Grade 7 Online Math Tutorial12 (hrs)
Nov 06, 2020 20201124 12:38Grade 7 Online Math Tutorial12 (hrs)
Grade 7 Online Math Tutorial12 (hrs)
Students examine situations carefully to determine if they are describing a proportional relationship. Their analysis is applied to relationships given in tables, graphs, and verbal descriptions.
Students build on their understanding of rational numbers to add, subtract, multiply, and divide signed numbers. Previous work in computing the sums, differences, products, and quotients of fractions and decimals serves as a significant foundation as well.
Consolidates and expands upon students’ understanding of equivalent expressions as they apply the properties of operations (associative, commutative, and distributive) to write expressions in both standard form (by expanding products into sums) and in factored form (by expanding sums into products). They use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers.
Convert between fractions, decimals, and percents to further develop a conceptual understanding of percent and use algebraic expressions and equations to represent and solve multistep percent scenarios. Students begin the module by solving problems without the use of a calculator to develop a greater fluency and deeper reasoning behind calculations with percent. Material in early lessons is designed to reinforce students’ understanding by having them use mental math and basic computational skills. To develop a conceptual understanding, students use visual models and equations, building on earlier work with these strategies.
Students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. The concept of probability provides a foundation for the thinking required to make inferential reasoning. Students delve further into several geometry topics they have been developing.

Ratios and Proportional Relationships
 An Experience in Relationships as Measuring Rate Copy
 Proportional Relationships Copy
 Identifying Proportional and NonProportional Relationships in Tables Copy
 Identifying Proportional and NonProportional Relationships in Graphs Copy
 Unit Rate as the Constant of Proportionality Copy
 Interpreting Graphs of Proportional Relationships Copy
 Ratios of Fractions and Their Unit Rates Copy
 Finding Equivalent Ratios Given the Total Quantity Copy
 MultiStep Ratio Problems Copy
 Equations of Graphs of Proportional Relationships Involving Fractions Copy
 Relating Scale Drawings to Ratios and Rates Copy
 The Unit Rate as the Scale Factor Copy
 Computing Actual Lengths from a Scale Drawing Copy
 Computing Actual Areas from a Scale Drawing Copy

Rational Numbers
 Opposite Quantities Combine to Make Zero Copy
 Using the Number Line to Model the Addition of Integers Copy
 Understanding Addition of Integers Copy
 Efficiently Adding Integers and Other Rational Numbers Copy
 Understanding Subtraction of Integers and Other Rational Numbers Copy
 The Distance Between Two Rational Numbers Copy
 Addition and Subtraction of Rational Numbers Copy
 Applying the Properties of Operations to Add and Subtract Rational Numbers Copy
 Understanding Multiplication of Integers Copy
 Develop Rules for Multiplying Signed Numbers Copy
 Division of Integers Copy
 Converting Between Fractions and Decimals Using Equivalent Fractions Copy
 Converting Rational Numbers to Decimals Using Long Division Copy
 Multiplication and Division of Rational Numbers Copy
 Applying the Properties of Operations to Multiply and Divide Rational Numbers Copy
 Comparing Tape Diagram Solutions to Algebraic Solutions Copy
 Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers Copy
 Investments—Performing Operations with Rational Numbers Copy

Expressions and Equations
 Generating Equivalent Expressions Copy
 Writing Products as Sums and Sums as Products Copy
 Using the Identity and Inverse to Write Equivalent Expressions Copy
 Understanding Equations Copy
 Using IfThen Moves in Solving Equations Copy
 Angle Problems and Solving Equations Copy
 Properties of Inequalities Copy
 Solving Inequalities Copy
 Graphing Solutions to Inequalities Copy
 The Area of a Circle Copy
 Unknown Area Problems on the Coordinate Plane Copy
 The Volume of a Right Prism Copy

Percent and Proportional Relationships
 Percent Copy
 Comparing Quantities with Percent Copy
 Percent Increase and Decrease Copy
 Fluency with Percents Copy
 Markup and Markdown Problems Copy
 Percent Error Problems Copy
 Simple Interest Copy
 Tax, Commissions, Fees, and Other RealWorld Percent Applications Copy
 The Scale Factor as a Percent for a Scale Drawing Copy
 Changing Scales Copy
 Computing Actual Lengths from a Scale Drawing Copy
 Solving Area Problems Using Scale Drawings Copy
 Population Problems Copy
 Mixture Problems Copy

Statistics and Probability
 Estimating Probabilities by Collecting Data Copy
 The Difference Between Theoretical Probabilities and Estimated Probabilities Copy
 Comparing Estimated Probabilities to Probabilities Predicted by a model Copy
 Conducting a Simulation to Estimate the Probability of an Event Copy
 Applying Probability to Make Informed Decisions Copy
 Populations, Samples, and Generalizing from a Sample to a Population Copy
 Methods for Selecting a Random Sample Copy
 Sampling Variability and the Effect of Sample Size Copy
 Understanding Variability When Estimating a Population Proportion Copy

Geometry
 Complementary and Supplementary Angles Copy
 Solving for Unknown Angles Using Equations Copy
 Identical Triangles Copy
 Drawing Geometric Shapes Copy
 Drawing Parallelograms Copy
 Drawing Triangles Copy
 Conditions for a Unique Triangle―Three Sides and Two Sides and the Included Angle Copy
 Conditions for a Unique Triangle—Two Angles and a Given Side Copy
 Conditions on Measurements That Determine a Triangle Copy
 Unique Triangles―Two Sides and a NonIncluded Angle Copy
 Checking for Identical Triangles Copy
 Slicing a Right Rectangular Prism with a Plane Copy
 Slicing a Right Rectangular Pyramid with a Plane Copy
 Slicing on an Angle Copy
 Understanding ThreeDimensional Figures Copy
 Problems Involving Area and Surface Area Copy