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Grade 6 Topics

1 Number Concepts Part I
- 1.1A Number Constructions
- 1.1B Number Constructions
- 1.2 Compare and Order Numbers
- 1.3A Introduction to Exponents
- 1.3B Introduction to Exponents
- 1.3C Introduction to Exponents
- 1.3D Introduction to Exponents
- 1.4 Perfect squares and Their Roots
- 1.5 Patterns, Sequences, and Terms

2 Number Concepts Part II
- 2.1A Introducing Roman Numerals
- 2.1B Introducing Roman Numerals
- 2.2A Introduction to Decimals
- 2.2B Introduction to Decimals
- 2.2C Introduction to Decimals
- 2.3A Special Decimal Numbers
- 2.3B Special Decimal Numbers
- 2.4A Order Decimals
- 2.4B Order Decimals
- 2.5A Estimate Decimals
- 2.5B Estimate Decimals

3 Introduction to Algebra
- 3.1 Writing Variable Expressions
- 3.2 Operations Properties
- 3.3 Order of Operations
- 3.4A Distributive Property
- 3.4B Distributive Property

4 Steps toward Algebra
- 4.1 Step toward Algebra: Mental Math
- 4.2 Step toward Algebra: Evaluating Expressions
- 4.3 Step toward Algebra: Using Expressions to Describe Patterns
- 4.4 Problem Solving by Making a Table

5 Decimal Arithmetic
- 5.1 Estimating Decimals, Sums and Differences
- 5.2 Decimal Arithmetic: Adding and Subtracting
- 5.3 Decimal Arithmetic: Estimate Products and Quotients
- 5.4 Decimal Arithmetic: Multiplying Decimals
- 5.5 Mixed Problem Solving

6 More Advanced Decimal Concepts
- 6.1 Dividing a Decimal Number by a Whole Number
- 6.2 Dividing a Whole Number by a Decimal Number
- 6.3A Dividing Two Decimals
- 6.3B Dividing Two Decimals
- 6.4A Evaluating Decimal Expressions
- 6.4B Evaluating Decimal Expressions
- 6.5 Working with Scientific Notations
- 6.6 Solving Multistep Problems

7 Steps toward Algebra: Solving Equations
- 7.1 Step toward Algebra: Properties of Equality
- 7.2 Solving Equations Using the Addition Property of Equalities
- 7.3 Solving Equations Using the Subtraction Property of Equalities
- 7.4 Solving Equations Using the Division Property of Equalities
- 7.5 Solving Equations Using the Multiplication Property of Equalities
- 7.6 Problems Solving: Draw a Picture to Assist in Writing the Equation

8 Introduction to Fraction Concepts
- 8.1 Factors and Multiples
- 8.2 Rules of Divisibility
- 8.3 Finding Primes Using Prime Factorization
- 8.4 Greatest Common Factor (GCF)
- 8.5 Introduction to Fractions
- 8.6 Equivalent Fractions
- 8.7 Simplifying Fractions
- 8.8 Using Conjectures

9 Number Types
- 9.1A Relationship between Fractions and Division
- 9.1B Relationship between Fractions and Division
- 9.2 Convert between Fractions and Decimals
- 9.3 Convert between Mixed Number and Improper Fractions
- 9.4 Using Decimals with Fractions and Mixed Numbers
- 9.5 Problem Solving: Drawing Figures

10 Arithmetic of Fractions and Mixed Numbers Part I
- 10.1 Adding and Subtracting Fractions with Like Denominators
- 10.2 Least Common Multiple (LCM)
- 10.3 Adding and Subtracting Fractions with Unlike Denominators
- 10.4 Estimating Sums and Differences of Mixed Numbers
- 10.5 Finding Sums of Mixed Numbers
- 10.6 Finding Differences between Mixed Numbers
- 10.7 Solving Equations Involving Addition and Subtraction of Fractions
- 10.8 Problem Solving by Making a Table

11 Arithmetic of Fractions and Mixed Numbers Part II
- 11.1 Multiplying Fraction and Integers
- 11.2 Estimating Products of Mixed Numbers and Fractions
- 11.3 Multiplying Fractions
- 11.4 Multiplying Mixed Numbers
- 11.5 Solving fraction Equations Using Multiplication
- 11.6 Solving Multistep Problems

12 Arithmetic of Fractions and Mixed Numbers Part III
- 12.1 Understanding Fraction Division
- 12.2 Dividing a Whole Number by a Fraction
- 12.3A Dividing Fractions
- 12.3B Dividing Fractions
- 12.4 Estimating Quotients
- 12.5 Mixed Number Division
- 12.6 Solving Fraction Equations Using Division
- 12.7 Problem Solving: Look for a Pattern

13 Counting Numbers (Z) Part I
- 13.1 Understanding Integers (Z) Using a Number Line
- 13.2 Relationship between Integers
- 13.3 Relationship between Rational Numbers
- 13.4 Adding Integers Using a Number Line
- 13.5 Subtracting Integers Using a Number Line
- 13.6 Adding and Subtracting Integers Using Tables

