10 to 12

Classroom Resources for Secondary Mathematics

10 to 12

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  • About
  • Classroom Resources
    • Math Foundations
      • Numeracy: One to a Hundred
        • Clock
        • Adding two digits, both less than 10
        • Add up to …
        • Race to 100 and Zig Zag Numbers
        • Multiply 1 to 10 by 1 to 10
        • Target Practice
        • Three Numbers Arithmetic Game
      • Numeracy
        • Multiply by 5, 20 or 25
        • Target Practice
        • Estimating (Multiplication)
        • Negative number sequences
        • Powers of ten: Multiply and Divide
        • Fractions
      • Rhombus Art: Rotating
      • Star Drawings: Multiples and Factors
      • Pentagram
      • Isometric Colouring
    • For Fun: Symmetry
    • For Fun: Puzzles
    • Exponents
      • Integer Exponents
        • Exponents Introduction
        • Exponents: Number Sense Activities
        • Exponent Laws: Development
        • Exponents Project: Colour Wheel
        • Exponents Project: Square Sequence
        • Exponents Project: Solar System
        • The Mosquito, the Sunflower Seed and the Apple
      • Radicals and Exponents
        • Square Roots
        • Radicals to Exponents
        • Examples: Perfect Fractional Exponents
        • Perfect Fraction Exponents
        • Exponents: More Practice
    • Algebra
      • Getting Started: Solving Puzzles
      • Substituting
      • Solving Linear Equations
      • Rearranging Formulae
    • Geometry
      • Area
        • Rectangle Relatives
        • Quadrilaterals
      • Right Angled Triangles
        • Estimating Angles and Sides
        • Pythagoras’ Theorem
        • Introduction to Trigonometry
        • SOH CAH TOA finding an angle
        • SOH CAH TOA Finding a side
      • Non Right Angled Triangles
        • Cosine Rule Problems
        • Project: Circumscribed Triangle Radius Problem
      • Construction
        • Straight Edge and Compass Construction
      • Circle Theorems
        • Circle Theorems (i)
        • Angle at the Center of a Circle
    • Trigonometric Functions
      • Sine Function Introduction
      • Sine Function Transformations
      • Cosine Function Introduction
      • Sine and Cosine Transformations
      • Sine Function Properties: Range and Period
      • Sinusoidal Function Projects
    • Sequences and Series
      • Sequences and Series: Introduction
      • Arithmetic Sequences
        • Arithmetic Sequences, Introduction
        • Arithmetic Sequences: Development
        • Arithmetic Sequences: Two Terms
        • Arithmetic Series: Development
        • Sequences of Points, Circles and Line Segments
      • Geometric Sequences
        • Geometric Sequences: Introduction
        • Geometric Sequences: Development
        • Geometric Series
    • Vectors
      • Vectors in 3D: Triangle Project
    • Integral Calculus: Volume of Revolution
      • Volume of Revolution Visual
      • Volume of Revolution Discussion i
      • Volume of Revolution Discussion ii
      • Volume of Revolution Discussion iii
      • Volume of Revolution Discussion (iv)
      • Wine Glass: Volume of Revolution Project
  • FMP 10
    • 1. Algebra
      • Linear Expressions
      • Linear Equations
      • Project: Connect 4 Counters
    • 2. Trigonometry
      • Pythagoras’ Theorem
      • Introduction to Trigonometry
      • Visual Trig Values
      • Estimating Angles and Sides
      • SOH CAH TOA Finding a side
      • SOH CAH TOA finding an angle
      • Problem Solving
      • Right Angled Triangle Projects
    • 3. Factors and Products
      • Prime Factors
      • HCF and LCM
      • Review Integer Exponents
      • Factoring Expressions
      • Area Problems
      • Multiplying Two Binomials
      • Factor Trinomial
      • Factor a trinomial with other leading coefficients
      • Factoring: Beyond the basics
      • Star Drawings
    • 4. Arithmetic Sequences
      • Introduction to Sequences
      • Introduction to Arithmetic Sequences
      • The General Term
      • Solving Equations
      • Project: Sequences of Circles, Line Segments, Polygons
    • 5. Relations and Functions
      • Relations and Functions Project: A Question of Time
      • Plot the Points
      • From Arithmetic Sequences to Linear Relations
      • Functions and Function Notation
      • Domain and Range
      • Validity, Formula, Graph
      • Applied Linear Functions: A Question of Cost
    • 6. Linear Functions
      • Linear Functions: Project
      • Slope, Intercept, Equations Continued
      • Linear Functions: Two Points, Slope Point
      • Lines: Miscellaneous!
      • Linear Patterns
      • Linear Functions: ax+by+c=0
    • 7. System of Two Equations Two Unknowns
      • Introduction to Systems of Equations
      • Solution by Graphing
      • Solution by Substitution
      • Solution by elimination
      • Project: Colliding Particles
    • 8. Course Exam Preparation
      • Unit 1 Review Solving Equations
      • Unit 2 Right Angled Triangles Review
      • Unit 3 Review Factors and Factoring
      • Unit 6 Review Linear Functions
  • AW Math 11
    • Unit 1 Number
      • Estimating
      • Fractions
      • Negative Numbers
      • Multiplying, Dividing by 10s
      • Calculating Percentages
    • Unit 2 Ratio and Proportion
      • Plot the Points
      • Line Segments
      • Linear Relation Appliance Repair
      • Linear Relation Truck Rental
    • Unit 3 2D and 3D
      • Truck
      • Drawing 3D as 2D with Cube Structures
    • Unit 4 Statistics
    • Unit 5 Finance
    • Unit 6A Linear Relations
      • 6A0 Slope Projects
      • 6A1 Points on the Cartesian Plane
      • 6A2 Number Patterns
      • 6A3 Rate of Change
      • 6A5 Slope on axes with 1:1 Ratio
      • 6A6 Slope using coordinates
      • 6A7 Equations using slope and vertical intercept
      • 6A8 Linear Patterns
    • Unit 6B Spreadsheet Project
      • 6B1 Spreadsheet Project Introduction and Data
      • 6B2 Spreadsheet Project Format Presentation
      • 6B3 Spreadsheet Project Charts
      • 6B4 Spreadsheet Project: Report
      • 6B5 Spreadsheet Project: Assessment
    • Unit 7 Right Angled Triangles
  • FOM 12
    • Unit 1. Investing with Compound Interest
    • Unit 2. Set Theory and Logic
    • Unit 3. Counting and Probability
    • Unit 4. Polynomial, Exponential and Logarithm Functions
    • Unit 5. Sinusoidal Functions
      • 5.1 Periodic Data Examples
      • 5.2 The sine and cosine curves
      • 5.3 The Range of a Sinusoidal Function
      • 5.4 Sinusoidal Regression Project
      • 5.5 Four Shapes and the Period

4. Arithmetic Sequences

Pages

Introduction to Sequences

Introduction to Arithmetic Sequences

The general term

Solving Equations

Straight to Skills

Skill 1 Find Missing Terms

Skill 2 Find any term from u_1 and d

Skill 3 The general term u_n=an+b

Skill 4 Solve equations

Skill 5 Find u_n from any two terms

Problem Solving

Arithmetic Sequences Problem Solving

Arithmetic Sequences PS Solutions

Assignment

10 FMP Assignment 4 Fall 2018

Project

Sequences of Points, Circles and of Straight Lines

 

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