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| Nayland College Mathematics; More than just a school | |||||||||||||||
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| Expressions | Simplifying algebraic expressions _Mar06 | Power Point |
| Graphing Quadratics | Intro and summary (JW) | Power Point |
| Balance equations links to http://nlvm.usu.edu | Java application of expanding brackets | balancing equations (positive) | balancing equations (with negatives) | | |
Why Algebra is good... |
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| It involves: | |
| Logic, | Selecting the best tool to solve a problem, |
| Being Systematic, | Being careful and accurate, |
| Problem Solving, | Organising your working, |
| Reasoning, | Reasoning, |
| Thinking skills, | Working in a step-by-step way. |
| All very useful skills to develop | |
Unit OverviewContinuing patterns of numbers & diagrams. Finding a rule for these number patterns. Plotting patterns and using equations on a graph.Solving Linear Equations using a graph, pattern & equation.Using Simplifying to help solve equations: combining terms (+ − × ÷), expanding brackets, factorising & rearranging equations.back to top
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Achieve |
| Find the next term(s) in a pattern |
| Write a rule in symbols for a pattern |
| Select a rule to match a given pattern |
| Plot points when given a linear equation |
| Find the y-intercept on a graph |
| Find the gradient on a straight line graph |
| Solve equations like 2b + 7 = 17 |
| Write equations for simple word problems |
| Add and subtract terms e.g. 2x - 4y + 6y |
| Multiply and divide terms |
| Expand 1 bracket |
| Factorise into 1 bracket |
| Substitute into a formula |
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| Substitute into a rule to make a pattern |
| Write a rule in symbols for a non-linear pattern |
| Read the y-intercept and the gradient from an equation |
| Interpret the meaning of the intercepts |
| Interpret the meaning of the gradient |
| Find the equation of horizontal and vertical lines |
| Draw the graph of a line from an equation |
| Read and interpret negative gradients from graphs and equations |
| Solve equations with brackets, fractions or x on both sides |
| Add and subtract terms with more complicated powers eg 2x2y - 3xy2 + x2y |
| Expand 2 brackets (x + 3)(x - 4) (quadratics) |
| Factorise into 2 brackets (quadratics) |
| Substitute into complicated formulae |
| Rearrange linear formulae |
| Form and solve equations from word problems |
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| Write a rule for a pattern representing a practical situation |
| Solve equations with combinations of brackets, fractions and x on both sides |
| Substitute into any formula and find the unknown value |
| Solve word problems which could be related to another topic in mathematics |
| Read the gradient from a graph with a complex scale |
| Interpret the meaning of the point of intersection of lines for practical situations |
| Interpret the gradient and intercepts for practical situations |
| Find the equation of a line from a practical situation |
| Linear Algebra: Overview Continuing Patterns, Forming Tables, Finding the rule for a pattern, Graphing patterns Lesson Notes: Finding the Rule Images: Activities: Patterns Worksheets Links: Algebra Home webpg | Patterns webpg | Pattern Excel Demo (Contains Macros) |
HW: |
Finding the rule for a pattern, Lesson Notes:| Gareth's money Ans | Postman Pat Ans | Thomas Ans Images: Activities: Patterns Worksheets Links: Finding the rule Excel HW: |
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2D graphs Lesson Notes: Baby weights | Linear Applications Images: Activities: p358 Ex 27.1 Links: Filling Bottles | HW: |
Coordinates, Plotting Points Lesson Notes: Battleships Images: Activities: Links: Plotting Points HW: |
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Coordinates Practice, Lesson Notes: coordinates Images: Activities: p365 Ex 27.3 Links: Coordinates PDF practice | Graph grid HW: |
Gradient Lesson Notes: Gradient Images: Activities: p371 Ex 27.6 Links: Gradient
website | Excel gradient HW: |
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Sketching Graphs Lesson Notes: Rule to table to graph | Sketching Graphs Images: Activities: p372 Ex 27.7 Links: Excel Line Graphs | Line graphs webpg HW:
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Sketching Linear functions:
Practice Lesson Notes: Sketching Graphs B | Revision Sheet | Answers | Practice test | Answers Images: Activities: p380 Ex 27.12 Links: http://www.subtangent.com/maths/slg.php
HW:
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Substitution, Solving equations using guess and check Lesson Notes: Substitution Images: Activities: p307 Ex 22.3 Links: Substitution HW: |
Solving Equations: Introduction Lesson Notes: Solving_introduction Images: Activities: p331 Ex 25.1 Links: Excel Equation Balance | Equations webpg HW:
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Solving
Equations
2 Step problems Lesson Notes: 2 Step Problems Images: Activities: p334 Ex 25.5 Links: HW: |
Rearranging Lesson Notes: Collect like terms Images: Activities: p314 Ex 23.2 Links: Collect like terms webpg HW: |
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Equations
with 'x' on both sides Lesson Notes: 'x' on both sides Images: Activities: p337 Ex 25.7 Links: 'x' on both sides webpg | HW:
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Multiply terms to simplify and solve Lesson Notes: Multiply terms Images: Activities:
p318 Ex 23.4 Links: Multiply terms webpg HW: |
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Simplifying by Divide terms, Brackets and Powers of 0 Lesson Notes: Divide terms & Brackets Images: Activities:
p319 Ex 23.5 Links: Divide terms webpg HW: |
Square roots Lesson Notes: Square roots Images: Activities:
p320 Ex 23.7 Links: Square root webpg HW: |
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Simplify
Fractions Lesson Notes: Multiply & Divide Algebra Fractions Images: Activities: p323 Ex 23.9 Links: algebra fractions × ÷ webpg HW: |
Expand single brackets Lesson Notes: Expand and simplify Images: Activities:
p326 Ex 24.2 Links: Expand and simplify webpg HW: |
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Equations with brackets Lesson Notes: Equations with brackets Images: Activities: p341 Ex 25.11 Links: HW: |
Factorising single brackets Lesson Notes: Factorising Images: Activities:
p327 Ex 24.5 Links: Factorising webpg HW: |
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Factorising with powers and review to date Lesson Notes: Factorising with powers Images: Activities: p329 Ex 24.8 Links: HW: |
Solving equations
practice Lesson Notes: word problems Images: Activities:
p335 Ex 25.6 Links: HW: |
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Revision
Test A | Answers Assessment Algebra Assessment
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Lesson Notes: Images: Activities: Links: HW: |
