – Standard Form (Grade C) Clip 135 – Standard Form Calculation(Grade B) Clip 78 – Find the Mid-Point of a Line (grade D) Clip 143 – Understanding y = mx + c (grade B) Clip 166 – Gradients of Parallel & Perpendicular Lines ( A/A*) Clip 117 – Real Life Graphs (Grade C) Clip 113 – Drawing Straight Line Graphs (Grade C) Clip 91 – Mutually Exclusive Events (Grade D) Clip 182 – Probability “AND” & “OR” Questions (A/A*) Clip 154 – Tree Diagrams (Grade B)

INEQUALITIES & REGIONS GRAPHS 2

ACCURATE DRAWING & SCALE DRAWING DRAWING 3-D SHAPES

Show the solution set of several inequalities in two variables on a graph, by drawing lines and shading regions. 2 Plot graphs of quadratic functions (equations involving x ) Plot graphs of simple cubic functions (equations involving 3 x x ), and graphs such as y = 1/x , y = 3 , y = sin x and y = 2 2 2 cos x, x + y = r (circle). Recognise the characteristic shapes of all these functions. Measure and draw lines angles and make accurate drawings using a ruler and a protractor. Use scale diagrams and bearings. Use 2-D representations of 3-D shapes, including using coordinates, isometric grids, front & side elevations and plan views. Draw nets and show how they fold to make a 3-D solid.

CONSTRUCTION & LOCI

Use a ruler and a compass to do standard loci and constructions, e.g. construct triangles, perpendicular bisectors, etc.

ROUNDING & ESTIMATING

Round numbers using decimal places and significant figures Estimate answers to calculations, including use of rounding Calculate the upper and lower bounds of calculations.

BOUNDS COLLECTING & RECORDING DATA

REPRESENTING DATA 1 CUMULATIVE FREQUENCY & BOX PLOTS

4

Use two way tables and lists Design an experiment or survey and use suitable data collection techniques Use random and stratified sampling. Criticise questions for a questionnaire. Draw & interpret bar charts, pie charts, stem & leaf diagrams & frequency polygons. Draw & Interpret cumulative frequency graphs. Find medians, quartiles & IQR. Draw & interpret box plots. Compare distributions using averages & range or IQR

Clip 144 – Regions (Grade B)

Clip 116 – Drawing Quadratic Graphs (Grade C) Clip 145 – Graphs of Cubic and Reciprocal Functions (B) Clip 146 – Recognise the Shapes of Functions (Grade B) Clip 170 – Graphs of exponential Functions (Grade A/A*) Clip 168 – Graphs of Trigonometric Functions (Grade A/A*) Clip 172 - Equations of Circle and Loci (Grade A/A*) Clip 79 – Measuring & Drawing Angles (Grade D) Clip 80 – Drawing Triangles (Grade D) Clip 39 – isometric Drawing (Grade E/F/G) Clip 37 – Names of Solids (Grade E/F/G) Clip 34 - Volume of cuboids (Grade E/F/G) Clip 82 – Nets (Grade D) Clip 81 – Plans & Elevations (Grade D Clip 120 – 3D Coordinates Clip 80 – Drawing Triangles (Grade D) Clip 127 – Bisecting a Line (Grade C) Clip 128 – Drawing a Perpendicular to a Line (Grade C) Clip 129 – Bisecting an Angle (Grade C) Clip 130 – Loci (Grade C) Clip 20 –Decimal Places & Significant Places (Grade E/F/G) Clip 14 – Estimation (Grade E/F/G) Clip 101 – Estimating Answers (Grade C) Clip 125 – Upper and Lower Bounds (Grade C) Clip 160 – Upper and Lower Bound Difficult Questions (A/A*) Clip 84 – Questionnaires and Data Collection (Grade D) Clip 134 – Questionnaires (Grade C) Clip 183 – Stratified sampling (Grade A/A*)

Clip 151 – Cumulative Frequency (Grade B) Clip 152 – Box Plots (Grade B)

Bishop Walsh School Mathematics Department Year 10 Revision List Set 10W3 - Foundation Topic

Skills

ANGLES 1

Angles at a point, on a straight line, in a triangle, quadrilateral etc Corresponding & alternate angles

ANGLES 2

Calculate angles in polygons Use Bearings Write ratios in their simplest form Divide a quantity in a given ratio Solve a ratio problem in a context

RATIO & PROPORTION

ALGEBRA 1

TRIAL & IMPROVEMENT AREA & PERIMETER 1

Simplify algebraic expressions Multiply out brackets Factorise by taking out common factors Solve equations using trial & improvement.

CIRCLES

Find the perimeter of a rectangle, triangle, compound shape or other shape. Find the area of a rectangle, triangle, parallelogram and trapezium. Find areas and circumference of circles

LINEAR EQUATIONS

Set up and solve linear equations.

LINEAR INEQUALITIES FRACTIONS 1

Represent inequalities on the number line. Solve linear inequalities. Equivalent fractions & simplifying fractions Convert between fractions & decimals Order fractions & decimals

FRACTIONS 2

Add, subtract, multiply & divide fractions.

