Developing pupils as Individuals - Investigate a personal and class lifestyle study of time. - Work collaboratively in problem solving, taking account of others' viewpoints to reach consensus. - Demonstrate an ability and willingness to develop logical arguments.
Developing pupils as Contributors to Society - Analyse and interpret information patterns relating to local and global trends. - Critically examine the use and misuse of mathematics to justify/support particular attitudes/opinions in different media, and the interpretation of data.
Developing pupils as Contributors to the Economy and the Environment - Examine the role of mathematics as a "key" to entry for future education, training and employment. - Explore how the skills developed through mathematics will be useful to a range of careers. - Apply mathematical skills in everyday financial planning and decision making
Learning Outcomes - The Learning Outcomes require the demonstration of skills and application of knowledge and understanding of Mathematics. •Pupils should be able to: - demonstrate mental mathematical capability with simple problems; - decide on the appropriate method and equipment to solve problems–mental, written, calculator, mathematical instruments or a combination of these; - demonstrate financial capability in a range of relevant everyday contexts; - research and manage information effectively to investigate and solve mathematical problems, using ICT where appropriate; - show deeper mathematical understanding by thinking critically and flexibly, solving problems and making informed decisions, using ICT where appropriate; - demonstrate creativity and initiative when developing ideas and following them through; - work effectively with others; - demonstrate self management by working systematically, persisting with tasks, evaluating and improving own performance; - communicate effectively in oral, visual, written, mathematical and ICT formats, showing clear awareness of audience and purpose.
Developing pupils' Knowledge, Understanding and Skills - knowledge and understanding of Number, Algebra, Shape, Space and Measures, and Handling Data; - knowledge and understanding of personal finance issues; and skills to enable competent and responsible financial decision making; - the application of mathematical skills to real life and work situations; - the creative use of technology to enhance mathematical understanding; - by demonstrating: •creative thinking in their approach to solving mathematical problems; •increasing competence in mental mathematics skills; •increasing competence in pencil and paper methods; •increasing confidence in the use of mathematical language and notation; •practical skills using technology.
Prime and Composite Numbers
Multiplicative Inverses
Divisibility Rules with Numbers Up to 10,000
Divisibility Rules with Dividend Up to 10,000,000
Divisibility Rules
Classify Numbers
Integers: Understanding Integers
Understanding Integers
Absolute Value and Opposite Integers
Put Rational Numbers in Order
Integer Inequalities with Absolute Values
Integer Addition and Subtraction Rules
Add and Subtract Integers
Complete Addition and Subtraction Sentences with Integers
Add and Subtract Integers
Complete Addition and Subtraction Sentences with Integers
Integer Multiplication and Division Rules
Multiply and Divide Integers
Complete the Mixed Equation Sentence
Order of Operations
Evaluate Expressions Involving Integers
Simplify Expressions Involving Integers
Identify Place Values in Decimal Numbers
Put Decimal Numbers in Order with Numbers Up to 5
Round Decimals
Add and Subtract Decimal Numbers
Mixed Equations with Decimals
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Add and Subtract Decimals
Multiply Decimals with Numbers Up to 100
Multiply Decimals
Multiply Decimals and Whole Numbers
Divide Decimals
Divide Decimals by Whole Numbers
Multiply and Divide Decimals by Powers of Ten
Estimate Products of Decimal Numbers
Estimate Sums and Differences of Decimals Up to 100
