Chapter 2: Ratio, Rate, and Percent - Nelson Education

Chapter 2 Planning Chart: Ratio, Rate, and PercentCross-Curricular Competency: Cooperates with others. The Chapter Task requires students to work together to collect information.Broad Area of Learning: Personal and Career Planning. Lesson 4 and the Math in Action feature provide contexts for discussing possible careers and how mathematics is involvedin those careers.Content QEP Concepts QEP Processes Addressing Concepts and ProcessesGetting Started: MakingNumber Comparisons,pp. 38–39Assessment OpportunityLesson 1: Exploring RatioRelationships, pp. 40–41Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, propertiesArithmetic: UnderstandingProportionality• Proportion• Equality of ratios and ratesGeometry: Geometric Figures and SpatialSense• Congruent and similar figuresArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graphLesson 2: Solving RatioProblems, pp. 42–45Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Proportion• Equality of ratios and rates• Ratio and proportionality coefficientArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reductionArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Solving a proportional situationIn the lesson, the term “scale factor” is used for whatthe QEP refers to as “the factor of change”.Lesson A: Recognizing aProportional SituationArithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Proportion• Equality of ratios and ratesArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationNew LessonStudent ResourceTeacher Resource4 Nelson Mathematics Secondary Year One, Cycle One Copyright © 2009 by Nelson Education Ltd.

Content QEP Concepts QEP Processes Addressing Concepts and ProcessesLesson 3: Solving RateProblems, pp. 46–49Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Unit rate• Proportion• Equality of ratios and ratesArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reduction• Switching from one way of writingnumbers to another or from one type ofrepresentation to anotherArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationLesson 4: Communicatingabout Ratio and RateProblems, pp. 50–52Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Proportion• Equality of ratios and ratesArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reductionArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationCurious Math: FoodRatios, p. 53Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Proportion• Equality of ratios and ratesArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reductionArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationOptionalMid-Chapter Review:pp. 54–55Assessment OpportunityLesson 5: Ratios asPercents, pp. 56–59Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Proportion• Equality of ratios and rates• Ratio and proportionality coefficientArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reduction• Switching from one way of writingnumbers to another or from one type ofrepresentation to anotherArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationCopyright © 2009 by Nelson Education Ltd.Teacher’s Resource Supplement Planning Charts5

Content QEP Concepts QEP Processes Addressing Concepts and ProcessesMental Math: Multiplyingby Tenths and Hundredth,p. 59Lesson 6: Solving PercentProblems, pp. 60–63Lesson 7: DecimalMultiplication, pp. 64–67Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Ratio and rate• Ratios and equivalent rates• Proportion• Equality of ratios and ratesArithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: Operations InvolvingNumbers Written in Decimal andFractional Notation• Mental computation: the fouroperations, especially with numberswritten in decimal notation, usingequivalent ways of writing numbersand the properties of operationsArithmetic: Different Ways of Writing andRepresenting Numbers• Recognizing and using equivalent waysof writing numbers:• Equivalent fractions• Simplification and reduction• Switching from one way of writingnumbers to another or from one type ofrepresentation to anotherArithmetic: Operations InvolvingNumbers Written in Decimal andFractional Notation• Written computation: the fouroperations involving numbers that areeasy to work with (including largenumbers) and sequences of simpleoperations performed in the properorder (numbers written in decimalnotation), using equivalent ways ofwriting numbers and the properties ofoperations• Use of a calculator: operations andsequences of operations performed inthe proper orderArithmetic: Working With a ProportionalSituation• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationArithmetic: Different Ways of Writing andRepresenting Numbers• Using a variety of representations(e.g. numerical, graphic)• Switching from one way of writingnumbers to another or from one typeof representation to anotherArithmetic: Operations InvolvingNumbers Written in Decimal andFractional Notation• Estimating and rounding numbers indifferent situations• Approximating the result of anoperation• Written computation: the fouroperations involving numbers that areeasy to work with (including largenumbers) and sequences of simpleoperations performed in the properorder (numbers written in decimalnotation), using equivalent ways ofwriting numbers and the properties ofoperations6 Nelson Mathematics Secondary Year One, Cycle One Copyright © 2009 by Nelson Education Ltd.

Content QEP Concepts QEP Processes Addressing Concepts and ProcessesLesson 8: DecimalDivision, pp. 68–71Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: Different Ways of Writing andRepresenting Numbers• Using a variety of representations(e.g. numerical, graphic)• Switching from one way of writingnumbers to another or from one typeof representation to anotherArithmetic: Operations InvolvingNumbers Written in Decimal andFractional Notation• Estimating and rounding numbers indifferent situations• Approximating the result of anoperation• Written computation: the fouroperations involving numbers that areeasy to work with (including largenumbers) and sequences of simpleoperations performed in the properorder (numbers written in decimalnotation), using equivalent ways ofwriting numbers and the properties ofoperationsMath Game: WastepaperBasketball, p. 72Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: Different Ways of Writing andRepresenting Numbers• Switching from one way of writingnumbers to another or from one typeof representation to anotherArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graphOptionalChapter Self-Test: p. 73Self-Assessment OpportunityChapter Review:pp. 74–75Assessment OpportunityChapter Task: BallBounce-ability, p. 76Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: UnderstandingProportionality• Proportion• Equality of ratios and ratesArithmetic: Different Ways of Writing andRepresenting Numbers• Switching from one way of writingnumbers to another or from one type ofrepresentation to anotherArithmetic: Working With a ProportionalSituation• Comparison of ratios and rates• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graphAssessment OpportunityMath in Action: RockBand Manager, pp. 77–78Arithmetic: Number Sense With Regardto Decimal and Fractional Notation andOperation Sense• Reading, writing, variousrepresentations, patterns, properties• Fractional, decimal and exponential(integral exponent) notation;percentage, square rootArithmetic: Working With a ProportionalSituation• Recognizing a proportional situation byreferring to the context, a table ofvalues or a graph• Solving a proportional situationOptionalCopyright © 2009 by Nelson Education Ltd.Teacher’s Resource Supplement Planning Charts7