Math 7-Core Math Quarter 2
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Expressions and Equations Algebraic expressions Properties of operations Distributive property Simplify Algebraic Expressions Add linear expressions Geometric applications of linear expressions Subtracting linear expressions Factoring linear expressions (GCF) Translating words into math Modeling with linear expressions Solving one step equations Solving two step equations Solving equations with groups Solving one step inequalities Solving multistep inequalities Graphing solutions to inequalities
Rate, Ratio and Proportion Rates Comparing rates Ratio Unit Rate Equivalent Ratios Proportions Solving Proportions Equivalent Cross Products Identify proportional and Non-proportional relationship Coordinate Plane Graphing proportional relationships Constant of proportionality
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Quarter 2 |
Expressions and Equations Recognizing like terms, constants, coefficients Combine like terms Evaluating expressions using (GEMDAS) Recognize and use properties to simplify expressions Distribute into a group Simplifying algebraic expressions Adding linear equations Subtrating linear equations Solving one step equations Solving two step equations Solving multistep equations Solving one step inequalities Graphing inequalities Solving two step inequalities Solving multistep inequalities
Rate, Ratio and Proportion Rates Comparing rates Ratio Unit Rate Equivalent Ratios Proportions Solving Proportions Equivalent Cross Products Identify proportional and Non-proportional relationship Coordinate Plane Graphing proportional relationships
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Expressions and Equations How can you determine like terms? How can we use tiles to demonstrate linear exressions? How do we simplify expressions with unlike terms? What does simplifying mean? What is an equation? How can you use addition and subtraction to solve an equation? How can you use multiplication and division to solve an equation? How can we create an equivalent equation? How can we demonstrate geometric concepts using equations? What step should you do first in a two step equation? What are the similarities and differences between inequalities and equations? Is there a way we can see if a value is a solution to an inequality or equation without solving? How can we use properties to solve equations and inequalities? Are there properties that do not hold true for solving inequalities? How many solutions do equations and inequalities have?
Rates, Ratios and Proportions What is a unit rate? How does a unit rate differ from rates? Is it important to state the unit, when stating unit rate? How can you identify and represent proportional relationships? How can we demonstrate a comparison mathematically? How can we determine a unit price? How do unit prices help us in the real world? How can we compare rates in different dimensions? How are proportional relationships graphed? How can we recognize a proportional relationship in a table, graph or list? How can we find the constant of proportionality? How does the constant of proportionality help determine other coordinates in the relationship?
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Expressions and Equations Define variable, constants, coefficients Evaluate expressions using GEMDAS Write expressions using variables Identify and use properties of operations Distributive property Simplify expressions by combining like terms Represent perimeter as linear expression Model linear expressions, their sums and differences Determine the GCF of monomials Factor GCF Solving one-step equations with addition and subtraction Geometric applications of sum of angles Solving equations with one step using multiplication and division Create equivalent equations Model equations with bar model Solving equations with rational coefficients Solving inequalities with addition or subtraction Graphing inequality solutions Solving inequalities with multiplication and division Solving multi-step inqualities and graph solution
Rate, Ratio and Proportions Write ratios comparing two quantities in multiple forms Find unit rates using division Find unit rates using proportions Find unit rates creating equivalent fractions with equal denominators Find unit rates with complex fractions Comparing unit rates Finding equivalent ratios using cross products Solving proportions Graphing proportional Relationship Recognizing proportional relationships in tables, graphs and lists Determine the constant of proportionality from tables, graphs and lists
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Expressions and Equations variable algebraic expression algebra coefficient define a variable properties distribute factor like term unlike terms constant simplest form linear expressions counter examples monomial
Rates, Rate and Proportion Complex Fraction Constant of Proportionality Constant Rate of Change Constant of Variation Coordinate Plane Cartesian Plane Cross Products Dimensional Analysis Direct Variation Equivalent Ratios Non-proportional Proportional Ordered Pairs Origiin Quadrants Rate Rate of Change Slope Unit Rate X-axis Y-axis abscissa ordinate X-coordinate Y-coordinate
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