Estimate Sums, Differences and Products of Decimals
Mixed Decimal Equations
Multi Step Inequalities with Decimals
Maps with Decimal Distances
Evaluate Expressions with Decimals
Understanding Fractions
Choose the Equivalent Fraction Up to Twentieths
Choose the Equivalent Fraction
Reducing Fractions to Lowest Terms
Reduce to Lowest Terms
Compare Fractions
Compare Fractions
Convert Between Improper Fractions and Mixed Numbers
Compare Mixed Numbers and Improper Fractions
Add and Subtract Fractions
Add and Subtract Mixed Numbers
Add and Subtract Mixed Numbers
Add, Subtract Inequalities with Fractions and Mixed Numbers
Estimate Sums and Differences of Mixed Numbers
Multiply Fractions by Whole Numbers
Multiply Fractions by Whole Numbers
Multiply Fractions with Models
Multiply Fractions
Divide by Fractions with Models
Reciprocals
Divide Unit Fractions by Whole Numbers Up to 20 I
Divide Fractions Up to 1/5, 1/7, 1/9
Divide Fractions and Mixed Numbers
Divide Fractions and Mixed Numbers Up to 1/16
Divide Fractions and Mixed Numbers Up to 1/16, 1/32
Divide Fractions and Mixed Numbers Up to 1/32
Estimate Products of Fractions and Mixed Numbers
Mixed Equations with Fractions, Mixed Numbers
Mixed Fraction Equations Up to 10
Convert Between Decimals and Fractions or Mixed Numbers
Rational Numbers: Absolute Value of Rational Numbers
Absolute Value of Rational Numbers
Compare Rational Numbers
Add and Subtract Rational Numbers
Multiply and Divide Rational Numbers
Understanding Exponents
Evaluate Exponents
Exponents: Solve for the Variable
Exponents with Negative Bases
Exponents with Decimal and Fractional Bases
Square Roots of Perfect Squares
Estimate Positive and Negative Square Roots
Describe Pictures as Ratios
Equivalent Ratios
Equivalent Ratios
Equivalent Ratios
Unit Rates
Compare Ratios
Scale Drawings and Scale Factors
Ratios and Proportions
Ratios and Proportions
Solving Proportions
Constant of Variation
Find the Constant of Variation
Solving Proportions
Estimate Using Proportions
Rate of Change
Constant Rate of Change
Find the Constant of Variation Graphs
Find the Proportional Relationship
Constant of Variation with Tables
Find the Constant of Variation with Tables
Identify Proportional Relationships
Graph a Proportional Relationship
Linear Function with Intercepts
Algebra: Linear Function
Proportional Relationships
Algebra: Linear Function with Intercepts
What Percentage Is Illustrated?
Convert Between Percents, Fractions and Decimals
Compare Percents to Fractions and Decimals
Estimate Percents of Numbers
Percents of Numbers and Money Amounts
Percents of Numbers
Percent Equations
Percents with Multi-Step Problems
Percent Equations
Compare Metric Units by Multiplying
Compare and Convert Metric Units
Convert Mixed Metric Units
Coordinate Graphs Review
Relative Coordinates
Distance Between Two Points
Geometric Growth Patterns
Increasing Growth Patterns
Numeric Patterns
Complete a Function Table
Write Variable Expressions
Write Variable Expressions
Linear Function
Write Variable Equations to Represent
Evaluate Variable Expressions with Whole Numbers
Evaluate Multi-Variable Expressions
Identify Terms, Coefficients, and Monomials
Properties of Addition and Multiplication
Simplify Variable Expressions
Distributive Property
Solve Equations Using Properties
Add and Subtract Like Terms
Simplify Variable Expressions Using Properties
Model and Solve Equations Using Algebra Tiles
Solve One-Step Linear Equations
Solve Two-Step Linear Equations
Solve Equations Involving Like Terms
Variable Inequalities
Solutions to Variable Inequalities
Solve One-Step Linear Inequalities
Solve One-Step Linear Equations
Solve Two-Step Linear Equations
Solve Two-Step Linear Inequalities
Linear Function
Two-Variable Equations
Function Tables
Write Linear Functions
Graph Linear Functions
Graph a Line from a Function Table
Graph a Line from an Equation
Interpret Double Bar Graphs
Interpret Line Graphs
Interpret Bar Graphs
Interpret Double Line Graphs
Write a Rule for a Function Table
Identify Linear and Nonlinear Functions