14 Counting Numbers (Z) Part II
- 14.1A Integer Multiplication
- 14.1B Integer Multiplication
- 14.2A Integer Division
- 14.2B Integer Division
- 14.3 Steps toward Algebra: Solving Integer Equations
- 14.4 Steps toward Algebra: Notating and Graphing Points on a Coordinate Grid
- 14.5 Finding Rules from Tables Using Multiplication and / or Division of Integers
- 14.6 Working Backward to Solve Problems

15 Two Dimensional Figures Part I
- 15.1 Geometry: Points, Lines, and Planes
- 15.2 Geometry: Working with Pairs of Line
- 15.3 Geometry: Determining Types of Angles
- 15.4 Geometry: Working with Pairs of Angles
- 15.5 Geometry: Classifying Triangles
- 15.6 Geometry: Types of Quadrilaterals
- 15.7 Geometry: Part of Circle

16 Two Dimensional Figures Part II
- 16.1 Geometry: Polygons
- 16.2 Geometric Patterns
- 16.3 Geometry: Transformation
- 16.4 Geometry: Congruence
- 16.5A Geometry: Symmetry
- 16.5B Geometry: Symmetry
- 16.6 Problem Solving: Make a Table and Look for a Pattern

17 Ratios, Rates, and Proportions
- 17.1 Ratios
- 17.2 Proportions
- 17.3 Rates
- 17.4 Rate Comparison
- 17.5 Distance = Rate × Time
- 17.6 Problem Solving: Sketch a Picture

18 Solving Proportions
- 18.1 Working with Ratio Tables
- 18.2 Working with Unit Rates
- 18.3 Strategies for Solving Proportions
- 18.4 Working with Scale Drawings and Maps
- 18.5 Problem Solving: Math Explanations

19 Working with Percents
- 19.1 Working with Percents
- 19.2 Parts of a Whole
- 19.3 Special Percents
- 19.4 Estimating Percents
- 19.5 Find the Percent of a Number
- 19.6 Math Challeng

20 Solving Percentage Problems
- 20.1 Equations and Their Solutions
- 20.2 Unitary Method
- 20.3 Profit and Loss
- 20.4 Tips, Taxes, and Discount
- 20.5 Simple Interest
- 20.6 Problem Solving: Reasonableness

21 Working with Equations and Graphs
- 21.1 Solving Two-Step Equations
- 21.2 Use Patterns/Rules to Solve Equations
- 21.3 Use Patterns/Rule to Solve Problems
- 21.4 Graphs Linear Equations
- 21.5 Graphing Two-Step Equations
- 21.6 Indentifying and Interpreting Functions
- 21.7 Problem Solving: Separating into Part

22 Measurement
- 22.1 Converting Customary Measures
- 22.2 Converting Metric Measures
- 22.3 Units of Measure and Precision
- 2.42 Relating Customary and Metric Measures
- 22.5 Elapsed Time
- 22.6 Problem Solving: Measurements

23 Two-Dimensional Measurement Formulae
- 23.1 Perimeter
- 23.2 Areas of Rectangles Based Irregular Figures
- 23.3 Areas of Common Plane Figures
- 23.4 Circumference of a Circle
- 23.5 Area of a Circle
- 23.6 Problem Solving Using Objects
- 23.7 Math Challeng

24 Three-Dimensional Measurement Formulae
- 24.1 Three Dimensional Figures
- 24.2 Surface Area (SA)
- 24.3 Volumes of Rectangular Prisms
- 24.4 Volumes of Cylinders and Triangular Prisms
- 24.5 Problem Solving Using Unit Cubes

25 Graphs and Data
- 25.1 Making and Interpreting Line and Bar Graphs
- 25.2 Drawing and Interpreting Circle Graphs
- 25.3 Compare Line and Circle Graphs
- 25.4 Problem Solving by Building a Graph
- 25.5 Misleading Graphs
- 25.6 Building Frequency Tables and Histograms

26 Introduction to Statistics
- 26.1 Measures of Central Tendency and the Range
- 26.2 Steam-and-Leaf Plots
- 26.3 Appropriate Use of Statistical Measures
- 26.4 Samples and Surveys
- 26.5 Using Statistics to Draw Conclusions
- 26.6 Problem Solving: Try, Check, and Revise

27 Probability
- 27.1 Possible Outcomes
- 27.2A Outcomes Arrangement
- 27.2B Outcomes Arrangement
- 27.3 Probability
- 27.4 Types of Probability
- 27.5 Types of Events
- 27.6 Problem Solving: Make an Organized List

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Smart Score out of 100

There are two lots of items with different price tags. The first lot costs $490 for 7 items and the other lot costs $520 for 8 items. Which lot is most expensive?

$490 for 7 items

$520 for 8 items

a) Write each price as a rate.

b) Find the unit rate of first lot.

c) Find the unit rate of second lot.

d) Compare the unit rates.

Correct answer is .

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