FRACTIONS 3

Find a fraction of a quantity Express a given number as a fraction of another Convert between fractions, decimals & percentages. Order fractions, decimals & percentages Find a percentage of a quantity Express a given number as a percentage of another Use percentages to solve problems

PERCENTAGES

GRAPHS 1

Use coordinates Find the mid-point of a line segment Plot straight line graphs Use y = mx + c

REAL LIFE GRAPHS

Draw and interpret straight line graphs for real-life situations Draw and interpret distance-time graphs Use the probability scale Calculate probabilities Use relative frequency Estimate the number of times an event will occur List all outcomes systematically Use and draw sample space diagrams

PROBABILITY

5

Maths Watch Clips Clip 31 – Angles (Grade E/F/G Clip 21 – Half-Way Value (Grade E/F/G) Clip 68 – Angle Sum of a Triangle (Grade C) Clip 69 – Properties of Special Triangles (Grade C) Clip 67 – Alternate Angles (Grade C) Clip 70 – Angles of Regular Polygons (Grade D) Clip 131 - Bearings ( Grade C) Clip 23 – Proportion (Grade E/F/G) Clip 61 – Ratio (Grade D) Clip 94 – Ratio (Grade C) Clip 62 – Proportion Recipe Type Questions (Grade D) Clip 102 – Algebraic Simplification (Grade C) Clip 103 – Expanding and Simplifying Brackets (Grade C) Clip 104 – Factorisation (Grade C)

Clip 33 – Perimeter & Area (Grade E/F/G) Clip 73 – Area of compound shapes (Grade D)

Clip 71 – Area of a Circle (Grade D) Clip 72 – Circumference of a Circle (Grade D) Clip 106 – Forming Equations (Grade C) Clip 105 – Solving Equations (Grade C) Clip 108 – Inequalities (Grade C) Clip 109 – Solving Inequalities (Grade C) Clip 47 – Equivalent Fractions (Grade D) Clip 48 – Simplification of Fractions (Grade D) Clip 58 – Change fractions to decimals (Grade D) Clip 98 – Recurring Decimals into Fractions (Grade C) Clip 13 – Ordering Fractions, Percentages & Decimals ( E/F/G) Clip 49 – Ordering Fractions (Grade Clip 56 – Addition & Subtraction of Fractions (Grade D) Clip 57 – Multiplication & Division of Fractions (Grade D) Clip 8 – Fraction of an Amount (Grade E/F/G) Clip 55 – Find a fraction of an amount (Grade D) Clip 10 -Fractions Decimals and percentages (Grade E/F/G) Clip 13 -Ordering Fractions, percentages & decimals ( E/F/G) Clip 51 -Percentage of an amount WITH a Calculator (D) Clip 52-Percentage of an amount WITHOUT a Calculator (D) Clip 53-Change to a percentage WITH a Calculator (Grade D) Clip 54-Change to a percentage WITHOUT a Calculator (D) Clip 92 -Overview of Percentage (Grade C) Clip 93 -Increase/Decrease by a Percentage (Grade C) Clip 28 – Coordinates (Grade E/F/G) Clip 78 – Find the Mid-Point of a Line (grade D) Clip 27 – Line Graphs (Grade E/F/G) Clip 113 – Drawing Straight Line Graphs (Grade C) Clip 114- Finding the Equation of a Straight line (Grade C) Clip 43 – Conversion Graphs (Grade E/F/G) Clip 117 – Real Life Graphs (Grade C) Clip 40 – Probability scale (Grade E/F /G) Clip 90 – List of Outcomes (Grade D) Clip 91 – Mutually Exclusive Events (Grade D) Clip 132 – Experimental Probabilities Grade C)

2

GRAPHS 2

Plot graphs of quadratic functions (equations involving x )

Clip 116 – Drawing Quadratic Graphs (Grade C)

ACCURATE DRAWING DRAWING 3-D SHAPES

Measure and draw lines angles and make accurate drawings using a ruler and a protractor. Use 2-D representations of 3-D shapes, including using coordinates, isometric grids, front & side elevations and plan views. Draw nets and show how they fold to make a 3-D solid.

Clip 79 – Measuring & Drawing Angles (Grade D) Clip 80 – Drawing Triangles (Grade D) Clip 39 – isometric Drawing (Grade E/F/G) Clip 37 – Names of Solids (Grade E/F/G) Clip 82 – Nets (Grade D) Clip 81 – Plans & Elevations (Grade D

SCALE DRAWING

Use and interpret maps and scale drawings.

ROUNDING & ESTIMATING

Round numbers to nearest 10, 100 Round using decimal places and significant figures Estimate answers to calculations, including use of rounding Use two way tables and lists Design an experiment or survey and use suitable data collection techniques Use random sampling. Criticise questions for a questionnaire.

COLLECTING & RECORDING DATA

6

Clip 3 – Rounding to nearest 10,100 etc (Grade E/F/G) Clip 20 –Decimal Places & Significant Places (Grade E/F/G) Clip 14 – Estimation (Grade E/F/G) Clip 101 – Estimating Answers (Grade C) Clip 84 – Questionnaires and Data Collection (Grade D) Clip 134 – Questionnaires (Grade C)