Regular and Irregular Polygons
Construct Obtuse, Acute, Right Angle Using a Protractor
Construct Angles with Mixed Equations Using a Protractor
Name, Measure and Classify Angles
Construct Angles with a Protractor
Types of Triangles
Classify Quadrilateral Shapes
Find Missing Angles in Triangles and Quadrilaterals
Interior Angles of Polygons
Lines, Line Segments and Rays
Parallel, Perpendicular, Intersecting
Complementary, Supplementary, Vertical and Adjacent Angles
Identify Angles by Type
Find Complementary, Vertical, and Adjacent Angles
Transversal of Parallel Lines
Measures of Bisected Lines and Angles
Parts of a Circle
Symmetry
Identify Reflections, Rotations and Translations
Translations: Graph the Image
Translations Find the Coordinates
Reflections: Graph the Image
Reflections Find the Coordinates
Rotations: Graph the Image
Rotations Find the Coordinates
Similar and Congruent Figures
Congruent Figures: Side Lengths and Angle Measures
Congruence Statements and Corresponding Parts
Similar Figures: Side Lengths and Angle Measures
Similar Figures Side Lengths and Angle Measures
Similar Figures and Indirect Measurement
Names and Bases of 3-Dimensional Figures
Nets of 3-Dimensional Figures
Front, Side, and Top View
Perimeter with Unit Squares
Area of Rectangles and Parallelograms
Area and Perimeter
Circles: Calculate Area, Radius, Circumference
Circles
Volume of Cubes and Rectangular Prisms
Surface Area
Perimeter Area and Volume Changes in Scale
Interpret Line Plots with Up to 5 Data Points
Interpret Line Plots
Interpret Line Plots with Numbers Up to 40
Create Line Plots
Create Line Plots II
Interpret Stem and Leaf Plots
Create Frequency Charts
Convert Graphs to Input/Output Tables
Create Line Graphs
Interpret Box-And-Whisker Plots
Scatter Plots
Choose the Best Graph Type
Calculate Mode
Calculate Mean, Median, Mode and Range
Calculate Range
Calculate Median
Calculate Mean
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Mode
Interpret Charts to Find Mean
Interpret Charts to Find Range
Mean: Find the Missing Number
Range: Find the Missing Number
Mean, Median, Mode, and Range: Find the Missing Number
Mode: Find the Missing Number
Median: Find the Missing Number
Changes in Median
Changes in Mean, Median, Mode, and Range
Changes in Mode
Changes in Range
Changes in Mean
Identify Biased Samples
Identify Representative Samples
Identify Random Samples
Identify Representative, Random, and Biased Samples
Identify Factors
Identify Rational and Irrational Numbers
Round Decimals
Evaluate Variable Expressions with Decimals and Fractions
Understanding Negative Exponents
Evaluate Negative Exponents
Multiplication with Exponents
Division with Exponents
Multiplication and Division with Exponents
Power Rule
Simplify Expressions Involving Exponents
Positive and Negative Square Roots
Relationship Between Squares and Square Roots
Solve Equations Involving Squares and Square Roots
Evaluate Variable Expressions with Squares and Square Roots
Cube Roots of Perfect Cubes
Estimate Cube Roots
Percent Change
Find the Distance Between Two Points
Congruent Triangles SSS SAS and ASA
Dilations Graph the Image
Dilations: Find the Coordinates
Similar Solids
Area with Unit Squares
Quarter Circles
Evaluate Exponents
Solve Multi Step Equations
Exponents: Solve for the Variable
Graph a Line from an Equation Using Algebra
Find Points on a Function Graph
Find the Proportional Relationship
Model and Solve Equations Using Algebra Tiles
Divide Monomials
Multiply and Divide Monomials
Powers of Monomials
Mixed Equations with Money Amounts
Price Lists
Consumer Math: Price Lists
Consumer Math: Unit Prices
Unit Prices: Find the Total
Sale Prices: Find the Original Price
Estimate Tips
Simple Interest
Compound Interest
Estimate Mixed Equations
Multi-Step
Guess and Check
Use Venn Diagrams to Solve Problems
Find the Number of Each Type of Coin
Change in Time Review
Find the Change in Time
Elapsed Time
Experimental Probability
Probability Problems
Making Predictions
Prediction Problems
Identify Independent and Dependent Events